
Time bar (total: 10.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 6 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 7 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 8 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 9 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 10 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 11 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 8 computations (0% saved)
| 2.8s | 7 772× | 5 | exit |
| 880.0ms | 1 641× | 2 | valid |
| 514.0ms | 2 217× | 1 | valid |
| 284.0ms | 4 398× | 0 | valid |
adjust: 1.2s (32.2% of total)ival-log: 1.2s (31.9% of total)ival-exp: 1.0s (28.1% of total)ival-add: 279.0ms (7.6% of total)ival-assert: 7.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 117 | 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 | 112 | 0 |
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | oflow-rescue | 3 | 0 |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | overflow | 3 | |
| ↳ | (exp.f64 a) | overflow | 2 | |
| ↳ | (exp.f64 b) | overflow | 1 | |
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | uflow-rescue | 2 | 0 |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | underflow | 2 | |
| ↳ | (exp.f64 a) | underflow | 57 | |
| ↳ | (exp.f64 b) | underflow | 59 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 117 | 0 |
| - | 0 | 139 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 117 | 0 | 0 |
| - | 0 | 0 | 139 |
| number | freq |
|---|---|
| 0 | 139 |
| 1 | 117 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 38.0ms | 150× | 1 | valid |
| 33.0ms | 68× | 2 | valid |
| 17.0ms | 294× | 0 | valid |
Compiled 44 to 22 computations (50% saved)
ival-log: 39.0ms (55.1% of total)ival-exp: 21.0ms (29.7% of total)adjust: 6.0ms (8.5% of total)ival-add: 4.0ms (5.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% 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 |
| 0 | 6 | 6 |
| 0 | 10 | 6 |
| 1 | 17 | 6 |
| 2 | 40 | 6 |
| 3 | 112 | 6 |
| 4 | 515 | 6 |
| 5 | 5179 | 6 |
| 0 | 8304 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(sort a b)
Compiled 6 to 6 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.0% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 6 to 6 computations (0% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 b) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| cost-diff | 0 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 17 | 17 |
| 2 | 40 | 17 |
| 3 | 112 | 17 |
| 4 | 515 | 17 |
| 5 | 5179 | 17 |
| 0 | 8304 | 17 |
| 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 |
| Outputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 a) |
a |
(exp.f64 b) |
b |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 b) | |
| accuracy | 0.0 | (exp.f64 a) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| accuracy | 26.85909686266478 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 18.0ms | 34× | 2 | valid |
| 15.0ms | 75× | 1 | valid |
| 9.0ms | 147× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-log: 18.0ms (53.7% of total)ival-exp: 10.0ms (29.8% of total)adjust: 3.0ms (8.9% of total)ival-add: 2.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 a) |
(exp.f64 b) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#s(approx (exp a) #s(hole binary64 1)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 a)))))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#s(approx (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 (exp b) #s(hole binary64 (exp b))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 102.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 22.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 18.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 16.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 1.0ms | a | @ | 0 | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 518 |
| 1 | 345 | 518 |
| 2 | 1260 | 514 |
| 3 | 5625 | 514 |
| 0 | 8760 | 468 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 (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 (exp b) #s(hole binary64 (exp b))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 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))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 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))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (log1p.f64 (exp.f64 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 (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (log1p.f64 (exp.f64 b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#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)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#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(hole binary64 1)) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) (-.f64 a #s(literal -1 binary64))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 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) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#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 (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (exp a) (exp.f64 a)) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 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))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 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))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b (log1p.f64 (exp.f64 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 (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 a) b) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#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)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#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(hole binary64 1)) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) (-.f64 b #s(literal -1 binary64))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 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) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#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 (exp b) #s(hole binary64 (exp b))) |
#s(approx (exp b) (exp.f64 b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 30 | 15 |
| 2 | 225 | 15 |
| 3 | 2923 | 15 |
| 0 | 8580 | 15 |
| 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) |
(exp.f64 b) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64))) (log.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (*.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 b) (neg.f64 a))))) |
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))) (*.f64 (exp.f64 (neg.f64 b)) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))))) (log.f64 (*.f64 (exp.f64 (neg.f64 b)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (exp.f64 (neg.f64 a))) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) #s(literal 1 binary64)))) (log.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (exp.f64 (neg.f64 a))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))))) (log.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 a) (cosh.f64 b)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 b) #s(literal 2 binary64)))) (log.f64 (+.f64 (-.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 2 binary64)))) (log.f64 (-.f64 (cosh.f64 a) (-.f64 (sinh.f64 a) (exp.f64 b))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 a) (cosh.f64 b)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 a) (cosh.f64 b)) #s(literal 2 binary64)) (fma.f64 (sinh.f64 b) (sinh.f64 b) (*.f64 (-.f64 (exp.f64 a) (cosh.f64 b)) (sinh.f64 b)))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (pow.f64 (-.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (-.f64 (sinh.f64 a) (exp.f64 b))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) |
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))) (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))))) (log.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (exp.f64 (neg.f64 b))) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) #s(literal 1 binary64)))) (log.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (exp.f64 (neg.f64 b))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))))) (log.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) (sinh.f64 b)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (pow.f64 (+.f64 (sinh.f64 b) (exp.f64 a)) #s(literal 2 binary64)))) (log.f64 (-.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) (exp.f64 a))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (pow.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 2 binary64)))) (log.f64 (-.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 b))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a)))))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 a) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (*.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 b) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (*.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) (sinh.f64 b)))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 b) (exp.f64 a)) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (pow.f64 (+.f64 (sinh.f64 b) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) (exp.f64 a))))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (pow.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 b))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (log.f64 (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) #s(literal 3 binary64))))) (log.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)) (*.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 b) (neg.f64 a))))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (*.f64 (exp.f64 (neg.f64 b)) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))))) (log.f64 (*.f64 (exp.f64 (neg.f64 b)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))) |
(-.f64 (log.f64 (fma.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (exp.f64 (neg.f64 a)) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) #s(literal 1 binary64)))) (log.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (exp.f64 (neg.f64 a))))) |
(-.f64 (log.f64 (fma.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))))) (log.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) |
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (*.f64 (exp.f64 (neg.f64 a)) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))))) (log.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(-.f64 (log.f64 (fma.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (exp.f64 (neg.f64 b)) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) #s(literal 1 binary64)))) (log.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (exp.f64 (neg.f64 b))))) |
(-.f64 (log.f64 (fma.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))))) (log.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
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(+.f64 (+.f64 (cosh.f64 a) (exp.f64 b)) (sinh.f64 a)) |
(+.f64 (+.f64 (cosh.f64 b) (exp.f64 a)) (sinh.f64 b)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(+.f64 (sinh.f64 b) (-.f64 (cosh.f64 b) (exp.f64 a))) |
(+.f64 (sinh.f64 b) (+.f64 (cosh.f64 b) (exp.f64 a))) |
(+.f64 (cosh.f64 b) (-.f64 (sinh.f64 b) (exp.f64 a))) |
(+.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) (exp.f64 a))) |
(+.f64 (sinh.f64 a) (-.f64 (cosh.f64 a) (exp.f64 b))) |
(+.f64 (sinh.f64 a) (+.f64 (cosh.f64 a) (exp.f64 b))) |
(+.f64 (cosh.f64 a) (-.f64 (sinh.f64 a) (exp.f64 b))) |
(+.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 (sqrt.f64 (neg.f64 (neg.f64 (exp.f64 a)))) (sqrt.f64 (neg.f64 (neg.f64 (exp.f64 a))))) |
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 a))) (sqrt.f64 (neg.f64 (exp.f64 a)))) |
(*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a))) |
(*.f64 (pow.f64 (exp.f64 a) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a)))) |
(*.f64 (pow.f64 (exp.f64 a) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (*.f64 (sinh.f64 (neg.f64 b)) (sinh.f64 b)))) |
(pow.f64 (pow.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 b))) |
(pow.f64 (pow.f64 (exp.f64 a) (exp.f64 a)) (exp.f64 (neg.f64 a))) |
(pow.f64 (neg.f64 (exp.f64 a)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 a) #s(literal 1 binary64)) |
(/.f64 (fabs.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))) |
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 a) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a))))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a))))) #s(literal 4 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (exp.f64 a))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (exp.f64 a))) (sqrt.f64 (exp.f64 (neg.f64 a)))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 a) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64))) (sqrt.f64 (exp.f64 (neg.f64 a)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 a) (exp.f64 a)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) (*.f64 (sinh.f64 a) (exp.f64 a))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sinh.f64 a) (exp.f64 a)) #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 a) (exp.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 a) (exp.f64 a)) (*.f64 (sinh.f64 a) (exp.f64 a))))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 a)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))) (exp.f64 (neg.f64 a))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))) |
(/.f64 (pow.f64 (exp.f64 a) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (pow.f64 (sinh.f64 a) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (exp.f64 a) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (pow.f64 (sinh.f64 b) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (-.f64 (sinh.f64 a) (cosh.f64 a))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 a) (*.f64 #s(literal 2 binary64) (cosh.f64 a))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 a) (*.f64 #s(literal 2 binary64) (sinh.f64 a))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 a)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 a)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 a) (sinh.f64 a) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (sinh.f64 a) (cosh.f64 a)))))) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (fma.f64 (sinh.f64 a) (sinh.f64 a) (-.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (*.f64 (sinh.f64 a) (cosh.f64 a))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (pow.f64 (cosh.f64 a) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))) |
(sqrt.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a)))) |
(-.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a))) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))) (/.f64 (pow.f64 (cosh.f64 a) #s(literal 2 binary64)) (exp.f64 (neg.f64 a))))) |
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 a)))) |
(fabs.f64 (neg.f64 (exp.f64 a))) |
(fabs.f64 (exp.f64 a)) |
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) |
(exp.f64 (*.f64 a #s(literal 1 binary64))) |
(exp.f64 a) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a)))) (/.f64 (pow.f64 (sinh.f64 a) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) a)) (*.f64 (sinh.f64 a) (cosh.f64 a))))) |
(+.f64 (sinh.f64 a) (cosh.f64 a)) |
(+.f64 (cosh.f64 a) (sinh.f64 a)) |
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (exp.f64 b)))) (sqrt.f64 (neg.f64 (neg.f64 (exp.f64 b))))) |
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 b))) (sqrt.f64 (neg.f64 (exp.f64 b)))) |
(*.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b))) |
(*.f64 (pow.f64 (exp.f64 b) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 a)))) |
(*.f64 (pow.f64 (exp.f64 b) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) (*.f64 (sinh.f64 (neg.f64 b)) (sinh.f64 b)))) |
(pow.f64 (pow.f64 (exp.f64 b) (exp.f64 b)) (exp.f64 (neg.f64 b))) |
(pow.f64 (pow.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (neg.f64 a))) |
