
Time bar (total: 10.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 6 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 7 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 8 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 9 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 10 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 11 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 8 computations (0% saved)
| 2.0s | 6 831× | 5 | exit |
| 839.0ms | 1 520× | 2 | valid |
| 813.0ms | 2 339× | 1 | valid |
| 323.0ms | 4 397× | 0 | valid |
| 96.0ms | 923× | 1 | exit |
ival-log: 1.1s (37.9% of total)ival-exp: 905.0ms (31.1% of total)adjust: 575.0ms (19.7% of total)ival-add: 307.0ms (10.5% of total)ival-true: 14.0ms (0.5% of total)ival-assert: 7.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 124 | 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 | 119 | 0 |
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | oflow-rescue | 5 | 0 |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | overflow | 5 | |
| ↳ | (exp.f64 a) | overflow | 4 | |
| ↳ | (exp.f64 b) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 124 | 0 |
| - | 0 | 132 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 124 | 0 | 0 |
| - | 0 | 0 | 132 |
| number | freq |
|---|---|
| 0 | 132 |
| 1 | 124 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 115.0ms | 70× | 2 | valid |
| 31.0ms | 158× | 1 | valid |
| 18.0ms | 284× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-exp: 83.0ms (56.9% of total)ival-log: 53.0ms (36.3% of total)adjust: 4.0ms (2.7% of total)ival-add: 4.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 36 |
| 1 | 32 | 36 |
| 2 | 46 | 36 |
| 3 | 55 | 36 |
| 4 | 66 | 36 |
| 5 | 83 | 36 |
| 6 | 98 | 36 |
| 7 | 106 | 36 |
| 8 | 109 | 36 |
| 0 | 6 | 6 |
| 0 | 10 | 6 |
| 1 | 11 | 6 |
| 0 | 11 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(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 |
|---|---|---|
| ▶ | 55.6% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 6 to 6 computations (0% saved)
| 1× | egg-herbie |
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 | 11 | 17 |
| 0 | 11 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 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 b) (exp.f64 a))) |
(+.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 | (exp.f64 b) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| accuracy | 28.43170832931145 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 19.0ms | 79× | 1 | valid |
| 18.0ms | 35× | 2 | valid |
| 9.0ms | 142× | 0 | valid |
Compiled 36 to 14 computations (61.1% saved)
ival-log: 20.0ms (55.9% of total)ival-exp: 11.0ms (30.8% of total)adjust: 2.0ms (5.6% 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 |
|---|
#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (exp.f64 a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 70.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 28.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 15.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 14.0ms | a | @ | inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 1.0ms | b | @ | 0 | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 564 |
| 1 | 274 | 564 |
| 2 | 753 | 556 |
| 3 | 2519 | 548 |
| 0 | 8540 | 500 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (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)))))) |
(+ 1 (exp a)) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (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)))))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
| Outputs |
|---|
(log1p.f64 (exp.f64 a)) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (*.f64 b (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))))) b)))) b (log1p.f64 (exp.f64 a))) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+.f64 (+.f64 (exp.f64 a) b) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(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(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) b) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 b) |
(exp.f64 b) |
(exp.f64 b) |
(exp.f64 b) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 b) |
(exp.f64 b) |
(exp.f64 b) |
(exp.f64 b) |
(log1p.f64 (exp.f64 b)) |
(+.f64 (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) a)) a (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (*.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))))) a)))) a (log1p.f64 (exp.f64 b))) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) a) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 24 | 15 |
| 2 | 150 | 15 |
| 0 | 1409 | 15 |
| 1× | iter limit |
| 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 |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
Compiled 3 100 to 415 computations (86.6% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 140 | 9 | 149 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 140 | 10 | 150 |
| Status | Accuracy | Program |
|---|---|---|
| 55.2% | (-.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))))) | |
| ▶ | 55.6% | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
| ✓ | 55.6% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 53.9% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) | |
| ▶ | 53.6% | (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))))) |
| 52.9% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| ▶ | 51.8% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
| ▶ | 97.5% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
| 51.8% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) | |
| ▶ | 50.9% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
Compiled 244 to 198 computations (18.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (exp.f64 b) (exp.f64 a)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) | |
| cost-diff | 256 | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) | |
| cost-diff | 576 | (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) | |
| 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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 174 |
| 0 | 48 | 172 |
| 1 | 64 | 170 |
| 2 | 77 | 170 |
| 3 | 114 | 170 |
| 4 | 148 | 170 |
| 5 | 159 | 170 |
| 6 | 165 | 170 |
| 0 | 165 | 170 |
| 1× | iter limit |
| 1× | saturated |
| 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) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 b) |
b |
(exp.f64 a) |
a |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
b |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(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 (exp.f64 b) #s(approx (exp a) #s(literal 1 binary64)))) |
(+.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 #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 #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 (exp.f64 b) (exp.f64 a))) |
(neg.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
#s(literal 1 binary64) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 b) |
b |
(exp.f64 a) |
a |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 b) (exp.f64 a)) | |
| accuracy | 0.046875 | (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) | |
| accuracy | 28.386144085597174 | (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)))) | |
| accuracy | 2.6373399164240747 | #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) | |
| accuracy | 28.43170832931145 | (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 | (exp.f64 b) | |
| accuracy | 0.0078125 | (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) | |
| accuracy | 28.43170832931145 | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) | |
| accuracy | 30.832492991345426 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.00390625 | (log1p.f64 (exp.f64 a)) | |
| accuracy | 31.395335720839586 | #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 | (log1p.f64 (exp.f64 a)) | |
| accuracy | 0.0078125 | (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| accuracy | 1.5798579454365933 | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
| 89.0ms | 142× | 0 | valid |
| 43.0ms | 35× | 2 | valid |
| 36.0ms | 79× | 1 | valid |
Compiled 314 to 50 computations (84.1% saved)
