
Time bar (total: 9.0s)
| 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)
| 3.3s | 7 818× | 5 | exit |
| 851.0ms | 1 632× | 2 | valid |
| 446.0ms | 2 276× | 1 | valid |
| 269.0ms | 4 348× | 0 | valid |
ival-exp: 2.1s (50.8% of total)ival-log: 1.1s (26.3% of total)adjust: 748.0ms (17.9% of total)ival-add!: 205.0ms (4.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 126 | 0 | - | 0 | - | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (exp.f64 b) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (exp.f64 a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | sensitivity | 122 | 0 |
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | oflow-rescue | 4 | 0 |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | overflow | 4 | |
| ↳ | (exp.f64 a) | overflow | 1 | |
| ↳ | (exp.f64 b) | overflow | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 126 | 0 |
| - | 0 | 130 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 126 | 0 | 0 |
| - | 0 | 0 | 130 |
| number | freq |
|---|---|
| 0 | 130 |
| 1 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 62.0ms | 116× | 2 | valid |
| 29.0ms | 122× | 1 | valid |
| 16.0ms | 274× | 0 | valid |
Compiled 44 to 22 computations (50% saved)
ival-log: 48.0ms (54.5% of total)ival-exp: 32.0ms (36.3% of total)adjust: 5.0ms (5.7% of total)ival-add!: 3.0ms (3.4% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 42 |
| 1 | 37 | 42 |
| 2 | 94 | 42 |
| 3 | 358 | 42 |
| 4 | 1773 | 42 |
| 5 | 6967 | 42 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.1% | (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)) |
#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 | |
|---|---|---|---|---|
| 37.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) a (exp b) b) |
| 33.0ms | 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) |
| 14.0ms | 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 | 133 | 549 |
| 0 | 137 | 533 |
| 1 | 867 | 533 |
| 0 | 8509 | 485 |
| 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)) |
#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 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))) |
(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 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(+.f64 (+.f64 (exp.f64 b) (cosh.f64 a)) (sinh.f64 a)) |
(+.f64 (+.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) |
(+.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) (exp.f64 a))) |
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 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 (*.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 (cosh.f64 a) #s(literal 1 binary64)) (*.f64 (sinh.f64 a) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 a)) (*.f64 #s(literal 1 binary64) (sinh.f64 a))) |
(+.f64 (cosh.f64 a) (sinh.f64 a)) |
a |
(*.f64 #s(literal 1 binary64) (exp.f64 b)) |
(/.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 (cosh.f64 b) #s(literal 1 binary64)) (*.f64 (sinh.f64 b) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 b)) (*.f64 #s(literal 1 binary64) (sinh.f64 b))) |
(+.f64 (cosh.f64 b) (sinh.f64 b)) |
b |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) a (log1p.f64 (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 (exp.f64 b) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64)))) (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) a (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64))) a (log1p.f64 (exp.f64 b)))) |
#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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (-.f64 (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))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64))) b (log1p.f64 (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 (exp.f64 a) #s(literal -1 binary64)) #s(literal -3 binary64)) #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #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 (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a)))) |
#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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
#s(approx (+ (exp a) (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 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
#s(approx (exp b) #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 1 099 to 293 computations (73.3% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 60 | 11 | 71 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 60 | 12 | 72 |
| Status | Accuracy | Program |
|---|---|---|
| 54.6% | (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) | |
| ✓ | 55.1% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 53.6% | (log.f64 (+.f64 (exp.f64 a) #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))))) | |
| 53.2% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) | |
| 52.5% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) | |
| ▶ | 49.9% | (log.f64 (+.f64 #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))) (exp.f64 b))) |
| ▶ | 51.1% | (log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))) |
| ▶ | 49.7% | (log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
| ▶ | 97.6% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
| 50.9% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))) | |
| 51.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) | |
| ▶ | 50.8% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
Compiled 328 to 254 computations (22.6% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) |
(/.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) |
(log1p.f64 (exp.f64 a)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
(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 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))) |
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)) |
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(log.f64 (+.f64 #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))) (exp.f64 b))) |
(+.f64 #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))) (exp.f64 b)) |
#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))) |
(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)) |
(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) |
| 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 (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #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 (+ 1 (exp a)))) #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 (+ 1 (exp a))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (log (+ 1 (exp a))) #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 (- a -1) #s(hole binary64 1)) |
#s(approx (- a -1) #s(hole binary64 (+ 1 a))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 a))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1)) |
#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 (+ 1 (exp a)))) #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 (+ 1 (exp a))) #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)) |
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (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 (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #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) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 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 (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #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) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6))))) |
#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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx b #s(hole binary64 b)) |
#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)) |
#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 (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (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)) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6) |
| 26.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (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)) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6) |
| 18.0ms | a | @ | 0 | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (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)) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6) |
| 12.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (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)) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6) |
| 9.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) b (- (exp a) -1) (exp a) a -1 (log (+ 1 (exp a))) (log (+ (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)) (exp a) (+ (* (+ (* 1/2 a) 1) a) 1) (+ (* 1/2 a) 1) 1/2 1 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+ (* (+ (* 1/6 a) 1/2) a) 1) (+ (* 1/6 a) 1/2) 1/6) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 336 | 1718 |
| 0 | 368 | 1611 |
| 1 | 2017 | 1607 |
| 0 | 9043 | 1553 |
| 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))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) |