(pow.f64 (neg.f64 (exp.f64 b)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 b) #s(literal 1 binary64)) |
(/.f64 (fabs.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 b) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 b))))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 b))))) #s(literal 4 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (exp.f64 b))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (exp.f64 b))) (sqrt.f64 (exp.f64 (neg.f64 b)))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 b) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 b) #s(literal 1 binary64))) (sqrt.f64 (exp.f64 (neg.f64 b)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) (*.f64 (sinh.f64 b) (exp.f64 b))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 b) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 b) (exp.f64 b)) (*.f64 (sinh.f64 b) (exp.f64 b))))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))) (exp.f64 (neg.f64 b))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 b)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(/.f64 (pow.f64 (exp.f64 b) (pow.f64 (cosh.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) (pow.f64 (sinh.f64 a) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (exp.f64 b) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (pow.f64 (exp.f64 b) (pow.f64 (sinh.f64 b) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (pow.f64 (cosh.f64 b) #s(literal 2 binary64))) (-.f64 (sinh.f64 b) (cosh.f64 b))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 b) (*.f64 #s(literal 2 binary64) (cosh.f64 b))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 b) (*.f64 #s(literal 2 binary64) (sinh.f64 b))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 b)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 b)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 b)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b)))))) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (fma.f64 (sinh.f64 b) (sinh.f64 b) (-.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (pow.f64 (cosh.f64 b) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))) |
(sqrt.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b)))) |
(-.f64 (cosh.f64 b) (sinh.f64 (neg.f64 b))) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))) (/.f64 (pow.f64 (cosh.f64 b) #s(literal 2 binary64)) (exp.f64 (neg.f64 b))))) |
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 b)))) |
(fabs.f64 (neg.f64 (exp.f64 b))) |
(fabs.f64 (exp.f64 b)) |
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) #s(literal 2 binary64))) |
(exp.f64 (*.f64 b #s(literal 1 binary64))) |
(exp.f64 b) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 b) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b)))) (/.f64 (pow.f64 (sinh.f64 b) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) b)) (*.f64 (sinh.f64 b) (cosh.f64 b))))) |
(+.f64 (sinh.f64 b) (cosh.f64 b)) |
(+.f64 (cosh.f64 b) (sinh.f64 b)) |
Compiled 7 760 to 1 228 computations (84.2% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 297 | 9 | 306 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 297 | 10 | 307 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.3% | (-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) |
| 54.2% | (-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (pow.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 b))))))) | |
| ✓ | 58.0% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 57.4% | (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))))) | |
| ▶ | 56.9% | (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))))) |
| 56.3% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) | |
| ▶ | 55.5% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
| ▶ | 98.5% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
| 55.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) | |
| ▶ | 54.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
Compiled 288 to 214 computations (25.7% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (+.f64 (neg.f64 a) (neg.f64 b)) | |
| cost-diff | 1 | (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) | |
| cost-diff | 2 | (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))) | |
| cost-diff | 2 | (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (+.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)))) | |
| cost-diff | 0 | (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))))) | |
| cost-diff | 0 | (exp.f64 b) | |
| cost-diff | 0 | #s(approx (exp a) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) | |
| cost-diff | 0 | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (log1p.f64 (exp.f64 a)) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) | |
| cost-diff | 0 | (-.f64 (exp.f64 a) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) | |
| cost-diff | 0 | (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 214 |
| 0 | 64 | 195 |
| 1 | 109 | 195 |
| 2 | 273 | 195 |
| 3 | 1295 | 195 |
| 4 | 7317 | 195 |
| 0 | 8491 | 195 |
| 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))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 b) |
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))))) |
(+.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)))) |
(exp.f64 a) |
a |
#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(literal 1/2 binary64) |
b |
#s(literal 1 binary64) |
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) |
(log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 b)) |
(neg.f64 b) |
b |
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 a)) |
(neg.f64 a) |
a |
(log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))) |
(exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))) |
(+.f64 (neg.f64 a) (neg.f64 b)) |
| Outputs |
|---|
#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))) (+.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 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
b |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(exp.f64 a) |
a |
#s(literal -1 binary64) |
(log1p.f64 (exp.f64 a)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
a |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64)))) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) |
(+.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 b) |
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 b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a))) |
(+.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)))) |
(+.f64 #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) (exp.f64 a)) |
(exp.f64 a) |
a |
#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(literal 1/2 binary64) |
b |
#s(literal 1 binary64) |
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) |
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) (-.f64 (neg.f64 a) b)) |
(log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 b)) |
(neg.f64 b) |
b |
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 a)) |
(exp.f64 (neg.f64 a)) |
(neg.f64 a) |
a |
(log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))) |
(-.f64 (neg.f64 a) b) |
(exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))) |
(exp.f64 (-.f64 (neg.f64 a) b)) |
(+.f64 (neg.f64 a) (neg.f64 b)) |
(-.f64 (neg.f64 a) b) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 (neg.f64 a)) | |
| accuracy | 0.5181851797454121 | (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) | |
| accuracy | 0.7292666547053411 | (-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) | |
| accuracy | 31.306250770239707 | (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (+.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)))) | |
| accuracy | 0.7813324166544336 | #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) | |
| accuracy | 0.9908220402526772 | (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))))) | |
| accuracy | 0.0 | (exp.f64 b) | |
| accuracy | 0.0078125 | (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) | |
| accuracy | 0.9908220402526772 | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) | |
| accuracy | 1.099743507152716 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (log1p.f64 (exp.f64 a)) | |
| accuracy | 0.0 | (exp.f64 a) | |
| accuracy | 2.3275551328428286 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) | |
| accuracy | 0.0 | (exp.f64 a) | |
| accuracy | 0.00390625 | (-.f64 (exp.f64 a) #s(literal -1 binary64)) | |
| accuracy | 0.0078125 | (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) | |
| accuracy | 0.9642977432428482 | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
| 206.0ms | 113× | 5 | exit |
| 35.0ms | 139× | 0 | valid |
| 2.0ms | 4× | 1 | valid |
Compiled 183 to 30 computations (83.6% saved)
ival-log: 82.0ms (41% of total)adjust: 54.0ms (27% of total)ival-exp: 30.0ms (15% of total)ival-add: 11.0ms (5.5% of total)ival-mult: 10.0ms (5% of total)ival-sub: 5.0ms (2.5% of total)ival-div: 3.0ms (1.5% of total)ival-log1p: 2.0ms (1% of total)ival-neg: 2.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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))) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) |
#s(approx (exp 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))))) |
(+.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)))) |
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) |
(log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) |
(+.f64 (neg.f64 a) (neg.f64 b)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) |
(log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) |
(exp.f64 (neg.f64 a)) |
| 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 (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) #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 (+ (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 (neg a)) 1) #s(hole binary64 1)) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (+ 1 (* -1 a)))) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1))))) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1))))) |
#s(approx (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (* -1 b))) |
#s(approx (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (- (* -1 a) b))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (exp (neg b))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* -1 a))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* 1/2 a) 1)))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 b))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (- (* -1 a) b))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (log (+ 1 (exp (neg b))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- 1 (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* 1/2 (* a (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2)))))) (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* a (+ (* 1/6 (* a (- (* 3 (/ 1 (pow (+ 1 (exp (neg b))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg b))) 3))) (/ 1 (+ 1 (exp (neg b)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2))))))) (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (log (+ 1 (exp (neg b)))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* -1 (/ a (+ 1 (exp (neg b)))))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* a (- (* 1/2 (* a (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2))))) (/ 1 (+ 1 (exp (neg b))))))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* a (- (* a (+ (* 1/6 (* a (- (* 3 (/ 1 (pow (+ 1 (exp (neg b))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg b))) 3))) (/ 1 (+ 1 (exp (neg b)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2)))))) (/ 1 (+ 1 (exp (neg b))))))))) |
#s(approx (exp (neg a)) #s(hole binary64 1)) |
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* -1 a)))) |
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1))))) |
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1))))) |
#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 (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (exp (neg a)))) |
#s(approx (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (* -1 a))) |
#s(approx (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (* a (- (* -1 (/ b a)) 1)))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg a)) (exp (neg b))))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 a))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 a)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* a (+ 1 (+ (/ b a) (/ (log (+ (exp (neg a)) (exp (neg b)))) a)))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (log (+ (exp (neg a)) (exp (neg b)))))) |
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a)))) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (exp (* -1 a)))) |
#s(approx (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (* -1 (* a (+ 1 (/ b a)))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg b)) (exp (* -1 a))))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a)))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (log (+ (exp (neg b)) (exp (* -1 a))))) a)) 1))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (log (+ (exp (neg b)) (exp (* -1 a)))))) |
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -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 (+ (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 (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (- (* -1 b) a))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (exp (neg a))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* -1 b))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* 1/2 b) 1)))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* b (+ 1/2 (* -1/6 b))) 1)))))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (- (* -1 b) a))) |
#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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (log (+ 1 (exp (neg a))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- 1 (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))))) (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (log (+ 1 (exp (neg a)))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* -1 (/ b (+ 1 (exp (neg a)))))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* b (- (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))) (/ 1 (+ 1 (exp (neg a))))))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* b (- (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a))))))))) |
#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 (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (* b (- (* -1 (/ a b)) 1)))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1)))) |
#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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* b (+ 1 (+ (/ a b) (/ (log (+ (exp (neg a)) (exp (neg b)))) 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 (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (* -1 (* b (+ 1 (/ a b)))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg a)) (exp (* -1 b))))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b)))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (log (+ (exp (neg a)) (exp (* -1 b))))) b)) 1))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (log (+ (exp (neg a)) (exp (* -1 b)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 84.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (- (exp a) -1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (* (exp (neg a)) 1) (log (exp (+ (neg a) (neg b)))) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (+ (* (+ (* 1/2 b) 1) b) 1) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (exp (neg a))) |
| 39.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (- (exp a) -1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (* (exp (neg a)) 1) (log (exp (+ (neg a) (neg b)))) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (+ (* (+ (* 1/2 b) 1) b) 1) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (exp (neg a))) |
