
Time bar (total: 10.3s)
| 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)
| 2.5s | 7 736× | 5 | exit |
| 1.1s | 1 601× | 2 | valid |
| 596.0ms | 2 418× | 1 | valid |
| 269.0ms | 4 237× | 0 | valid |
ival-log: 1.5s (42.7% of total)ival-exp: 915.0ms (25.2% of total)adjust: 890.0ms (24.5% of total)ival-add: 255.0ms (7% of total)ival-true: 14.0ms (0.4% of total)ival-assert: 7.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 128 | 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 | 125 | 0 |
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | oflow-rescue | 2 | 0 |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | overflow | 2 | |
| ↳ | (exp.f64 a) | overflow | 2 | |
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | uflow-rescue | 1 | 0 |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | underflow | 1 | |
| ↳ | (exp.f64 a) | underflow | 65 | |
| ↳ | (exp.f64 b) | underflow | 66 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 128 | 0 |
| - | 0 | 128 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 128 | 0 | 0 |
| - | 0 | 0 | 128 |
| number | freq |
|---|---|
| 0 | 128 |
| 1 | 128 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 46.0ms | 94× | 2 | valid |
| 30.0ms | 150× | 1 | valid |
| 16.0ms | 268× | 0 | valid |
Compiled 44 to 22 computations (50% saved)
ival-log: 37.0ms (51.3% of total)ival-exp: 23.0ms (31.9% of total)adjust: 7.0ms (9.7% of total)ival-add: 4.0ms (5.5% 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 | 16 | 36 |
| 1 | 36 | 36 |
| 2 | 93 | 36 |
| 3 | 357 | 36 |
| 4 | 1777 | 36 |
| 5 | 6980 | 36 |
| 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 |
|---|---|---|
| ▶ | 54.7% | (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 | 28.993832470659672 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 37.0ms | 134× | 0 | valid |
| 23.0ms | 47× | 2 | valid |
| 14.0ms | 75× | 1 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-log: 18.0ms (50.5% of total)ival-exp: 12.0ms (33.7% of total)adjust: 3.0ms (8.4% of total)ival-add: 2.0ms (5.6% 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 | |
|---|---|---|---|---|
| 41.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 26.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 17.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 15.0ms | 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 |
|---|---|---|
| 48.3% | (-.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))))) | |
| ▶ | 48.3% | (log.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) |
| ✓ | 54.7% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 52.8% | (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))))) | |
| ▶ | 52.5% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
| 52.2% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) | |
| ▶ | 49.5% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
| ▶ | 99.0% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
| 49.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) | |
| ▶ | 50.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
Compiled 252 to 204 computations (19% 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 | (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) | |
| cost-diff | 8 | (/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))) | |
| 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: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 212 |
| 0 | 62 | 197 |
| 1 | 110 | 197 |
| 2 | 313 | 181 |
| 3 | 2086 | 181 |
| 0 | 9001 | 181 |
| 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) |
(log.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (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))) |
#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 |
(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) |
(log.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(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 b)) (exp.f64 (neg.f64 a))) |
#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 |
(exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))) |
(exp.f64 (-.f64 (neg.f64 b) a)) |
(+.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 | 0.01171875 | (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) | |
| accuracy | 1.234388755254126 | (/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b)))) | |
| accuracy | 1.733651965935832 | (log.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) | |
| accuracy | 0.0 | (exp.f64 a) | |
| 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 | 0.7643412422314229 | #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) | |
| accuracy | 1.733651965935832 | (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 | 1.733651965935832 | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) | |
| accuracy | 2.5295213359364235 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (exp.f64 a) | |
| accuracy | 0.00390625 | (log1p.f64 (exp.f64 a)) | |
| accuracy | 2.0220553920566355 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) | |
| accuracy | 0.00390625 | (-.f64 (exp.f64 a) #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) | |
| accuracy | 0.00390625 | (log1p.f64 (exp.f64 a)) | |
| accuracy | 0.6059209407019626 | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
| 50.0ms | 126× | 0 | valid |
| 25.0ms | 125× | 0 | exit |
| 6.0ms | 4× | 2 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 181 to 30 computations (83.4% saved)
ival-mult: 19.0ms (35.7% of total)ival-exp: 10.0ms (18.8% of total)ival-log: 7.0ms (13.2% of total)ival-add: 6.0ms (11.3% of total)ival-div: 3.0ms (5.6% of total)ival-log1p: 2.0ms (3.8% of total)ival-neg: 2.0ms (3.8% of total)adjust: 1.0ms (1.9% of total)ival-sub: 1.0ms (1.9% 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 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (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))) |
(+.f64 (neg.f64 a) (neg.f64 b)) |
(log.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) |
(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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ 1 (exp (neg b))) (exp (neg b))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* -1 (* a (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* a (- (* -1 (* a (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ (* -1/6 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/6 (/ 1 (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))))) |
#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 (+ (* 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)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg b))) (exp (neg b)))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* -1 (/ (* a (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (+ 1 (exp (neg b)))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* 1/2 (* a (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2))))))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* a (+ (* 1/6 (* a (+ (* -6 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ (* -1/6 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/6 (/ 1 (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))))) (+ 1 (exp (neg b))))) (+ (* -6 (/ (* (pow (exp (neg b)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (pow (+ 1 (exp (neg b))) 2))) (* -2 (/ (* (pow (exp (neg b)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 3)) (pow (+ 1 (exp (neg b))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2)))))))))))) |
#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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ (exp (neg a)) (exp (neg b))) (exp (neg (+ a b)))))) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (exp (neg a)))) |
#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)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (neg b))) (exp (neg (+ a b))))))) |
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a)))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ (exp (neg b)) (exp (* -1 a))) (exp (- (* -1 a) b))))) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (exp (* -1 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)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg b)) (exp (* -1 a))) (exp (- (* -1 a) b)))))) |
#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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ 1 (exp (neg a))) (exp (neg a))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* -1 (* b (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (/ 1 (exp (neg a))))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (/ 1 (exp (neg a))))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (/ 1 (exp (neg 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 (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg a))) (exp (neg a)))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* -1 (/ (* b (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (+ 1 (exp (neg a)))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* 1/2 (* b (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2))))))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))))) (+ 1 (exp (neg a))))) (+ (* -6 (/ (* (pow (exp (neg a)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (pow (+ 1 (exp (neg a))) 2))) (* -2 (/ (* (pow (exp (neg a)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 3)) (pow (+ 1 (exp (neg a))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2)))))))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1)))) |
#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 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a))))) |
#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)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 74.0ms | 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) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (* (exp (neg a)) 1) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (exp (neg a))) |
| 49.0ms | 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) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (* (exp (neg a)) 1) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (exp (neg a))) |
| 49.0ms | 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) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (* (exp (neg a)) 1) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (exp (neg a))) |
| 38.0ms | 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) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (* (exp (neg a)) 1) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (exp (neg a))) |
| 29.0ms | 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) (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (* (exp (neg a)) 1) (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+ (neg a) (neg b)) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (exp (neg a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 520 | 2961 |
| 1 | 1575 | 2395 |
| 2 | 7768 | 2395 |
| 0 | 9000 | 2198 |
| 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ 1 (exp (neg b))) (exp (neg b))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* -1 (* a (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* a (- (* -1 (* a (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ (* -1/6 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/6 (/ 1 (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))))) |
#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 (+ (* 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)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg b))) (exp (neg b)))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* -1 (/ (* a (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (+ 1 (exp (neg b)))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* 1/2 (* a (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2))))))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* a (+ (* 1/6 (* a (+ (* -6 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ (* -1/6 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/6 (/ 1 (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))))) (+ 1 (exp (neg b))))) (+ (* -6 (/ (* (pow (exp (neg b)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (pow (+ 1 (exp (neg b))) 2))) (* -2 (/ (* (pow (exp (neg b)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 3)) (pow (+ 1 (exp (neg b))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2)))))))))))) |