(/.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) |
(log1p.f64 (exp.f64 a)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
(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 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))) |
(+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b)) |
#s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(log.f64 (+.f64 #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))) (exp.f64 b))) |
(+.f64 #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))) (exp.f64 b)) |
#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))) |
(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)) |
(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(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 (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #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 (+ 1 (exp a)))) #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 (+ 1 (exp a))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (log (+ 1 (exp a))) #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 (- a -1) #s(hole binary64 1)) |
#s(approx (- a -1) #s(hole binary64 (+ 1 a))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 a))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 a) 1) #s(hole binary64 (+ 1 (* 1/2 a)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 a))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(hole binary64 1)) |
#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 (+ 1 (exp a)))) #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 (+ 1 (exp a))) #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)) |
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 a))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 a))))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(hole binary64 (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (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 (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* 1/6 (pow a 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #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) 1) #s(hole binary64 (* (pow a 3) (+ 1/6 (+ (* 1/2 (/ 1 a)) (+ (/ 1 (pow a 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 (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) #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) 1) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))) a)) 1/6))))) |
#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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx b #s(hole binary64 b)) |
#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)) |
#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 (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (/.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 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #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 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))) |
(-.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))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))) |
(+.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 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) |
(/.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 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 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 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (+.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal -1 binary64)))))) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(/.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))))) |
(exp.f64 a) |
(+.f64 (cosh.f64 a) (sinh.f64 a)) |
a |
#s(literal -1 binary64) |
(log1p.f64 (exp.f64 a)) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 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))) (log1p.f64 (exp.f64 a))) |
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))) |
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.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 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (exp.f64 b) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
(/.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b)))) |
(+.f64 (/.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.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))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))) |
(fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) |
(fma.f64 a #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) a)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)) |
#s(literal 1/6 binary64) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a (log1p.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a (log1p.f64 (exp.f64 b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.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 (+ 1 (exp a)))) (+.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 (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a) #s(literal -1 binary64) #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)) (*.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 (fma.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 b #s(literal 0 binary64)) (*.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 (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp a))) (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 (+ 1 (exp a))) (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 (- a -1) #s(literal 1 binary64)) |
#s(approx (- a -1) (+.f64 #s(literal 1 binary64) a)) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (+.f64 #s(literal 1 binary64) a)) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (+ (* 1/2 a) 1) #s(literal 1 binary64)) |
#s(approx (+ (* 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) a) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (+.f64 #s(literal 1 binary64) a)) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) 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 1 binary64))) |
#s(approx (+ (* (+ (* 1/6 a) 1/2) a) 1) #s(literal 1 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 (+ (* 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 (+ 1 (exp a)))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (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 (+ 1 (exp a))) (log1p.f64 (exp.f64 a))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(approx (- a -1) a) |
#s(approx (- a -1) (fma.f64 #s(literal 1 binary64) a #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a)) |
#s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (+.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -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 (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 a #s(literal -2 binary64))) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/6 binary64)) (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 a #s(literal -2 binary64)))) (pow.f64 a #s(literal 3 binary64)))) |
#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) (pow.f64 a #s(literal -2 binary64))) #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 (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))) |
#s(approx (+ (* (+ (* (+ (* 1/6 a) 1/2) a) 1) a) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 a #s(literal -2 binary64))) a)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a))) |
#s(approx b b) |
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
#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) #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 (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)) |
#s(approx (exp b) (exp.f64 b)) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b))) |
Compiled 8 558 to 1 472 computations (82.8% saved)
18 alts after pruning (14 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 310 | 12 | 322 |
| Fresh | 4 | 2 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 0 | 1 |
| Total | 316 | 18 | 334 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.9% | (log.f64 (+.f64 #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))) (exp.f64 b))) |
| ✓ | 51.1% | (log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))) |
| 49.3% | (log.f64 (+.f64 #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 b) #s(literal 1 binary64)))) | |
| ✓ | 49.7% | (log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
| 48.8% | (log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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))))) | |
| ▶ | 48.5% | (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))))) |
| 3.4% | (log.f64 (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b))) | |
| 50.9% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))) | |
| 48.1% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)))) | |
| ▶ | 51.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
| ✓ | 50.8% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| 47.8% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| ▶ | 49.1% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| ▶ | 49.8% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