| 39.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (- (exp a) -1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (* (exp (neg a)) 1) (log (exp (+ (neg a) (neg b)))) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (+ (* (+ (* 1/2 b) 1) b) 1) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (exp (neg a))) |
| 26.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (- (exp a) -1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (* (exp (neg a)) 1) (log (exp (+ (neg a) (neg b)))) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (+ (* (+ (* 1/2 b) 1) b) 1) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (exp (neg a))) |
| 18.0ms | a | @ | 0 | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (- (exp a) -1)) (- (exp a) -1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (* (exp (neg a)) 1) (log (exp (+ (neg a) (neg b)))) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (+ (* (+ (* 1/2 b) 1) b) 1) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (exp (neg a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 486 | 2504 |
| 1 | 1223 | 2474 |
| 2 | 4188 | 2453 |
| 0 | 8075 | 2242 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 (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) #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 (+ (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 (neg a)) 1) #s(hole binary64 1)) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (+ 1 (* -1 a)))) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1))))) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1))))) |
#s(approx (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (* -1 b))) |
#s(approx (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (- (* -1 a) b))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (exp (neg b))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* -1 a))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* 1/2 a) 1)))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 b))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (- (* -1 a) b))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (log (+ 1 (exp (neg b))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- 1 (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* 1/2 (* a (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2)))))) (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* a (+ (* 1/6 (* a (- (* 3 (/ 1 (pow (+ 1 (exp (neg b))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg b))) 3))) (/ 1 (+ 1 (exp (neg b)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2))))))) (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (log (+ 1 (exp (neg b)))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* -1 (/ a (+ 1 (exp (neg b)))))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* a (- (* 1/2 (* a (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2))))) (/ 1 (+ 1 (exp (neg b))))))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* a (- (* a (+ (* 1/6 (* a (- (* 3 (/ 1 (pow (+ 1 (exp (neg b))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg b))) 3))) (/ 1 (+ 1 (exp (neg b)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2)))))) (/ 1 (+ 1 (exp (neg b))))))))) |
#s(approx (exp (neg a)) #s(hole binary64 1)) |
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* -1 a)))) |
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1))))) |
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1))))) |
#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 (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (exp (neg a)))) |
#s(approx (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (* -1 a))) |
#s(approx (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (* a (- (* -1 (/ b a)) 1)))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg a)) (exp (neg b))))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 a))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 a)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* a (+ 1 (+ (/ b a) (/ (log (+ (exp (neg a)) (exp (neg b)))) a)))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (log (+ (exp (neg a)) (exp (neg b)))))) |
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a)))) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (exp (* -1 a)))) |
#s(approx (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (* -1 (* a (+ 1 (/ b a)))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg b)) (exp (* -1 a))))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a)))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (log (+ (exp (neg b)) (exp (* -1 a))))) a)) 1))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (log (+ (exp (neg b)) (exp (* -1 a)))))) |
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -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 (+ (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 (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (- (* -1 b) a))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (exp (neg a))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* -1 b))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* 1/2 b) 1)))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* b (+ 1/2 (* -1/6 b))) 1)))))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (- (* -1 b) a))) |
#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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (log (+ 1 (exp (neg a))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- 1 (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))))) (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (log (+ 1 (exp (neg a)))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* -1 (/ b (+ 1 (exp (neg a)))))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* b (- (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))) (/ 1 (+ 1 (exp (neg a))))))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* b (- (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a))))))))) |
#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 (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (* b (- (* -1 (/ a b)) 1)))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1)))) |
#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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* b (+ 1 (+ (/ a b) (/ (log (+ (exp (neg a)) (exp (neg b)))) 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 (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (* -1 (* b (+ 1 (/ a b)))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg a)) (exp (* -1 b))))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b)))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (log (+ (exp (neg a)) (exp (* -1 b))))) b)) 1))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (log (+ (exp (neg a)) (exp (* -1 b)))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 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))) (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 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))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 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 (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 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)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
#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)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) 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)))) #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)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) 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)))) #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)) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 0 binary64)) a #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (* 1/2 b))) |
#s(approx (/ b (- (exp a) -1)) (*.f64 #s(literal 1/2 binary64) b)) |
#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (+ (* -1/4 (* a b)) (* 1/2 b)))) |
#s(approx (/ b (- (exp a) -1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))) |
#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)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b (*.f64 #s(literal 0 binary64) a)) a (*.f64 #s(literal 1/2 binary64) 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 (/ b (- (exp a) -1)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 0 binary64)) a #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(hole binary64 2)) |
#s(approx (- (exp a) -1) #s(literal 2 binary64)) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 a))) |
#s(approx (- (exp a) -1) (-.f64 a #s(literal -2 binary64))) |
#s(approx (- (exp a) -1) #s(hole binary64 (+ 2 (* a (+ 1 (* 1/2 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) #s(hole binary64 (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#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 (log (+ 1 (exp a))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#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))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#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))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#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) #s(hole binary64 1)) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 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) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#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 (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#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 #s(literal 1 binary64) (exp.f64 b)))) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 1)) |
#s(approx (exp (neg a)) #s(literal 1 binary64)) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (+ 1 (* -1 a)))) |
#s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1))))) |
#s(approx (exp (neg a)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a #s(literal 1 binary64))) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1))))) |
#s(approx (exp (neg 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 (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (* -1 b))) |
#s(approx (log (exp (+ (neg a) (neg b)))) (neg.f64 b)) |
#s(approx (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (- (* -1 a) b))) |
#s(approx (log (exp (+ (neg a) (neg b)))) (-.f64 (neg.f64 b) a)) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (exp (neg b))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* -1 a))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (-.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) a)) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* 1/2 a) 1)))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal -1 binary64)) a (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg 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 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 b))) |
#s(approx (log (exp (+ (neg a) (neg b)))) (neg.f64 b)) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (- (* -1 a) b))) |
#s(approx (log (exp (+ (neg a) (neg b)))) (-.f64 (neg.f64 b) a)) |
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#s(approx (exp (neg a)) (exp.f64 (neg.f64 a))) |
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#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) b (+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) a))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))))) (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) (*.f64 #s(literal 1/6 binary64) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) b (+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) a))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (log (+ 1 (exp (neg a)))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log1p.f64 (exp.f64 (neg.f64 a)))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* -1 (/ b (+ 1 (exp (neg a)))))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 a))) (/.f64 b (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* b (- (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))) (/ 1 (+ 1 (exp (neg a))))))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 (neg.f64 a))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* b (- (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a))))))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) (*.f64 #s(literal 1/6 binary64) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 (neg.f64 a))))) |
#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)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 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)))) (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (exp b) (exp.f64 b)) |
#s(approx (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (* b (- (* -1 (/ a b)) 1)))) |
#s(approx (log (exp (+ (neg a) (neg b)))) (neg.f64 (fma.f64 (/.f64 a b) b b))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1)))) |
#s(approx (log (exp (+ (neg a) (neg b)))) (neg.f64 (fma.f64 (/.f64 a b) b 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) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) |
#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) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1/2 binary64)) b) 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) b) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) b) #s(literal 1/2 binary64)) (*.f64 b b))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* b (+ 1 (+ (/ a b) (/ (log (+ (exp (neg a)) (exp (neg b)))) b)))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) a) b) b 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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 b))) |
#s(approx (log (exp (+ (neg a) (neg b)))) #s(hole binary64 (* -1 (* b (+ 1 (/ a b)))))) |
#s(approx (log (exp (+ (neg a) (neg b)))) (neg.f64 (fma.f64 (/.f64 a b) b b))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) #s(hole binary64 (+ (exp (neg a)) (exp (* -1 b))))) |
#s(approx (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b)))))) |
#s(approx (log (exp (+ (neg a) (neg b)))) (neg.f64 (fma.f64 (/.f64 a b) b b))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (log (+ (exp (neg a)) (exp (* -1 b))))) b)) 1))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) a) (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 b))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) #s(hole binary64 (log (+ (exp (neg a)) (exp (* -1 b)))))) |
#s(approx (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 177 |
| 0 | 64 | 159 |
| 1 | 238 | 159 |
| 0 | 1914 | 159 |
| 1× | iter limit |
| 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))) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) |
#s(approx (exp 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))))) |
(+.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)))) |
#s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) |
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) |
(log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) |
(+.f64 (neg.f64 a) (neg.f64 b)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(-.f64 (log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) |
(log.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) |
(exp.f64 (neg.f64 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 2 binary64)) (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 (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)))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64))))) |
(/.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 (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 (+.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))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (pow.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 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)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (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 3 binary64)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (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 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) |
