
Time bar (total: 9.8s)
| 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)
| 1.9s | 7 031× | 5 | exit |
| 806.0ms | 1 484× | 2 | valid |
| 737.0ms | 2 333× | 1 | valid |
| 316.0ms | 4 439× | 0 | valid |
| 102.0ms | 951× | 1 | exit |
ival-log: 1.3s (44% of total)ival-exp: 849.0ms (28.7% of total)adjust: 523.0ms (17.7% of total)ival-add: 268.0ms (9% of total)ival-true: 13.0ms (0.4% of total)ival-assert: 7.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 126 | 0 | - | 0 | - | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (exp.f64 b) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (exp.f64 a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | sensitivity | 120 | 1 |
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | oflow-rescue | 4 | 0 |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | overflow | 4 | |
| ↳ | (exp.f64 b) | overflow | 4 | |
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | uflow-rescue | 2 | 0 |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | underflow | 2 | |
| ↳ | (exp.f64 a) | underflow | 62 | |
| ↳ | (exp.f64 b) | underflow | 61 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 126 | 0 |
| - | 0 | 130 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 126 | 0 | 0 |
| - | 0 | 1 | 129 |
| number | freq |
|---|---|
| 0 | 130 |
| 1 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 46.0ms | 98× | 2 | valid |
| 26.0ms | 136× | 1 | valid |
| 19.0ms | 278× | 0 | valid |
Compiled 44 to 22 computations (50% saved)
ival-log: 38.0ms (53.6% of total)ival-exp: 24.0ms (33.8% of total)adjust: 5.0ms (7.1% of total)ival-add: 4.0ms (5.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 24× | sub-neg |
| 22× | +-commutative |
| 16× | exp-diff |
| 16× | exp-sum |
| 14× | *-commutative |
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 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(sort a b)
Compiled 6 to 6 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.5% | (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))) |
| 4× | lift-exp.f64 |
| 4× | lower-+.f32 |
| 4× | lower-exp.f32 |
| 2× | lift-+.f64 |
| 2× | lower-+.f64 |
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 a) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp.f64 a) |
a |
(exp.f64 b) |
b |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 b) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.015625 | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| accuracy | 29.091477595217263 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 48.0ms | 68× | 1 | valid |
| 23.0ms | 49× | 2 | valid |
| 8.0ms | 139× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-exp: 47.0ms (66.7% of total)ival-log: 19.0ms (27% of total)adjust: 2.0ms (2.8% of total)ival-add: 2.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ()) |
#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ()) |
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ()) |
#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp a)) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ b (exp a))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (taylor 0 b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 b) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* b (+ 1 (* 1/2 b)))) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) (taylor 0 b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf b) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf b) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (exp b) (taylor -inf b) (#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp b))) (taylor 0 a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) (taylor 0 a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) (taylor 0 a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (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)))))) (taylor 0 a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp b)) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ a (exp b))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) (taylor 0 a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 a) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ 1 (* 1/2 a)))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) (taylor 0 a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (patch (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) (exp.f64 b)) (patch (+.f64 (exp.f64 a) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | b | @ | -inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 27.0ms | b | @ | inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 26.0ms | a | @ | -inf | ((log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp a) (exp b)) |
| 15.0ms | 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 |
| 18 508× | lower-fma.f64 |
| 18 508× | lower-fma.f32 |
| 5 052× | lower-+.f64 |
| 5 052× | lower-+.f32 |
| 4 904× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 564 |
| 1 | 274 | 564 |
| 2 | 753 | 556 |
| 3 | 2519 | 548 |
| 0 | 8543 | 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 |
|---|
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp 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))) |
(+ (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)))))) |
(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))) |
(+ 1 (exp a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+ 1 (+ b (exp a))) |
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 b) |
(+.f64 b #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 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 (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+.f64 (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp 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))) |
(+ (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)))))) |
(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))) |
(+ 1 (exp b)) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(+ 1 (+ a (exp b))) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
| 812× | lower-*.f64 |
| 812× | lower-*.f32 |
| 800× | lower-fma.f64 |
| 800× | lower-fma.f32 |
| 614× | lower-/.f64 |
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 |
|---|
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (*.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (+.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (*.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) (+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (fma.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (fma.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (log.f64 (+.f64 (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)))))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(+.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(+.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (neg.f64 (log.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (log.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (-.f64 (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (+.f64 (exp.f64 b) (exp.f64 a))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(*.f64 (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64))) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 (+.f64 b a)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 9 binary64)) (pow.f64 (exp.f64 a) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))) (fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (fma.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 (+.f64 b a)) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 9 binary64)) (pow.f64 (exp.f64 a) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (fma.f64 (exp.f64 b) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) (pow.f64 (exp.f64 b) #s(literal 4 binary64))) (pow.f64 (exp.f64 (+.f64 b a)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 9 binary64)) (pow.f64 (exp.f64 a) #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) (pow.f64 (exp.f64 b) #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 b a) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 b) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) (pow.f64 (exp.f64 b) #s(literal 3 binary64)))) (fma.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (exp.f64 b) #s(literal 2 binary64)))) (+.f64 (exp.f64 b) (exp.f64 a)) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(fma.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp.f64 a) |
(exp.f64 b) |
Compiled 2 788 to 411 computations (85.3% 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 |
|---|---|---|
| 54.5% | (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (exp.f64 a))))) | |
| ✓ | 54.5% | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| ▶ | 54.1% | (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))))) |
| ▶ | 54.0% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) |
| 53.2% | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) | |
| ▶ | 51.6% | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
| 54.1% | (log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) | |
| ▶ | 98.4% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
| 51.6% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) | |
| ▶ | 53.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
Compiled 156 to 150 computations (3.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (+.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)))) | |
| cost-diff | 0 | (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))))) | |
| cost-diff | 0 | #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) | |
| cost-diff | 0 | (exp.f64 a) | |
| cost-diff | 0 | (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) | |
| cost-diff | 0 | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 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)))) |
| 456× | lower-fma.f32 |
| 450× | lower-fma.f64 |
| 174× | lower-*.f64 |
| 174× | lower-*.f32 |
| 152× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 191 |
| 0 | 52 | 191 |
| 1 | 67 | 191 |
| 2 | 83 | 191 |
| 3 | 146 | 191 |
| 4 | 280 | 191 |
| 5 | 366 | 191 |
| 6 | 389 | 191 |
| 0 | 389 | 191 |
| 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) (+.f64 b #s(literal 1 binary64))))) |
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) |
(exp.f64 a) |
a |
#s(approx (exp b) (+.f64 b #s(literal 1 binary64))) |
(+.f64 b #s(literal 1 binary64)) |
b |
#s(literal 1 binary64) |
(log.f64 (+.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))))) |
(+.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)))) |
(exp.f64 a) |
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))) |
(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)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
b |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
b |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+.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 #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) (+.f64 b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a))) |
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) |
(+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) (exp.f64 a)) |
(exp.f64 a) |
a |
#s(approx (exp b) (+.f64 b #s(literal 1 binary64))) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
(+.f64 b #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) b) |
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 #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))) |
(+.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)))) |
(+.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)) |
(exp.f64 a) |
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))) |
(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)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
b |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (+.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)))) | |
| accuracy | 1.8377682328029037 | #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))) | |
| accuracy | 29.091477595217263 | (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))))) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.015625 | (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) | |
| accuracy | 1.8962332903935277 | #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) | |
| accuracy | 29.091477595217263 | (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) | |
| accuracy | 0 | (exp.f64 b) | |
| accuracy | 0.015625 | (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) | |
| accuracy | 29.091477595217263 | (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) | |
| accuracy | 30.49721072365359 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0 | (exp.f64 a) | |
| accuracy | 0.0078125 | (log1p.f64 (exp.f64 a)) | |
| accuracy | 29.77319208073432 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) | |
| accuracy | 0.015625 | (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) | |
| accuracy | 0.015625 | (+.f64 (exp.f64 a) #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) | |
| accuracy | 0.9995684296183192 | #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
| 36.0ms | 49× | 2 | valid |
| 26.0ms | 68× | 1 | valid |
| 24.0ms | 139× | 0 | valid |
Compiled 139 to 22 computations (84.2% saved)
ival-log: 20.0ms (31.7% of total)ival-exp: 12.0ms (19% of total)ival-add: 10.0ms (15.9% of total)adjust: 8.0ms (12.7% of total)ival-mult: 4.0ms (6.3% of total)const: 4.0ms (6.3% of total)ival-div: 3.0ms (4.8% of total)ival-log1p: 2.0ms (3.2% 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 #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (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 (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ()) |
