Statistics.Distribution.Binomial:directEntropy from math-functions-0.1.5.2
Time bar (total: 882.0ms)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 100% | 50% | 0% | 0% | 0% | 50% | 0% | 2 |
Compiled 6 to 4 computations (33.3% saved)
ival-log: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 417.0ms | 8256× | 0 | valid |
ival-log: 126.0ms (61% of total)ival-mult: 70.0ms (33.9% of total)const: 7.0ms (3.4% of total)backward-pass: 3.0ms (1.5% of total)| 2× | egg-herbie |
| 52× | associate-*r* |
| 44× | distribute-lft-neg-in |
| 30× | associate-*l* |
| 28× | unsub-neg |
| 28× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 21 | 15 |
| 2 | 41 | 15 |
| 3 | 117 | 15 |
| 4 | 205 | 15 |
| 5 | 264 | 15 |
| 6 | 270 | 15 |
| 7 | 272 | 15 |
| 8 | 275 | 15 |
| 9 | 277 | 15 |
| 0 | 3 | 4 |
| 1 | 4 | 4 |
| 0 | 4 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* x (log x)) |
| Outputs |
|---|
(* x (log x)) |
(*.f64 x (log.f64 x)) |
| Inputs |
|---|
(* x (log x)) |
(* (neg x) (log (neg x))) |
(neg (* (neg x) (log (neg x)))) |
| Outputs |
|---|
(* x (log x)) |
(* (neg x) (log (neg x))) |
(* x (neg (log (neg x)))) |
(neg (* (neg x) (log (neg x)))) |
(* x (log (neg x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 x (log.f64 x)) |
| 0 | 0 | - | 0 | - | (log.f64 x) |
| 25.0ms | 512× | 0 | valid |
Compiled 23 to 11 computations (52.2% saved)
ival-log: 7.0ms (58.6% of total)ival-mult: 4.0ms (33.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)Compiled 5 to 3 computations (40% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (*.f64 x (log.f64 x)) |
Compiled 5 to 3 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 x (log.f64 x)) |
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 x (log.f64 x)) |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 2× | *-commutative |
| 2× | log-lowering-log.f64 |
| 2× | log-lowering-log.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 7 |
| 1 | 4 | 7 |
| 0 | 4 | 7 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (log x)) |
x |
(log x) |
| Outputs |
|---|
(* x (log x)) |
(*.f64 x (log.f64 x)) |
x |
(log x) |
(log.f64 x) |
| 14.0ms | 256× | 0 | valid |
Compiled 9 to 4 computations (55.6% saved)
ival-log: 4.0ms (52.5% of total)ival-mult: 4.0ms (52.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (log x))> |
#<alt (log x)> |
| Outputs |
|---|
#<alt (* x (log x))> |
#<alt (* x (log x))> |
#<alt (* x (log x))> |
#<alt (* x (log x))> |
#<alt (* -1 (* x (log (/ 1 x))))> |
#<alt (* -1 (* x (log (/ 1 x))))> |
#<alt (* -1 (* x (log (/ 1 x))))> |
#<alt (* -1 (* x (log (/ 1 x))))> |
#<alt (* x (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* x (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* x (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (* x (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | x | @ | -inf | (* x (log x)) |
| 47.0ms | x | @ | inf | (* x (log x)) |
| 40.0ms | x | @ | 0 | (* x (log x)) |
| 0.0ms | x | @ | 0 | (log x) |
| 0.0ms | x | @ | inf | (log x) |
| 1× | batch-egg-rewrite |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 2× | *-commutative |
| 2× | log-lowering-log.f64 |
| 2× | log-lowering-log.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 6 |
| 1 | 4 | 6 |
| 0 | 4 | 6 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (log x)) |
(log x) |
| Outputs |
|---|
(*.f64 x (log.f64 x)) |
(*.f64 (log.f64 x) x) |
(log.f64 x) |
| 1× | egg-herbie |
| 320× | accelerator-lowering-fma.f32 |
| 320× | accelerator-lowering-fma.f64 |
| 224× | *-lowering-*.f32 |
| 224× | *-lowering-*.f64 |
| 104× | unsub-neg |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 120 |
| 1 | 37 | 112 |
| 2 | 63 | 112 |
| 3 | 104 | 112 |
| 4 | 167 | 112 |
| 5 | 298 | 112 |
| 6 | 553 | 104 |
| 7 | 612 | 104 |
| 8 | 616 | 104 |
| 9 | 620 | 104 |
| 0 | 620 | 104 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (log x)) |
(* x (log x)) |
(* x (log x)) |
(* x (log x)) |
(* -1 (* x (log (/ 1 x)))) |
(* -1 (* x (log (/ 1 x)))) |
(* -1 (* x (log (/ 1 x)))) |
(* -1 (* x (log (/ 1 x)))) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(log x) |
(log x) |
(log x) |
(log x) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
| Outputs |
|---|
(* x (log x)) |
(*.f64 x (log.f64 x)) |
(* x (log x)) |
(*.f64 x (log.f64 x)) |
(* x (log x)) |
(*.f64 x (log.f64 x)) |
(* x (log x)) |
(*.f64 x (log.f64 x)) |
(* -1 (* x (log (/ 1 x)))) |
(*.f64 x (log.f64 x)) |
(* -1 (* x (log (/ 1 x)))) |
(*.f64 x (log.f64 x)) |
(* -1 (* x (log (/ 1 x)))) |
(*.f64 x (log.f64 x)) |
(* -1 (* x (log (/ 1 x)))) |
(*.f64 x (log.f64 x)) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(* x (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
Compiled 149 to 60 computations (59.7% saved)
1 alts after pruning (0 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 27 | 0 | 27 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 27 | 1 | 28 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (*.f64 x (log.f64 x)) |
Compiled 10 to 6 computations (40% saved)
| 1× | done |
Compiled 5 to 3 computations (40% saved)
Compiled 20 to 12 computations (40% saved)
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