#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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ (exp (neg a)) (exp (neg b))) (exp (neg (+ a b)))))) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (exp (neg a)))) |
#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)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (neg b))) (exp (neg (+ a b))))))) |
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a)))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ (exp (neg b)) (exp (* -1 a))) (exp (- (* -1 a) b))))) |
#s(approx (* (exp (neg a)) 1) #s(hole binary64 (exp (* -1 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)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg b)) (exp (* -1 a))) (exp (- (* -1 a) b)))))) |
#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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ 1 (exp (neg a))) (exp (neg a))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* -1 (* b (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (/ 1 (exp (neg a))))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (/ 1 (exp (neg a))))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (/ 1 (exp (neg 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 (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg a))) (exp (neg a)))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* -1 (/ (* b (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (+ 1 (exp (neg a)))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* 1/2 (* b (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2))))))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))))) (+ 1 (exp (neg a))))) (+ (* -6 (/ (* (pow (exp (neg a)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (pow (+ 1 (exp (neg a))) 2))) (* -2 (/ (* (pow (exp (neg a)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 3)) (pow (+ 1 (exp (neg a))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2)))))))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1)))) |
#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 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a))))) |
#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)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a)))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (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 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.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 (+ (/ 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 (-.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) a)) 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 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64))) #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))))))))) |
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#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)))))))) |
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#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp b)))) |
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#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ a (exp b))))) |
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#s(approx (exp (neg a)) #s(hole binary64 1)) |
#s(approx (* (exp (neg a)) 1) #s(literal 1 binary64)) |
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* -1 a)))) |
#s(approx (* (exp (neg a)) 1) (-.f64 #s(literal 1 binary64) a)) |
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* 1/2 a) 1))))) |
#s(approx (* (exp (neg a)) 1) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) a #s(literal 1 binary64))) |
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* a (- (* a (+ 1/2 (* -1/6 a))) 1))))) |
#s(approx (* (exp (neg a)) 1) (fma.f64 (-.f64 (*.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))))) |
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#s(approx (/ b (- (exp a) -1)) #s(hole binary64 (/ b (+ 1 (exp a))))) |
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#s(approx (- (exp a) -1) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (log (+ 1 (exp a))) (log1p.f64 (exp.f64 a))) |
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#s(approx (exp a) (exp.f64 a)) |
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#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #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 (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ b (exp a))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (+ (exp a) (exp b)) #s(hole binary64 (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (exp.f64 a)) #s(literal 1 binary64))) |
#s(approx (exp b) #s(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 #s(literal 1 binary64) b)) |
#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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ 1 (exp (neg a))) (exp (neg a))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* -1 (* b (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (/ 1 (exp (neg a))))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (fma.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a)) (neg.f64 b) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (/ 1 (exp (neg a))))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64))) (neg.f64 b)) (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a))) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (+ 1 (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (/ 1 (exp (neg a))))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (+.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/6 binary64) (fma.f64 (exp.f64 a) #s(literal 2/3 binary64) (fma.f64 (exp.f64 a) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) (fma.f64 (exp.f64 a) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 b)) (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64)))) b (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (exp.f64 a)) b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#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)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) |
#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)) (-.f64 (exp.f64 (neg.f64 a)) (-.f64 b #s(literal 1 binary64)))) |
#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)) (+.f64 (exp.f64 (neg.f64 a)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) b #s(literal 1 binary64)))) |
#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 (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (+.f64 (exp.f64 (neg.f64 a)) (fma.f64 (-.f64 (*.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 (+ (neg a) (neg b)) #s(hole binary64 (- (* -1 b) a))) |
#s(approx (+ (neg a) (neg b)) (-.f64 (neg.f64 a) b)) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg a))) (exp (neg a)))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* -1 (/ (* b (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (+ 1 (exp (neg a)))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* 1/2 (* b (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2))))))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64))) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64))) b (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))))) (+ 1 (exp (neg a))))) (+ (* -6 (/ (* (pow (exp (neg a)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (pow (+ 1 (exp (neg a))) 2))) (* -2 (/ (* (pow (exp (neg a)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 3)) (pow (+ 1 (exp (neg a))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2)))))))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -6 binary64) (fma.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (+.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1/6 binary64) (fma.f64 (exp.f64 a) #s(literal 2/3 binary64) (fma.f64 (exp.f64 a) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) (fma.f64 (exp.f64 a) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)) (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a))) (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) b) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64))) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64)))) b (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #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 (exp b) #s(hole binary64 (exp b))) |
#s(approx (exp b) (exp.f64 b)) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1)))) |
#s(approx (+ (neg a) (neg b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 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 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) #s(hole binary64 (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a))))) |
#s(approx (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b)))) (+.f64 (exp.f64 a) (exp.f64 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 a)) (exp.f64 (neg.f64 b)))) |
#s(approx (+ (neg a) (neg b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b)))))) |
#s(approx (+ (neg a) (neg b)) (neg.f64 (fma.f64 (/.f64 a b) b b))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a)))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 168 |
| 0 | 62 | 154 |
| 1 | 229 | 153 |
| 0 | 1818 | 153 |
| 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 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (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))) |
(+.f64 (neg.f64 a) (neg.f64 b)) |
(log.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) |
(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))))) |
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(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))) |
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(+.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))) |
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(/.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))))) |
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(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 a)))) |
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(/.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))) |
(*.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 (neg.f64 a))) |
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(fma.f64 (cosh.f64 a) #s(literal 1 binary64) (*.f64 (sinh.f64 a) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 a) (*.f64 #s(literal 1 binary64) (sinh.f64 a))) |
(exp.f64 (+.f64 #s(literal 0 binary64) a)) |
(exp.f64 a) |
(+.f64 (*.f64 (cosh.f64 a) #s(literal 1 binary64)) (*.f64 (sinh.f64 a) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 a)) (*.f64 #s(literal 1 binary64) (sinh.f64 a))) |
(+.f64 (sinh.f64 a) (cosh.f64 a)) |
(+.f64 (cosh.f64 a) (sinh.f64 a)) |
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(log.f64 (+.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64)))) |
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(+.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (cosh.f64 b)) (sinh.f64 b)) |
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(+.f64 (cosh.f64 b) (+.f64 (sinh.f64 b) #s(approx (exp a) #s(literal 1 binary64)))) |
(+.f64 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64))) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) |
#s(approx (exp a) #s(literal 1 binary64)) |
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(exp.f64 b) |
(+.f64 (sinh.f64 b) (cosh.f64 b)) |
(+.f64 (cosh.f64 b) (sinh.f64 b)) |
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(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))) |
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(fma.f64 #s(literal 1 binary64) (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)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (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)))) |
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))) |
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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 (neg.f64 a) #s(literal 0 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 a))) |
(exp.f64 (neg.f64 a)) |
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(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))) |
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(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)) |