| ▶ | 51.7% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
| 49.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) | |
| 49.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| 49.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
Compiled 569 to 448 computations (21.3% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
b |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
#s(literal 1 binary64) |
(exp.f64 a) |
a |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(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))))) |
(+.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)))) |
#s(approx (exp a) (-.f64 a #s(literal -1 binary64))) |
(-.f64 a #s(literal -1 binary64)) |
#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))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #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 (+ 1 (exp a)))) #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 (+ 1 (exp a))) #s(hole binary64 (* 1/2 b))) |
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b)))) |
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))))) |
#s(approx (/ b (+ 1 (exp a))) #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 (+ 1 (exp a)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 a))) |
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (+ 1 (exp a)) #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 (+ 1 (exp a))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (log (+ 1 (exp a))) #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 (- a -1) #s(hole binary64 1)) |
#s(approx (- a -1) #s(hole binary64 (+ 1 a))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))) |
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (log (+ 1 (exp a))) #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)) |
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#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)) |
#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 b) 1) b) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b)))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b))))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2)))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b))))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2))))))) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b))))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) -1 (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b)) |
| 27.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) -1 (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b)) |
| 18.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) -1 (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b)) |
| 14.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) -1 (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b)) |
| 5.0ms | b | @ | 0 | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) b (+ 1 (exp a)) 1 (exp a) a (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) 1/2 (log 2) 2 (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (- a -1) -1 (exp b) (+ (* (+ (* 1/2 b) 1) b) 1) (+ (* 1/2 b) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 311 | 1519 |
| 0 | 325 | 1447 |
| 1 | 1886 | 1442 |
| 0 | 8409 | 1333 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
b |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
#s(literal 1 binary64) |
(exp.f64 a) |
a |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(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))))) |
(+.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)))) |
#s(approx (exp a) (-.f64 a #s(literal -1 binary64))) |
(-.f64 a #s(literal -1 binary64)) |
#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))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #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 (+ 1 (exp a)))) #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 (+ 1 (exp a))) #s(hole binary64 (* 1/2 b))) |
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b)))) |
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))))) |
#s(approx (/ b (+ 1 (exp a))) #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 (+ 1 (exp a)) #s(hole binary64 2)) |
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 a))) |
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (+ 1 (exp a)) #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 (+ 1 (exp a))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (log (+ 1 (exp a))) #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 (- a -1) #s(hole binary64 1)) |
#s(approx (- a -1) #s(hole binary64 (+ 1 a))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))) |
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ 1 (exp a)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (log (+ 1 (exp a))) #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)) |
#s(approx (- a -1) #s(hole binary64 (* a (+ 1 (/ 1 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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#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)) |
#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 b) 1) b) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 b))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 b)))))) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (+ 1 (* 1/2 b)))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b))))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* 1/2 (pow b 2)))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (/ 1 b))))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) #s(hole binary64 (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2))))))) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* 1/2 b) 1) #s(hole binary64 (* b (+ 1/2 (/ 1 b))))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(/.f64 (neg.f64 b) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
b |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.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))))) |
(exp.f64 a) |
(+.f64 (cosh.f64 a) (sinh.f64 a)) |
a |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64)))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) b)) |
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)) |
#s(literal 1/2 binary64) |
(+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)))) (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)))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (*.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 b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #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 a) (-.f64 a #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.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)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (*.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)))))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64))) (-.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))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (*.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))))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.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))))) (/.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (-.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)))))) |
(+.f64 (/.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (*.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))))))) (/.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #s(literal 2 binary64)) (*.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)))))))) |
(+.f64 #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 a) (-.f64 a #s(literal -1 binary64)))) |
(+.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)))) |
#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 (pow.f64 a #s(literal 3 binary64)) #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 (pow.f64 a #s(literal 3 binary64)) #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 (pow.f64 a #s(literal 3 binary64)) (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)) |
#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))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)) |
(*.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) b) |
(*.f64 b (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 b (pow.f64 b #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 b (pow.f64 b #s(literal -1 binary64))) (*.f64 b (pow.f64 b #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 b (pow.f64 b #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
(fma.f64 #s(literal 1/2 binary64) b (*.f64 b (pow.f64 b #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) |
(fma.f64 b #s(literal 1/2 binary64) (*.f64 b (pow.f64 b #s(literal -1 binary64)))) |
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 b (pow.f64 b #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.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))))) |
(exp.f64 b) |