(*.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (+.f64 #s(literal -1 binary64) (exp.f64 a))) |
(*.f64 (/.f64 b (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 b) (neg.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 b) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 b (neg.f64 (-.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 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)) |
(/.f64 (expm1.f64 (+.f64 a a)) (+.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 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 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) (exp.f64 a)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #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)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(+.f64 (cosh.f64 a) (-.f64 (sinh.f64 a) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
(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 (exp.f64 a) (expm1.f64 a)))) |
(log.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (exp.f64 a)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 a))) |
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(exp.f64 (+.f64 #s(literal 0 binary64) a)) |
(exp.f64 a) |
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(+.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)))) |
#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 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)) |
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(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) |
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(pow.f64 (exp.f64 a) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (exp.f64 a)) |
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(-.f64 (cosh.f64 a) (sinh.f64 a)) |
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(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 a))) |
(exp.f64 (neg.f64 a)) |
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(neg.f64 (+.f64 b a)) |
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(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 b)) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 b)) (exp.f64 (neg.f64 a))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 b))) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 b))) (exp.f64 (neg.f64 a))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)) (exp.f64 (neg.f64 b))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 b)) (cosh.f64 a)) (sinh.f64 a)) |
(-.f64 (+.f64 (exp.f64 (neg.f64 a)) (cosh.f64 b)) (sinh.f64 b)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))) |
(-.f64 (cosh.f64 a) (-.f64 (sinh.f64 a) (exp.f64 (neg.f64 b)))) |
(-.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) (/.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(-.f64 (cosh.f64 b) (-.f64 (sinh.f64 b) (exp.f64 (neg.f64 a)))) |
(-.f64 (exp.f64 (neg.f64 b)) (/.f64 #s(literal -1 binary64) (exp.f64 a))) |
(-.f64 (exp.f64 (neg.f64 a)) (*.f64 (neg.f64 (exp.f64 (neg.f64 b))) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (neg.f64 a)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 b)))) |
(+.f64 (+.f64 (exp.f64 (neg.f64 b)) (cosh.f64 a)) (sinh.f64 (neg.f64 a))) |
(+.f64 (+.f64 (exp.f64 (neg.f64 a)) (cosh.f64 b)) (sinh.f64 (neg.f64 b))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))) (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))) (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64))))) |
(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) |
(+.f64 (cosh.f64 b) (-.f64 (sinh.f64 (neg.f64 b)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(+.f64 (cosh.f64 b) (+.f64 (sinh.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) |
(+.f64 (exp.f64 (neg.f64 b)) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))) |
(+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 (neg.f64 b) (neg.f64 a))) |
(/.f64 (neg.f64 (fma.f64 a a (*.f64 b (neg.f64 b)))) (neg.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b)))))) |
(/.f64 (fma.f64 a a (*.f64 b (neg.f64 b))) (-.f64 (neg.f64 a) (neg.f64 b))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 a))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b))))) |
(neg.f64 (+.f64 b a)) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 (neg.f64 a) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (neg.f64 a) (neg.f64 b)))) |
(+.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b))))) (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b)))))) |
(+.f64 (log.f64 (exp.f64 (neg.f64 a))) (log.f64 (exp.f64 (neg.f64 b)))) |
(+.f64 (neg.f64 b) (neg.f64 a)) |
(+.f64 (neg.f64 a) (neg.f64 b)) |
(log.f64 (exp.f64 (neg.f64 (+.f64 b a)))) |
(/.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 (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 (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 (*.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 (+.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 (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)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal -1 binary64))) |
(/.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 #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 (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 (+.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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (*.f64 b #s(literal 1 binary64)) #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 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 1 binary64)) |
(fma.f64 b (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) #s(literal 1 binary64)) #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 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.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 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))) b)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b) #s(literal 3 binary64)) (-.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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b))) (/.f64 #s(literal 1 binary64) (-.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 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b)))) |
(+.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 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (+.f64 b a)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (neg.f64 (+.f64 b a)) (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) (pow.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (+.f64 b a)) #s(literal 2 binary64))) (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (+.f64 b a)) (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) (pow.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) #s(literal 2 binary64)))) |
(-.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 b)) (neg.f64 a)) |
(-.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 a)) (neg.f64 b)) |
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) #s(literal 2 binary64)) (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a)))) (/.f64 (pow.f64 (neg.f64 (+.f64 b a)) #s(literal 2 binary64)) (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) #s(literal 3 binary64)) (fma.f64 (neg.f64 (+.f64 b a)) (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) (pow.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64))) (fma.f64 (neg.f64 (+.f64 b a)) (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) (pow.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) #s(literal 2 binary64))))) |
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) |
(log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))) (exp.f64 (neg.f64 (+.f64 b a))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))) (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 2 binary64))))) |
(log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a))) |
(pow.f64 (exp.f64 a) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 a) (sinh.f64 a))) (exp.f64 a)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 a) (cosh.f64 a)) (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 (neg.f64 a)))) (-.f64 (cosh.f64 a) (sinh.f64 (neg.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) (fma.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 (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (*.f64 (sinh.f64 (neg.f64 a)) (sinh.f64 (neg.f64 a))) (*.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a)))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a))) |
(fma.f64 (cosh.f64 a) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 a)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 a) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 a)))) |
(-.f64 (cosh.f64 a) (sinh.f64 a)) |
(exp.f64 (-.f64 #s(literal 0 binary64) a)) |
(exp.f64 (+.f64 (neg.f64 a) #s(literal 0 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 a))) |
(exp.f64 (neg.f64 a)) |
(+.f64 (*.f64 (cosh.f64 a) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 a)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 a)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 a)))) |
(+.f64 (cosh.f64 a) (sinh.f64 (neg.f64 a))) |
(+.f64 (sinh.f64 (neg.f64 a)) (cosh.f64 a)) |
Compiled 9 346 to 1 483 computations (84.1% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 361 | 10 | 371 |
| Fresh | 3 | 1 | 4 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 0 | 1 |
| Total | 370 | 11 | 381 |
| Status | Accuracy | Program |
|---|---|---|
| 55.4% | (-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| 55.0% | (log.f64 (+.f64 #s(approx (exp 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))))) | |
| ▶ | 54.8% | (log.f64 (+.f64 #s(approx (exp 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))))) |
| ▶ | 56.6% | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
| ▶ | 48.6% | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
| 55.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) | |
| 53.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))) | |
| ▶ | 52.0% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
| 53.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) | |
| ▶ | 54.6% | #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))))) |
| 53.1% | #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 422 to 312 computations (26.1% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (exp a) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 #s(approx (exp 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)))) | |
| cost-diff | 0 | (log.f64 (+.f64 #s(approx (exp 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))))) | |
| cost-diff | 0 | (log.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | #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))))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) a) | |
| cost-diff | 0 | #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) | |
| cost-diff | 0 | (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| cost-diff | 0 | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) | |
| cost-diff | 0 | (exp.f64 (neg.f64 b)) | |
| cost-diff | 0 | (log1p.f64 (exp.f64 (neg.f64 b))) | |
| cost-diff | 0 | (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b) | |
| cost-diff | 0 | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 210 |
| 0 | 63 | 196 |
| 1 | 111 | 196 |
| 2 | 280 | 196 |
| 3 | 1339 | 196 |
| 4 | 7715 | 196 |
| 0 | 8051 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
(+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b) |
(log1p.f64 (exp.f64 (neg.f64 b))) |
(exp.f64 (neg.f64 b)) |
(neg.f64 b) |
b |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
b |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
#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) |
b |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log.f64 (+.f64 #s(approx (exp 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) #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) #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(literal 1/2 binary64) |
b |
| Outputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
(+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b) |
(log1p.f64 (exp.f64 (neg.f64 b))) |
(exp.f64 (neg.f64 b)) |
(neg.f64 b) |
b |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
b |
#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))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))) |
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))) |
(log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
#s(approx (exp a) (-.f64 a #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) a) |
(-.f64 a #s(literal -1 binary64)) |
#s(literal 1 binary64) |
a |
#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) |
b |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log.f64 (+.f64 #s(approx (exp 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) #s(literal 1 binary64)))) |
(+.f64 #s(approx (exp 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) #s(literal 1 binary64))) |
#s(approx (exp 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(literal 1/2 binary64) |
b |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (+.f64 #s(approx (exp 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)))) | |
| accuracy | 0.7813324166544336 | #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) | |
| accuracy | 0.9908220402526772 | (log.f64 (+.f64 #s(approx (exp 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))))) | |
| accuracy | 1.099743507152716 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (log.f64 #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) | |
| accuracy | 0.9642977432428482 | #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))))) | |
| accuracy | 1.0639723260022196 | #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) a) | |
| accuracy | 0.0 | (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))) | |
| accuracy | 0.8525214901419954 | #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) | |
| accuracy | 2.3275551328428286 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| accuracy | 32.88228786679925 | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) | |
| accuracy | 0.0 | (exp.f64 (neg.f64 b)) | |
| accuracy | 0.0078125 | (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b) | |
| accuracy | 0.0078125 | (log1p.f64 (exp.f64 (neg.f64 b))) | |
| accuracy | 1.0639723260022196 | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
| 216.0ms | 113× | 5 | exit |
| 44.0ms | 140× | 0 | valid |
| 2.0ms | 3× | 1 | valid |
Compiled 142 to 35 computations (75.4% saved)
adjust: 76.0ms (35.1% of total)ival-log: 62.0ms (28.6% of total)ival-log1p: 21.0ms (9.7% of total)ival-exp: 20.0ms (9.2% of total)ival-add: 15.0ms (6.9% of total)ival-mult: 12.0ms (5.5% of total)ival-sub: 5.0ms (2.3% of total)ival-div: 2.0ms (0.9% of total)ival-neg: 2.0ms (0.9% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
(+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b) |
(log1p.f64 (exp.f64 (neg.f64 b))) |
(exp.f64 (neg.f64 b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
#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))) |
(log.f64 #s(literal 2 binary64)) |
(log.f64 (+.f64 #s(approx (exp 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) #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) #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))) |
| Outputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (log (+ 1 (exp (neg b))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- 1 (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* 1/2 (* a (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2)))))) (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* a (+ (* 1/6 (* a (- (* 3 (/ 1 (pow (+ 1 (exp (neg b))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg b))) 3))) (/ 1 (+ 1 (exp (neg b)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2))))))) (/ 1 (+ 1 (exp (neg 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 (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) #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 (+ 1 a) #s(hole binary64 1)) |