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(-.f64 (cosh.f64 a) (-.f64 (sinh.f64 a) (exp.f64 (neg.f64 b)))) |
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(-.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))) |
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(+.f64 (cosh.f64 a) (+.f64 (sinh.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) |
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(neg.f64 (+.f64 b a)) |
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(*.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 9 233 to 1 479 computations (84% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 338 | 13 | 351 |
| Fresh | 4 | 0 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 346 | 15 | 361 |
| Status | Accuracy | Program |
|---|---|---|
| 50.0% | (-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) | |
| ✓ | 54.7% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 48.8% | (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))))) | |
| ▶ | 48.7% | (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))))) |
| ▶ | 49.5% | #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b))) |
| 47.7% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)))) | |
| ✓ | 50.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| 48.6% | #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))))) | |
| 46.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| ▶ | 48.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| ▶ | 48.9% | #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))))) |
| ▶ | 53.5% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
| 48.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| 48.3% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| 47.8% | #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 504 to 393 computations (22% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 b) | |
| cost-diff | 0 | (log1p.f64 (exp.f64 b)) | |
| cost-diff | 0 | #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b))) | |
| 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 | #s(approx (exp a) #s(literal 1 binary64)) | |
| cost-diff | 0 | (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) | |
| 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 | #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 223 |
| 0 | 63 | 218 |
| 1 | 113 | 218 |
| 2 | 314 | 210 |
| 3 | 2102 | 210 |
| 0 | 8692 | 202 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp 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) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
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 |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
b |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #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)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(/.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)) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(exp.f64 a) |
a |
#s(literal 1 binary64) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
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 |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
b |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 b) | |
| accuracy | 0.48802388501689253 | (log1p.f64 (exp.f64 b)) | |
| accuracy | 2.4157753529773673 | #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b))) | |
| 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 | 0.7643412422314229 | #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) | |
| accuracy | 1.733651965935832 | (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 | 2.5295213359364235 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (log.f64 #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) | |
| accuracy | 0.6059209407019626 | #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 | 2.487762992812118 | #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 | 0.00390625 | (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) | |
| accuracy | 2.0220553920566355 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) | |
| accuracy | 2.5295213359364235 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (+.f64 (exp.f64 a) #s(literal 1 binary64)) | |
| accuracy | 0.6059209407019626 | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) | |
| accuracy | 29.555992488014112 | #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
| 29.0ms | 126× | 0 | valid |
| 28.0ms | 125× | 0 | exit |
| 6.0ms | 4× | 2 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 137 to 36 computations (73.7% saved)
ival-exp: 11.0ms (22.7% of total)ival-add: 9.0ms (18.6% of total)ival-log: 9.0ms (18.6% of total)ival-mult: 6.0ms (12.4% of total)ival-div: 5.0ms (10.3% of total)ival-log1p: 4.0ms (8.3% of total)ival-neg: 2.0ms (4.1% of total)adjust: 1.0ms (2.1% of total)ival-sub: 1.0ms (2.1% 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))) #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)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/.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 #s(approx (exp a) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(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 b) (fma.f64 (fma.f64 #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)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))))) |
#s(approx (/ b (+ (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 (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg b))) (exp (neg b)))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* -1 (/ (* a (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (+ 1 (exp (neg b)))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* 1/2 (* a (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2))))))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* a (+ (* 1/6 (* a (+ (* -6 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ (* -1/6 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/6 (/ 1 (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))))) (+ 1 (exp (neg b))))) (+ (* -6 (/ (* (pow (exp (neg b)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (pow (+ 1 (exp (neg b))) 2))) (* -2 (/ (* (pow (exp (neg b)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 3)) (pow (+ 1 (exp (neg b))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2)))))))))))) |
#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 (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (neg b))) (exp (neg (+ a b))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg b)) (exp (* -1 a))) (exp (- (* -1 a) b)))))) |
#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)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg a))) (exp (neg a)))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* -1 (/ (* b (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (+ 1 (exp (neg a)))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* 1/2 (* b (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2))))))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))))) (+ 1 (exp (neg a))))) (+ (* -6 (/ (* (pow (exp (neg a)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (pow (+ 1 (exp (neg a))) 2))) (* -2 (/ (* (pow (exp (neg a)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 3)) (pow (+ 1 (exp (neg a))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2)))))))))))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b))))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | 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))) (+ (/ 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 b) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b)) |
| 31.0ms | 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))) (+ (/ 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 b) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b)) |
| 30.0ms | 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))) (+ (/ 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 b) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b)) |
| 20.0ms | 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))) (+ (/ 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 b) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b)) |
| 5.0ms | b | @ | 0 | ((log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log (+ 1 (exp b))) (exp b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 429 | 2162 |
| 1 | 1359 | 1808 |
| 2 | 6843 | 1808 |
| 0 | 8076 | 1617 |
| 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 (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg b))) (exp (neg b)))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* -1 (/ (* a (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (+ 1 (exp (neg b)))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* 1/2 (* a (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2))))))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* a (+ (* 1/6 (* a (+ (* -6 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ (* -1/6 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/6 (/ 1 (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))))) (+ 1 (exp (neg b))))) (+ (* -6 (/ (* (pow (exp (neg b)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (pow (+ 1 (exp (neg b))) 2))) (* -2 (/ (* (pow (exp (neg b)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 3)) (pow (+ 1 (exp (neg b))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2)))))))))))) |
#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 (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (neg b))) (exp (neg (+ a b))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg b)) (exp (* -1 a))) (exp (- (* -1 a) b)))))) |
#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)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg a))) (exp (neg a)))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* -1 (/ (* b (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (+ 1 (exp (neg a)))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* 1/2 (* b (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2))))))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))))) (+ 1 (exp (neg a))))) (+ (* -6 (/ (* (pow (exp (neg a)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (pow (+ 1 (exp (neg a))) 2))) (* -2 (/ (* (pow (exp (neg a)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 3)) (pow (+ 1 (exp (neg a))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2)))))))))))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* b (+ 1/2 (/ (log 2) b))))) |
#s(approx (exp b) #s(hole binary64 (exp b))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))))) |