(+.f64 (cosh.f64 b) (sinh.f64 b)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a (log1p.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a (log1p.f64 (exp.f64 b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) b)) a))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.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 (+ 1 (exp a)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a) #s(literal -1 binary64) #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))) |
#s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)) |
#s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 b #s(literal 0 binary64)) (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (+ 1 (exp a))) (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 (+ 1 (exp a)) #s(literal 2 binary64)) |
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a)) |
#s(approx (+ 1 (exp a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64))) |
#s(approx (+ 1 (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 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 (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp a))) (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 (+ 1 (exp a))) (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 (- a -1) #s(literal 1 binary64)) |
#s(approx (- a -1) (+.f64 #s(literal 1 binary64) a)) |
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) |
#s(approx (/ b (+ 1 (exp a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (+ 1 (exp a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
#s(approx (exp a) (exp.f64 a)) |
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(approx (- a -1) a) |
#s(approx (- a -1) (fma.f64 #s(literal 1 binary64) a #s(literal 1 binary64))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a))) |
#s(approx b b) |
#s(approx (+ (* 1/2 b) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* 1/2 b) (log 2)) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
#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) #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 b) 1) b) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (+.f64 #s(literal 1 binary64) b)) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
#s(approx (+ (* 1/2 b) 1) #s(literal 1 binary64)) |
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) |
#s(approx (log (+ 1 (exp b))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp b))) (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 (+ 1 (exp b))) (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 (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)) |
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) |
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b)) |
#s(approx (exp b) (exp.f64 b)) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (fma.f64 (*.f64 b b) #s(literal 1/2 binary64) b)) |
#s(approx (+ (* (+ (* 1/2 b) 1) b) 1) (*.f64 (+.f64 (+.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 b b))) |
#s(approx (+ (* 1/2 b) 1) (*.f64 #s(literal 1/2 binary64) b)) |
#s(approx (+ (* 1/2 b) 1) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) |
#s(approx (log (+ 1 (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b))) |
#s(approx (+ (* 1/2 b) (log 2)) (neg.f64 (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) b) #s(literal 1/2 binary64)) b))) |
Compiled 6 097 to 973 computations (84% saved)
22 alts after pruning (14 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 203 | 6 | 209 |
| Fresh | 1 | 8 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 205 | 22 | 227 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.9% | (log.f64 (+.f64 #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))) (exp.f64 b))) |
| ✓ | 51.1% | (log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))) |
| 49.3% | (log.f64 (+.f64 #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 b) #s(literal 1 binary64)))) | |
| ✓ | 49.7% | (log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
| 3.4% | (log.f64 (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b))) | |
| ▶ | 50.9% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))) |
| 48.1% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)))) | |
| ✓ | 51.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
| ✓ | 50.8% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| 47.8% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| ✓ | 49.1% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| ✓ | 49.8% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
| ✓ | 51.7% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
| 5.4% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) | |
| ▶ | 3.6% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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))))) |
| 5.4% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) | |
| ▶ | 12.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
| 50.2% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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))))) | |
| 50.2% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) | |
| ▶ | 49.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) |
| ▶ | 49.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
| 49.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
Compiled 806 to 589 computations (26.9% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))) |
(+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))) |
(/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
a |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
b |
#s(literal -1 binary64) |
(log1p.f64 (exp.f64 b)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (/ b (+ 1 (exp a))) (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))) |
(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)) |
(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)) |
(-.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))) |
(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 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 b #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(*.f64 b #s(literal -1/48 binary64)) |
#s(literal -1/48 binary64) |
(*.f64 #s(literal -1/4 binary64) b) |
#s(literal -1/4 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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 (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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 (log (+ 1 (exp a))) (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)))) |
(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))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(*.f64 a a) |
#s(literal -1/192 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 (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (/ a (+ 1 (exp b))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #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 (+ 1 (exp a)))) #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 (+ 1 (exp a))) #s(hole binary64 (* 1/2 b))) |
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b)))) |
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))))) |
#s(approx (/ b (+ 1 (exp a))) #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 (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b)))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b))))))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* -1/4 b))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (+ (* -1/4 b) (* 1/48 (* (pow a 2) b))))) |
#s(approx (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) #s(hole binary64 (* 1/48 (* a b)))) |
#s(approx (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) #s(hole binary64 (* 1/48 (* a b)))) |
#s(approx (* (+ (* -1/2 (* b 0)) (* b -1/48)) a) #s(hole binary64 (* -1/48 (* a b)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow a 2))))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (/ a (+ 1 (exp b))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (* a (+ (/ 1 (+ 1 (exp b))) (/ (log (+ 1 (exp b))) a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))) |
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/48 (* (pow a 3) b)))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b))))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3)))))))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* 1/48 (* (pow a 2) b)))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* 1/8 (pow a 2)))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2))))))) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* 1/8 a))) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* a (+ 1/8 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* -1/192 (pow a 4)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1/192 (pow a 3)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)))) |
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow a 2)))) |