ival-log: 40.0ms (49.4% of total)ival-exp: 12.0ms (14.8% of total)ival-add: 10.0ms (12.3% of total)adjust: 7.0ms (8.6% of total)ival-div: 5.0ms (6.2% of total)ival-mult: 3.0ms (3.7% of total)ival-log1p: 2.0ms (2.5% of total)ival-neg: 2.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (exp.f64 a) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (exp.f64 a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (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))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.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)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (exp.f64 b) (exp.f64 a)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 b) (exp.f64 a)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 86.0ms | 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) (log (/ 1 (+ (exp b) (exp a)))) (neg (log (/ 1 (+ (exp b) (exp a))))) (/ 1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (+ (* (+ (* 1/2 b) 1) b) 1)) |
| 48.0ms | 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) (log (/ 1 (+ (exp b) (exp a)))) (neg (log (/ 1 (+ (exp b) (exp a))))) (/ 1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (+ (* (+ (* 1/2 b) 1) b) 1)) |
| 27.0ms | 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) (log (/ 1 (+ (exp b) (exp a)))) (neg (log (/ 1 (+ (exp b) (exp a))))) (/ 1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (+ (* (+ (* 1/2 b) 1) b) 1)) |
| 26.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ (exp a) 1)) (+ (exp a) 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (/ 1 (+ (exp b) (exp a)))) (neg (log (/ 1 (+ (exp b) (exp a))))) (/ 1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (+ (* (+ (* 1/2 b) 1) b) 1)) |
| 26.0ms | 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))) (+ (exp a) (exp b)) (exp a) (exp b) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (log (/ 1 (+ (exp b) (exp a)))) (neg (log (/ 1 (+ (exp b) (exp a))))) (/ 1 (+ (exp b) (exp a))) (+ (exp b) (exp a)) (+ (* (+ (* 1/2 b) 1) b) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 304 | 3969 |
| 1 | 858 | 3934 |
| 2 | 2583 | 3891 |
| 0 | 8245 | 3555 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (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)))))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (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)))))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (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)))))) |
(+ 1 (exp a)) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (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)))))) |
(+ 1 (exp a)) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(log (/ 1 (+ 1 (exp a)))) |
(+ (log (/ 1 (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))) |
(+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* 1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (log (/ 1 (+ 1 (exp a)))) (* b (- (* b (+ (* 1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a)))))) |
(* -1 (log (/ 1 (+ 1 (exp a))))) |
(- (/ b (+ 1 (exp a))) (log (/ 1 (+ 1 (exp a))))) |
(- (* b (+ (* -1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(- (* b (+ (* b (- (* -1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(/ 1 (+ 1 (exp a))) |
(+ (* -1 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a)))) |
(+ (* b (- (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a)))) |
(+ (* b (- (* b (- (+ (* b (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4))))) (/ 1 (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (pow (+ 1 (exp a)) 2)))) (/ 1 (+ 1 (exp a)))) |
(+ 1 (exp a)) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (+ 1 (exp a))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(log (/ 1 (+ (exp a) (exp b)))) |
(log (/ 1 (+ (exp a) (exp b)))) |
(log (/ 1 (+ (exp a) (exp b)))) |
(log (/ 1 (+ (exp a) (exp b)))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(/ 1 (+ (exp a) (exp b))) |
(/ 1 (+ (exp a) (exp b))) |
(/ 1 (+ (exp a) (exp b))) |
(/ 1 (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2))))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (+ 1 (exp a))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(log (/ 1 (+ (exp a) (exp b)))) |
(log (/ 1 (+ (exp a) (exp b)))) |
(log (/ 1 (+ (exp a) (exp b)))) |
(log (/ 1 (+ (exp a) (exp b)))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(/ 1 (+ (exp a) (exp b))) |
(/ 1 (+ (exp a) (exp b))) |
(/ 1 (+ (exp a) (exp b))) |
(/ 1 (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 1 (pow b 2))))) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (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)))))) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(+ (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))))) |
(* 1/2 b) |
(+ (* -1/4 (* a b)) (* 1/2 b)) |
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(+ (* 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)))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (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)))))) |
(log 2) |
(+ (log 2) (* 1/2 a)) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (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)))))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (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)))))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(log (/ 1 (+ 1 (exp b)))) |
(+ (log (/ 1 (+ 1 (exp b)))) (* -1 (/ a (+ 1 (exp b))))) |
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* 1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (log (/ 1 (+ 1 (exp b)))) (* a (- (* a (+ (* 1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b)))))) |
(* -1 (log (/ 1 (+ 1 (exp b))))) |
(- (/ a (+ 1 (exp b))) (log (/ 1 (+ 1 (exp b))))) |
(- (* a (+ (* -1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(- (* a (+ (* a (- (* -1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(/ 1 (+ 1 (exp b))) |
(+ (* -1 (/ a (pow (+ 1 (exp b)) 2))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (* a (- (+ (* a (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4))))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(log (/ 1 (+ (exp a) (exp b)))) |
(log (/ 1 (+ (exp a) (exp b)))) |
(log (/ 1 (+ (exp a) (exp b)))) |
(log (/ 1 (+ (exp a) (exp b)))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(/ 1 (+ (exp a) (exp b))) |
(/ 1 (+ (exp a) (exp b))) |
(/ 1 (+ (exp a) (exp b))) |
(/ 1 (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(log (/ 1 (+ (exp a) (exp b)))) |
(log (/ 1 (+ (exp a) (exp b)))) |
(log (/ 1 (+ (exp a) (exp b)))) |
(log (/ 1 (+ (exp a) (exp b)))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(/ 1 (+ (exp a) (exp b))) |
(/ 1 (+ (exp a) (exp b))) |
(/ 1 (+ (exp a) (exp b))) |
(/ 1 (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
| Outputs |
|---|
(log1p.f64 (exp.f64 a)) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 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 #s(literal 1 binary64) (exp.f64 a))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) b) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(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)) |
(log1p.f64 (exp.f64 a)) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 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 #s(literal 1 binary64) (exp.f64 a))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) b) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(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)) |
(neg.f64 (log1p.f64 (exp.f64 a))) |
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(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) a) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(log1p.f64 (exp.f64 b)) |
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(neg.f64 (log1p.f64 (exp.f64 b))) |
(neg.f64 (+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (neg.f64 (log1p.f64 (exp.f64 b)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 6 binary64) (exp.f64 b) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) a) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (neg.f64 (log1p.f64 (exp.f64 b)))) |
(log1p.f64 (exp.f64 b)) |