#s(approx (+ 1 a) #s(hole binary64 (+ 1 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 (+ (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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 a)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* a (+ 1 (+ (/ b a) (/ (log (+ (exp (neg a)) (exp (neg b)))) a)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (+ 1 a) #s(hole binary64 a)) |
#s(approx (+ 1 a) #s(hole binary64 (* a (+ 1 (/ 1 a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (log (+ (exp (neg b)) (exp (* -1 a))))) a)) 1))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (log (+ 1 (exp (neg a))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- 1 (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))))) (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (log 2))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (+ (log 2) (* -1/2 b)))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (+ (log 2) (* b (- (* 1/8 b) 1/2))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (+ (log 2) (* b (- (* b (+ 1/8 (* -1/192 (pow b 2)))) 1/2))))) |
#s(approx (exp (neg b)) #s(hole binary64 1)) |
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* -1 b)))) |
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* 1/2 b) 1))))) |
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* b (+ 1/2 (* -1/6 b))) 1))))) |
#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 (+ (* 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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* b (+ 1 (+ (/ a b) (/ (log (+ (exp (neg a)) (exp (neg b)))) b)))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 b)) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (* b (+ 1 (/ (log (+ 1 (exp (neg b)))) b))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log (+ 1 (exp (neg b)))))) |
#s(approx (exp (neg b)) #s(hole binary64 (exp (neg 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 (+ (* 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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (log (+ (exp (neg a)) (exp (* -1 b))))) b)) 1))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp (* -1 b)))) b)) 1))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log (+ 1 (exp (* -1 b)))))) |
#s(approx (exp (neg b)) #s(hole binary64 (exp (* -1 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 | |
|---|---|---|---|---|
| 33.0ms | a | @ | inf | ((- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (log (+ 1 (exp (neg b)))) (exp (neg b)) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 30.0ms | b | @ | inf | ((- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (log (+ 1 (exp (neg b)))) (exp (neg b)) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 24.0ms | b | @ | -inf | ((- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (log (+ 1 (exp (neg b)))) (exp (neg b)) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 20.0ms | a | @ | -inf | ((- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (log (+ 1 (exp (neg b)))) (exp (neg b)) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 6.0ms | b | @ | 0 | ((- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (log (+ 1 (exp (neg b)))) (exp (neg b)) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ 1 a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 408 | 1749 |
| 1 | 1083 | 1735 |
| 2 | 3720 | 1717 |
| 0 | 8086 | 1526 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (log (+ 1 (exp (neg b))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- 1 (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* 1/2 (* a (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2)))))) (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* a (+ (* 1/6 (* a (- (* 3 (/ 1 (pow (+ 1 (exp (neg b))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg b))) 3))) (/ 1 (+ 1 (exp (neg b)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2))))))) (/ 1 (+ 1 (exp (neg 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 (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) #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 (+ 1 a) #s(hole binary64 1)) |
#s(approx (+ 1 a) #s(hole binary64 (+ 1 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 (+ (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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 a)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* a (+ 1 (+ (/ b a) (/ (log (+ (exp (neg a)) (exp (neg b)))) a)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (+ 1 a) #s(hole binary64 a)) |
#s(approx (+ 1 a) #s(hole binary64 (* a (+ 1 (/ 1 a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (log (+ (exp (neg b)) (exp (* -1 a))))) a)) 1))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (log (+ 1 (exp (neg a))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- 1 (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))))) (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (log 2))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (+ (log 2) (* -1/2 b)))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (+ (log 2) (* b (- (* 1/8 b) 1/2))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (+ (log 2) (* b (- (* b (+ 1/8 (* -1/192 (pow b 2)))) 1/2))))) |
#s(approx (exp (neg b)) #s(hole binary64 1)) |
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* -1 b)))) |
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* 1/2 b) 1))))) |
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* b (+ 1/2 (* -1/6 b))) 1))))) |
#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 (+ (* 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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* b (+ 1 (+ (/ a b) (/ (log (+ (exp (neg a)) (exp (neg b)))) b)))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 b)) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (* b (+ 1 (/ (log (+ 1 (exp (neg b)))) b))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log (+ 1 (exp (neg b)))))) |
#s(approx (exp (neg b)) #s(hole binary64 (exp (neg 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 (+ (* 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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (log (+ (exp (neg a)) (exp (* -1 b))))) b)) 1))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp (* -1 b)))) b)) 1))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log (+ 1 (exp (* -1 b)))))) |
#s(approx (exp (neg b)) #s(hole binary64 (exp (* -1 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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (log (+ 1 (exp (neg b))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- 1 (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64)))) a (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* 1/2 (* a (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2)))))) (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64))))) a (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* a (+ (* 1/6 (* a (- (* 3 (/ 1 (pow (+ 1 (exp (neg b))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg b))) 3))) (/ 1 (+ 1 (exp (neg b)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2))))))) (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (-.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (-.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64))))) a (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 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))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 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))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (log1p.f64 (exp.f64 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 (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) a (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) #s(literal -1 binary64)))) a (log1p.f64 (exp.f64 b)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#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))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#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))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#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) #s(hole binary64 1)) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (exp a) #s(hole binary64 (+ 1 a))) |
#s(approx (exp a) (-.f64 a #s(literal -1 binary64))) |
#s(approx (exp a) #s(hole binary64 (+ 1 (* a (+ 1 (* 1/2 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) #s(hole binary64 (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))) |
#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 (+ 1 a) #s(hole binary64 1)) |
#s(approx (+ 1 a) #s(literal 1 binary64)) |
#s(approx (+ 1 a) #s(hole binary64 (+ 1 a))) |
#s(approx (+ 1 a) (-.f64 a #s(literal -1 binary64))) |
#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)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
#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)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64)) 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)))) #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)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))) 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)))) #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)) (log (+ 1 (exp a)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 0 binary64)) a #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 b) a) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))) |
#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)) #s(hole binary64 (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))))) |
#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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 a)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) a) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* a (+ 1 (+ (/ b a) (/ (log (+ (exp (neg a)) (exp (neg b)))) a)))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) b) #s(literal 1 binary64)) #s(literal 1 binary64) a)) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a))) |
#s(approx (exp a) #s(hole binary64 (exp a))) |
#s(approx (exp a) (exp.f64 a)) |
#s(approx (+ 1 a) #s(hole binary64 a)) |
#s(approx (+ 1 a) a) |
#s(approx (+ 1 a) #s(hole binary64 (* a (+ 1 (/ 1 a))))) |
#s(approx (+ 1 a) (-.f64 a #s(literal -1 binary64))) |
#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)) (log (+ 1 (exp a)))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (log (+ (exp (neg b)) (exp (* -1 a))))) a)) 1))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (*.f64 (fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) b) a) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (log (+ 1 (exp (neg a))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) a)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- 1 (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))) b (+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) a))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))) b (+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) a))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))))) (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (-.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 a)) #s(literal -1 binary64))))) b (+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) a))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (log 2))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) 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 (neg b)))) b) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) 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 (log (+ 1 (exp (neg b)))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp (neg b)))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (+ (log 2) (* -1/2 b)))) |
#s(approx (log (+ 1 (exp (neg b)))) (fma.f64 #s(literal -1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (+ (log 2) (* b (- (* 1/8 b) 1/2))))) |
#s(approx (log (+ 1 (exp (neg b)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (+ (log 2) (* b (- (* b (+ 1/8 (* -1/192 (pow b 2)))) 1/2))))) |
#s(approx (log (+ 1 (exp (neg b)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b) #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (exp (neg b)) #s(hole binary64 1)) |
#s(approx (exp (neg b)) #s(literal 1 binary64)) |
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* -1 b)))) |
#s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)) |
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* 1/2 b) 1))))) |
#s(approx (exp (neg b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b #s(literal 1 binary64))) |
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* b (+ 1/2 (* -1/6 b))) 1))))) |
#s(approx (exp (neg 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(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 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))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 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))) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b (log1p.f64 (exp.f64 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 (log (+ (exp a) (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 a) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (log1p.f64 (exp.f64 a))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* 1/2 b) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#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)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (+ (exp a) (exp b)) (-.f64 (+.f64 (exp.f64 a) b) #s(literal -1 binary64))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))))) |
#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)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#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(hole binary64 1)) |
#s(approx (exp b) #s(literal 1 binary64)) |
#s(approx (exp b) #s(hole binary64 (+ 1 b))) |
#s(approx (exp b) (-.f64 b #s(literal -1 binary64))) |
#s(approx (exp b) #s(hole binary64 (+ 1 (* b (+ 1 (* 1/2 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) #s(hole binary64 (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) |
#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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* b (+ 1 (+ (/ a b) (/ (log (+ (exp (neg a)) (exp (neg b)))) b)))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) a) b) b b)) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 b)) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) b) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (* b (+ 1 (/ (log (+ 1 (exp (neg b)))) b))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (/.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b) b b)) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log (+ 1 (exp (neg b)))))) |
#s(approx (log (+ 1 (exp (neg b)))) (log1p.f64 (exp.f64 (neg.f64 b)))) |
#s(approx (exp (neg b)) #s(hole binary64 (exp (neg b)))) |
#s(approx (exp (neg b)) (exp.f64 (neg.f64 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)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
#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)))) (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) 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) #s(hole binary64 (exp b))) |
#s(approx (exp b) (exp.f64 b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (log (+ (exp (neg a)) (exp (* -1 b))))) b)) 1))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (*.f64 (fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) a) b) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 b))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp (* -1 b)))) b)) 1))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) (*.f64 (fma.f64 (/.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 b))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log (+ 1 (exp (* -1 b)))))) |