#s(approx (+ (* 1/2 b) (log 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a)))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (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 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.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 (+ (/ 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)) (neg.f64 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 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (+ (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 (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)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg b))) (exp (neg b)))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* -1 (/ (* a (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (+ 1 (exp (neg b)))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 b) #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))) (neg.f64 a) (log1p.f64 (exp.f64 b)))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* 1/2 (* a (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2))))))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 b)) #s(literal 2 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 b) #s(literal 2 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 b) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 b) #s(literal -1 binary64) #s(literal -1 binary64))) (exp.f64 (neg.f64 b))) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))) #s(literal -1 binary64))) a (/.f64 (fma.f64 (fma.f64 (exp.f64 b) #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))))) a (log1p.f64 (exp.f64 b)))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg b))) (exp (neg b)))) (* a (+ (* -1 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ 1 (exp (neg b))))) (* a (+ (* 1/6 (* a (+ (* -6 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b))))) (+ (* -1/6 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/6 (/ 1 (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))))))) (+ 1 (exp (neg b))))) (+ (* -6 (/ (* (pow (exp (neg b)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b)))))) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))))) (pow (+ 1 (exp (neg b))) 2))) (* -2 (/ (* (pow (exp (neg b)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 3)) (pow (+ 1 (exp (neg b))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg b)) (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (+ (* 1/2 (/ 1 (exp (neg b)))) (* 1/2 (/ (+ 1 (exp (neg b))) (exp (neg b))))))) (+ 1 (exp (neg b))))) (* -1 (/ (* (pow (exp (neg b)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg b))) (exp (neg b)))) (/ 1 (exp (neg b)))) 2)) (pow (+ 1 (exp (neg b))) 2)))))))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -6 binary64) (fma.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/6 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)) (fma.f64 (exp.f64 b) #s(literal 2/3 binary64) (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 b) #s(literal -1/2 binary64) (fma.f64 (exp.f64 b) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))) (exp.f64 (neg.f64 b)) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 b) #s(literal 2 binary64))) (fma.f64 (+.f64 (exp.f64 b) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 b) #s(literal -1 binary64) #s(literal -1 binary64)))) (/.f64 (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 b) #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal -2 binary64))) a) #s(literal 1/6 binary64) (fma.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 b)) #s(literal 2 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 b) #s(literal 2 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 b) (+.f64 (exp.f64 b) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 b) #s(literal -1 binary64) #s(literal -1 binary64))) (exp.f64 (neg.f64 b))) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))) #s(literal -1 binary64)))) a (/.f64 (fma.f64 (fma.f64 (exp.f64 b) #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))))) a (log1p.f64 (exp.f64 b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ (exp a) (exp b))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 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)) (log (+ 1 (exp a)))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
#s(approx (/ b (+ (exp a) 1)) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (/ b (+ (exp a) 1)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
#s(approx (+ (exp a) 1) #s(hole binary64 (+ 1 (exp a)))) |
#s(approx (+ (exp a) 1) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
#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 (+ (exp a) (exp b)) #s(hole binary64 (+ (exp a) (exp b)))) |
#s(approx (+ (exp a) (exp b)) (+.f64 (exp.f64 a) (exp.f64 b))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (neg b))) (exp (neg (+ a b))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg b)) (exp (* -1 a))) (exp (- (* -1 a) b)))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg 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 (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #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 #s(literal 1 binary64) b)) |
#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)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ 1 (exp (neg a))) (exp (neg a)))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* -1 (/ (* b (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (+ 1 (exp (neg a)))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* 1/2 (* b (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2))))))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64))) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64))) b (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (+ (log (/ (+ 1 (exp (neg a))) (exp (neg a)))) (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ 1 (exp (neg a))))) (* b (+ (* 1/6 (* b (+ (* -6 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* -1/2 (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a))))) (+ (* -1/6 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/6 (/ 1 (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))))))) (+ 1 (exp (neg a))))) (+ (* -6 (/ (* (pow (exp (neg a)) 2) (* (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a)))))) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))))) (pow (+ 1 (exp (neg a))) 2))) (* -2 (/ (* (pow (exp (neg a)) 3) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 3)) (pow (+ 1 (exp (neg a))) 3))))))) (* 1/2 (+ (* -2 (/ (* (exp (neg a)) (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (+ (* 1/2 (/ 1 (exp (neg a)))) (* 1/2 (/ (+ 1 (exp (neg a))) (exp (neg a))))))) (+ 1 (exp (neg a))))) (* -1 (/ (* (pow (exp (neg a)) 2) (pow (+ (* -1 (/ (+ 1 (exp (neg a))) (exp (neg a)))) (/ 1 (exp (neg a)))) 2)) (pow (+ 1 (exp (neg a))) 2)))))))))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -6 binary64) (fma.f64 (/.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/6 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) #s(literal 2/3 binary64) (fma.f64 (exp.f64 a) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 a) #s(literal -1/2 binary64) (fma.f64 (exp.f64 a) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (neg.f64 a)) (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a))) (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) b) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 a) #s(literal 2 binary64)))) (pow.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal 1/2 binary64) (fma.f64 (exp.f64 a) #s(literal -1 binary64) #s(literal -1 binary64))) (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) #s(literal -1 binary64)))) b (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)))) b (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp b))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* 1/2 b)))) |
#s(approx (log (+ 1 (exp b))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* 1/8 b)))))) |
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp b))) #s(hole binary64 (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))))) |
#s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #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 b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ 1 (exp b))) (log1p.f64 (exp.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 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal -1 binary64) #s(literal -1/2 binary64)) (neg.f64 b))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(hole binary64 (log (/ (+ (exp (neg a)) (exp (* -1 b))) (exp (- (* -1 b) a)))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 195 |
| 0 | 63 | 190 |
| 1 | 258 | 189 |
| 0 | 2131 | 181 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(/.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 #s(approx (exp a) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(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 b) (fma.f64 (fma.f64 #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)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #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)))) (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64)))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(*.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.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) (expm1.f64 a) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 b (-.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 b (-.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))) |
(/.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 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a))) |
(/.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 #s(literal -1 binary64) (expm1.f64 a) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (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 (expm1.f64 (+.f64 a a)) (expm1.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) (expm1.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 (*.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64) #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 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (expm1.f64 a) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (expm1.f64 a) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (expm1.f64 a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) |
(-.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 (exp.f64 a) #s(literal -1 binary64)) |
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.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 #s(approx (exp a) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
(-.f64 (log1p.f64 (*.f64 (neg.f64 #s(approx (exp a) #s(literal 1 binary64))) #s(approx (exp a) #s(literal 1 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (pow.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 3 binary64))) (log1p.f64 (*.f64 #s(approx (exp a) #s(literal 1 binary64)) (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(log.f64 (-.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 b b))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (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 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (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 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.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 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64))) |
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (-.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)))) |
(fma.f64 #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 #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)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #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)))) |
(-.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 b) (fma.f64 (fma.f64 #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)) (exp (+ (neg a) (neg 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)) |
Compiled 5 639 to 803 computations (85.8% saved)
19 alts after pruning (14 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 167 | 7 | 174 |
| Fresh | 1 | 7 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 170 | 19 | 189 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.0% | (-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) |
| ✓ | 54.7% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 48.7% | #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) | |
| 48.8% | #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) | |
| 47.7% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)))) | |
| ✓ | 50.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| 48.6% | #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))))) | |
| 46.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| ✓ | 48.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| ✓ | 48.9% | #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))))) |
| 2.9% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))) | |
| ✓ | 53.5% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
| 4.9% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64)))))) | |
| ▶ | 3.3% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
| 5.3% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))))) | |
| ▶ | 12.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
| ▶ | 48.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
| ▶ | 48.3% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
| 47.8% | #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 807 to 591 computations (26.8% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (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))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| cost-diff | 1 | (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) | |
| cost-diff | 1 | (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) | |
| cost-diff | 2 | (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) | |
| cost-diff | 2 | (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) b) | |