#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (exp.f64 a) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 a) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ()) |
#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ()) |
#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (exp.f64 b) (patch (exp.f64 b) #<representation binary64>) () ()) |
#s(alt (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) (patch #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (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))))) (patch (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))))) #<representation binary64>) () ()) |
#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (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 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (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 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (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 (+ (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)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (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 (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (+ 1 (exp a))) (taylor 0 b) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (exp a) (exp b)) (taylor inf a) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (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 (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (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 (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (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 (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) (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 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor -inf a) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor -inf a) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor -inf a) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor -inf a) (#s(alt (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (+ 1 (exp a))) (taylor -inf a) (#s(alt (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (patch (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp a)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(literal 1 binary64)) (patch (+.f64 (exp.f64 a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt (exp.f64 a) (patch (exp.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) (patch (log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) (patch (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | 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 (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/6 b) 1/2) b) 1)) |
| 21.0ms | 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 (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/6 b) 1/2) b) 1)) |
| 21.0ms | 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 (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/6 b) 1/2) b) 1)) |
| 12.0ms | 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 (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/6 b) 1/2) b) 1)) |
| 8.0ms | 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 (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (+ (* 1/6 b) 1/2) b) 1)) |
| 1× | egg-herbie |
| 19 576× | lower-fma.f64 |
| 19 576× | lower-fma.f32 |
| 4 402× | lower-*.f64 |
| 4 402× | lower-*.f32 |
| 2 810× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 2985 |
| 1 | 527 | 2962 |
| 2 | 1555 | 2915 |
| 3 | 5164 | 2901 |
| 0 | 8091 | 2611 |
| 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 (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 |
(+ 1 (* 1/2 b)) |
(+ 1 (* b (+ 1/2 (* 1/6 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))) |
(/ 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 (+ (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) |
(* 1/6 (pow b 2)) |
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1/6 (+ (* 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 (+ (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) |
(* 1/6 (pow b 2)) |
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) |
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
(* (pow b 2) (+ 1/6 (+ (* 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 (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 (+ (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 (+ (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 (+ (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 (+ (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)) |
| Outputs |
|---|
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp 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 (/.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))) |
(+ (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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp 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 (/.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))) |
(+ (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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp 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 (/.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))) |
(+ (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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a))) |
(+ 1 (exp a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+ 1 (+ b (exp a))) |
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
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1 |
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1 |
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(log (+ (exp a) (exp b))) |
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(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
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(log (+ (exp a) (exp b))) |
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(+.f64 (exp.f64 b) (exp.f64 a)) |
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(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
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(exp b) |
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(log (+ (exp a) (exp b))) |
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(exp.f64 b) |
(exp b) |
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(* 1/6 (pow b 2)) |
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(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) |
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(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
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(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
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(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
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(log (+ (exp a) (exp b))) |
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(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
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(+.f64 (exp.f64 b) (exp.f64 a)) |
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(exp.f64 b) |
(exp b) |
(exp.f64 b) |
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(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(* 1/6 (pow b 2)) |
(*.f64 (*.f64 b b) #s(literal 1/6 binary64)) |
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b)))) |
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(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
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(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2))))) |
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(log (+ 1 (exp b))) |
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(*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) 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)))) |
(fma.f64 (*.f64 a a) (*.f64 #s(literal 1/48 binary64) (*.f64 b a)) (*.f64 (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64)) b)) |
2 |
#s(literal 2 binary64) |
(+ 2 a) |
(+.f64 #s(literal 2 binary64) a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+.f64 (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b))) |
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(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
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(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
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1 |
#s(literal 1 binary64) |
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(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
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(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 (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
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(+ 1 (+ a (exp b))) |
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(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
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1 |
#s(literal 1 binary64) |
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(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
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(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))) |
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(+ 1 (+ a (exp b))) |
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(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
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(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))) |
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(+ 1 (exp b)) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(+ 1 (+ a (exp b))) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/ b (+ 1 (exp a))) |
(/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ 1 (exp a)) |
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(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
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(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+ 1 (exp a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
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(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
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(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
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(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
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(/ b (+ 1 (exp a))) |
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(/ b (+ 1 (exp a))) |
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(+ 1 (exp a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
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(log (+ 1 (exp a))) |
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(exp a) |
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(exp a) |
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(exp a) |
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(log (+ (exp a) (exp b))) |
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(log (+ (exp a) (exp b))) |
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(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
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(+.f64 (exp.f64 b) (exp.f64 a)) |
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(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(log (+ (exp a) (exp b))) |
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(log (+ (exp a) (exp b))) |
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(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
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(+.f64 (exp.f64 b) (exp.f64 a)) |
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(+.f64 (exp.f64 b) (exp.f64 a)) |
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(+.f64 (exp.f64 b) (exp.f64 a)) |
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(+.f64 (exp.f64 b) (exp.f64 a)) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
| 4 522× | lower-/.f32 |
| 4 520× | lower-/.f64 |
| 4 466× | lower-fma.f32 |
| 4 460× | lower-fma.f64 |
| 3 598× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 151 |
| 0 | 52 | 151 |
| 1 | 191 | 151 |
| 2 | 1463 | 151 |
| 0 | 8676 | 151 |
| 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) (+.f64 b #s(literal 1 binary64))))) |
(+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) |
#s(approx (exp b) (+.f64 b #s(literal 1 binary64))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (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 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))) |
#s(approx (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))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
| 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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (*.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (*.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.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 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))) |
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 a)) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a))) |
(fma.f64 (pow.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 b (pow.f64 (expm1.f64 a) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 b (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 b (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 b (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))) (log1p.f64 (exp.f64 a))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (log1p.f64 (exp.f64 a))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) b (log1p.f64 (exp.f64 a))) |
(fma.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) |