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (-.f64 (fma.f64 (fma.f64 #s(literal 6 binary64) (exp.f64 b) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(neg.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(neg.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(neg.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(neg.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(neg.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(neg.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(neg.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(neg.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 146 |
| 0 | 48 | 144 |
| 1 | 174 | 142 |
| 2 | 1303 | 142 |
| 0 | 8316 | 142 |
| 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))) |
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 24 568 to 2 547 computations (89.6% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 973 | 13 | 986 |
| Fresh | 4 | 0 | 4 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 982 | 14 | 996 |
| Status | Accuracy | Program |
|---|---|---|
| 52.9% | (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) (exp a))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) | |
| ✓ | 55.6% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 50.8% | (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))))) | |
| ▶ | 50.5% | (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))))) |
| ▶ | 51.8% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
| ▶ | 97.5% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) |
| 60.6% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) | |
| 47.9% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| ▶ | 49.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| ▶ | 50.4% | #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))))) |
| 50.9% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) | |
| 49.4% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| 49.5% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| 49.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
Compiled 526 to 410 computations (22.1% saved)
| 1× | egg-herbie |
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 (neg (log (/ 1 (+ (exp b) (exp a))))) (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 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))) | |
| cost-diff | 7680 | (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 245 |
| 0 | 70 | 244 |
| 1 | 108 | 233 |
| 2 | 197 | 225 |
| 3 | 517 | 219 |
| 4 | 1725 | 213 |
| 5 | 5319 | 213 |
| 0 | 8118 | 213 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) |
(/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) |
b |
(*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))) |
(neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) |
(expm1.f64 (*.f64 a #s(literal 2 binary64))) |
(*.f64 a #s(literal 2 binary64)) |
a |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))) |
#s(literal 1 binary64) |
(neg.f64 (expm1.f64 a)) |
(expm1.f64 a) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(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 (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
b |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
b |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) |
(expm1.f64 (*.f64 #s(literal 2 binary64) a)) |
(*.f64 #s(literal 2 binary64) a) |
a |
#s(literal 2 binary64) |
(/.f64 #s(literal -1 binary64) (expm1.f64 a)) |
#s(literal 1 binary64) |
(neg.f64 (expm1.f64 a)) |
(expm1.f64 a) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(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 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 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 (+ (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 | (exp.f64 b) | |
| accuracy | 1.2299102928459835 | (log1p.f64 (exp.f64 b)) | |
| accuracy | 29.626017969457152 | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (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 | 2.6373399164240747 | #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) | |
| accuracy | 28.43170832931145 | (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 | 30.832492991345426 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0 | (log.f64 #s(literal 2 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) | |
| accuracy | 1.5798579454365933 | #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 | 30.319530161647133 | #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 | 30.832492991345426 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 31.395335720839586 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) | |
| accuracy | 0.0078125 | (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))) | |
| accuracy | 0.33593199386619266 | (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))) | |
| accuracy | 1.5798579454365933 | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) |
| 54.0ms | 35× | 2 | valid |
| 51.0ms | 79× | 1 | valid |
| 40.0ms | 142× | 0 | valid |
Compiled 447 to 81 computations (81.9% saved)
ival-log: 36.0ms (30.3% of total)ival-add: 22.0ms (18.5% of total)ival-exp: 13.0ms (10.9% of total)ival-div: 12.0ms (10.1% of total)adjust: 11.0ms (9.3% of total)ival-mult: 7.0ms (5.9% of total)ival-log1p: 7.0ms (5.9% of total)ival-expm1: 5.0ms (4.2% of total)ival-neg: 5.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #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))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (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))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.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)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log1p.f64 (exp.f64 b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.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)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.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)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.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)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.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)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log1p.f64 (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log1p.f64 (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log1p.f64 (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log1p.f64 (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | a | @ | inf | ((* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1)))) (/ 1 (neg (- (exp a) 1))) (log (+ (exp a) (exp b))) (+ (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1)))))) |
| 37.0ms | b | @ | inf | ((* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1)))) (/ 1 (neg (- (exp a) 1))) (log (+ (exp a) (exp b))) (+ (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1)))))) |
| 33.0ms | b | @ | -inf | ((* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1)))) (/ 1 (neg (- (exp a) 1))) (log (+ (exp a) (exp b))) (+ (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1)))))) |
| 24.0ms | a | @ | -inf | ((* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1)))) (/ 1 (neg (- (exp a) 1))) (log (+ (exp a) (exp b))) (+ (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1)))))) |
| 9.0ms | b | @ | 0 | ((* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1)))) (/ 1 (neg (- (exp a) 1))) (log (+ (exp a) (exp b))) (+ (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (log 2) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 341 | 3656 |
| 1 | 996 | 3549 |
| 2 | 3089 | 3504 |
| 0 | 8204 | 3144 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (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)))))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a))))))) |
(+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a))))))) |
(+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a))))))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (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)))))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (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)))))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(log 2) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (* 1/2 b)) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (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)))))) |
