Exp of sum of logs
Time bar (total: 2.1s)
| 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% | 50% | 0.1% | 0% | 50% | 0% | 2 |
| 100% | 25% | 0% | 0.1% | 0% | 74.9% | 0% | 3 |
Compiled 8 to 8 computations (0% saved)
| 790.0ms | 8 256× | 0 | valid |
ival-log: 210.0ms (58.8% of total)ival-exp: 87.0ms (24.4% of total)ival-add: 50.0ms (14% of total)ival-true: 6.0ms (1.7% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 149 | 18 | (1.4489523248434045e-132 5.704223506548096e-185) | 6 | (1.8249801718093043e-169 4.7615498199028085e+134) | (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) |
| 3 | 0 | - | 2 | (8.880559199538253e+191 2.437968892064941e-188) | (+.f64 (log.f64 a) (log.f64 b)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (log.f64 a) |
| 0 | 0 | - | 0 | - | (log.f64 b) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f64 | (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) | sensitivity | 161 | 17 |
+.f64 | (+.f64 (log.f64 a) (log.f64 b)) | cancellation | 1 | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 148 | 21 |
| - | 14 | 73 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 148 | 18 | 3 |
| - | 14 | 2 | 71 |
| number | freq |
|---|---|
| 0 | 94 |
| 1 | 162 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 34.0ms | 512× | 0 | valid |
Compiled 44 to 22 computations (50% saved)
ival-log: 12.0ms (58.1% of total)ival-exp: 5.0ms (24.2% of total)ival-add: 2.0ms (9.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 28× | distribute-lft-neg-in |
| 18× | neg-sub0 |
| 16× | neg-mul-1 |
| 14× | distribute-neg-in |
| 14× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 38 |
| 1 | 36 | 23 |
| 2 | 70 | 17 |
| 3 | 111 | 17 |
| 4 | 164 | 17 |
| 5 | 170 | 17 |
| 0 | 6 | 6 |
| 0 | 10 | 6 |
| 1 | 14 | 3 |
| 2 | 19 | 3 |
| 0 | 19 | 3 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (+.f64 (log.f64 a) (log.f64 b))) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
(negabs b)
(negabs a)
(sort a b)
Compiled 6 to 6 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.6% | (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) |
Compiled 6 to 6 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 b) | |
| cost-diff | 0 | (log.f64 a) | |
| cost-diff | 0 | (+.f64 (log.f64 a) (log.f64 b)) | |
| cost-diff | 19072 | (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) |
| 6× | lower-exp.f32 |
| 4× | lower-*.f64 |
| 4× | lower-exp.f64 |
| 4× | lower-*.f32 |
| 4× | lift-log.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 14 | 14 |
| 2 | 19 | 14 |
| 0 | 19 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (+.f64 (log.f64 a) (log.f64 b))) |
(+.f64 (log.f64 a) (log.f64 b)) |
(log.f64 a) |
a |
(log.f64 b) |
b |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 b) | |
| accuracy | 0 | (log.f64 a) | |
| accuracy | 0.557790302015743 | (+.f64 (log.f64 a) (log.f64 b)) | |
| accuracy | 3.9909097401264093 | (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) |
| 17.0ms | 256× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-log: 6.0ms (58.8% of total)ival-exp: 3.0ms (29.4% of total)ival-add: 1.0ms (9.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (log.f64 b) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (log.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (log.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (log.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (log.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (log.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (log.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (log.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (log.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (log.f64 b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (log.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (log.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (log.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (log.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (log.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (log.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (log.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (log.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (log.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (log.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (log.f64 a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (log.f64 a) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 75.0ms | b | @ | 0 | ((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b)) |