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log (+ 1 (exp b))) a)) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a)))))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2)))))))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 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 (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- 1/2 (* 1/4 a))))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #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 (+ 1 (exp b)))) #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 (* 1/2 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)) |
#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 1)) |
#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 (log (+ 1 (exp b))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* b (- (* 1/48 (pow a 2)) 1/4)))) |
#s(approx (+ (* -1/2 (* b 0)) (* b -1/48)) #s(hole binary64 (* -1/48 b))) |
#s(approx (* b 0) #s(hole binary64 0)) |
#s(approx (* b -1/48) #s(hole binary64 (* -1/48 b))) |
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2))))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/48 (pow a 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 69.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/ a (- (exp b) -1)) a (- (exp b) -1) (exp b) b -1 (log (+ 1 (exp b))) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* (+ (* -1/2 (* b 0)) (* b -1/48)) a) (+ (* -1/2 (* b 0)) (* b -1/48)) -1/2 (* b 0) 0 (* b -1/48) -1/48 (* -1/4 b) -1/4 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192) |
| 21.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/ a (- (exp b) -1)) a (- (exp b) -1) (exp b) b -1 (log (+ 1 (exp b))) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* (+ (* -1/2 (* b 0)) (* b -1/48)) a) (+ (* -1/2 (* b 0)) (* b -1/48)) -1/2 (* b 0) 0 (* b -1/48) -1/48 (* -1/4 b) -1/4 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192) |
| 19.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/ a (- (exp b) -1)) a (- (exp b) -1) (exp b) b -1 (log (+ 1 (exp b))) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* (+ (* -1/2 (* b 0)) (* b -1/48)) a) (+ (* -1/2 (* b 0)) (* b -1/48)) -1/2 (* b 0) 0 (* b -1/48) -1/48 (* -1/4 b) -1/4 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192) |
| 18.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/ a (- (exp b) -1)) a (- (exp b) -1) (exp b) b -1 (log (+ 1 (exp b))) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* (+ (* -1/2 (* b 0)) (* b -1/48)) a) (+ (* -1/2 (* b 0)) (* b -1/48)) -1/2 (* b 0) 0 (* b -1/48) -1/48 (* -1/4 b) -1/4 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192) |
| 18.0ms | b | @ | 0 | ((log (+ (exp a) (exp b))) (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/ a (- (exp b) -1)) a (- (exp b) -1) (exp b) b -1 (log (+ 1 (exp b))) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (* 1/2 b) 1/2 (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* (+ (* -1/2 (* b 0)) (* b -1/48)) a) (+ (* -1/2 (* b 0)) (* b -1/48)) -1/2 (* b 0) 0 (* b -1/48) -1/48 (* -1/4 b) -1/4 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) 1/8 (log 2) 2 (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (* a a) -1/192) 1/8) (* a a) -1/192) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 485 | 3073 |
| 0 | 529 | 2773 |
| 1 | 2846 | 2771 |
| 0 | 8144 | 2609 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))) |
(+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))) |
(/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
a |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
b |
#s(literal -1 binary64) |
(log1p.f64 (exp.f64 b)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (/ b (+ 1 (exp a))) (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))) |
(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)) |
(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)) |
(-.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))) |
(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 (fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) a) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 b #s(literal 0 binary64)) (*.f64 b #s(literal -1/48 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 b #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(*.f64 b #s(literal -1/48 binary64)) |
#s(literal -1/48 binary64) |
(*.f64 #s(literal -1/4 binary64) b) |
#s(literal -1/4 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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 (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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 (log (+ 1 (exp a))) (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)))) |
(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))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(*.f64 a a) |
#s(literal -1/192 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 (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))))) |
#s(approx (/ a (- (exp b) -1)) #s(hole binary64 (/ a (+ 1 (exp b))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #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 (+ 1 (exp a)))) #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 (+ 1 (exp a))) #s(hole binary64 (* 1/2 b))) |
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b)))) |
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))))) |
#s(approx (/ b (+ 1 (exp a))) #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 (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b)))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b))))))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* -1/4 b))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (+ (* -1/4 b) (* 1/48 (* (pow a 2) b))))) |
#s(approx (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) #s(hole binary64 (* 1/48 (* a b)))) |
#s(approx (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) #s(hole binary64 (* 1/48 (* a b)))) |
#s(approx (* (+ (* -1/2 (* b 0)) (* b -1/48)) a) #s(hole binary64 (* -1/48 (* a b)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 1/8)) |
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (+ 1/8 (* -1/192 (pow a 2))))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (/ a (+ 1 (exp b))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (* a (+ (/ 1 (+ 1 (exp b))) (/ (log (+ 1 (exp b))) a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))) |
#s(approx (/ b (+ 1 (exp a))) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* 1/48 (* (pow a 3) b)))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b))))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3)))))))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* 1/48 (* (pow a 2) b)))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* 1/8 (pow a 2)))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2))))))) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* 1/8 a))) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* a (+ 1/8 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* -1/192 (pow a 4)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1/192 (pow a 3)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)))) |
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* -1/192 (pow a 2)))) |
#s(approx (+ (* (* a a) -1/192) 1/8) #s(hole binary64 (* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (log (+ 1 (exp b))) a)) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a)))))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2)))))))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 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 (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 a) (* b (- 1/2 (* 1/4 a))))))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) #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 (+ 1 (exp b)))) #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 (* 1/2 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)) |
#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 1)) |
#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 (log (+ 1 (exp b))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* b (+ 1/2 (* a (- (* 1/48 (pow a 2)) 1/4)))))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* b (- (* 1/48 (pow a 2)) 1/4)))) |
#s(approx (+ (* -1/2 (* b 0)) (* b -1/48)) #s(hole binary64 (* -1/48 b))) |
#s(approx (* b 0) #s(hole binary64 0)) |
#s(approx (* b -1/48) #s(hole binary64 (* -1/48 b))) |
#s(approx (* -1/4 b) #s(hole binary64 (* -1/4 b))) |
#s(approx (- (exp b) -1) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) #s(hole binary64 (* -1 (* b (- (* a (+ 1/4 (* -1/48 (pow a 2)))) 1/2))))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/48 (pow a 2))))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64))) (-.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) #s(literal 2 binary64)) (-.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))))) |
(+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b))) |
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 a) (neg.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
a |
(/.f64 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (+.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))) |