(fma.f64 (neg.f64 b) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1 binary64) (log1p.f64 (exp.f64 a))) |
(fma.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))))) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) |
(*.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 a) #s(literal -1 binary64)))) |
(*.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a)) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b)) |
Compiled 14 676 to 1 737 computations (88.2% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 766 | 15 | 781 |
| Fresh | 3 | 1 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 774 | 17 | 791 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.7% | (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) |
| ▶ | 51.1% | (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))))) |
| 51.1% | (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))))) | |
| ▶ | 98.4% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) |
| ▶ | 98.4% | #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)))) |
| 61.4% | #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)))) | |
| 60.0% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) | |
| 67.6% | #s(approx (log (+ (exp a) (exp b))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))) | |
| 51.6% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) | |
| ✓ | 53.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| 49.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) | |
| ▶ | 50.9% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| 51.3% | #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))))) | |
| 50.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) | |
| 50.5% | #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))))) | |
| 50.8% | #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))))) | |
| 50.7% | #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 392 to 335 computations (14.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (expm1.f64 (*.f64 a #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) | |
| cost-diff | 6720 | (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) | |
| cost-diff | 0 | #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))) | |
| 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 (fma.f64 #s(literal 1/6 binary64) b #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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) | |
| cost-diff | 0 | (+.f64 a #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) | |
| cost-diff | 0 | (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 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)))) |
| 5 320× | lower-fma.f32 |
| 5 312× | lower-fma.f64 |
| 1 754× | lower-*.f32 |
| 1 750× | lower-*.f64 |
| 1 554× | div-sub |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 299 |
| 0 | 70 | 309 |
| 1 | 110 | 296 |
| 2 | 216 | 280 |
| 3 | 592 | 268 |
| 4 | 2090 | 266 |
| 5 | 5665 | 266 |
| 0 | 8228 | 266 |
| 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) |
(log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) |
(+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) |
#s(approx (exp a) (+.f64 a #s(literal 1 binary64))) |
(+.f64 a #s(literal 1 binary64)) |
a |
#s(literal 1 binary64) |
#s(approx (exp b) (+.f64 b #s(literal 1 binary64))) |
(+.f64 b #s(literal 1 binary64)) |
b |
(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))))) |
(+.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 (exp a) #s(literal 1 binary64)) |
#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))) |
(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)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
b |
#s(literal 1/2 binary64) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) |
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) |
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) |
b |
(expm1.f64 (*.f64 a #s(literal 2 binary64))) |
(*.f64 a #s(literal 2 binary64)) |
a |
#s(literal 2 binary64) |
(expm1.f64 a) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
| Outputs |
|---|
#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 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (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 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (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))))) |
(/.f64 b (-.f64 (exp.f64 a) #s(literal -1 binary64))) |
b |
(*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))) |
(-.f64 (exp.f64 a) #s(literal -1 binary64)) |
(neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) |
(neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) |
(expm1.f64 (*.f64 a #s(literal 2 binary64))) |
(expm1.f64 (*.f64 #s(literal 2 binary64) a)) |
(*.f64 a #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) a) |
a |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))) |
(/.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) |
(log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
(+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) |
(+.f64 #s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))) |
#s(approx (exp a) (+.f64 a #s(literal 1 binary64))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 a #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) a) |
a |
#s(literal 1 binary64) |
#s(approx (exp b) (+.f64 b #s(literal 1 binary64))) |
#s(approx (exp b) (+.f64 #s(literal 1 binary64) b)) |
(+.f64 b #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) b) |
b |
(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))))) |
(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))) #s(approx (exp a) #s(literal 1 binary64)))) |
(+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))) |
(+.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))) #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 (fma.f64 #s(literal 1/6 binary64) b #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)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
b |
#s(literal 1/2 binary64) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) |
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) |
(/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) |
b |
(expm1.f64 (*.f64 a #s(literal 2 binary64))) |
(expm1.f64 (*.f64 #s(literal 2 binary64) a)) |
(*.f64 a #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) a) |
a |
#s(literal 2 binary64) |
(expm1.f64 a) |
(log1p.f64 (exp.f64 a)) |
(exp.f64 a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (log1p.f64 (exp.f64 a)) | |
| accuracy | 0.01171875 | (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) | |
| accuracy | 0.0234375 | (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) | |
| accuracy | 0.9995684296183192 | #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) | |
| accuracy | 0.015625 | (+.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)))) | |
| accuracy | 1.8377682328029037 | #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))) | |
| accuracy | 29.091477595217263 | (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))))) | |
| accuracy | 30.49721072365359 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) | |
| accuracy | 1.8962332903935277 | #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) | |
| accuracy | 29.091477595217263 | (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) | |
| accuracy | 30.429501906386314 | #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) | |
| accuracy | 29.77319208073432 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) | |
| accuracy | 30.49721072365359 | #s(approx (exp a) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (+.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))) | |
| accuracy | 0.01953125 | (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) | |
| accuracy | 0.08203125 | (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))) | |
| accuracy | 0.9995684296183192 | #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)))) |
| 347.0ms | 139× | 0 | valid |
| 44.0ms | 49× | 2 | valid |
| 34.0ms | 68× | 1 | valid |
Compiled 246 to 33 computations (86.6% saved)
ival-expm1: 317.0ms (79.8% of total)ival-log: 19.0ms (4.8% of total)ival-exp: 12.0ms (3% of total)adjust: 10.0ms (2.5% of total)ival-add: 10.0ms (2.5% of total)ival-mult: 10.0ms (2.5% of total)ival-div: 7.0ms (1.8% of total)const: 4.0ms (1% of total)ival-neg: 4.0ms (1% of total)ival-log1p: 2.0ms (0.5% 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 (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a)))) (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 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))) #<representation binary64>) () ()) |
#s(alt #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)))) (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 (+.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))) (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 #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (patch (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (patch #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 a #s(literal 1 binary64)) (patch (+.f64 a #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (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))))) (patch (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))))) #<representation binary64>) () ()) |
#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ()) |
#s(alt (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (patch (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (expm1.f64 (*.f64 a #s(literal 2 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (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 #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) (patch #s(approx (exp b) (+.f64 b #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt #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)))) (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 (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt #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)))) (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 (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt #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)))) (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 (+ (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)))))) (taylor 0 b) (#s(alt #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)))) (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 (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (+.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))) (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 (+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a))))))) (taylor 0 b) (#s(alt (+.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))) (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 (+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a))))))) (taylor 0 b) (#s(alt (+.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))) (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 (+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a))))))) (taylor 0 b) (#s(alt (+.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))) (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 (log (+ 1 (exp a))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (exp a)) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ b (exp a))) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (taylor 0 b) (#s(alt (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) (taylor 0 b) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) (taylor 0 b) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (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)))))) (taylor 0 b) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
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#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (patch (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (patch (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) (patch (log1p.f64 #s(approx (exp a) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) #s(literal 1 binary64)) (patch #s(approx (exp a) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) (patch (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) (patch (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (patch #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (patch #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (patch #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp a) (taylor -inf a) (#s(alt #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (patch #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt a (taylor -inf a) (#s(alt (+.f64 a #s(literal 1 binary64)) (patch (+.f64 a #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (+.f64 a #s(literal 1 binary64)) (patch (+.f64 a #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (+.f64 a #s(literal 1 binary64)) (patch (+.f64 a #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1 (/ 1 a))) (taylor -inf a) (#s(alt (+.f64 a #s(literal 1 binary64)) (patch (+.f64 a #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp a) (exp b)) (taylor -inf a) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
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#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (- (exp (* 2 a)) 1) (taylor -inf a) (#s(alt (expm1.f64 (*.f64 a #s(literal 2 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) (taylor -inf a) (#s(alt (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (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 (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) (taylor -inf a) (#s(alt (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (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 (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) (taylor -inf a) (#s(alt (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (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 (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) (taylor -inf a) (#s(alt (/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) (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>) () ())) ()) |