#s(approx (log (+ 1 (exp (neg b)))) (log1p.f64 (exp.f64 (neg.f64 b)))) |
#s(approx (exp (neg b)) #s(hole binary64 (exp (* -1 b)))) |
#s(approx (exp (neg b)) (exp.f64 (neg.f64 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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (neg.f64 b))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))))) |
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 b)) #s(literal 1/2 binary64)) (neg.f64 b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 187 |
| 0 | 63 | 173 |
| 1 | 288 | 173 |
| 0 | 2373 | 169 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
(+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b) |
(log1p.f64 (exp.f64 (neg.f64 b))) |
(exp.f64 (neg.f64 b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 #s(literal 1 binary64) a) |
#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))) |
(log.f64 #s(literal 2 binary64)) |
(log.f64 (+.f64 #s(approx (exp 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) #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) #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))) |
| Outputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 b))) #s(literal 2 binary64))) (-.f64 b (log1p.f64 (exp.f64 (neg.f64 b))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 b))) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 b))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b (log1p.f64 (exp.f64 (neg.f64 b)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 b))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 b))) #s(literal 2 binary64)) (*.f64 b b)) (-.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 b))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 b))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 b))) #s(literal 3 binary64))) (fma.f64 b (-.f64 b (log1p.f64 (exp.f64 (neg.f64 b)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 b))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 b))) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) (/.f64 (*.f64 b b) (-.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))) |
(+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 (neg.f64 b))) #s(literal 3 binary64)) (fma.f64 b (-.f64 b (log1p.f64 (exp.f64 (neg.f64 b)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 b))) #s(literal 2 binary64)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (log1p.f64 (exp.f64 (neg.f64 b)))) (pow.f64 (log1p.f64 (exp.f64 (neg.f64 b))) #s(literal 2 binary64))))) |
(+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b) |
(+.f64 b (log1p.f64 (exp.f64 (neg.f64 b)))) |
(log1p.f64 (exp.f64 (neg.f64 b))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 b) #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))) |
(-.f64 (log1p.f64 (exp.f64 (*.f64 (neg.f64 b) #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 (neg.f64 b)) (expm1.f64 (neg.f64 b))))) |
(log.f64 (-.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 b))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 b)))) |
(*.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))) |
(pow.f64 (exp.f64 b) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 (neg.f64 b)) (sinh.f64 (neg.f64 b)))) (-.f64 (cosh.f64 b) (sinh.f64 (neg.f64 b)))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (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) (fma.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 (neg.f64 b)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 b) (cosh.f64 b) (-.f64 (*.f64 (sinh.f64 (neg.f64 b)) (sinh.f64 (neg.f64 b))) (*.f64 (cosh.f64 b) (sinh.f64 (neg.f64 b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b))) |
(/.f64 #s(literal 1 binary64) (exp.f64 b)) |
(fma.f64 (cosh.f64 b) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 b)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 b) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 b)))) |
(-.f64 (cosh.f64 b) (sinh.f64 b)) |
(exp.f64 (-.f64 #s(literal 0 binary64) b)) |
(exp.f64 (+.f64 (neg.f64 b) #s(literal 0 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 b))) |
(exp.f64 (neg.f64 b)) |
(+.f64 (*.f64 (cosh.f64 b) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 b)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 b)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 b)))) |
(+.f64 (sinh.f64 (neg.f64 b)) (cosh.f64 b)) |
(+.f64 (cosh.f64 b) (sinh.f64 (neg.f64 b))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))))) |
(log1p.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))) |
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal 2 binary64)) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))))) |
(log.f64 (-.f64 #s(approx (exp a) (-.f64 a #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #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(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp a) (-.f64 a #s(literal -1 binary64)))) |
#s(approx (exp a) (-.f64 a #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 a a) #s(literal 1 binary64)) (-.f64 a #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a))) (neg.f64 (-.f64 #s(literal 1 binary64) a))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal 1 binary64) a)) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 a a (-.f64 #s(literal 1 binary64) a))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))) |
(-.f64 a #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 a #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) a) |
#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 (-.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 (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 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (log.f64 #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 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.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 (fma.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1 binary64)) (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))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) |
(-.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 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 b) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b)))))) |
(+.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)) |
(log.f64 #s(literal 2 binary64)) |
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (exp 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) #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 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) #s(literal 1 binary64)) #s(literal 3 binary64)))) (log.f64 (fma.f64 #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) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 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) #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 2 binary64)) (pow.f64 #s(approx (exp 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) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp 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) #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 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) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #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) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp 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) #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 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) #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) #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) #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) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #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) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (exp 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) #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) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #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) #s(literal 1 binary64))) (pow.f64 #s(approx (exp 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 3 binary64)) (fma.f64 #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) #s(literal 1 binary64))) (pow.f64 #s(approx (exp 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) #s(literal 1 binary64))) |
(+.f64 #s(approx (exp 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) #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))) |
Compiled 5 274 to 779 computations (85.2% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 164 | 6 | 170 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 167 | 14 | 181 |
| Status | Accuracy | Program |
|---|---|---|
| 55.4% | (-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| ✓ | 54.8% | (log.f64 (+.f64 #s(approx (exp 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))))) |
| ▶ | 54.5% | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) |
| ▶ | 54.4% | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b)) |
| 55.2% | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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))))) | |
| ▶ | 55.1% | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
| 53.4% | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (log.f64 #s(literal 2 binary64)))) | |
| ✓ | 48.6% | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
| ▶ | 55.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
| 53.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))) | |
| ✓ | 52.0% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
| ✓ | 54.6% | #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))))) |
| ▶ | 11.4% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
| 53.1% | #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 635 to 448 computations (29.4% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)) | |
| cost-diff | 0 | (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) | |
| cost-diff | 0 | (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b) | |
| cost-diff | 0 | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) | |
| cost-diff | 0 | #s(approx (exp (neg b)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b) | |
| cost-diff | 0 | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) b) | |
| cost-diff | 0 | #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) | |
| cost-diff | 0 | (exp.f64 b) | |
| cost-diff | 0 | (log1p.f64 (exp.f64 b)) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 268 |
| 0 | 70 | 247 |
| 1 | 121 | 247 |
| 2 | 295 | 247 |
| 3 | 1335 | 247 |
| 4 | 7522 | 247 |
| 0 | 8019 | 236 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
b |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b)) |
(+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b) |
(log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) |
#s(approx (exp (neg b)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
b |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) |
(+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b) |
(log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) |
#s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)) |
(-.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
b |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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 (neg b)))) b) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
b |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
b |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b)) |
(+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b) |
(log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) |
#s(approx (exp (neg b)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
b |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) |
(+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b) |
(log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) |
#s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)) |
(-.f64 #s(literal 1 binary64) b) |
#s(literal 1 binary64) |
b |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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 (neg b)))) b) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
b |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (log.f64 #s(literal 2 binary64)) | |
| accuracy | 0.015625 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))) | |
| accuracy | 0.5444252095255256 | #s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) | |
| accuracy | 1.0639723260022196 | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) | |
| accuracy | 0.0078125 | (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b) | |
| accuracy | 0.0078125 | (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) | |
| accuracy | 1.0639723260022196 | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) | |
| accuracy | 1.099603879431069 | #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)) | |
| accuracy | 0.0078125 | (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b) | |
| accuracy | 0.0078125 | (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) | |
| accuracy | 1.0639723260022196 | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b)) | |
| accuracy | 1.6783188247868648 | #s(approx (exp (neg b)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) b) | |
| accuracy | 0.9642977432428482 | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) | |
| accuracy | 1.0639723260022196 | #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) | |
| accuracy | 33.714187024417285 | #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) | |
| accuracy | 0.0 | (exp.f64 b) | |
| accuracy | 0.26546163554733604 | (log1p.f64 (exp.f64 b)) | |
| accuracy | 1.0639723260022196 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
| 340.0ms | 113× | 5 | exit |
| 40.0ms | 140× | 0 | valid |
| 2.0ms | 3× | 1 | valid |
Compiled 175 to 38 computations (78.3% saved)
ival-log: 169.0ms (49.5% of total)adjust: 75.0ms (21.9% of total)ival-exp: 28.0ms (8.2% of total)ival-log1p: 26.0ms (7.6% of total)ival-add: 15.0ms (4.4% of total)ival-sub: 13.0ms (3.8% of total)ival-mult: 11.0ms (3.2% of total)ival-div: 2.0ms (0.6% of total)ival-neg: 2.0ms (0.6% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#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(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b)) |
(+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b) |
(log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) |
#s(approx (exp (neg b)) #s(literal 1 binary64)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) |
(+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b) |
(log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) |
#s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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 (neg b)))) b) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) |
(log.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (log (+ 1 (exp (neg b))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- 1 (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* 1/2 (* a (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2)))))) (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* a (+ (* 1/6 (* a (- (* 3 (/ 1 (pow (+ 1 (exp (neg b))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg b))) 3))) (/ 1 (+ 1 (exp (neg b)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2))))))) (/ 1 (+ 1 (exp (neg b)))))))))) |
#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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 a)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* a (+ 1 (+ (/ b a) (/ (log (+ (exp (neg a)) (exp (neg b)))) a)))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (log (+ (exp (neg b)) (exp (* -1 a))))) a)) 1))))) |
#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 (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 (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 (log (+ 1 (exp a))))) |