(+ 1 (exp a)) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(* -1 (log (/ 1 (+ 1 (exp a))))) |
(- (/ b (+ 1 (exp a))) (log (/ 1 (+ 1 (exp a))))) |
(- (* b (+ (* -1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(- (* b (+ (* b (- (* -1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(log 2) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (* b (+ 1/2 (* 1/8 b)))) |
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a)))))) |
(* b (- (+ (/ 1 (- 1 (exp (* 2 a)))) (/ (log (+ 1 (exp a))) b)) (/ (exp a) (- 1 (exp (* 2 a)))))) |
(* b (- (+ (/ 1 (- 1 (exp (* 2 a)))) (/ (log (+ 1 (exp a))) b)) (/ (exp a) (- 1 (exp (* 2 a)))))) |
(* b (- (+ (/ 1 (- 1 (exp (* 2 a)))) (/ (log (+ 1 (exp a))) b)) (/ (exp a) (- 1 (exp (* 2 a)))))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (+ 1 (exp a))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(* 1/2 b) |
(* b (+ 1/2 (/ (log 2) b))) |
(* b (+ 1/2 (/ (log 2) b))) |
(* b (+ 1/2 (/ (log 2) b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- 1 (exp a)) (- 1 (exp (* 2 a)))))))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- 1 (exp a)) (- 1 (exp (* 2 a)))))))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- 1 (exp a)) (- 1 (exp (* 2 a)))))))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (+ 1 (exp a))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* 1/2 b) |
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) |
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) |
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(/ -1 a) |
(/ (- (* 1/2 a) 1) a) |
(/ (- (* a (+ 1/2 (* -1/12 a))) 1) a) |
(/ (- (* a (+ 1/2 (* a (- (* 1/720 (pow a 2)) 1/12)))) 1) a) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (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)))))) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 1/4 b)) (* 1/2 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 1/4 b) (* a (- (+ 1/8 (+ (* 1/12 b) (* 1/2 b))) (+ (* 1/4 b) (* 1/3 b)))))) (* 1/2 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 1/4 b) (* a (- (+ 1/8 (+ (* 1/12 b) (+ (* 1/2 b) (* a (- (+ (* 1/48 b) (+ (* 1/4 b) (* 1/3 b))) (+ (* 1/12 b) (+ (* 1/6 b) (+ (* 1/2 b) (* 2/3 (- (* 1/4 b) (* 1/2 b))))))))))) (+ (* 1/4 b) (* 1/3 b)))))) (* 1/2 b))))) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (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)))))) |
(log 2) |
(+ (log 2) (* 1/2 a)) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (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)))))) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(+ (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))))) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (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)))))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(* -1 (log (/ 1 (+ 1 (exp b))))) |
(- (/ a (+ 1 (exp b))) (log (/ 1 (+ 1 (exp b))))) |
(- (* a (+ (* -1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(- (* a (+ (* a (- (* -1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(* 1/2 b) |
(+ (* 1/2 b) (* a (- (* 1/4 b) (* 1/2 b)))) |
(+ (* 1/2 b) (* a (- (+ (* 1/4 b) (* a (- (+ (* 1/12 b) (* 1/2 b)) (+ (* 1/4 b) (* 1/3 b))))) (* 1/2 b)))) |
(+ (* 1/2 b) (* a (- (+ (* 1/4 b) (* a (- (+ (* 1/12 b) (+ (* 1/2 b) (* a (- (+ (* 1/48 b) (+ (* 1/4 b) (* 1/3 b))) (+ (* 1/12 b) (+ (* 1/6 b) (+ (* 1/2 b) (* 2/3 (- (* 1/4 b) (* 1/2 b)))))))))) (+ (* 1/4 b) (* 1/3 b))))) (* 1/2 b)))) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/ 1 (- 1 (exp a))) |
(/ 1 (- 1 (exp a))) |
(/ 1 (- 1 (exp a))) |
(/ 1 (- 1 (exp a))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/ 1 (- 1 (exp a))) |
(/ 1 (- 1 (exp a))) |
(/ 1 (- 1 (exp a))) |
(/ 1 (- 1 (exp a))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
| Outputs |
|---|
(log1p.f64 (exp.f64 a)) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(log.f64 #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(log1p.f64 (exp.f64 a)) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 #s(literal 1 binary64) (exp.f64 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 #s(literal 1 binary64) (exp.f64 a))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) b) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(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)) |
(log1p.f64 (exp.f64 a)) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 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 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 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) (*.f64 (*.f64 #s(literal -1/6 binary64) b) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) #s(literal 6 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(log.f64 #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))) |
(fma.f64 (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(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) b) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(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)) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 #s(literal 1/2 binary64) b) |
(*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b) |
(*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b) |
(*.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) b) #s(literal 1/2 binary64)) b) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 b) |
(exp.f64 b) |
(exp.f64 b) |
(exp.f64 b) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log1p.f64 (exp.f64 b)) |
(log1p.f64 (exp.f64 b)) |
(log1p.f64 (exp.f64 b)) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
(exp.f64 b) |
(exp.f64 b) |
(exp.f64 b) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(fma.f64 (/.f64 (log1p.f64 (exp.f64 a)) b) b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 #s(literal 1/2 binary64) b) |
(*.f64 (neg.f64 b) (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b))) |
(*.f64 (neg.f64 b) (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b))) |
(*.f64 (neg.f64 b) (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 b) |
(exp.f64 b) |
(exp.f64 b) |
(exp.f64 b) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log1p.f64 (exp.f64 b)) |
(log1p.f64 (exp.f64 b)) |
(log1p.f64 (exp.f64 b)) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
(exp.f64 b) |
(exp.f64 b) |
(exp.f64 b) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
#s(literal 2 binary64) |
(+.f64 #s(literal 2 binary64) a) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) a) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/720 binary64) #s(literal -1/12 binary64)) a #s(literal 1/2 binary64)) a #s(literal -1 binary64)) a) |
(log1p.f64 (exp.f64 b)) |
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(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)))) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(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)))) |
(log1p.f64 (exp.f64 b)) |
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(log.f64 #s(literal 2 binary64)) |
(fma.f64 #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 (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(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) a) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(log1p.f64 (exp.f64 b)) |
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(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)))) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) b (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a b) #s(literal 1/48 binary64) #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)))) |
(log1p.f64 (exp.f64 b)) |
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) a) #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 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) (*.f64 (*.f64 #s(literal -1/6 binary64) a) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) #s(literal 6 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))))) a (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) a (log1p.f64 (exp.f64 b))) |