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#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt (log1p.f64 (exp.f64 a)) (patch (log1p.f64 (exp.f64 a)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | 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))) (+ (exp a) (exp b)) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (exp b) (log (+ 1 (exp a)))) |
| 17.0ms | 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))) (+ (exp a) (exp b)) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (exp b) (log (+ 1 (exp a)))) |
| 12.0ms | 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))) (+ (exp a) (exp b)) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (exp b) (log (+ 1 (exp a)))) |
| 9.0ms | 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))) (+ (exp a) (exp b)) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (exp b) (log (+ 1 (exp a)))) |
| 4.0ms | 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))) (+ (exp a) (exp b)) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (+ (exp a) (exp b)) (exp b) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (/ b (* (neg (- (exp (* a 2)) 1)) (/ 1 (neg (- (exp a) 1))))) (exp b) (log (+ 1 (exp a)))) |
| 1× | egg-herbie |
| 13 424× | lower-fma.f64 |
| 13 424× | lower-fma.f32 |
| 3 930× | lower-*.f64 |
| 3 930× | lower-*.f32 |
| 3 560× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 4138 |
| 1 | 820 | 3982 |
| 2 | 2541 | 3884 |
| 0 | 8318 | 3203 |
| 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)))))) |
(+ 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))))))) |
(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 (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) |
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) |
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) |
(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)))))) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ (* 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 |
(+ 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))) |
(* 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))) |
(+ (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))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))) |
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1)))) |
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1)))) |
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1)))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ (* 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)))) |
(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))) |
(/ (* 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))) |
(+ (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))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1)))))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1)))))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1)))))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ (* 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)))) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
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)))))) |
(+ 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)))))) |
1 |
(+ 1 a) |
(+ 1 a) |
(+ 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)))))) |
(+ 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 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)))))) |
(* 1/2 (/ b a)) |
(/ (+ (* -1/2 (* a b)) (* 1/2 b)) a) |
(/ (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/2 b) (* 1/3 b)))) (* 1/2 b)))) a) |
(/ (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1 (+ (* -1/2 b) (* 1/3 b))) (+ (* -1/3 b) (* 1/6 b))))) (+ (* -1/2 b) (* 1/3 b)))) (* 1/2 b)))) a) |
(* 2 a) |
(* a (+ 2 (* 2 a))) |
(* a (+ 2 (* a (+ 2 (* 4/3 a))))) |
(* a (+ 2 (* a (+ 2 (* a (+ 4/3 (* 2/3 a))))))) |
(* 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)))) |
(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 (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))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
a |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 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))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(- (exp (* 2 a)) 1) |
(- (exp (* 2 a)) 1) |
(- (exp (* 2 a)) 1) |
(- (exp (* 2 a)) 1) |
(/ (* 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 (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 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 (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))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
a |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 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))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(- (exp (* 2 a)) 1) |
(- (exp (* 2 a)) 1) |
(- (exp (* 2 a)) 1) |
(- (exp (* 2 a)) 1) |
(/ (* 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 (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
| Outputs |
|---|
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a))))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a))))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a))))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a))) |
(+ 1 (exp a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+ 1 (+ b (exp a))) |
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a))) |
(+ 1 (exp a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+ 1 (+ b (exp a))) |
(+.f64 (+.f64 b (exp.f64 a)) #s(literal 1 binary64)) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 b) |
(+.f64 b #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 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 (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) b (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
1 |
#s(literal 1 binary64) |
(+ 1 b) |
(+.f64 b #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64)) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 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 (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(* b (- (/ 1 (- 1 (exp (* 2 a)))) (/ (exp a) (- 1 (exp (* 2 a)))))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(* b (- (+ (/ 1 (- 1 (exp (* 2 a)))) (/ (log (+ 1 (exp a))) b)) (/ (exp a) (- 1 (exp (* 2 a)))))) |
(*.f64 (+.f64 (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(* b (- (+ (/ 1 (- 1 (exp (* 2 a)))) (/ (log (+ 1 (exp a))) b)) (/ (exp a) (- 1 (exp (* 2 a)))))) |
(*.f64 (+.f64 (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(* b (- (+ (/ 1 (- 1 (exp (* 2 a)))) (/ (log (+ 1 (exp a))) b)) (/ (exp a) (- 1 (exp (* 2 a)))))) |
(*.f64 (+.f64 (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1)))) |
(*.f64 (+.f64 (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1)))) |
(*.f64 (+.f64 (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1)))) |
(*.f64 (+.f64 (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
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(*.f64 (+.f64 (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- 1 (exp a)) (- 1 (exp (* 2 a)))))))) |
(*.f64 (+.f64 (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- 1 (exp a)) (- 1 (exp (* 2 a)))))))) |
(*.f64 (+.f64 (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
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(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
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(+ (exp a) (exp b)) |
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(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1)))))) |
(*.f64 (+.f64 (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1)))))) |
(*.f64 (+.f64 (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1)))))) |
(*.f64 (+.f64 (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) (/.f64 (log1p.f64 (exp.f64 a)) b)) b) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
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(/.f64 b (expm1.f64 (+.f64 a a))) |
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(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
2 |
#s(literal 2 binary64) |
(+ 2 a) |
(+.f64 #s(literal 2 binary64) a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 2 binary64)) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(/ (- (* 1/2 a) 1) a) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) |
(/ (- (* a (+ 1/2 (* -1/12 a))) 1) a) |
(-.f64 (fma.f64 #s(literal -1/12 binary64) a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(/ (- (* a (+ 1/2 (* a (- (* 1/720 (pow a 2)) 1/12)))) 1) a) |
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(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+.f64 (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 b))) |
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(+ (log 2) (* 1/2 b)) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 1/4 b)) (* 1/2 b))))) |
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(+ (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))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
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(fma.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 0 binary64)) a #s(literal 0 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)))) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
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(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
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(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) a) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 b))) |
(+ 1 (exp b)) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(+ 1 (+ a (exp b))) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+.f64 (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) a) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 b))) |
(+ 1 (exp b)) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(+ 1 (+ a (exp b))) |
(+.f64 (+.f64 (exp.f64 b) a) #s(literal 1 binary64)) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a (+.f64 (exp.f64 b) #s(literal 1 binary64))) |
(+ (log 2) (* 1/2 b)) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 1/4 b)) (* 1/2 b))))) |
(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)))) |
(+ (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))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(+ (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))))) |
(fma.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 0 binary64)) a #s(literal 0 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)))) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+.f64 (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) a) #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))) a (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 b))) |
(* 1/2 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (* a b)) (* 1/2 b)) a) |
(*.f64 b (/.f64 (fma.f64 #s(literal -1/2 binary64) a #s(literal 1/2 binary64)) a)) |
(/ (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/2 b) (* 1/3 b)))) (* 1/2 b)))) a) |
(/.f64 (fma.f64 (neg.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)))) a (*.f64 #s(literal 1/2 binary64) b)) a) |
(/ (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1 (+ (* -1/2 b) (* 1/3 b))) (+ (* -1/3 b) (* 1/6 b))))) (+ (* -1/2 b) (* 1/3 b)))) (* 1/2 b)))) a) |
(/.f64 (fma.f64 (neg.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)))) a (*.f64 #s(literal 1/2 binary64) b)) a) |
(* 2 a) |
(*.f64 #s(literal 2 binary64) a) |
(* a (+ 2 (* 2 a))) |
(*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) a) |
(* a (+ 2 (* a (+ 2 (* 4/3 a))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) a #s(literal 2 binary64)) a #s(literal 2 binary64)) a) |
(* a (+ 2 (* a (+ 2 (* a (+ 4/3 (* 2/3 a))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) a #s(literal 4/3 binary64)) a #s(literal 2 binary64)) a #s(literal 2 binary64)) a) |
(* 1/2 b) |
(*.f64 #s(literal 1/2 binary64) b) |
(+ (* 1/2 b) (* a (- (* 1/4 b) (* 1/2 b)))) |
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(+ (* 1/2 b) (* a (- (+ (* 1/4 b) (* a (- (+ (* 1/12 b) (* 1/2 b)) (+ (* 1/4 b) (* 1/3 b))))) (* 1/2 b)))) |
(*.f64 b (fma.f64 #s(literal -1/4 binary64) a #s(literal 1/2 binary64))) |
(+ (* 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)))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 0 binary64)) a #s(literal 0 binary64)) a (*.f64 #s(literal -1/4 binary64) b)) a (*.f64 #s(literal 1/2 binary64) b)) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a))) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a))) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a))) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a))) |
(/ 1 (- 1 (exp a))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 a)) |
(/ 1 (- 1 (exp a))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 a)) |
(/ 1 (- 1 (exp a))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 a)) |
(/ 1 (- 1 (exp a))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 a)) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
a |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(- (exp (* 2 a)) 1) |
(expm1.f64 (+.f64 a a)) |
(- (exp (* 2 a)) 1) |
(expm1.f64 (+.f64 a a)) |
(- (exp (* 2 a)) 1) |
(expm1.f64 (+.f64 a a)) |
(- (exp (* 2 a)) 1) |
(expm1.f64 (+.f64 a a)) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a))) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a))) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a))) |