#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 (* 1/2 b) #s(hole binary64 (* 1/2 b))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (log (+ 1 (exp (neg a))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- 1 (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))))) (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (log 2))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (+ (log 2) (* -1/2 b)))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (+ (log 2) (* b (- (* 1/8 b) 1/2))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (+ (log 2) (* b (- (* b (+ 1/8 (* -1/192 (pow b 2)))) 1/2))))) |
#s(approx (exp (neg b)) #s(hole binary64 1)) |
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* -1 b)))) |
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* 1/2 b) 1))))) |
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* b (+ 1/2 (* -1/6 b))) 1))))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 b)))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (exp b) #s(hole binary64 (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 (+ (* 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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* b (+ 1 (+ (/ a b) (/ (log (+ (exp (neg a)) (exp (neg b)))) b)))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 b)) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (* b (+ 1 (/ (log (+ 1 (exp (neg b)))) b))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log (+ 1 (exp (neg b)))))) |
#s(approx (exp (neg b)) #s(hole binary64 (exp (neg b)))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2)))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b)))))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2))))))) |
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* 1/8 b))) |
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* b (+ 1/8 (* 1/2 (/ 1 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))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (log (+ (exp (neg a)) (exp (* -1 b))))) b)) 1))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp (* -1 b)))) b)) 1))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log (+ 1 (exp (* -1 b)))))) |
#s(approx (exp (neg b)) #s(hole binary64 (exp (* -1 b)))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (log (+ 1 (exp (neg b)))) (exp (neg b)) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (log (+ 1 (exp (neg b)))) (exp (neg b)) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (log 2)) |
| 28.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (log (+ 1 (exp (neg b)))) (exp (neg b)) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (log (+ 1 (exp (neg b)))) (exp (neg b)) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (log 2)) |
| 24.0ms | b | @ | 0 | ((log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (log (+ 1 (exp (neg b)))) (exp (neg b)) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (log (+ 1 (exp (neg b)))) (exp (neg b)) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (log 2)) |
| 14.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (log (+ 1 (exp (neg b)))) (exp (neg b)) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (log (+ 1 (exp (neg b)))) (exp (neg b)) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (log 2)) |
| 14.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (log (+ 1 (exp b))) (exp b) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (log (+ 1 (exp (neg b)))) (exp (neg b)) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (log (+ 1 (exp (neg b)))) (exp (neg b)) (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+ (log (+ 1 (exp (neg b)))) b) (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (+ (* 1/8 b) 1/2) (log 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 381 | 1733 |
| 1 | 1007 | 1719 |
| 2 | 3405 | 1695 |
| 0 | 9123 | 1496 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (log (+ 1 (exp (neg b))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- 1 (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* 1/2 (* a (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2)))))) (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- (+ 1 (* a (+ (* 1/6 (* a (- (* 3 (/ 1 (pow (+ 1 (exp (neg b))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg b))) 3))) (/ 1 (+ 1 (exp (neg b)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg b)))) (/ 1 (pow (+ 1 (exp (neg b))) 2))))))) (/ 1 (+ 1 (exp (neg b)))))))))) |
#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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 a)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* a (+ 1 (+ (/ b a) (/ (log (+ (exp (neg a)) (exp (neg b)))) a)))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (log (+ (exp (neg b)) (exp (* -1 a))))) a)) 1))))) |
#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 (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 (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 (log (+ 1 (exp a))))) |
#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 (* 1/2 b) #s(hole binary64 (* 1/2 b))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (log (+ 1 (exp (neg a))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- 1 (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* 1/2 (* b (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2)))))) (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- (+ 1 (* b (+ (* 1/6 (* b (- (* 3 (/ 1 (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ 1 (pow (+ 1 (exp (neg a))) 3))) (/ 1 (+ 1 (exp (neg a)))))))) (* 1/2 (- (/ 1 (+ 1 (exp (neg a)))) (/ 1 (pow (+ 1 (exp (neg a))) 2))))))) (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (log 2))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (+ (log 2) (* -1/2 b)))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (+ (log 2) (* b (- (* 1/8 b) 1/2))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (+ (log 2) (* b (- (* b (+ 1/8 (* -1/192 (pow b 2)))) 1/2))))) |
#s(approx (exp (neg b)) #s(hole binary64 1)) |
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* -1 b)))) |
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* 1/2 b) 1))))) |
#s(approx (exp (neg b)) #s(hole binary64 (+ 1 (* b (- (* b (+ 1/2 (* -1/6 b))) 1))))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 b)))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (exp b) #s(hole binary64 (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 (+ (* 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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* b (+ 1 (+ (/ a b) (/ (log (+ (exp (neg a)) (exp (neg b)))) b)))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 b)) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (* b (+ 1 (/ (log (+ 1 (exp (neg b)))) b))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log (+ 1 (exp (neg b)))))) |
#s(approx (exp (neg b)) #s(hole binary64 (exp (neg b)))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2)))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b)))))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2))))))) |
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* 1/8 b))) |
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* b (+ 1/8 (* 1/2 (/ 1 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))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (log (+ (exp (neg a)) (exp (* -1 b))))) b)) 1))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp (* -1 b)))) b)) 1))))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log (+ 1 (exp (* -1 b)))))) |
#s(approx (exp (neg b)) #s(hole binary64 (exp (* -1 b)))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b)))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 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))) (+.f64 (/.f64 a (-.f64 (exp.f64 b) #s(literal -1 binary64))) (log1p.f64 (exp.f64 b)))) |
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#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (log (+ 1 (exp a))))) |
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#s(approx (* 1/2 b) #s(hole binary64 (* 1/2 b))) |
#s(approx (* 1/2 b) (*.f64 #s(literal 1/2 binary64) b)) |
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#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) a)) |
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#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (log 2))) |
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#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
#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)))) (fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) 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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* b (+ 1 (+ (/ a b) (/ (log (+ (exp (neg a)) (exp (neg b)))) b)))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) a) b) b b)) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 b)) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) b) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (* b (+ 1 (/ (log (+ 1 (exp (neg b)))) b))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (/.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b) b b)) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log (+ 1 (exp (neg b)))))) |
#s(approx (log (+ 1 (exp (neg b)))) (log1p.f64 (exp.f64 (neg.f64 b)))) |
#s(approx (exp (neg b)) #s(hole binary64 (exp (neg b)))) |
#s(approx (exp (neg b)) (exp.f64 (neg.f64 b))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* 1/8 (pow b 2)))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* 1/2 (/ 1 b)))))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) b) b)) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (+ (* 1/2 (/ 1 b)) (/ (log 2) (pow b 2))))))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal -1/2 binary64)) b) #s(literal 1/8 binary64)) (*.f64 b b))) |
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* 1/8 b))) |
#s(approx (+ (* 1/8 b) 1/2) (*.f64 #s(literal 1/8 binary64) b)) |
#s(approx (+ (* 1/8 b) 1/2) #s(hole binary64 (* b (+ 1/8 (* 1/2 (/ 1 b)))))) |
#s(approx (+ (* 1/8 b) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 1/8 binary64)) 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 (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 a)) (neg.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) #s(literal -1 binary64)))) (neg.f64 b))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))))) |
#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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (log (+ (exp (neg a)) (exp (* -1 b))))) b)) 1))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (*.f64 (-.f64 (/.f64 (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) a) (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 b))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp (* -1 b)))) b)) 1))))) |
#s(approx (+ (log (+ 1 (exp (neg b)))) b) (*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 (neg.f64 b))) (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 b))) |
#s(approx (log (+ 1 (exp (neg b)))) #s(hole binary64 (log (+ 1 (exp (* -1 b)))))) |
#s(approx (log (+ 1 (exp (neg b)))) (log1p.f64 (exp.f64 (neg.f64 b)))) |
#s(approx (exp (neg b)) #s(hole binary64 (exp (* -1 b)))) |
#s(approx (exp (neg b)) (exp.f64 (neg.f64 b))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) #s(hole binary64 (* (pow b 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) b)) 1/2) b)))))) |
#s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal -1/2 binary64)) b) #s(literal 1/8 binary64)) (*.f64 b b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 254 |
| 0 | 70 | 233 |
| 1 | 328 | 233 |
| 0 | 2671 | 222 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b)) |
(+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b) |
(log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) |
#s(approx (exp (neg b)) #s(literal 1 binary64)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) |
(+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b) |
(log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) |
#s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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 (neg b)))) b) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) |
(log.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
#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 (exp.f64 b) (expm1.f64 b)))) |
(log.f64 (-.f64 (exp.f64 b) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (exp.f64 b)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 b))) |
(*.f64 (exp.f64 b) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 b) (cosh.f64 b)) (*.f64 (sinh.f64 b) (sinh.f64 b))) (exp.f64 (neg.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 (sinh.f64 b) (cosh.f64 b)) |
(+.f64 (cosh.f64 b) (sinh.f64 b)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
(*.f64 b #s(literal 1/2 binary64)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b)) |
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 b (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (-.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64)))) (pow.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 b b)) (-.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b)) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b)))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (-.f64 b (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64)))) (pow.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b)) (/.f64 (*.f64 b b) (-.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b))) |
(+.f64 (/.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 b (-.f64 b (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64)))) (pow.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64)))) (pow.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b) |
(+.f64 b (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) |
(-.f64 (log1p.f64 (*.f64 (neg.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) #s(approx (exp (neg b)) #s(literal 1 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (neg b)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp (neg b)) #s(literal 1 binary64)) #s(literal 3 binary64))) (log1p.f64 (*.f64 #s(approx (exp (neg b)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (neg b)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(log.f64 (-.f64 #s(approx (exp (neg b)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(approx (exp (neg b)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp (neg b)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (exp (neg b)) #s(literal 1 binary64)))) |
#s(approx (exp (neg b)) #s(literal 1 binary64)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) |
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) #s(literal 2 binary64))) (-.f64 b (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (-.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)))) (pow.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) #s(literal 2 binary64)) (*.f64 b b)) (-.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) #s(literal 2 binary64)) (*.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (-.f64 b (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)))) (pow.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) #s(literal 2 binary64)) (-.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) (/.f64 (*.f64 b b) (-.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b))) |
(+.f64 (/.f64 (pow.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) #s(literal 3 binary64)) (fma.f64 b (-.f64 b (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)))) (pow.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) #s(literal 2 binary64)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)))) (pow.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) #s(literal 2 binary64))))) |
(+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b) |