(*.f64 #s(literal 1/2 binary64) b) |
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 0 binary64)) a)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 #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 #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))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 #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 #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))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 196 |
| 0 | 70 | 187 |
| 1 | 270 | 164 |
| 2 | 2197 | 164 |
| 0 | 9402 | 164 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) |
#s(approx (exp a) #s(literal 1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(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 (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 b) |
(/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) |
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Compiled 19 017 to 1 954 computations (89.7% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 680 | 6 | 686 |
| Fresh | 2 | 6 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 684 | 16 | 700 |
| Status | Accuracy | Program |
|---|---|---|
| 52.9% | (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) (exp a))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) | |
| ✓ | 55.6% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| ✓ | 51.8% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
| ▶ | 50.2% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
| 50.8% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) | |
| 50.8% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #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))))) | |
| 52.1% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(approx (/ 1 (neg (- (exp a) 1))) (/.f64 #s(literal -1 binary64) a)))) (log1p.f64 (exp.f64 a)))) | |
| ▶ | 60.6% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
| 47.9% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| ✓ | 49.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| ✓ | 50.4% | #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))))) |
| ▶ | 50.9% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
| ▶ | 11.9% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
| 49.4% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| ▶ | 49.5% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
| 49.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
Compiled 618 to 478 computations (22.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 a)) | |
| cost-diff | 0 | (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) | |
| cost-diff | 0 | #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) | |
| 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 | 0 | (+.f64 #s(literal 1 binary64) b) | |
| cost-diff | 0 | #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) | |
| cost-diff | 0 | (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) | |
| cost-diff | 0 | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) b) | |
| cost-diff | 0 | #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) | |
| cost-diff | 0 | (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) | |
| cost-diff | 192 | (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) | |
| cost-diff | 12928 | (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 284 |
| 0 | 71 | 279 |
| 1 | 95 | 276 |
| 2 | 114 | 276 |
| 3 | 158 | 276 |
| 4 | 175 | 268 |
| 5 | 184 | 268 |
| 6 | 203 | 268 |
| 7 | 210 | 268 |
| 8 | 213 | 268 |
| 9 | 218 | 268 |
| 10 | 227 | 268 |
| 11 | 241 | 268 |
| 12 | 251 | 268 |
| 13 | 267 | 268 |
| 14 | 272 | 268 |
| 15 | 272 | 268 |
| 0 | 272 | 265 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) |
(log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) |
(/.f64 (+.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) |
b |
#s(literal -1 binary64) |
(log1p.f64 (exp.f64 a)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
(+.f64 #s(literal 1 binary64) b) |
#s(literal 1 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)))) |
(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 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
b |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
#s(literal 1 binary64) |
(exp.f64 a) |
a |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(exp.f64 a) |
a |
#s(literal 1 binary64) |
b |
#s(literal -1 binary64) |
(log1p.f64 (exp.f64 a)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
b |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
(+.f64 #s(literal 1 binary64) b) |
#s(literal 1 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)))) |
(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 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
b |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
#s(literal 1 binary64) |
(exp.f64 a) |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.0078125 | (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) | |
| accuracy | 1.5798579454365933 | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) | |
| accuracy | 23.0992930091716 | #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) | |
| accuracy | 0 | (log.f64 #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) | |
| accuracy | 16.679547900243357 | #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 | 18.0858929632663 | #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 | (+.f64 #s(literal 1 binary64) b) | |
| accuracy | 1.2260040428459835 | (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) | |
| accuracy | 2.8348917213973612 | #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) | |
| accuracy | 15.486940252416126 | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) b) | |
| accuracy | 1.5798579454365933 | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) | |
| accuracy | 16.223029951796367 | #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) | |
| accuracy | 38.60707803393517 | #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) | |
| accuracy | 0.00390625 | (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) | |
| accuracy | 0.00390625 | (log1p.f64 (exp.f64 a)) | |
| accuracy | 1.5798579454365933 | #s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) | |
| accuracy | 3.48227102237656 | (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) |
| 53.0ms | 17× | 2 | valid |
| 31.0ms | 108× | 0 | valid |
| 30.0ms | 42× | 1 | valid |
| 24.0ms | 89× | 0 | invalid |
Compiled 482 to 89 computations (81.5% saved)
ival-exp: 37.0ms (32% of total)ival-log: 29.0ms (25.1% of total)ival-add: 14.0ms (12.1% of total)adjust: 12.0ms (10.4% of total)ival-div: 8.0ms (6.9% of total)ival-mult: 7.0ms (6.1% of total)ival-log1p: 6.0ms (5.2% of total)ival-neg: 2.0ms (1.7% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #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))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #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)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) (exp.f64 a)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (exp.f64 a) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 #s(literal 1 binary64) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #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))))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | a | @ | inf | ((exp (* (log (/ (+ (exp a) 1) b)) -1)) (* (log (/ (+ (exp a) 1) b)) -1) (log (+ (exp a) (exp b))) (+ (exp (* (log (/ (+ (exp a) 1) b)) -1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (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))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ 1 (exp a)) (log (+ 1 (exp a))) (log 2) (exp a)) |
| 40.0ms | b | @ | -inf | ((exp (* (log (/ (+ (exp a) 1) b)) -1)) (* (log (/ (+ (exp a) 1) b)) -1) (log (+ (exp a) (exp b))) (+ (exp (* (log (/ (+ (exp a) 1) b)) -1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (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))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ 1 (exp a)) (log (+ 1 (exp a))) (log 2) (exp a)) |