(/ (- 1 (exp (* 2 a))) (- 1 (exp a))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 a a))) (neg.f64 (expm1.f64 a))) |
(/ 1 (- 1 (exp a))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 a)) |
(/ 1 (- 1 (exp a))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 a)) |
(/ 1 (- 1 (exp a))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 a)) |
(/ 1 (- 1 (exp a))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 a)) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
a |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (+.f64 a a))) |
(- (exp (* 2 a)) 1) |
(expm1.f64 (+.f64 a a)) |
(- (exp (* 2 a)) 1) |
(expm1.f64 (+.f64 a a)) |
(- (exp (* 2 a)) 1) |
(expm1.f64 (+.f64 a a)) |
(- (exp (* 2 a)) 1) |
(expm1.f64 (+.f64 a a)) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(/ (* b (- 1 (exp a))) (- 1 (exp (* 2 a)))) |
(*.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a)))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
| 4 728× | lower-*.f32 |
| 4 724× | lower-*.f64 |
| 4 714× | lower-fma.f32 |
| 4 706× | lower-fma.f64 |
| 4 700× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 227 |
| 0 | 70 | 225 |
| 1 | 276 | 206 |
| 2 | 2204 | 194 |
| 0 | 10068 | 194 |
| 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)) |
(log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) |
(+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64)))) |
#s(approx (exp a) (+.f64 a #s(literal 1 binary64))) |
(+.f64 a #s(literal 1 binary64)) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #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 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64)))) |
#s(approx (exp b) (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))) |
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) |
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) |
(expm1.f64 (*.f64 a #s(literal 2 binary64))) |
(/.f64 b (*.f64 (neg.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 a))))) |
#s(approx (exp b) (+.f64 b #s(literal 1 binary64))) |
(log1p.f64 (exp.f64 a)) |
| Outputs |
|---|
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (expm1.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (expm1.f64 a) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 (expm1.f64 a) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (expm1.f64 a))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (expm1.f64 a)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (expm1.f64 a)))) |
(*.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (expm1.f64 a) (neg.f64 (expm1.f64 a)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (expm1.f64 a))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 (*.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 a))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 a))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 a)) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 (expm1.f64 a) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (expm1.f64 a) (expm1.f64 a))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) (pow.f64 (expm1.f64 a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64)) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (expm1.f64 a) #s(literal -1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 a)) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 a)) (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 a)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) (expm1.f64 a))) |
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (/.f64 #s(literal -1 binary64) (expm1.f64 a))) |
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 a)))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))))) (neg.f64 (expm1.f64 a))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64))) (neg.f64 (expm1.f64 a))) |
(/.f64 (neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64))) (neg.f64 (expm1.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))))) (neg.f64 (expm1.f64 a))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 (expm1.f64 a)) (*.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (expm1.f64 a))))) (*.f64 (neg.f64 (expm1.f64 a)) (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (*.f64 (neg.f64 (expm1.f64 a)) (*.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (expm1.f64 a))))) (*.f64 (neg.f64 (expm1.f64 a)) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 a))) (*.f64 (neg.f64 (expm1.f64 a)) (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))))) (pow.f64 (expm1.f64 a) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (expm1.f64 a))) (*.f64 (neg.f64 (expm1.f64 a)) (*.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))) (*.f64 (neg.f64 (expm1.f64 a)) (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (expm1.f64 a)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (neg.f64 (expm1.f64 a)))) (*.f64 (neg.f64 (expm1.f64 a)) (*.f64 (expm1.f64 (*.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))) (*.f64 (neg.f64 (expm1.f64 a)) (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (neg.f64 (expm1.f64 a))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (expm1.f64 a))) (*.f64 (neg.f64 (expm1.f64 a)) (*.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)))) (*.f64 (neg.f64 (expm1.f64 a)) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (expm1.f64 a)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (neg.f64 (expm1.f64 a)))) (*.f64 (neg.f64 (expm1.f64 a)) (*.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)))) (*.f64 (neg.f64 (expm1.f64 a)) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (neg.f64 (expm1.f64 a))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 a))) (*.f64 (neg.f64 (expm1.f64 a)) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)))) (pow.f64 (expm1.f64 a) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 a)) (*.f64 (neg.f64 (expm1.f64 a)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (neg.f64 (expm1.f64 a)) (expm1.f64 a))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 a))) (*.f64 (neg.f64 (expm1.f64 a)) (expm1.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (expm1.f64 a) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))))) (neg.f64 (expm1.f64 a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64))) (neg.f64 (expm1.f64 a))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))) (expm1.f64 a)) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) #s(literal -1 binary64)) (expm1.f64 a)) |
(/.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal 1 binary64)) (expm1.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)))) (expm1.f64 a)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
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(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (neg.f64 (expm1.f64 a))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) (expm1.f64 a)) |
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(neg.f64 (neg.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64)) |
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(pow.f64 (pow.f64 (expm1.f64 a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
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(*.f64 #s(literal 1 binary64) #s(approx (exp a) #s(literal 1 binary64))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) b)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (exp.f64 a) (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a)))) (/.f64 b (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))))) |
(+.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (exp.f64 a)) (/.f64 b (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))))) |
#s(approx (exp b) (+.f64 b #s(literal 1 binary64))) |
(log1p.f64 (exp.f64 a)) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (log.f64 (expm1.f64 a))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (exp.f64 a)))) |
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (log.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 #s(literal 1 binary64) (exp.f64 a))))) |
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (log1p.f64 (*.f64 (exp.f64 a) (expm1.f64 a)))) |
(-.f64 #s(literal 0 binary64) (log.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 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (exp.f64 a)) #s(literal 0 binary64)) |
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
Compiled 21 661 to 2 830 computations (86.9% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 093 | 5 | 1 098 |
| Fresh | 1 | 10 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 096 | 19 | 1 115 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.7% | (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) |
| ✓ | 51.1% | (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))))) |
| 51.1% | (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))))) | |
| ▶ | 51.7% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) |
| 98.4% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 b (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) | |
| 53.6% | #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)))) | |
| ▶ | 98.4% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) |
| 61.4% | #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)))) | |
| 60.0% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) | |
| 67.6% | #s(approx (log (+ (exp a) (exp b))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))) | |
| 51.6% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) | |
| ✓ | 53.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| ▶ | 49.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) |
| ✓ | 50.9% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| 51.3% | #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))))) | |
| 50.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) | |
| ▶ | 50.5% | #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))))) |
| ▶ | 50.8% | #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))))) |
| 50.7% | #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 471 to 390 computations (17.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (expm1.f64 (*.f64 a #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) | |
| cost-diff | 6720 | (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | (+.f64 a #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) | |
| cost-diff | 0 | (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) | |
| cost-diff | 0 | (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) | |
| cost-diff | 0 | #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) | |
| cost-diff | 128 | (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) | |
| cost-diff | 128 | (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) |
| 15 792× | lower-fma.f32 |
| 15 780× | lower-fma.f64 |
| 3 390× | lower-*.f32 |
| 3 380× | lower-*.f64 |
| 2 822× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 359 |
| 0 | 89 | 359 |
| 1 | 137 | 359 |
| 2 | 262 | 359 |
| 3 | 734 | 355 |
| 4 | 1679 | 355 |
| 5 | 4948 | 355 |
| 0 | 8414 | 350 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) |
(*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) |
(*.f64 b (expm1.f64 a)) |
b |
(expm1.f64 a) |
a |
(expm1.f64 (*.f64 a #s(literal 6 binary64))) |
(*.f64 a #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 a) #s(literal 4 binary64)) |
(exp.f64 a) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(pow.f64 (exp.f64 a) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log1p.f64 (exp.f64 a)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) |
(log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))) |
#s(approx (exp a) (+.f64 a #s(literal 1 binary64))) |
(+.f64 a #s(literal 1 binary64)) |
a |
#s(literal 1 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
a |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(*.f64 a a) |
a |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) |
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) |
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) |
b |
(expm1.f64 (*.f64 a #s(literal 2 binary64))) |
(*.f64 a #s(literal 2 binary64)) |
a |
#s(literal 2 binary64) |
(expm1.f64 a) |
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) |
(+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) |
(*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (expm1.f64 a)) |
(/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) |
(*.f64 b (expm1.f64 a)) |
(*.f64 (expm1.f64 a) b) |
b |
(expm1.f64 a) |
a |
(expm1.f64 (*.f64 a #s(literal 6 binary64))) |
(expm1.f64 (*.f64 #s(literal 6 binary64) a)) |
(*.f64 a #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) a) |
#s(literal 6 binary64) |
(+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) |
(fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) |
(+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) |
(pow.f64 (exp.f64 a) #s(literal 4 binary64)) |
(exp.f64 a) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(pow.f64 (exp.f64 a) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log1p.f64 (exp.f64 a)) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a)))) |
(log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))) |
(log1p.f64 #s(approx (exp a) (+.f64 #s(literal 1 binary64) a))) |
#s(approx (exp a) (+.f64 a #s(literal 1 binary64))) |
#s(approx (exp a) (+.f64 #s(literal 1 binary64) a)) |
(+.f64 a #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) a) |
a |
#s(literal 1 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
a |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) |
(*.f64 a a) |
a |
#s(literal -1/192 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (-.f64 #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))) |