| cost-diff | 0 | #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.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 (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) | |
| cost-diff | 0 | (exp.f64 (neg.f64 b)) | |
| cost-diff | 0 | (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))) | |
| cost-diff | 0 | (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) | |
| cost-diff | 0 | (-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 429 |
| 0 | 86 | 409 |
| 1 | 147 | 409 |
| 2 | 352 | 402 |
| 3 | 1219 | 397 |
| 4 | 4396 | 397 |
| 0 | 8713 | 376 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) |
(log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) |
(+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))) |
(exp.f64 (neg.f64 b)) |
(neg.f64 b) |
b |
(exp.f64 (neg.f64 a)) |
(neg.f64 a) |
a |
(neg.f64 (+.f64 b a)) |
(+.f64 b a) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) |
(fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) |
#s(literal -1/48 binary64) |
b |
#s(literal 0 binary64) |
(neg.f64 a) |
a |
(*.f64 #s(literal -1/4 binary64) b) |
#s(literal -1/4 binary64) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
a |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(*.f64 a a) |
a |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) |
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) (-.f64 (neg.f64 a) b)) |
(log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) |
(log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) |
(+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))) |
(+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))) |
(exp.f64 (neg.f64 b)) |
(neg.f64 b) |
b |
(exp.f64 (neg.f64 a)) |
(neg.f64 a) |
a |
(neg.f64 (+.f64 b a)) |
(-.f64 (neg.f64 a) b) |
(+.f64 b a) |
(+.f64 a b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (*.f64 b (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64))) a (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (*.f64 b (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64))) a (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (*.f64 b (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64))) a (*.f64 #s(literal 1/2 binary64) b))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) |
(fma.f64 (*.f64 b (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64))) a (*.f64 #s(literal 1/2 binary64) b)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) |
(*.f64 b (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) |
(*.f64 (*.f64 #s(literal 1/48 binary64) a) b) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) |
(*.f64 (*.f64 #s(literal 1/48 binary64) a) b) |
(fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) |
(*.f64 #s(literal -1/48 binary64) b) |
#s(literal -1/48 binary64) |
b |
#s(literal 0 binary64) |
(neg.f64 a) |
a |
(*.f64 #s(literal -1/4 binary64) b) |
#s(literal -1/4 binary64) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
a |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) |
(*.f64 a a) |
a |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) | |
| accuracy | 0.01953125 | (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))) | |
| accuracy | 1.9339748815071132 | #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)))) | |
| accuracy | 2.0220553920566355 | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| accuracy | 0.0 | (log.f64 #s(literal 2 binary64)) | |
| accuracy | 0.015625 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) | |
| accuracy | 1.9477644929288143 | #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)))) | |
| accuracy | 2.0220553920566355 | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| accuracy | 0.1796875 | (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) | |
| accuracy | 0.6059209407019626 | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) | |
| accuracy | 1.9343244439702834 | #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) | |
| accuracy | 29.555992488014112 | #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) b) | |
| accuracy | 0.6059209407019626 | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) | |
| accuracy | 2.2544018483724675 | #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) | |
| accuracy | 29.555992488014112 | #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) | |
| accuracy | 0.0 | (exp.f64 (neg.f64 a)) | |
| accuracy | 0.01171875 | (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))) | |
| accuracy | 1.267375423154535 | (-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) | |
| accuracy | 1.7104967082856346 | (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) |
| 331.0ms | 125× | 5 | exit |
| 66.0ms | 124× | 0 | valid |
| 6.0ms | 4× | 2 | valid |
| 3.0ms | 3× | 1 | valid |
Compiled 264 to 54 computations (79.5% saved)
adjust: 141.0ms (43% of total)ival-log: 69.0ms (21.1% of total)ival-mult: 30.0ms (9.2% of total)ival-add: 28.0ms (8.5% of total)ival-exp: 26.0ms (7.9% of total)ival-div: 10.0ms (3.1% of total)const: 10.0ms (3.1% of total)ival-sub: 7.0ms (2.1% of total)ival-neg: 4.0ms (1.2% of total)ival-log1p: 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 |
|---|
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) |
(log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) |
(+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))) |
(exp.f64 (neg.f64 b)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) |
(fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(exp.f64 (neg.f64 a)) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
(log.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (log (+ 1 (exp (neg b))))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- 1 (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #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 (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #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 (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ 1 (exp (neg b)))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* -1 (/ a (+ 1 (exp (neg b)))))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #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 (+ (exp (neg b)) (exp (neg a)))) #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 b)) (exp (neg a))) #s(hole binary64 (+ 1 (exp (neg b))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* -1 a))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* 1/2 a) 1)))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))) |
#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 (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* -1/4 b))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (+ (* -1/4 b) (* 1/48 (* (pow a 2) b))))) |
#s(approx (- (* (+ (* -1/48 b) 0) (neg a)) 0) #s(hole binary64 (* 1/48 (* a b)))) |
#s(approx (* (+ (* -1/48 b) 0) (neg a)) #s(hole binary64 (* 1/48 (* a b)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
#s(approx (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 (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 a)) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* a (+ 1 (+ (/ b a) (/ (log (+ (exp (neg a)) (exp (neg b)))) a)))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg a)) (exp (neg b)))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg a)) (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 (/ b (+ (exp a) 1)) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* 1/48 (* (pow a 2) b)))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* 1/8 (pow a 2)))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2))))))) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* 1/8 a))) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* a (+ 1/8 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* -1/192 (pow a 4)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1/192 (pow a 3)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)))) |
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a)))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (log (+ (exp (neg b)) (exp (* -1 a))))) a)) 1))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg b)) (exp (* -1 a)))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg b)) (exp (* -1 a))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a)))))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2)))))))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2)))))))) |
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -1 a)))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (log (+ 1 (exp (neg a))))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- 1 (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #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 (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #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 (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ 1 (exp (neg a)))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* -1 (/ b (+ 1 (exp (neg a)))))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #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 (+ (exp (neg b)) (exp (neg a)))) #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 (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (exp (neg a))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* -1 b))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* 1/2 b) 1)))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* b (+ 1/2 (* -1/6 b))) 1)))))) |
#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) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* b (- (* 1/48 (pow a 2)) 1/4)))) |
#s(approx (+ (* -1/48 b) 0) #s(hole binary64 (* -1/48 b))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 b)) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* b (+ 1 (+ (/ a b) (/ (log (+ (exp (neg a)) (exp (neg b)))) 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 (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (log (+ (exp (neg a)) (exp (* -1 b))))) b)) 1))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg a)) (exp (* -1 b)))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg a)) (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 (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/48 (pow a 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | a | @ | -inf | ((- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (log (+ (exp (neg b)) (exp (neg a)))) (+ (exp (neg b)) (exp (neg a))) (exp (neg b)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (- (* (+ (* -1/48 b) 0) (neg a)) 0) (* (+ (* -1/48 b) 0) (neg a)) (+ (* -1/48 b) 0) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (exp (neg a)) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log 2)) |
| 41.0ms | a | @ | inf | ((- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (log (+ (exp (neg b)) (exp (neg a)))) (+ (exp (neg b)) (exp (neg a))) (exp (neg b)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (- (* (+ (* -1/48 b) 0) (neg a)) 0) (* (+ (* -1/48 b) 0) (neg a)) (+ (* -1/48 b) 0) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (exp (neg a)) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log 2)) |
| 39.0ms | b | @ | inf | ((- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (log (+ (exp (neg b)) (exp (neg a)))) (+ (exp (neg b)) (exp (neg a))) (exp (neg b)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (- (* (+ (* -1/48 b) 0) (neg a)) 0) (* (+ (* -1/48 b) 0) (neg a)) (+ (* -1/48 b) 0) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (exp (neg a)) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log 2)) |
| 26.0ms | b | @ | -inf | ((- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (log (+ (exp (neg b)) (exp (neg a)))) (+ (exp (neg b)) (exp (neg a))) (exp (neg b)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (- (* (+ (* -1/48 b) 0) (neg a)) 0) (* (+ (* -1/48 b) 0) (neg a)) (+ (* -1/48 b) 0) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (exp (neg a)) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log 2)) |
| 17.0ms | b | @ | 0 | ((- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (log (+ (exp (neg b)) (exp (neg a)))) (+ (exp (neg b)) (exp (neg a))) (exp (neg b)) (log (+ (exp a) (exp b))) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (* 1/2 b) (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (- (* (+ (* -1/48 b) 0) (neg a)) 0) (* (+ (* -1/48 b) 0) (neg a)) (+ (* -1/48 b) 0) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (exp (neg a)) (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (log (+ (exp a) (exp b))) (log 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 506 | 2754 |