| 39.0ms | a | @ | -inf | ((exp (* (log (/ (+ (exp a) 1) b)) -1)) (* (log (/ (+ (exp a) 1) b)) -1) (log (+ (exp a) (exp b))) (+ (exp (* (log (/ (+ (exp a) 1) b)) -1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (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))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ 1 (exp a)) (log (+ 1 (exp a))) (log 2) (exp a)) |
| 29.0ms | b | @ | inf | ((exp (* (log (/ (+ (exp a) 1) b)) -1)) (* (log (/ (+ (exp a) 1) b)) -1) (log (+ (exp a) (exp b))) (+ (exp (* (log (/ (+ (exp a) 1) b)) -1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (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))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ 1 (exp a)) (log (+ 1 (exp a))) (log 2) (exp a)) |
| 20.0ms | b | @ | 0 | ((exp (* (log (/ (+ (exp a) 1) b)) -1)) (* (log (/ (+ (exp a) 1) b)) -1) (log (+ (exp a) (exp b))) (+ (exp (* (log (/ (+ (exp a) 1) b)) -1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (+ (* 1/2 b) (log 2)) (* 1/2 b) (neg (log (/ 1 (+ (exp b) (exp a))))) (log (+ 1 (exp b))) (exp b) (+ 1 b) (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))) (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/ b (+ 1 (exp a))) (+ 1 (exp a)) (log (+ 1 (exp a))) (log 2) (exp a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 300 | 3920 |
| 1 | 874 | 3844 |
| 2 | 2489 | 3771 |
| 3 | 7746 | 3771 |
| 0 | 8662 | 3350 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(* -1 (+ (log (+ 1 (exp a))) (* -1 (log b)))) |
(* -1 (+ (log (+ 1 (exp a))) (* -1 (log b)))) |
(* -1 (+ (log (+ 1 (exp a))) (* -1 (log b)))) |
(* -1 (+ (log (+ 1 (exp a))) (* -1 (log b)))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (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)))))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (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)))))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(log 2) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (* 1/2 b)) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* -1 (log (/ 1 (+ 1 (exp a))))) |
(- (/ b (+ 1 (exp a))) (log (/ 1 (+ 1 (exp a))))) |
(- (* b (+ (* -1/2 (* b (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(- (* b (+ (* b (- (* -1/6 (* b (- (+ (* 6 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp a)) 2))) (/ 1 (pow (+ 1 (exp a)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp a)) (- (/ 1 (pow (+ 1 (exp a)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))) (log (/ 1 (+ 1 (exp a))))) |
(log 2) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (* b (+ 1/2 (* 1/8 b)))) |
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2))))))) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
1 |
(+ 1 b) |
(+ 1 b) |
(+ 1 b) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (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)))))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(+ (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)))))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b)))) |
(* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b)))) |
(* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b)))) |
(* -1 (+ (log (+ 1 (exp a))) (log (/ 1 b)))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (+ 1 (exp a))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (+ 1 (exp a))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(* 1/2 b) |
(* b (+ 1/2 (/ (log 2) b))) |
(* b (+ 1/2 (/ (log 2) b))) |
(* b (+ 1/2 (/ (log 2) b))) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
b |
(* b (+ 1 (/ 1 b))) |
(* b (+ 1 (/ 1 b))) |
(* b (+ 1 (/ 1 b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (+ 1 (exp a))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(* -1 (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))) |
(* -1 (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))) |
(* -1 (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))) |
(* -1 (+ (log (* -1 (+ 1 (exp a)))) (log (/ -1 b)))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (+ 1 (exp a))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (+ 1 (exp a))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* 1/2 b) |
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) |
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) |
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2))) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(log (+ 1 (exp b))) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
b |
(* b (+ 1 (/ 1 b))) |
(* b (+ 1 (/ 1 b))) |
(* b (+ 1 (/ 1 b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (+ 1 (exp a))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a)))))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(* 1/2 b) |
(+ (* -1/4 (* a b)) (* 1/2 b)) |
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(+ (* 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)))) |
(* -1 (log (/ 2 b))) |
(+ (* -1 (log (/ 2 b))) (* -1/2 a)) |
(+ (* -1 (log (/ 2 b))) (* a (- (* -1/8 a) 1/2))) |
(+ (* -1 (log (/ 2 b))) (* a (- (* a (- (* 1/192 (pow a 2)) 1/8)) 1/2))) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (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)))))) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(+ (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))))) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (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)))))) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(+ (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))))) |
(* -1 (log (/ 1 (+ 1 (exp b))))) |
(- (/ a (+ 1 (exp b))) (log (/ 1 (+ 1 (exp b))))) |
(- (* a (+ (* -1/2 (* a (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(- (* a (+ (* a (- (* -1/6 (* a (- (+ (* 6 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (* 6 (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 2 (/ 1 (pow (+ 1 (exp b)) 3)))))) (* 1/2 (- (* 2 (* (+ 1 (exp b)) (- (/ 1 (pow (+ 1 (exp b)) 3)) (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))) (log (/ 1 (+ 1 (exp b))))) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (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)))))) |
(log 2) |
(+ (log 2) (* 1/2 a)) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
(log 2) |
(+ (log 2) (* 1/2 a)) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
1/2 |
(+ 1/2 (* 1/8 a)) |
(+ 1/2 (* 1/8 a)) |
(+ 1/2 (* 1/8 a)) |
(log (+ 1 (exp b))) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(+ (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)))))) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b))))) |
(+ (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))))) |
(* 1/2 b) |
(+ (* -1/4 (* a b)) (* 1/2 b)) |
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b)))) |
(+ (* 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)))) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(log 2) |
(+ (log 2) (* 1/2 a)) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(* -1 (log (/ (+ 1 (exp a)) b))) |
(* -1 (log (/ (+ 1 (exp a)) b))) |
(* -1 (log (/ (+ 1 (exp a)) b))) |
(* -1 (log (/ (+ 1 (exp a)) b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(* 1/8 (pow a 2)) |
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2))))) |
(* (pow a 2) (+ 1/8 (+ (* 1/2 (/ 1 a)) (/ (log 2) (pow a 2))))) |
(* 1/8 a) |
(* a (+ 1/8 (* 1/2 (/ 1 a)))) |
(* a (+ 1/8 (* 1/2 (/ 1 a)))) |
(* a (+ 1/8 (* 1/2 (/ 1 a)))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(* -1 (log (/ (+ 1 (exp a)) b))) |
(* -1 (log (/ (+ 1 (exp a)) b))) |
(* -1 (log (/ (+ 1 (exp a)) b))) |
(* -1 (log (/ (+ 1 (exp a)) b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(* -1 (log (/ 1 (+ (exp a) (exp b))))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(* 1/8 (pow a 2)) |
(* (pow a 2) (+ 1/8 (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a)))) |
(* (pow a 2) (+ 1/8 (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) a)))) |
(* 1/8 a) |
(* a (+ 1/8 (* 1/2 (/ 1 a)))) |
(* a (+ 1/8 (* 1/2 (/ 1 a)))) |
(* a (+ 1/8 (* 1/2 (/ 1 a)))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(/ b (+ 1 (exp a))) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
| Outputs |
|---|
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) |
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) |