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) |
(-.f64 #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))) |
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) |
(/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) |
b |
(expm1.f64 (*.f64 a #s(literal 2 binary64))) |
(expm1.f64 (*.f64 #s(literal 2 binary64) a)) |
(*.f64 a #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) a) |
a |
#s(literal 2 binary64) |
(expm1.f64 a) |
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) | |
| accuracy | 0.0234375 | (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.9995684296183192 | #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) | |
| accuracy | 2.368937337539097 | #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) | |
| accuracy | 1.9686043638556874 | #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) | |
| accuracy | 2.412936294564867 | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| accuracy | 0 | (log.f64 #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) | |
| accuracy | 1.8837813243965744 | #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) | |
| accuracy | 2.412936294564867 | #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 a #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))) | |
| accuracy | 2.0821581042002704 | #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) | |
| accuracy | 2.412936294564867 | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) | |
| accuracy | 0.07421875 | (expm1.f64 (*.f64 a #s(literal 6 binary64))) | |
| accuracy | 0.10546875 | (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) | |
| accuracy | 0.9995684296183192 | #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) | |
| accuracy | 14.849706756341678 | (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) |
| 49.0ms | 116× | 1 | exit |
| 38.0ms | 123× | 0 | valid |
| 12.0ms | 7× | 2 | valid |
| 7.0ms | 10× | 1 | valid |
Compiled 295 to 45 computations (84.7% saved)
ival-mult: 16.0ms (19.7% of total)adjust: 12.0ms (14.7% of total)ival-expm1: 12.0ms (14.7% of total)ival-add: 12.0ms (14.7% of total)ival-log: 7.0ms (8.6% of total)ival-exp: 5.0ms (6.1% of total)ival-div: 4.0ms (4.9% of total)const: 4.0ms (4.9% of total)ival-pow: 3.0ms (3.7% of total)ival-pow2: 3.0ms (3.7% of total)ival-log1p: 2.0ms (2.5% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) (patch #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (patch (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))) (patch (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) (patch #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 a #s(literal 1 binary64)) (patch (+.f64 a #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #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))))) (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 #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)))) (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 (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) (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 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #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))))) (patch #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))))) #<representation binary64>) () ()) |
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (patch (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (expm1.f64 (*.f64 a #s(literal 2 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (expm1.f64 (*.f64 a #s(literal 6 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 6 binary64))) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (patch (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (log (+ 1 (exp a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) (patch (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) (taylor 0 b) (#s(alt (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/192 (pow a 4)) (taylor -inf a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) (taylor -inf a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)) (taylor -inf a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192)) (taylor -inf a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/192 (pow a 3)) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2)))))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2)))))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2)))))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) (patch (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ (exp a) (exp b))) (taylor -inf a) (#s(alt #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) (patch #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (- (exp (* 2 a)) 1)) (taylor -inf a) (#s(alt (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (patch (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (- (exp (* 2 a)) 1)) (taylor -inf a) (#s(alt (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (patch (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (- (exp (* 2 a)) 1)) (taylor -inf a) (#s(alt (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (patch (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ b (- (exp (* 2 a)) 1)) (taylor -inf a) (#s(alt (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (patch (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* 2 a)) 1) (taylor -inf a) (#s(alt (expm1.f64 (*.f64 a #s(literal 2 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* 2 a)) 1) (taylor -inf a) (#s(alt (expm1.f64 (*.f64 a #s(literal 2 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* 2 a)) 1) (taylor -inf a) (#s(alt (expm1.f64 (*.f64 a #s(literal 2 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* 2 a)) 1) (taylor -inf a) (#s(alt (expm1.f64 (*.f64 a #s(literal 2 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* 6 a)) 1) (taylor -inf a) (#s(alt (expm1.f64 (*.f64 a #s(literal 6 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* 6 a)) 1) (taylor -inf a) (#s(alt (expm1.f64 (*.f64 a #s(literal 6 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* 6 a)) 1) (taylor -inf a) (#s(alt (expm1.f64 (*.f64 a #s(literal 6 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp (* 6 a)) 1) (taylor -inf a) (#s(alt (expm1.f64 (*.f64 a #s(literal 6 binary64))) (patch (expm1.f64 (*.f64 a #s(literal 6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/192 (pow a 2)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (patch (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (patch (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (patch (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) (patch (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (log (+ 1 (exp a))) (taylor -inf a) (#s(alt #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) (patch #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | a | @ | -inf | ((+ (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ 1 (exp a)))) (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ (exp a) (exp b))) (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (- (exp (* a 6)) 1) (log 2) (+ (* (* a a) -1/192) 1/8) (log (+ 1 (exp a)))) |
| 18.0ms | a | @ | inf | ((+ (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ 1 (exp a)))) (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ (exp a) (exp b))) (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (- (exp (* a 6)) 1) (log 2) (+ (* (* a a) -1/192) 1/8) (log (+ 1 (exp a)))) |
| 12.0ms | b | @ | -inf | ((+ (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ 1 (exp a)))) (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ (exp a) (exp b))) (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (- (exp (* a 6)) 1) (log 2) (+ (* (* a a) -1/192) 1/8) (log (+ 1 (exp a)))) |
| 10.0ms | b | @ | inf | ((+ (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ 1 (exp a)))) (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ (exp a) (exp b))) (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (- (exp (* a 6)) 1) (log 2) (+ (* (* a a) -1/192) 1/8) (log (+ 1 (exp a)))) |
| 5.0ms | b | @ | 0 | ((+ (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ 1 (exp a)))) (* (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (+ (+ (pow (exp a) 4) 1) (pow (exp a) 2))) (log (+ (exp a) (exp b))) (/ (* b (- (exp a) 1)) (- (exp (* a 6)) 1)) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (exp a) (+ a 1) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (+ (* 1/8 a) 1/2) (log (+ (exp a) (exp b))) (log (+ 1 (exp a))) (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) (+ (* (/ b (- (exp (* a 2)) 1)) (- (exp a) 1)) (log (+ 1 (exp a)))) (log (+ (exp a) (exp b))) (/ b (- (exp (* a 2)) 1)) (- (exp (* a 2)) 1) (- (exp (* a 6)) 1) (log 2) (+ (* (* a a) -1/192) 1/8) (log (+ 1 (exp a)))) |
| 1× | egg-herbie |
| 9 424× | lower-fma.f64 |
| 9 424× | lower-fma.f32 |
| 3 404× | lower-*.f64 |
| 3 404× | lower-*.f32 |
| 3 174× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 383 | 5081 |
| 1 | 1120 | 4948 |
| 2 | 3560 | 4807 |
| 3 | 7700 | 4807 |
| 0 | 8047 | 3979 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(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)))))) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(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 (+ (* 1/2 (* 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 (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) |
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) |
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) |
(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)))))) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(* b (+ (/ (log (+ 1 (exp a))) b) (/ (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1)) (- (exp (* 6 a)) 1)))) |
(* b (+ (/ (log (+ 1 (exp a))) b) (/ (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1)) (- (exp (* 6 a)) 1)))) |
(* b (+ (/ (log (+ 1 (exp a))) b) (/ (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1)) (- (exp (* 6 a)) 1)))) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(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))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1)))) |
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1)))) |
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1)))) |
(* b (- (+ (/ (exp a) (- (exp (* 2 a)) 1)) (/ (log (+ 1 (exp a))) b)) (/ 1 (- (exp (* 2 a)) 1)))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1)) (- (exp (* 6 a)) 1)))))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1)) (- (exp (* 6 a)) 1)))))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1)) (- (exp (* 6 a)) 1)))))) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(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))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1)) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1)))))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1)))))) |
(* -1 (* b (+ (* -1 (/ (log (+ 1 (exp a))) b)) (* -1 (/ (- (exp a) 1) (- (exp (* 2 a)) 1)))))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(+ (log 2) (* 1/2 b)) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 5/4 b)) (* 3/2 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 5/4 b) (* a (- (+ 1/8 (* 9/4 b)) (+ (* 3 b) (* 3 (- (* 5/4 b) (* 3/2 b)))))))) (* 3/2 b))))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (+ (* 5/4 b) (* a (- (+ 1/8 (+ (* 9/4 b) (* a (- (* 145/48 b) (+ (* 3 (- (* 9/4 b) (+ (* 3 b) (* 3 (- (* 5/4 b) (* 3/2 b)))))) (+ (* 9/2 b) (* 6 (- (* 5/4 b) (* 3/2 b))))))))) (+ (* 3 b) (* 3 (- (* 5/4 b) (* 3/2 b)))))))) (* 3/2 b))))) |
(* 1/2 b) |
(+ (* 1/2 b) (* a (- (* 5/4 b) (* 3/2 b)))) |
(+ (* 1/2 b) (* a (- (+ (* 5/4 b) (* a (- (* 9/4 b) (+ (* 3 b) (* 3 (- (* 5/4 b) (* 3/2 b))))))) (* 3/2 b)))) |
(+ (* 1/2 b) (* a (- (+ (* 5/4 b) (* a (- (+ (* 9/4 b) (* a (- (* 145/48 b) (+ (* 3 (- (* 9/4 b) (+ (* 3 b) (* 3 (- (* 5/4 b) (* 3/2 b)))))) (+ (* 9/2 b) (* 6 (- (* 5/4 b) (* 3/2 b)))))))) (+ (* 3 b) (* 3 (- (* 5/4 b) (* 3/2 b))))))) (* 3/2 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)))))) |
(* 1/6 b) |
(+ (* 1/6 b) (* a (- (* 1/12 b) (* 1/2 b)))) |
(+ (* 1/6 b) (* a (- (+ (* 1/12 b) (* a (- (* 1/36 b) (+ b (* 3 (- (* 1/12 b) (* 1/2 b))))))) (* 1/2 b)))) |
(+ (* 1/6 b) (* a (- (+ (* 1/12 b) (* a (- (+ (* 1/36 b) (* a (- (* 1/144 b) (+ (* 3/2 b) (+ (* 3 (- (* 1/36 b) (+ b (* 3 (- (* 1/12 b) (* 1/2 b)))))) (* 6 (- (* 1/12 b) (* 1/2 b)))))))) (+ b (* 3 (- (* 1/12 b) (* 1/2 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)))))) |
1 |
(+ 1 a) |
(+ 1 a) |
(+ 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) |
(+ (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) |
(+ (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 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
1/2 |
(+ 1/2 (* 1/8 a)) |
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))) |
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))) |
(+ (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)))))) |
(* 1/2 (/ b a)) |
(/ (+ (* -1/2 (* a b)) (* 1/2 b)) a) |
(/ (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/2 b) (* 1/3 b)))) (* 1/2 b)))) a) |
(/ (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1 (+ (* -1/2 b) (* 1/3 b))) (+ (* -1/3 b) (* 1/6 b))))) (+ (* -1/2 b) (* 1/3 b)))) (* 1/2 b)))) a) |
(* 2 a) |
(* a (+ 2 (* 2 a))) |
(* a (+ 2 (* a (+ 2 (* 4/3 a))))) |
(* a (+ 2 (* a (+ 2 (* a (+ 4/3 (* 2/3 a))))))) |
(* 6 a) |
(* a (+ 6 (* 18 a))) |
(* a (+ 6 (* a (+ 18 (* 36 a))))) |
(* a (+ 6 (* a (+ 18 (* a (+ 36 (* 54 a))))))) |
1/8 |
(+ 1/8 (* -1/192 (pow a 2))) |
(+ 1/8 (* -1/192 (pow a 2))) |
(+ 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 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(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) |