(/.f64 (expm1.f64 (+.f64 b b)) (+.f64 (exp.f64 b) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (+.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 b) (exp.f64 b) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) #s(literal -1 binary64)))))) |
(-.f64 (exp.f64 b) #s(literal -1 binary64)) |
(exp.f64 b) |
(+.f64 (cosh.f64 b) (sinh.f64 b)) |
b |
#s(literal -1 binary64) |
(log1p.f64 (exp.f64 b)) |
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(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 a) (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) #s(literal -1/192 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) #s(literal -1/192 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 (*.f64 a a) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) #s(literal -1/192 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) |
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) #s(literal -1/192 binary64)))))) |
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 (*.f64 a a) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))))) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) |
(fma.f64 a (*.f64 a #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) |
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) #s(literal -1/192 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) #s(literal -1/192 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)))) |
(-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 a a))) |
(+.f64 (*.f64 (*.f64 a a) #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) #s(literal -1/192 binary64))) |
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a))) |
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a))) |
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a))) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 (fabs.f64 a) (fabs.f64 a)) |
(*.f64 a a) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 (fabs.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 -1/192 binary64) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a (log1p.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a (log1p.f64 (exp.f64 b)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (log1p.f64 (exp.f64 b))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))) |
#s(approx (/ a (- (exp b) -1)) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
#s(approx a a) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.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 (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 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 (+ 1 (exp a)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a) #s(literal 1/8 binary64)) #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 (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)) |
#s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) a) #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (+ 1 (exp a))) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (*.f64 #s(literal 1/2 binary64) b)) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/48 binary64) (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (*.f64 #s(literal -1/4 binary64) b)) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/48 binary64) (*.f64 #s(literal -1/4 binary64) b))) |
#s(approx (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) (*.f64 #s(literal 1/48 binary64) (*.f64 b a))) |
#s(approx (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (*.f64 #s(literal 1/48 binary64) (*.f64 b a))) |
#s(approx (* (+ (* -1/2 (* b 0)) (* b -1/48)) a) (*.f64 (*.f64 b a) #s(literal -1/48 binary64))) |
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp a))) (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 (+ 1 (exp a))) (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 (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* 1/8 a) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/8 a) 1/2) (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (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 (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))) |
#s(approx (+ (* (* a a) -1/192) 1/8) #s(literal 1/8 binary64)) |
#s(approx (+ (* (* a a) -1/192) 1/8) (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64))) |
#s(approx (* a a) (*.f64 a a)) |
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 b)) a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a)) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) |
#s(approx (/ b (+ 1 (exp a))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) b) #s(literal 1/48 binary64))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) b)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) #s(literal -1/4 binary64) (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) b))) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (*.f64 (*.f64 (*.f64 a a) b) #s(literal 1/48 binary64))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) b)) (*.f64 a a))) |
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a a))) |
#s(approx (+ (* 1/8 a) 1/2) (*.f64 #s(literal 1/8 binary64) a)) |
#s(approx (+ (* 1/8 a) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) a)) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/192 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/192 binary64))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (*.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (* a a) -1/192) 1/8) (*.f64 (*.f64 a a) #s(literal -1/192 binary64))) |
#s(approx (+ (* (* a a) -1/192) 1/8) (*.f64 (-.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/192 binary64)) (*.f64 a a))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 b))) a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))) a))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (neg.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) b)) (pow.f64 a #s(literal 3 binary64))))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (neg.f64 (*.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 b (*.f64 a a)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) b))) (pow.f64 a #s(literal 3 binary64))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 3 binary64))))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/192 binary64) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 a #s(literal 3 binary64))))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a)) #s(literal -1 binary64) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 3 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (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) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (+.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 (+ 1 (exp b)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 0 binary64) a)) 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 (+ 1 (exp b)))) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64) (*.f64 a #s(literal -1/48 binary64))) b) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 #s(literal 0 binary64) a)) 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)) (*.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))) |
#s(approx (/ a (- (exp b) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal 0 binary64) a) (*.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 #s(literal 0 binary64) a) #s(literal -1/2 binary64) (*.f64 a #s(literal -1/48 binary64))) b)) (*.f64 #s(literal 0 binary64) a)) b (*.f64 #s(literal -1/4 binary64) a)) b (*.f64 #s(literal 1/2 binary64) a))) |
#s(approx (- (exp b) -1) #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) #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 (log (+ 1 (exp b))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp b))) (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 (+ 1 (exp b))) (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 (+ 1 (exp a)))) (log1p.f64 (exp.f64 a))) |
#s(approx (* 1/2 b) (*.f64 #s(literal 1/2 binary64) b)) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) a #s(literal 1/2 binary64)) b)) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b)) |
#s(approx (+ (* -1/2 (* b 0)) (* b -1/48)) (*.f64 #s(literal -1/48 binary64) b)) |
#s(approx (* b 0) #s(literal 0 binary64)) |
#s(approx (* b -1/48) (*.f64 #s(literal -1/48 binary64) b)) |
#s(approx (* -1/4 b) (*.f64 #s(literal -1/4 binary64) b)) |
#s(approx (- (exp b) -1) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
#s(approx (exp b) (exp.f64 b)) |
#s(approx (log (+ 1 (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b)) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 (log1p.f64 (exp.f64 a))) b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b))) |
#s(approx (+ (* (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) a) (* 1/2 b)) (neg.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) a) #s(literal 1/2 binary64)) b))) |
#s(approx (+ (* (- (neg (* (+ (* -1/2 (* b 0)) (* b -1/48)) a)) (* b 0)) a) (* -1/4 b)) (neg.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) b))) |