| 1 | 1273 | 2684 |
| 2 | 4456 | 2658 |
| 0 | 8353 | 2414 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (log (+ 1 (exp (neg b))))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- 1 (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #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 (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #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 (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ 1 (exp (neg b)))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* -1 (/ a (+ 1 (exp (neg b)))))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #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 (+ (exp (neg b)) (exp (neg a)))) #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 b)) (exp (neg a))) #s(hole binary64 (+ 1 (exp (neg b))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* -1 a))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* 1/2 a) 1)))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))) |
#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 (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* -1/4 b))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (+ (* -1/4 b) (* 1/48 (* (pow a 2) b))))) |
#s(approx (- (* (+ (* -1/48 b) 0) (neg a)) 0) #s(hole binary64 (* 1/48 (* a b)))) |
#s(approx (* (+ (* -1/48 b) 0) (neg a)) #s(hole binary64 (* 1/48 (* a b)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
#s(approx (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 (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 a)) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* a (+ 1 (+ (/ b a) (/ (log (+ (exp (neg a)) (exp (neg b)))) a)))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg a)) (exp (neg b)))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg a)) (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 (/ b (+ (exp a) 1)) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* 1/48 (* (pow a 2) b)))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b))))) |
#s(approx (log (+ 1 (exp a))) #s(hole binary64 (log (+ 1 (exp a))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* 1/8 (pow a 2)))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2))))))) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* 1/8 a))) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* a (+ 1/8 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* -1/192 (pow a 4)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1/192 (pow a 3)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)))) |
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a)))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (log (+ (exp (neg b)) (exp (* -1 a))))) a)) 1))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg b)) (exp (* -1 a)))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg b)) (exp (* -1 a))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a)))))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2)))))))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2)))))))) |
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -1 a)))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (log (+ 1 (exp (neg a))))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- 1 (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #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 (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #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 (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ 1 (exp (neg a)))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* -1 (/ b (+ 1 (exp (neg a)))))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #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 (+ (exp (neg b)) (exp (neg a)))) #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 (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (exp (neg a))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* -1 b))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* 1/2 b) 1)))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* b (+ 1/2 (* -1/6 b))) 1)))))) |
#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) #s(hole binary64 (* 1/2 b))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* b (- (* 1/48 (pow a 2)) 1/4)))) |
#s(approx (+ (* -1/48 b) 0) #s(hole binary64 (* -1/48 b))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 b)) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* b (+ 1 (+ (/ a b) (/ (log (+ (exp (neg a)) (exp (neg b)))) 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 (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (log (+ (exp (neg a)) (exp (* -1 b))))) b)) 1))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg a)) (exp (* -1 b)))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg a)) (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 (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/48 (pow a 2))))))) |
| Outputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (log (+ 1 (exp (neg b))))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ b (+ (log (+ 1 (exp (neg b)))) (* a (- 1 (/ 1 (+ 1 (exp (neg b)))))))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (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 (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #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 (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (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 (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #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 (neg b)) (exp (neg a)))) (neg (+ b a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 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 (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ 1 (exp (neg b)))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (log1p.f64 (exp.f64 (neg.f64 b)))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg b)))) (* -1 (/ a (+ 1 (exp (neg b)))))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 b))) (/.f64 a (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #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 (+ (exp (neg b)) (exp (neg a)))) (fma.f64 (-.f64 (*.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 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 (neg.f64 b))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #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 (log (+ (exp (neg b)) (exp (neg a)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 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 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 (neg.f64 b))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (exp (neg b))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* -1 a))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) (-.f64 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)) a)) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* 1/2 a) 1)))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) (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 (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg b)) (* a (- (* a (+ 1/2 (* -1/6 a))) 1)))))) |
#s(approx (+ (exp (neg b)) (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 (+.f64 (exp.f64 (neg.f64 b)) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) #s(hole binary64 (log (+ 1 (exp b))))) |
#s(approx (log (+ (exp a) (exp b))) (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 (/.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 1/2 binary64) a) (/.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 (fma.f64 (*.f64 #s(literal 1/48 binary64) a) b #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)) #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 0 binary64) a (*.f64 #s(literal -1/4 binary64) b)) 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 (*.f64 b (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64))) a (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* -1/4 b))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (*.f64 #s(literal -1/4 binary64) b)) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (+ (* -1/4 b) (* 1/48 (* (pow a 2) b))))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (*.f64 b (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64)))) |
#s(approx (- (* (+ (* -1/48 b) 0) (neg a)) 0) #s(hole binary64 (* 1/48 (* a b)))) |
#s(approx (- (* (+ (* -1/48 b) 0) (neg a)) 0) (*.f64 #s(literal 1/48 binary64) (*.f64 a b))) |
#s(approx (* (+ (* -1/48 b) 0) (neg a)) #s(hole binary64 (* 1/48 (* a b)))) |
#s(approx (- (* (+ (* -1/48 b) 0) (neg a)) 0) (*.f64 #s(literal 1/48 binary64) (*.f64 a 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 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/8 a) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a)))) |
#s(approx (+ (* 1/8 a) 1/2) (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (log 2))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (log.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 a)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* 1/8 a)))))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* 1/8 a)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64))) |
#s(approx (exp (neg a)) #s(hole binary64 1)) |
#s(approx (exp (neg a)) #s(literal 1 binary64)) |
#s(approx (exp (neg a)) #s(hole binary64 (+ 1 (* -1 a)))) |
#s(approx (exp (neg a)) (-.f64 #s(literal 1 binary64) a)) |
#s(approx (exp (neg a)) #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)) #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 b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 a)) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) a) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* a (+ 1 (+ (/ b a) (/ (log (+ (exp (neg a)) (exp (neg b)))) a)))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) b) a) a a)) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg a)) (exp (neg b)))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg a)) (exp (neg b))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) |
#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 (+ (/ 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 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) |
#s(approx (/ b (+ (exp a) 1)) #s(hole binary64 (/ b (+ 1 (exp a))))) |
#s(approx (/ b (+ (exp a) 1)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* 1/48 (* (pow a 2) b)))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (*.f64 (*.f64 (*.f64 a a) b) #s(literal 1/48 binary64))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* (pow a 2) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b))))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) b)) a) 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 (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* 1/8 (pow a 2)))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a)) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a)) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2))))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1/8 binary64)) (*.f64 a a))) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* 1/8 a))) |
#s(approx (+ (* 1/8 a) 1/2) (*.f64 #s(literal 1/8 binary64) a)) |
#s(approx (+ (* 1/8 a) 1/2) #s(hole binary64 (* a (+ 1/8 (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* 1/8 a) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a)) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* -1/192 (pow a 4)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/192 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a) (/.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1/192 (pow a 3)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/192 binary64))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (*.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (exp (neg a)) #s(hole binary64 (exp (neg a)))) |