a |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 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))) |
(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))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(* -1/192 (pow a 4)) |
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)) |
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (+ (* 1/8 (/ 1 (pow a 2))) (/ (log 2) (pow a 4)))) 1/192)) |
(* -1/192 (pow a 3)) |
(* (pow a 3) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)) |
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(- (exp (* 2 a)) 1) |
(- (exp (* 2 a)) 1) |
(- (exp (* 2 a)) 1) |
(- (exp (* 2 a)) 1) |
(- (exp (* 6 a)) 1) |
(- (exp (* 6 a)) 1) |
(- (exp (* 6 a)) 1) |
(- (exp (* 6 a)) 1) |
(* -1/192 (pow a 2)) |
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(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) |
a |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 1 a))) |
(* a (+ 1 (/ 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))) |
(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))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(* -1/192 (pow a 4)) |
(* (pow a 4) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(* (pow a 4) (- (+ (/ 1/2 (pow a 3)) (* 1/8 (/ 1 (pow a 2)))) 1/192)) |
(* (pow a 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) a)) 1/2) (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) 1/192)) |
(* -1/192 (pow a 3)) |
(* -1 (* (pow a 3) (- 1/192 (* 1/8 (/ 1 (pow a 2)))))) |
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2)))))) |
(* -1 (* (pow a 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 a))) (pow a 2)))))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(+ (log (+ 1 (exp a))) (/ (* b (- (exp a) 1)) (- (exp (* 2 a)) 1))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(log (+ (exp a) (exp b))) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(/ b (- (exp (* 2 a)) 1)) |
(- (exp (* 2 a)) 1) |
(- (exp (* 2 a)) 1) |
(- (exp (* 2 a)) 1) |
(- (exp (* 2 a)) 1) |
(- (exp (* 6 a)) 1) |
(- (exp (* 6 a)) 1) |
(- (exp (* 6 a)) 1) |
(- (exp (* 6 a)) 1) |
(* -1/192 (pow a 2)) |
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
(log (+ 1 (exp a))) |
| Outputs |
|---|
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(fma.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(fma.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(fma.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(*.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a)))) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(*.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a)))) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(*.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a)))) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(*.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a)))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (- (/ (exp a) (- (exp (* 2 a)) 1)) (/ 1 (- (exp (* 2 a)) 1))))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a)))) |
(+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) b (log1p.f64 (exp.f64 a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) |
(/ b (- (exp (* 2 a)) 1)) |
(/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(*.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a)))) |
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(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 b))) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) a #s(literal 1/2 binary64)) a #s(literal 1 binary64)) a #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+.f64 (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 b))) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/8 a)) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/8 a)) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/8 a)) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+.f64 (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 b))) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/8 a)) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) |
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(+ (log 2) (* 1/2 b)) |
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* 1/4 b)) (* 1/2 b))))) |
(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)))) |
(+ (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))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a (fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))) a (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))) |
(+ (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))))) |
(fma.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) b #s(literal 0 binary64)) a #s(literal 0 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)))) |
(log (+ 1 (exp b))) |
(log1p.f64 (exp.f64 b)) |
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b)))) |
(+.f64 (/.f64 a (+.f64 (exp.f64 b) #s(literal 1 binary64))) (log1p.f64 (exp.f64 b))) |
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) a (log1p.f64 (exp.f64 b))) |
(* 1/2 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (* a b)) (* 1/2 b)) a) |
(*.f64 b (/.f64 (fma.f64 #s(literal -1/2 binary64) a #s(literal 1/2 binary64)) a)) |
(/ (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/2 b) (* 1/3 b)))) (* 1/2 b)))) a) |
(/.f64 (fma.f64 (neg.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)))) a (*.f64 #s(literal 1/2 binary64) b)) a) |
(/ (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1 (+ (* -1/2 b) (* 1/3 b))) (+ (* -1/3 b) (* 1/6 b))))) (+ (* -1/2 b) (* 1/3 b)))) (* 1/2 b)))) a) |
(/.f64 (fma.f64 (neg.f64 (*.f64 b (fma.f64 #s(literal -1/6 binary64) a #s(literal 1/2 binary64)))) a (*.f64 #s(literal 1/2 binary64) b)) a) |
(* 2 a) |
(*.f64 #s(literal 2 binary64) a) |
(* a (+ 2 (* 2 a))) |
(*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 2 binary64)) a) |
(* a (+ 2 (* a (+ 2 (* 4/3 a))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) a #s(literal 2 binary64)) a #s(literal 2 binary64)) a) |
(* a (+ 2 (* a (+ 2 (* a (+ 4/3 (* 2/3 a))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) a #s(literal 4/3 binary64)) a #s(literal 2 binary64)) a #s(literal 2 binary64)) a) |
(* 6 a) |
(*.f64 #s(literal 6 binary64) a) |
(* a (+ 6 (* 18 a))) |
(*.f64 (fma.f64 #s(literal 18 binary64) a #s(literal 6 binary64)) a) |
(* a (+ 6 (* a (+ 18 (* 36 a))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 36 binary64) a #s(literal 18 binary64)) a #s(literal 6 binary64)) a) |
(* a (+ 6 (* a (+ 18 (* a (+ 36 (* 54 a))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 54 binary64) a #s(literal 36 binary64)) a #s(literal 18 binary64)) a #s(literal 6 binary64)) a) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* -1/192 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(+ 1/8 (* -1/192 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(+ 1/8 (* -1/192 (pow a 2))) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 a)) |
(fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* 1/8 a)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(fma.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(fma.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(fma.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))) |
(+ (log (+ 1 (exp a))) (/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1))) |
(fma.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(*.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a)))) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(*.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a)))) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(*.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a)))) |
(/ (* b (* (+ 1 (+ (pow (exp a) 2) (pow (exp a) 4))) (- (exp a) 1))) (- (exp (* 6 a)) 1)) |
(*.f64 (fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a)))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) |
(/ (* b (- (exp a) 1)) (- (exp (* 6 a)) 1)) |
(/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ (exp a) (exp b))) |
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
a |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
(+.f64 a #s(literal 1 binary64)) |
(* a (+ 1 (/ 1 a))) |
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(* 1/8 a) |
(*.f64 #s(literal 1/8 binary64) a) |
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(* a (+ 1/8 (* 1/2 (/ 1 a)))) |
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(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
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(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) a) a) |
(* (pow a 2) (- (* 1/8 (/ 1 (pow a 2))) 1/192)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) a) a) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
(log (+ 1 (exp a))) |
(log1p.f64 (exp.f64 a)) |
| 3 942× | lower-*.f32 |
| 3 932× | lower-*.f64 |
| 3 730× | lower-/.f32 |
| 3 726× | lower-/.f64 |
| 3 622× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 288 |
| 0 | 89 | 288 |
| 1 | 339 | 252 |
| 2 | 2713 | 252 |
| 0 | 8187 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a))) |
(*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) |
(/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) |
(log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64)))) |
#s(approx (exp a) (+.f64 a #s(literal 1 binary64))) |
(+.f64 a #s(literal 1 binary64)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) |
(/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) |
(expm1.f64 (*.f64 a #s(literal 2 binary64))) |
(expm1.f64 (*.f64 a #s(literal 6 binary64))) |
(log.f64 #s(literal 2 binary64)) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a))) (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a)))) (*.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a))) (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a))) (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) (log1p.f64 (exp.f64 a))) (-.f64 (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a))) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a)) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (*.f64 (expm1.f64 a) b)) (expm1.f64 (*.f64 a #s(literal 12 binary64)))) (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (*.f64 (expm1.f64 a) b)) (expm1.f64 (*.f64 a #s(literal 18 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 12 binary64))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 4 binary64) a))) (fma.f64 (exp.f64 a) (exp.f64 a) #s(literal 1 binary64)) (log1p.f64 (exp.f64 a))) |
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (fma.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a)))) |
(fma.f64 (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) (*.f64 (expm1.f64 a) b)) (pow.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) a)) #s(literal -1 binary64)) (fma.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a)))) |
(fma.f64 (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (*.f64 (expm1.f64 a) b)) (pow.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) a)) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a) (log1p.f64 (exp.f64 a))) |
(fma.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (fma.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a)))) |
(fma.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (/.f64 (*.f64 (expm1.f64 a) b) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64))) (fma.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a)))) |
(fma.f64 (*.f64 (expm1.f64 a) b) (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 (*.f64 (expm1.f64 a) b) (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) a)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (fma.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a)))) |
(fma.f64 (*.f64 (expm1.f64 a) b) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a))) |
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 b (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 2 binary64) a))) (log1p.f64 (exp.f64 a))) |
(fma.f64 b (*.f64 (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64)))) (fma.f64 (*.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) b) (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (log1p.f64 (exp.f64 a)))) |
(fma.f64 b (*.f64 (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) (expm1.f64 a)) (log1p.f64 (exp.f64 a))) |
(fma.f64 b (*.f64 (/.f64 (expm1.f64 a) (expm1.f64 (*.f64 #s(literal 6 binary64) a))) (fma.f64 (exp.f64 a) (exp.f64 a) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 4 binary64))))) (log1p.f64 (exp.f64 a))) |
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(+.f64 (pow.f64 (exp.f64 a) #s(literal 6 binary64)) #s(literal -1 binary64)) |
(log.f64 #s(literal 2 binary64)) |
(*.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))) (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 a a))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)))) |
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 a a)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64)) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))) (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) #s(literal -1/64 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a a) #s(literal -1/1536 binary64)))) (fma.f64 #s(literal -1/7077888 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 1/512 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/192 binary64) a) a #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) |
(fma.f64 a (*.f64 #s(literal -1/192 binary64) a) #s(literal 1/8 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36864 binary64) (pow.f64 a #s(literal 4 binary64))) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal -1/192 binary64) (*.f64 a a) #s(literal -1/8 binary64)))) |
(+.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 a a))) |