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) |
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) b (log1p.f64 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
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#s(literal 2 binary64) |
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#s(literal 1 binary64) |
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(log1p.f64 (exp.f64 a)) |
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(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
(exp.f64 a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 250 |
| 0 | 71 | 244 |
| 1 | 243 | 233 |
| 2 | 1687 | 232 |
| 0 | 8310 | 229 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b))) |
#s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
(+.f64 #s(literal 1 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)))) |
(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 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(log1p.f64 (exp.f64 a)) |
(log.f64 #s(literal 2 binary64)) |
(exp.f64 a) |
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Compiled 22 974 to 2 042 computations (91.1% saved)
19 alts after pruning (11 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 793 | 5 | 798 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 795 | 19 | 814 |
| Status | Accuracy | Program |
|---|---|---|
| 52.9% | (neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) (exp a))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) | |
| ✓ | 55.6% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| ✓ | 51.8% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
| ✓ | 50.2% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
| 50.8% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) | |
| 50.8% | #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #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))))) | |
| 52.1% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(approx (/ 1 (neg (- (exp a) 1))) (/.f64 #s(literal -1 binary64) a)))) (log1p.f64 (exp.f64 a)))) | |
| 11.5% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64))))) (log.f64 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))) | |
| 41.5% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 #s(approx (* (log (/ (+ (exp a) 1) b)) -1) (neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) b))))) (log1p.f64 (exp.f64 a)))) | |
| 47.9% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) | |
| ✓ | 49.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| ✓ | 50.4% | #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))))) |
| ✓ | 50.9% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
| 5.5% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (/ b (+ 1 (exp a))) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)))) | |
| ✓ | 11.9% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
| 49.4% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| ✓ | 49.5% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
| 49.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| 3.3% | #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 #s(literal 1/8 binary64) a) a)))) |
Compiled 1 106 to 533 computations (51.8% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (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 (+ 1 (exp a))) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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 (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 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 (neg (log (/ 1 (+ (exp b) (exp a))))) #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 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #s(approx (exp a) #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 (neg (log (/ 1 (+ (exp b) (exp a))))) #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))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) 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 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(approx (/ 1 (neg (- (exp a) 1))) (/.f64 #s(literal -1 binary64) a)))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 #s(approx (* (log (/ (+ (exp a) 1) b)) -1) (neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) b))))) (log1p.f64 (exp.f64 a)))) |
(neg.f64 (log.f64 #s(approx (/ 1 (+ (exp b) (exp a))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64))))) (log.f64 (expm1.f64 a)))) (log1p.f64 (exp.f64 a)))) |
(-.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))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
6 calls:
| 11.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 10.0ms | b |
| 10.0ms | a |
| 8.0ms | (exp.f64 b) |
| 8.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | a |
| 97.5% | 1 | b |
| 97.5% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 97.5% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 99.2% | 2 | (exp.f64 a) |
| 97.5% | 1 | (exp.f64 b) |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (+ 1 (exp a))) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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 (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 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 (neg (log (/ 1 (+ (exp b) (exp a))))) #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 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #s(approx (exp a) #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 (neg (log (/ 1 (+ (exp b) (exp a))))) #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))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) 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 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 (exp.f64 a) #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))))) |
6 calls:
| 20.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 7.0ms | b |
| 7.0ms | a |
| 6.0ms | (exp.f64 b) |
| 6.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.2% | 2 | b |
| 96.9% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 96.9% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 53.9% | 1 | (exp.f64 b) |
| 98.0% | 2 | a |
| 98.0% | 2 | (exp.f64 a) |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (+ 1 (exp a))) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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 (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 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 (neg (log (/ 1 (+ (exp b) (exp a))))) #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 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #s(approx (exp a) #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 (neg (log (/ 1 (+ (exp b) (exp a))))) #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))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
2 calls:
| 7.0ms | a |
| 5.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 2 | a |
| 97.9% | 2 | (exp.f64 a) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (+ 1 (exp a))) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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 (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 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 (neg (log (/ 1 (+ (exp b) (exp a))))) #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 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #s(approx (exp a) #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 (neg (log (/ 1 (+ (exp b) (exp a))))) #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))) (log1p.f64 (exp.f64 a))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #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))))) |
4 calls:
| 24.0ms | (exp.f64 a) |
| 9.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 6.0ms | a |
| 4.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 95.7% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 96.9% | 2 | a |
| 96.9% | 2 | (exp.f64 a) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (+ 1 (exp a))) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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 (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 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 (neg (log (/ 1 (+ (exp b) (exp a))))) #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 (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(log.f64 (+.f64 #s(approx (exp a) #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))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