#s(approx (exp (neg a)) (exp.f64 (neg.f64 a))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (log (+ (exp (neg b)) (exp (* -1 a))))) a)) 1))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (*.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 (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg b)) (exp (* -1 a)))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg b)) (exp (* -1 a))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a)))))) |
#s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1/8 binary64)) (*.f64 a a))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) #s(hole binary64 (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192)))) |
#s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1/8 binary64)) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2)))))))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (-.f64 #s(literal 1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a a))))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(hole binary64 (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2)))))))) |
#s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (-.f64 #s(literal 1/192 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a)))) |
#s(approx (exp (neg a)) #s(hole binary64 (exp (* -1 a)))) |
#s(approx (exp (neg a)) (exp.f64 (neg.f64 a))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (log (+ 1 (exp (neg a))))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 a))) a)) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (+ a (+ (log (+ 1 (exp (neg a)))) (* b (- 1 (/ 1 (+ 1 (exp (neg a)))))))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (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 (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #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 (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (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 (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #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 (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.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 (-.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 (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ 1 (exp (neg a)))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (log1p.f64 (exp.f64 (neg.f64 a)))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (+ (log (+ 1 (exp (neg a)))) (* -1 (/ b (+ 1 (exp (neg a)))))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (-.f64 (log1p.f64 (exp.f64 (neg.f64 a))) (/.f64 b (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) #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 (+ (exp (neg b)) (exp (neg a)))) (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 (+ (exp (neg b)) (exp (neg a)))) #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 (+ (exp (neg b)) (exp (neg a)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.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 (-.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 (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (exp (neg a))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* -1 b))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) (-.f64 (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)) b)) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* 1/2 b) 1)))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal -1 binary64)) b (+.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64)))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ 1 (+ (exp (neg a)) (* b (- (* b (+ 1/2 (* -1/6 b))) 1)))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) (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 (neg.f64 a)) #s(literal 1 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 #s(literal 1 binary64) (exp.f64 a))) (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 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) 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 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) 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) #s(hole binary64 (* 1/2 b))) |
#s(approx (* 1/2 b) (*.f64 #s(literal 1/2 binary64) b)) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* b (- (* 1/48 (pow a 2)) 1/4)))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) b)) |
#s(approx (+ (* -1/48 b) 0) #s(hole binary64 (* -1/48 b))) |
#s(approx (+ (* -1/48 b) 0) (*.f64 #s(literal -1/48 binary64) b)) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 b)) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* b (+ 1 (+ (/ a b) (/ (log (+ (exp (neg a)) (exp (neg b)))) b)))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) a) b) b 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 #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 (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (log (+ (exp (neg a)) (exp (* -1 b))))) b)) 1))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (*.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 (+ (exp (neg b)) (exp (neg a)))) #s(hole binary64 (log (+ (exp (neg a)) (exp (* -1 b)))))) |
#s(approx (log (+ (exp (neg b)) (exp (neg a)))) (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) #s(hole binary64 (+ (exp (neg a)) (exp (* -1 b))))) |
#s(approx (+ (exp (neg b)) (exp (neg a))) (+.f64 (exp.f64 (neg.f64 a)) (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 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 b))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) #s(hole binary64 (* -1 (* b (+ 1/4 (* -1/48 (pow a 2))))))) |
#s(approx (+ (* (- (* (+ (* -1/48 b) 0) (neg a)) 0) a) (* -1/4 b)) (*.f64 b (fma.f64 (*.f64 #s(literal 1/48 binary64) a) a #s(literal -1/4 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 361 |
| 0 | 86 | 344 |
| 0 | 347 | 328 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) |
(log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) |
(+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))) |
(exp.f64 (neg.f64 b)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) |
(fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(exp.f64 (neg.f64 a)) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
(log.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))))) (*.f64 (neg.f64 (+.f64 a b)) (neg.f64 (+.f64 a b)))) (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) (neg.f64 (+.f64 a b)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 a b)) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) (fma.f64 (neg.f64 (+.f64 a b)) (neg.f64 (+.f64 a b)) (*.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) (neg.f64 (+.f64 a b)))))) |
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) (neg.f64 (+.f64 a b))) |
(log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 b))) (*.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 a)))) (-.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 b)) (-.f64 (*.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 a))) (*.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))))) |
(+.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 b))) |
(+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a))) |
(/.f64 #s(literal 1 binary64) (exp.f64 b)) |
(-.f64 (cosh.f64 b) (sinh.f64 b)) |
(exp.f64 (neg.f64 b)) |
(+.f64 (cosh.f64 (neg.f64 b)) (sinh.f64 (neg.f64 b))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
(*.f64 b #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a)) (*.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) (*.f64 #s(literal -1/4 binary64) b))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 #s(literal -1/4 binary64) b)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) (*.f64 #s(literal -1/4 binary64) b))))) |
(fma.f64 #s(literal -1/4 binary64) b (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a (*.f64 #s(literal -1/4 binary64) b)) |
(fma.f64 a (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) (*.f64 #s(literal -1/4 binary64) b)) |
(fma.f64 b #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a)) |
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) (*.f64 #s(literal 1/4 binary64) b)) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a) (*.f64 #s(literal -1/4 binary64) b)) |
(+.f64 (*.f64 #s(literal -1/4 binary64) b) (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a)) |
(*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) |
(*.f64 (neg.f64 a) (*.f64 #s(literal -1/48 binary64) b)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a))) #s(literal 0 binary64)) (fma.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a) #s(literal 0 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) #s(literal 0 binary64))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) a)) |
(-.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) #s(literal 0 binary64)) |
(*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) |
(*.f64 (neg.f64 a) (*.f64 #s(literal -1/48 binary64) b)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a))) #s(literal 0 binary64)) (fma.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a) #s(literal 0 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) #s(literal 0 binary64))))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) a)) |
(-.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) #s(literal 0 binary64)) |
(*.f64 #s(literal -1/48 binary64) b) |
(*.f64 b #s(literal -1/48 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (*.f64 #s(literal -1/48 binary64) b)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal -1/48 binary64) b) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) b) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 #s(literal -1/48 binary64) b) (*.f64 #s(literal -1/48 binary64) b) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/48 binary64) b) #s(literal 0 binary64))))) |
(fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) |
(fma.f64 b #s(literal -1/48 binary64) #s(literal 0 binary64)) |
(+.f64 (*.f64 #s(literal -1/48 binary64) b) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/48 binary64) b)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#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)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 a (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) a) (*.f64 #s(literal 1/8 binary64) a)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) a) (*.f64 #s(literal 1/8 binary64) a) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) |
(fma.f64 a #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 #s(literal 1/8 binary64) a) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) a)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a) (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 a (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a)) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a) #s(literal 1/2 binary64))))) |
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(fma.f64 a (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a)) |
(/.f64 #s(literal 1 binary64) (exp.f64 a)) |
(-.f64 (cosh.f64 a) (sinh.f64 a)) |
(exp.f64 (neg.f64 a)) |
(+.f64 (cosh.f64 (neg.f64 a)) (sinh.f64 (neg.f64 a))) |
#s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) b) (neg.f64 a)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
(log.f64 #s(literal 2 binary64)) |
Compiled 6 269 to 924 computations (85.3% saved)
18 alts after pruning (11 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 175 | 7 | 182 |
| Fresh | 5 | 4 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 183 | 18 | 201 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.7% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 50.3% | #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) | |
| 54.3% | #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) | |
| 48.7% | #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) | |
| 48.8% | #s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) | |
| ✓ | 50.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| 48.6% | #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))))) | |
| 46.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| ✓ | 48.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| ✓ | 48.9% | #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))))) |
| ✓ | 12.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
| ✓ | 48.0% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
| ✓ | 48.3% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