#s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))) |
Compiled 34 800 to 3 972 computations (88.6% saved)
25 alts after pruning (18 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 124 | 9 | 1 133 |
| Fresh | 1 | 9 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 127 | 25 | 1 152 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.7% | (log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) |
| ✓ | 51.1% | (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))))) |
| 51.1% | (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))))) | |
| 51.2% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b #s(approx (- (exp (* a 2)) 1) (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 binary64))))) | |
| 98.4% | #s(approx (log (+ (exp a) (exp b))) (fma.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 b (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) | |
| 53.6% | #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)))) | |
| 54.2% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) #s(approx (- (exp (* a 6)) 1) (*.f64 #s(literal 6 binary64) a))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) | |
| 61.4% | #s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) a)) (*.f64 (expm1.f64 a) b))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) | |
| 61.4% | #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)))) | |
| 60.0% | #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) | |
| 67.6% | #s(approx (log (+ (exp a) (exp b))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))) | |
| 51.6% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) | |
| ✓ | 53.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
| ✓ | 49.5% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))))) |
| ✓ | 50.9% | #s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
| 51.3% | #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))))) | |
| 50.1% | #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) | |
| ✓ | 50.5% | #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))))) |
| ✓ | 50.8% | #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))))) |
| 50.8% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 a a) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) a #s(literal -1/2 binary64))) a (log.f64 #s(literal 2 binary64))))) | |
| 50.7% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) | |
| 2.3% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))))) | |
| 2.4% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a)))) | |
| 27.6% | #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) a) a)))) | |
| 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 a a) #s(literal 1/8 binary64))))) |
Compiled 861 to 502 computations (41.7% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a)))) |
#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 a #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 a a) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) a #s(literal -1/2 binary64))) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b #s(approx (- (exp (* a 2)) 1) (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 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))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #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)))) #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))) (fma.f64 (/.f64 b (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (expm1.f64 a) (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)))) (/.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 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) #s(approx (- (exp (* a 6)) 1) (*.f64 #s(literal 6 binary64) a))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (/.f64 (*.f64 b (expm1.f64 a)) (expm1.f64 (*.f64 a #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (*.f64 (pow.f64 (expm1.f64 (*.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 b (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal -1 binary64)))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) a)) (*.f64 (expm1.f64 a) b))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
6 calls:
| 12.0ms | b |
| 10.0ms | a |
| 9.0ms | (exp.f64 a) |
| 9.0ms | (exp.f64 b) |
| 8.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | a |
| 98.4% | 1 | b |
| 98.4% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 98.4% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 98.4% | 1 | (exp.f64 a) |
| 98.4% | 1 | (exp.f64 b) |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a)))) |
#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 a #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 a a) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) a #s(literal -1/2 binary64))) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b #s(approx (- (exp (* a 2)) 1) (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a) #s(approx (log (+ 1 (exp a))) (log.f64 #s(literal 2 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))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
6 calls:
| 11.0ms | a |
| 8.0ms | b |
| 6.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 6.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 6.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 98.0% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 60.0% | 1 | (exp.f64 b) |
| 98.5% | 2 | a |
| 70.6% | 4 | b |
| 98.5% | 2 | (exp.f64 a) |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a)))) |
#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 a #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 a a) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) a #s(literal -1/2 binary64))) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
(log.f64 #s(approx (+ (exp a) (exp b)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (fma.f64 (/.f64 b #s(approx (- (exp (* a 2)) 1) (*.f64 #s(literal 2 binary64) a))) (expm1.f64 a) #s(approx (log (+ 1 (exp 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 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (exp.f64 a)))) |
2 calls:
| 8.0ms | (exp.f64 a) |
| 7.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | a |
| 98.4% | 2 | (exp.f64 a) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a)))) |
#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 a #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 a a) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) a #s(literal -1/2 binary64))) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) a) a)))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 b))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) (exp.f64 b))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) #s(literal 1 binary64)))) |
(log.f64 (+.f64 (exp.f64 a) #s(approx (exp b) (+.f64 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 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 (exp.f64 a))) |
2 calls:
| 6.0ms | a |
| 5.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 2 | a |
| 98.1% | 2 | (exp.f64 a) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a)))) |
#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 a #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) #s(literal 1 binary64)) #s(approx (exp b) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) b #s(literal 1/2 binary64)) b #s(literal 1 binary64)) b #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) a) (log 2)) (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 1/192 binary64)) (pow.f64 a #s(literal 4 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 a a) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) a #s(literal -1/2 binary64))) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) a)) a)) a) a)))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (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 | a |
| 4.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 4.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 2 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 96.7% | 2 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 97.1% | 2 | a |
| 97.1% | 2 | (exp.f64 a) |
Compiled 14 to 16 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a)))) |
#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 a #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
(log.f64 (+.f64 #s(approx (exp a) (+.f64 a #s(literal 1 binary64))) #s(approx (exp b) (+.f64 b #s(literal 1 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)))) (fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64))))) |
6 calls:
| 4.0ms | (exp.f64 b) |
| 3.0ms | b |
| 3.0ms | a |
| 3.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 3.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 1 | (exp.f64 b) |
| 51.3% | 1 | b |
| 51.3% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 51.3% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 51.3% | 1 | a |
| 51.3% | 1 | (exp.f64 a) |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a)))) |
#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 a #s(literal 1 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(literal 1/2 binary64) a (log.f64 #s(literal 2 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 #s(approx (+ (* (+ (* (* a a) -1/192) 1/8) a) 1/2) #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
6 calls:
| 3.0ms | b |
| 3.0ms | 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 |
|---|---|---|
| 50.9% | 1 | a |
| 50.9% | 1 | b |
| 50.9% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 50.9% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 50.9% | 1 | (exp.f64 b) |
| 50.9% | 1 | (exp.f64 a) |
Compiled 17 to 21 computations (-23.5% saved)
Total -0.6b remaining (-1%)
Threshold costs -0.6b (-1%)
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a)))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
6 calls:
| 2.0ms | b |
| 1.0ms | a |
| 1.0ms | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 1.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.3% | 1 | b |
| 3.3% | 1 | a |
| 3.3% | 1 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 3.3% | 1 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 3.3% | 1 | (exp.f64 b) |
| 3.3% | 1 | (exp.f64 a) |
Compiled 17 to 21 computations (-23.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.68122720793653e-13 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.68122720793653e-13 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.68122720793653e-13 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.68122720793653e-13 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | egg-herbie |
| 8× | +-commutative-binary64-+.f64 |
| 4× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 265 |
| 1 | 66 | 265 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
(if (<=.f64 (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 (exp.f64 a) #s(literal 1 binary64))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(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 (exp.f64 a) #s(literal 1 binary64))))) #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (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 (exp.f64 a) #s(literal 1 binary64))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (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 (exp.f64 a) #s(literal 1 binary64))))) #s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ 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))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
| Outputs |
|---|
#s(approx (log (+ (exp a) (exp b))) (+.f64 (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))) |
#s(approx (log (+ (exp a) (exp b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #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 (exp.f64 a) #s(literal 1 binary64))))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(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 0 binary64)) #s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ b (+ (exp a) 1)) (log (+ 1 (exp a)))) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(approx (log (+ (exp a) (exp b))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (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))) (+.f64 #s(approx (/ b (+ (exp a) 1)) (*.f64 #s(literal 1/2 binary64) b)) (log1p.f64 (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 (exp.f64 a) #s(literal 1 binary64))))) #s(approx (log (+ (exp a) (exp b))) (log1p.f64 (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 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 (exp.f64 a) #s(literal 1 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)))))) |
(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))) #s(approx (log (+ 1 (exp a))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/2 binary64)) a (log.f64 #s(literal 2 binary64)))))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (+ (/ 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))) (log1p.f64 #s(approx (exp a) #s(literal 1 binary64)))) |
#s(approx (log (+ (exp a) (exp b))) #s(approx (log (+ 1 (exp a))) #s(approx (+ (* (+ (* 1/8 a) 1/2) a) (log 2)) (*.f64 (*.f64 a a) #s(literal 1/8 binary64))))) |
| 19 576× | lower-fma.f64 |
| 19 576× | lower-fma.f32 |
| 18 508× | lower-fma.f64 |
| 18 508× | lower-fma.f32 |
| 9 424× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 383 | 5081 |
| 1 | 1120 | 4948 |
| 2 | 3560 | 4807 |
| 3 | 7700 | 4807 |
| 0 | 8047 | 3979 |
| 0 | 99 | 564 |
| 1 | 274 | 564 |
| 2 | 753 | 556 |
| 3 | 2519 | 548 |
| 0 | 8543 | 500 |
| 0 | 185 | 2985 |
| 1 | 527 | 2962 |
| 2 | 1555 | 2915 |
| 3 | 5164 | 2901 |
| 0 | 8091 | 2611 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 196 to 139 computations (29.1% saved)
Compiled 310 to 156 computations (49.7% saved)
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