| 56.0ms | a | @ | inf | ((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b)) |
| 52.0ms | b | @ | -inf | ((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b)) |
| 18.0ms | a | @ | 0 | ((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b)) |
| 13.0ms | a | @ | -inf | ((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b)) |
| 1× | egg-herbie |
| 8 608× | lower-fma.f64 |
| 8 608× | lower-fma.f32 |
| 1 984× | lower--.f64 |
| 1 984× | lower--.f32 |
| 1 856× | lower-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 312 |
| 1 | 70 | 240 |
| 2 | 136 | 240 |
| 3 | 332 | 240 |
| 4 | 715 | 240 |
| 5 | 1115 | 240 |
| 6 | 1426 | 240 |
| 7 | 1673 | 240 |
| 8 | 2148 | 240 |
| 9 | 2848 | 240 |
| 10 | 3176 | 240 |
| 11 | 3182 | 240 |
| 12 | 3924 | 240 |
| 13 | 4982 | 240 |
| 14 | 5078 | 240 |
| 15 | 5086 | 240 |
| 16 | 5094 | 240 |
| 17 | 5094 | 240 |
| 18 | 5162 | 240 |
| 19 | 5170 | 240 |
| 20 | 5174 | 240 |
| 21 | 7815 | 240 |
| 22 | 7908 | 240 |
| 0 | 8036 | 240 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (+ (log a) (log b))) |
(exp (+ (log a) (log b))) |
(exp (+ (log a) (log b))) |
(exp (+ (log a) (log b))) |
(+ (log a) (log b)) |
(+ (log a) (log b)) |
(+ (log a) (log b)) |
(+ (log a) (log b)) |
(log b) |
(log b) |
(log b) |
(log b) |
(exp (+ (log a) (* -1 (log (/ 1 b))))) |
(exp (+ (log a) (* -1 (log (/ 1 b))))) |
(exp (+ (log a) (* -1 (log (/ 1 b))))) |
(exp (+ (log a) (* -1 (log (/ 1 b))))) |
(+ (log a) (* -1 (log (/ 1 b)))) |
(+ (log a) (* -1 (log (/ 1 b)))) |
(+ (log a) (* -1 (log (/ 1 b)))) |
(+ (log a) (* -1 (log (/ 1 b)))) |
(* -1 (log (/ 1 b))) |
(* -1 (log (/ 1 b))) |
(* -1 (log (/ 1 b))) |
(* -1 (log (/ 1 b))) |
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))) |
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))) |
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))) |
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))) |
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))) |
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))) |
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))) |
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))) |
(+ (log -1) (* -1 (log (/ -1 b)))) |
(+ (log -1) (* -1 (log (/ -1 b)))) |
(+ (log -1) (* -1 (log (/ -1 b)))) |
(+ (log -1) (* -1 (log (/ -1 b)))) |
(exp (+ (log a) (log b))) |
(exp (+ (log a) (log b))) |
(exp (+ (log a) (log b))) |
(exp (+ (log a) (log b))) |
(+ (log a) (log b)) |
(+ (log a) (log b)) |
(+ (log a) (log b)) |
(+ (log a) (log b)) |
(log a) |
(log a) |
(log a) |
(log a) |
(exp (+ (log b) (* -1 (log (/ 1 a))))) |
(exp (+ (log b) (* -1 (log (/ 1 a))))) |
(exp (+ (log b) (* -1 (log (/ 1 a))))) |
(exp (+ (log b) (* -1 (log (/ 1 a))))) |
(+ (log b) (* -1 (log (/ 1 a)))) |
(+ (log b) (* -1 (log (/ 1 a)))) |
(+ (log b) (* -1 (log (/ 1 a)))) |
(+ (log b) (* -1 (log (/ 1 a)))) |
(* -1 (log (/ 1 a))) |
(* -1 (log (/ 1 a))) |
(* -1 (log (/ 1 a))) |
(* -1 (log (/ 1 a))) |
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))) |
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))) |
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))) |
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))) |
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))) |
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))) |
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))) |
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))) |
(+ (log -1) (* -1 (log (/ -1 a)))) |
(+ (log -1) (* -1 (log (/ -1 a)))) |
(+ (log -1) (* -1 (log (/ -1 a)))) |
(+ (log -1) (* -1 (log (/ -1 a)))) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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| 6 778× | lower-fma.f64 |