(+.f64 b (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)))) |
(log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))))) |
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64)) #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))))) |
(log.f64 (-.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))) |
(*.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)))) |
#s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b)) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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 (neg b)))) b) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #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 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #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 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 b (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #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 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64))))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64))) b)) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 b b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) b))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 b b) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/16 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 b b) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 b b)) (*.f64 b #s(literal 1/16 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 b #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/16 binary64))))) |
(fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) |
(fma.f64 b #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) b)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) #s(literal 1/8 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/16 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/64 binary64) (*.f64 b b) (-.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal 1/16 binary64)))))) |
(+.f64 (*.f64 #s(literal 1/8 binary64) b) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) b)) |
(log.f64 #s(literal 2 binary64)) |
Compiled 5 977 to 734 computations (87.7% saved)
16 alts after pruning (7 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 159 | 2 | 161 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 159 | 16 | 175 |
| Status | Accuracy | Program |
|---|---|---|
| 55.4% | (-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| ✓ | 54.8% | (log.f64 (+.f64 #s(approx (exp 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))))) |
| ✓ | 54.5% | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) |
| ✓ | 54.4% | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 binary64))) b)) |
| 55.2% | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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))))) | |
| ✓ | 55.1% | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
| 53.4% | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (log.f64 #s(literal 2 binary64)))) | |
| 5.1% | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64))))) | |
| ✓ | 48.6% | #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
| ✓ | 55.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
| 54.3% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) | |
| 53.4% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))) | |
| ✓ | 52.0% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
| ✓ | 54.6% | #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))))) |
| ✓ | 11.4% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
| 53.1% | #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 1 027 to 462 computations (55% saved)
| Inputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 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))))) |
#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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (fma.f64 #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) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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 (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) #s(literal 1 binary64)) (exp.f64 b))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
(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 (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))))) |
(log.f64 (+.f64 (exp.f64 a) (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 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) (log.f64 (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (log.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))) (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 a) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 a) (cosh.f64 a) (-.f64 (pow.f64 (+.f64 (sinh.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 (cosh.f64 a) (+.f64 (sinh.f64 a) (exp.f64 b))))))) |
| 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:
| 8.0ms | b |
| 7.0ms | a |
| 6.0ms | (exp.f64 b) |
| 5.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 5.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | (exp.f64 b) |
| 98.5% | 1 | (exp.f64 a) |
| 98.5% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 98.5% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 98.5% | 1 | a |
| 98.5% | 1 | b |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 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))))) |
#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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (fma.f64 #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) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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 (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) #s(literal 1 binary64)) (exp.f64 b))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
(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 (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))))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
6 calls:
| 14.0ms | a |
| 6.0ms | b |
| 5.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 5.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 5.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | (exp.f64 a) |
| 99.6% | 2 | a |
| 58.0% | 1 | (exp.f64 b) |
| 99.4% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 99.4% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 73.6% | 4 | b |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 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))))) |
#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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (fma.f64 #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) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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 (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) #s(literal 1 binary64)) (exp.f64 b))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
(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 (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))))) |
| Outputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
4 calls:
| 6.0ms | a |
| 5.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 5.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 4.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 99.4% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 99.4% | 2 | (exp.f64 a) |
| 99.4% | 2 | a |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 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))))) |
#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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (fma.f64 #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) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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 (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) #s(literal 1 binary64)) (exp.f64 b))) |
| Outputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
4 calls:
| 5.0ms | a |
| 4.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 4.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | (exp.f64 a) |
| 98.3% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 98.3% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 99.0% | 2 | a |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 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))))) |
#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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (fma.f64 #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) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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 (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| Outputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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))))) |
2 calls:
| 5.0ms | a |
| 3.0ms | (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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 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))))) |
#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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.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 (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (fma.f64 #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) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #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))))) |
| Outputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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:
| 5.0ms | a |
| 3.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | (exp.f64 a) |
| 98.6% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 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))))) |
#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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) (-.f64 #s(literal 1 binary64) b))) b)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) 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:
| 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 |
|---|---|---|
| 97.3% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 97.3% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 97.9% | 2 | (exp.f64 a) |
| 97.9% | 2 | a |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (log.f64 #s(literal 2 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))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 #s(approx (exp (neg b)) #s(literal 1 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))))) |
| Outputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
2 calls:
| 3.0ms | a |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 2 | (exp.f64 a) |
| 97.8% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
| Outputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
2 calls:
| 3.0ms | a |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | a |
| 97.3% | 2 | (exp.f64 a) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (log.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
4 calls:
| 2.0ms | a |
| 1.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 1.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 96.2% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 96.9% | 2 | (exp.f64 a) |
| 96.9% | 2 | a |
Compiled 14 to 16 computations (-14.3% saved)
Total -28.0b remaining (-85%)
Threshold costs -28b (-85%)
| Inputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) #s(approx (+ (* (+ (* 1/8 b) 1/2) b) (log 2)) (*.f64 (*.f64 b b) #s(literal 1/8 binary64))))) |
| Outputs |
|---|
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
6 calls:
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 1.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.6% | 1 | (exp.f64 b) |
| 48.6% | 1 | b |
| 48.6% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 48.6% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 48.6% | 1 | (exp.f64 a) |
| 48.6% | 1 | a |
Compiled 17 to 21 computations (-23.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | -424.69208502878456 | -8.487123768546885e-6 |
| 15.0ms | 109× | 1 | valid |
| 2.0ms | 35× | 0 | valid |
Compiled 261 to 227 computations (13% saved)
ival-exp: 4.0ms (32.6% of total)ival-log: 4.0ms (32.6% of total)adjust: 2.0ms (16.3% of total)ival-add: 1.0ms (8.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | -424.69208502878456 | -8.487123768546885e-6 |
| 19.0ms | 96× | 1 | valid |
Compiled 450 to 353 computations (21.6% saved)
ival-exp: 9.0ms (56.8% of total)ival-log: 3.0ms (18.9% of total)adjust: 2.0ms (12.6% of total)ival-add: 1.0ms (6.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | -424.69208502878456 | -8.487123768546885e-6 |
| 6.0ms | 44× | 1 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 297 to 254 computations (14.5% saved)
ival-exp: 2.0ms (43.6% of total)adjust: 1.0ms (21.8% of total)ival-log: 1.0ms (21.8% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -424.69208502878456 | -8.487123768546885e-6 |
Compiled 594 to 434 computations (26.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -424.69208502878456 | -8.487123768546885e-6 |
Compiled 549 to 407 computations (25.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -424.69208502878456 | -8.487123768546885e-6 |
Compiled 432 to 344 computations (20.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.6188531820745227e-185 | 0.999991512912247 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.6188531820745227e-185 | 0.999991512912247 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -424.69208502878456 | -8.487123768546885e-6 |
Compiled 315 to 263 computations (16.5% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 373 |
| 1 | 139 | 373 |
| 2 | 297 | 373 |
| 3 | 1429 | 373 |
| 1× | node 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)))) |
(if (<=.f64 a #s(literal -36 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(if (<=.f64 a #s(literal -108 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))) |
(if (<=.f64 a #s(literal -30 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))) |
(if (<=.f64 a #s(literal -30 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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)))))) |
(if (<=.f64 a #s(literal -30 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))) |
(if (<=.f64 a #s(literal -31 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) 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)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3827252586451049/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3827252586451049/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))) |
(if (<=.f64 a #s(literal -30 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
(if (<=.f64 a #s(literal -36 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(if (<=.f64 a #s(literal -108 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b))) |
(if (<=.f64 a #s(literal -30 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))) |
(if (<=.f64 a #s(literal -30 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) 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)))))) |
(if (<=.f64 a #s(literal -30 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) #s(approx (+ (log (+ 1 (exp (neg b)))) b) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))))) |
(if (<=.f64 a #s(literal -31 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) 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)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3827252586451049/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3827252586451049/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))) |
(if (<=.f64 a #s(literal -30 binary64)) #s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (- (log (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1))) (log (exp (+ (neg a) (neg b))))) b) |
| 1× | fuel |
Compiled 464 to 95 computations (79.5% saved)
Compiled 1 004 to 248 computations (75.3% saved)
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