Compiled 17 524 to 2 279 computations (87% saved)
18 alts after pruning (10 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 400 | 6 | 406 |
| Fresh | 5 | 4 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 3 | 5 | 8 |
| Total | 410 | 18 | 428 |
| Status | Accuracy | Program |
|---|---|---|
| 49.3% | (log.f64 (+.f64 #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 b) #s(literal 1 binary64)))) | |
| ✓ | 51.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
| ✓ | 50.8% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| 47.8% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| ✓ | 49.1% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| ✓ | 49.8% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
| ✓ | 51.7% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
| ✓ | 12.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
| 49.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) | |
| 2.6% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) | |
| 50.2% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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))))) | |
| 50.2% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) | |
| ✓ | 49.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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))))) |
| ✓ | 49.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
| 49.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))) | |
| 27.7% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a))))) | |
| 2.4% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) | |
| 3.2% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
Compiled 1 178 to 525 computations (55.4% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (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 (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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) (exp b))) #s(approx (log (+ 1 (exp b))) (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 a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.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) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #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 b) #s(literal 1 binary64)))) |
(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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(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))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #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) (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))) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #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 (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
6 calls:
| 19.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 14.0ms | b |
| 9.0ms | a |
| 7.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 7.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | (exp.f64 b) |
| 97.6% | 1 | (exp.f64 a) |
| 97.6% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 97.6% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 97.6% | 1 | a |
| 97.6% | 1 | b |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (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 (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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) (exp b))) #s(approx (log (+ 1 (exp b))) (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 a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.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) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #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 b) #s(literal 1 binary64)))) |
(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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(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))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #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) (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))) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #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 (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
6 calls:
| 16.0ms | b |
| 12.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 9.0ms | (exp.f64 b) |
| 9.0ms | a |
| 6.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 1 | (exp.f64 b) |
| 98.8% | 2 | (exp.f64 a) |
| 98.5% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 98.5% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 98.8% | 2 | a |
| 67.2% | 2 | b |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (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 (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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) (exp b))) #s(approx (log (+ 1 (exp b))) (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 a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.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) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #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 b) #s(literal 1 binary64)))) |
(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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(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))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #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) (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))) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #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 (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (cosh.f64 a) (sinh.f64 a)))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #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))) (exp.f64 b))) |
2 calls:
| 8.0ms | a |
| 6.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | (exp.f64 a) |
| 98.7% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (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 (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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) (exp b))) #s(approx (log (+ 1 (exp b))) (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 a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.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) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #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 b) #s(literal 1 binary64)))) |
(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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(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))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))) (exp.f64 b))) |
2 calls:
| 8.0ms | a |
| 6.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | (exp.f64 a) |
| 98.7% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (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 (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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) (exp b))) #s(approx (log (+ 1 (exp b))) (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 a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.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) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #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 b) #s(literal 1 binary64)))) |
(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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(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))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(approx (+ (* (+ (* 1/2 a) 1) a) 1) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) (exp.f64 b))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) (exp.f64 b))) |
2 calls:
| 23.0ms | a |
| 5.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | (exp.f64 a) |
| 98.5% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (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 (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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) (exp b))) #s(approx (log (+ 1 (exp b))) (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 a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.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) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #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 b) #s(literal 1 binary64)))) |
(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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
4 calls:
| 16.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 7.0ms | a |
| 5.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 5.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 97.7% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 98.1% | 2 | a |