2 calls:
| 5.0ms | a |
| 4.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | a |
| 96.8% | 2 | (exp.f64 a) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (+ 1 (exp a))) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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 (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 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 (neg (log (/ 1 (+ (exp b) (exp a))))) #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))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #s(approx (log (+ 1 (exp b))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) b #s(literal 1/2 binary64)) b (log.f64 #s(literal 2 binary64))))) |
5 calls:
| 7.0ms | a |
| 4.0ms | b |
| 3.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 3.0ms | (exp.f64 a) |
| 3.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 1 | b |
| 57.6% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 57.6% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 57.7% | 2 | a |
| 57.7% | 2 | (exp.f64 a) |
Compiled 15 to 18 computations (-20% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (+ 1 (exp a))) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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 (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 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))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
4 calls:
| 6.0ms | (exp.f64 a) |
| 4.0ms | a |
| 3.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.2% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 57.2% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 57.4% | 2 | a |
| 57.4% | 2 | (exp.f64 a) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (+ 1 (exp a))) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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 (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 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 a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
4 calls:
| 8.0ms | a |
| 3.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.0ms | (exp.f64 a) |
| 3.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.2% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 57.2% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 57.2% | 2 | a |
| 57.2% | 2 | (exp.f64 a) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (+ 1 (exp a))) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #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 (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* 1/8 a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)))) |
4 calls:
| 3.0ms | a |
| 3.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 3.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.1% | 2 | a |
| 57.1% | 2 | (exp.f64 a) |
| 57.0% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 57.0% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (+ 1 (exp a))) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
4 calls:
| 6.0ms | a |
| 2.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.7% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 56.7% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 57.0% | 2 | a |
| 57.0% | 2 | (exp.f64 a) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.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 (+ 1 (exp a))) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
4 calls:
| 2.0ms | a |
| 2.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 2.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.3% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 56.3% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 56.4% | 2 | a |
| 56.4% | 2 | (exp.f64 a) |
Compiled 14 to 16 computations (-14.3% saved)
Total -5.8b remaining (-10.2%)
Threshold costs -5.8b (-10.2%)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
#s(approx (log (+ (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 (+ 1 (exp a))) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
6 calls:
| 5.0ms | a |
| 2.0ms | b |
| 2.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 1.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.9% | 1 | b |
| 11.9% | 1 | (exp.f64 b) |
| 11.9% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 11.9% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 11.9% | 1 | a |
| 11.9% | 1 | (exp.f64 a) |
Compiled 17 to 21 computations (-23.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.04016829289781216 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.04016829289781216 | 0.9969495651712285 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.04016829289781216 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.04016829289781216 | 0.9969495651712285 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.04016829289781216 | 0.9969495651712285 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.04016829289781216 | 0.9969495651712285 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.04016829289781216 | 0.9969495651712285 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.009562818901364 | 1.9969495651712283 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.04016829289781216 | 0.9969495651712285 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.04016829289781216 | 0.9969495651712285 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.04016829289781216 | 0.9969495651712285 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 597 |
| 1 | 100 | 597 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 a) #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 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #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)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #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)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #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)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (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 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3/2 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #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)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
| Outputs |
|---|
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (log.f64 (+.f64 #s(approx (exp 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))) (exp.f64 a)))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b)))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #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)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #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)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) #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)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (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 (+.f64 (exp.f64 b) (exp.f64 a)) #s(literal 3/2 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (neg (log (/ 1 (+ (exp b) (exp a))))) (log1p.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))))) |
(if (<=.f64 (exp.f64 a) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #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)))) #s(approx (+ (* 1/2 b) (log 2)) (*.f64 #s(literal 1/2 binary64) b)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 341 | 3656 |
| 1 | 996 | 3549 |
| 2 | 3089 | 3504 |
| 0 | 8204 | 3144 |
| 0 | 99 | 564 |
| 1 | 274 | 564 |
| 2 | 753 | 556 |
| 3 | 2519 | 548 |
| 0 | 8540 | 500 |
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 24 | 15 |
| 2 | 150 | 15 |
| 0 | 1409 | 15 |
| 0 | 304 | 3969 |
| 1 | 858 | 3934 |
| 2 | 2583 | 3891 |
| 0 | 8245 | 3555 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 870 to 359 computations (58.7% saved)
Compiled 1 280 to 250 computations (80.5% saved)
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