| 47.8% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| 48.3% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))) | |
| 23.3% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1/8 binary64)) (*.f64 a a))))) | |
| 2.6% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a)))) | |
| 3.4% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a)))) |
Compiled 1 223 to 546 computations (55.4% saved)
| Inputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (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)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 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 (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
(log.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)) (*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))) (exp.f64 (+.f64 (neg.f64 a) (neg.f64 b))))) |
(-.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))))) |
| 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:
| 30.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 9.0ms | b |
| 9.0ms | a |
| 7.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 7.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | (exp.f64 b) |
| 99.0% | 1 | (exp.f64 a) |
| 99.0% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 99.0% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 99.0% | 1 | a |
| 99.0% | 1 | b |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (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)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 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 (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) |
| Outputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
(-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a))) |
6 calls:
| 15.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 9.0ms | b |
| 9.0ms | a |
| 7.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 7.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.7% | 1 | (exp.f64 b) |
| 99.9% | 2 | (exp.f64 a) |
| 99.1% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 99.1% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 99.9% | 2 | a |
| 67.9% | 2 | b |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (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)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 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 (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (+.f64 (sinh.f64 a) (cosh.f64 a)))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
2 calls:
| 17.0ms | (exp.f64 a) |
| 8.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | (exp.f64 a) |
| 99.2% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (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)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 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 (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.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))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 a)) (sinh.f64 a))))) |
| Outputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) 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))))) |
2 calls:
| 8.0ms | a |
| 6.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | (exp.f64 a) |
| 99.1% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (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)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 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 (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.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))))) |
| Outputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64))))) |
4 calls:
| 11.0ms | a |
| 6.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 6.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 5.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 99.4% | 3 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 99.0% | 2 | (exp.f64 a) |
| 99.0% | 2 | a |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (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)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 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 (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1/8 binary64)) (*.f64 a a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) (+.f64 (log1p.f64 (exp.f64 (neg.f64 b))) b)) |
| Outputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
2 calls:
| 10.0ms | a |
| 5.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | (exp.f64 a) |
| 99.0% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (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)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 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 (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (/ (+ (* 1 (exp (neg b))) (* (exp (neg a)) 1)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) a) #s(literal 1/2 binary64)) a) #s(literal -1/8 binary64)) (*.f64 a a))))) |
| Outputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
2 calls:
| 6.0ms | a |
| 4.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | (exp.f64 a) |
| 98.3% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (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)) (exp (+ (neg a) (neg b))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a) (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 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 (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
2 calls:
| 5.0ms | a |
| 4.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 2 | (exp.f64 a) |
| 98.2% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
4 calls:
| 25.0ms | a |
| 3.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 3.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 98.4% | 3 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 97.7% | 2 | (exp.f64 a) |
| 97.7% | 2 | a |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
| Outputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) 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 |
|---|---|---|
| 97.7% | 2 | (exp.f64 a) |
| 97.7% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
2 calls:
| 3.0ms | a |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | (exp.f64 a) |
| 97.3% | 2 | a |
Compiled 3 to 5 computations (-66.7% saved)
Total -33.5b remaining (-114.6%)
Threshold costs -33.5b (-114.6%)
| Inputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 #s(literal 1/8 binary64) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) (/.f64 b #s(approx (+ (exp a) 1) (-.f64 a #s(literal -2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1/8 binary64)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (- (exp a) -1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ (exp a) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) b #s(literal 0 binary64)) (neg.f64 a)) #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b))))) |
| Outputs |
|---|
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
6 calls:
| 16.0ms | (exp.f64 b) |
| 2.0ms | a |
| 2.0ms | b |
| 2.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 2.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.3% | 1 | (exp.f64 b) |
| 54.3% | 1 | b |
| 54.3% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 54.3% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 54.3% | 1 | (exp.f64 a) |
| 54.3% | 1 | a |
Compiled 17 to 21 computations (-23.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | -1223.0935506880153 | -20.29548152868699 |
| 15.0ms | 105× | 1 | valid |
| 0.0ms | 7× | 0 | valid |
Compiled 205 to 186 computations (9.3% saved)
ival-exp: 5.0ms (41.6% of total)ival-log: 4.0ms (33.3% of total)adjust: 2.0ms (16.6% of total)ival-add: 1.0ms (8.3% 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 |
|---|---|---|
| 18.0ms | -20.29548152868699 | -9.726324856631733 |
| 14.0ms | 75× | 1 | valid |
| 0.0ms | 5× | 0 | valid |
Compiled 169 to 146 computations (13.6% saved)
ival-log: 7.0ms (57.6% of total)ival-exp: 3.0ms (24.7% of total)adjust: 2.0ms (16.5% of total)ival-add: 1.0ms (8.2% 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 |
|---|---|---|
| 1.0ms | -20.29548152868699 | -9.726324856631733 |
Compiled 154 to 136 computations (11.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -20.29548152868699 | -9.726324856631733 |
Compiled 134 to 126 computations (6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -20.29548152868699 | -9.726324856631733 |
Compiled 134 to 126 computations (6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | -9.726324856631733 | -1.8854146075399958 |
| 5.0ms | 96× | 0 | valid |
Compiled 255 to 215 computations (15.7% saved)
ival-exp: 2.0ms (63.9% of total)ival-log: 1.0ms (32% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | -20.29548152868699 | -9.726324856631733 |
| 3.0ms | 54× | 0 | valid |
| 2.0ms | 10× | 1 | valid |
Compiled 189 to 166 computations (12.2% saved)
ival-exp: 1.0ms (28.4% of total)ival-log: 1.0ms (28.4% of total)adjust: 0.0ms (0% of total)ival-add: 0.0ms (0% 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 |
|---|---|---|
| 10.0ms | -1.8854146075399958 | -0.026395039700642463 |
| 6.0ms | 112× | 0 | valid |
Compiled 240 to 214 computations (10.8% saved)
ival-exp: 2.0ms (57.8% of total)ival-log: 1.0ms (28.9% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | -1.8854146075399958 | -0.026395039700642463 |
| 3.0ms | 64× | 0 | valid |
Compiled 212 to 186 computations (12.3% saved)
ival-exp: 1.0ms (49.1% of total)ival-log: 1.0ms (49.1% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -20.29548152868699 | -9.726324856631733 |
Compiled 144 to 131 computations (9% saved)
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 377 |
| 1 | 137 | 376 |
| 2 | 215 | 376 |
| 3 | 537 | 376 |
| 4 | 2245 | 365 |
| 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 -33 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a)))) |
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))) |
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) 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)))))) |
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))) |
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))) |
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))) |
(if (<=.f64 a #s(literal -3152519739159347/281474976710656 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))) |
(if (<=.f64 a #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) 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)))))) |
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) 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 -3152519739159347/281474976710656 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) 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 -33 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (-.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (neg.f64 (+.f64 b a)))) |
(if (<=.f64 a #s(literal -33 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (+.f64 (log.f64 (+.f64 (exp.f64 (neg.f64 b)) (exp.f64 (neg.f64 a)))) (+.f64 b a))) |
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))))) |
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) 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)))))) |
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (-.f64 b #s(literal -1 binary64)))))) |
(if (<=.f64 a #s(literal -20 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a)))) |
(if (<=.f64 a #s(literal -5854679515581645/2251799813685248 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))) |
(if (<=.f64 a #s(literal -3152519739159347/281474976710656 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))) |
(if (<=.f64 a #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) 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)))))) |
(if (<=.f64 a #s(literal -1 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) 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 -3152519739159347/281474976710656 binary64)) #s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))))) |
#s(approx (- (log (+ (exp (neg b)) (exp (neg a)))) (neg (+ b a))) b) |
| 1× | fuel |
Compiled 376 to 98 computations (73.9% saved)
Compiled 826 to 254 computations (69.2% saved)
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