| 98.1% | 2 | (exp.f64 a) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (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 (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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) (exp b))) #s(approx (log (+ 1 (exp b))) (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 a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.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) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #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 b) #s(literal 1 binary64)))) |
(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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1 binary64) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #s(approx (exp a) (-.f64 a #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))))) |
4 calls:
| 8.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 7.0ms | a |
| 5.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 5.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 96.8% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 97.6% | 2 | (exp.f64 a) |
| 97.6% | 2 | a |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (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 (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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) (exp b))) #s(approx (log (+ 1 (exp b))) (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 a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.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) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #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 b) #s(literal 1 binary64)))) |
(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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (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))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 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))))) |
2 calls:
| 6.0ms | a |
| 4.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 2 | (exp.f64 a) |
| 97.4% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (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 (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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) (exp b))) #s(approx (log (+ 1 (exp b))) (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 a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.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) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #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 b) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
2 calls:
| 7.0ms | a |
| 3.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | (exp.f64 a) |
| 97.2% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (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 (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (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) (exp b))) #s(approx (log (+ 1 (exp b))) (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 a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.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) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
5 calls:
| 18.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4.0ms | a |
| 4.0ms | b |
| 3.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 3.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 1 | b |
| 57.5% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 57.5% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 57.6% | 2 | (exp.f64 a) |
| 57.6% | 2 | a |
Compiled 15 to 18 computations (-20% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (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 (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
4 calls:
| 4.0ms | a |
| 3.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 3.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.1% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 57.1% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 57.2% | 2 | (exp.f64 a) |
| 57.2% | 2 | a |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (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 (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
4 calls:
| 5.0ms | a |
| 3.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.1% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 57.1% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 57.1% | 2 | (exp.f64 a) |
| 57.1% | 2 | a |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ a (- (exp b) -1)) (log (+ 1 (exp b)))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
4 calls:
| 3.0ms | a |
| 3.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 2.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 2 | (exp.f64 a) |
| 57.0% | 2 | a |
| 56.8% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 56.8% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
2 calls:
| 4.0ms | a |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.9% | 2 | (exp.f64 a) |
| 56.9% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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 (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
5 calls:
| 2.0ms | a |
| 2.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 2.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | (exp.f64 b) |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.1% | 1 | (exp.f64 b) |
| 56.4% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 56.4% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 56.5% | 2 | (exp.f64 a) |
| 56.5% | 2 | a |
Compiled 16 to 19 computations (-18.8% saved)
Total -6.4b remaining (-11.4%)
Threshold costs -6.4b (-11.4%)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ 1 (exp a)) (+.f64 #s(literal 2 binary64) a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (fma.f64 (*.f64 b a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (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))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 #s(literal 1/2 binary64) b)))) |
6 calls:
| 3.0ms | (exp.f64 b) |
| 2.0ms | a |
| 2.0ms | b |
| 2.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 2.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.1% | 1 | (exp.f64 b) |
| 12.1% | 1 | b |
| 12.1% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 12.1% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 12.1% | 1 | (exp.f64 a) |
| 12.1% | 1 | a |
Compiled 17 to 21 computations (-23.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | -64859061674.658165 | -0.006524528719124125 |
| 18.0ms | 141× | 1 | valid |
| 6.0ms | 12× | 2 | valid |
| 0.0ms | 7× | 0 | valid |
Compiled 329 to 281 computations (14.6% saved)
ival-log: 9.0ms (45.1% of total)ival-exp: 8.0ms (40.1% of total)adjust: 2.0ms (10% of total)ival-add!: 1.0ms (5% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | -64859061674.658165 | -0.006524528719124125 |
| 6.0ms | 128× | 0 | valid |
Compiled 439 to 351 computations (20% saved)
ival-exp: 2.0ms (53.8% of total)ival-log: 1.0ms (26.9% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -64859061674.658165 | -0.006524528719124125 |
| 9.0ms | 74× | 1 | valid |
| 0.0ms | 6× | 0 | valid |
Compiled 409 to 331 computations (19.1% saved)
ival-exp: 3.0ms (44.5% of total)ival-log: 2.0ms (29.7% of total)adjust: 1.0ms (14.8% of total)ival-add!: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9934967098028271 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9934967098028271 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | -64859061674.658165 | -0.006524528719124125 |
| 3.0ms | 64× | 0 | valid |
Compiled 479 to 381 computations (20.5% saved)
ival-exp: 1.0ms (53.3% of total)ival-log: 1.0ms (53.3% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -64859061674.658165 | -0.006524528719124125 |
Compiled 449 to 361 computations (19.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -64859061674.658165 | -0.006524528719124125 |
Compiled 479 to 391 computations (18.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | -64859061674.658165 | -0.006524528719124125 |
| 7.0ms | 56× | 1 | valid |
| 0.0ms | 8× | 0 | valid |
Compiled 519 to 391 computations (24.7% saved)
ival-exp: 3.0ms (49% of total)ival-log: 2.0ms (32.7% of total)adjust: 1.0ms (16.3% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -64859061674.658165 | -0.006524528719124125 |
Compiled 519 to 391 computations (24.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.002096621136960154 | 0.6898902373753207 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 60.0ms | -64859061674.658165 | -0.006524528719124125 |
| 3.0ms | 48× | 0 | valid |
Compiled 489 to 371 computations (24.1% saved)
ival-exp: 1.0ms (63.3% of total)ival-log: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -64859061674.658165 | -0.006524528719124125 |
Compiled 449 to 331 computations (26.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -64859061674.658165 | -0.006524528719124125 |
Compiled 429 to 321 computations (25.2% saved)
| 1× | fuel |
Compiled 726 to 118 computations (83.7% saved)
Compiled 2 916 to 1 118 computations (61.7% saved)
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