| 6 778× | lower-fma.f32 |
| 3 810× | lower-/.f64 |
| 3 810× | lower-/.f32 |
| 3 158× | lower-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 576 |
| 0 | 33 | 264 |
| 1 | 190 | 216 |
| 2 | 1531 | 216 |
| 0 | 8583 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (+.f64 (log.f64 a) (log.f64 b))) |
(+.f64 (log.f64 a) (log.f64 b)) |
(log.f64 a) |
(log.f64 b) |
| Outputs |
|---|
#<batchref> |
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Compiled 1 387 to 124 computations (91.1% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 194 | 2 | 196 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 195 | 2 | 197 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 b a) |
| ▶ | 1.7% | #s(literal -1 binary64) |
Compiled 4 to 6 computations (-50% saved)
| 1× | egg-herbie |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b a) |
| 4× | lower-*.f32 |
| 2× | *-commutative |
| 2× | lower-*.f64 |
| 2× | lift-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 6 |
| 0 | 5 | 6 |
| 1 | 6 | 6 |
| 0 | 6 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b a) |
b |
a |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 b a) |
| 8.0ms | 256× | 0 | valid |
Compiled 8 to 6 computations (25% saved)
ival-mult: 2.0ms (88% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 b a) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | b | @ | -inf | ((* b a)) |
| 0.0ms | a | @ | -inf | ((* b a)) |
| 0.0ms | a | @ | inf | ((* b a)) |
| 0.0ms | b | @ | 0 | ((* b a)) |
| 0.0ms | a | @ | 0 | ((* b a)) |
| 1× | egg-herbie |
| 4× | lower-*.f64 |
| 4× | lower-*.f32 |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 72 |
| 1 | 4 | 72 |
| 0 | 4 | 72 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* a b) |
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| Outputs |
|---|
#<batchref> |
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| 4× | lower-*.f64 |
| 4× | lower-*.f32 |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 72 |
| 0 | 3 | 72 |
| 1 | 4 | 72 |
| 0 | 4 | 72 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(*.f64 b a) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
Compiled 102 to 5 computations (95.1% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 26 | 0 | 26 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 26 | 2 | 28 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 b a) |
| ✓ | 1.7% | #s(literal -1 binary64) |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
(*.f64 b a) |
(exp.f64 (+.f64 (log.f64 a) (log.f64 b))) |
| Outputs |
|---|
(*.f64 b a) |
6 calls:
| 2.0ms | (+.f64 (log.f64 a) (log.f64 b)) |
| 2.0ms | (log.f64 b) |
| 2.0ms | (log.f64 a) |
| 2.0ms | b |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | a |
| 100.0% | 1 | b |
| 100.0% | 1 | (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) |
| 100.0% | 1 | (+.f64 (log.f64 a) (log.f64 b)) |
| 100.0% | 1 | (log.f64 a) |
| 100.0% | 1 | (log.f64 b) |
Compiled 17 to 21 computations (-23.5% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
| Outputs |
|---|
#s(literal -1 binary64) |
6 calls:
| 2.0ms | b |
| 1.0ms | (+.f64 (log.f64 a) (log.f64 b)) |
| 1.0ms | (log.f64 b) |
| 1.0ms | a |
| 1.0ms | (log.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.7% | 1 | a |
| 1.7% | 1 | b |
| 1.7% | 1 | (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) |
| 1.7% | 1 | (+.f64 (log.f64 a) (log.f64 b)) |
| 1.7% | 1 | (log.f64 a) |
| 1.7% | 1 | (log.f64 b) |
Compiled 17 to 21 computations (-23.5% saved)
| 1× | egg-herbie |
| 2× | *-commutative-binary64-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 5 | 4 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 b a) |
#s(literal -1 binary64) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
| 6 778× | lower-fma.f64 |
| 6 778× | lower-fma.f32 |
| 3 810× | lower-/.f64 |
| 3 810× | lower-/.f32 |
| 3 158× | lower-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 576 |
| 0 | 33 | 264 |
| 1 | 190 | 216 |
| 2 | 1531 | 216 |
| 0 | 8583 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | saturated |
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