Exp of sum of logs
Time bar (total: 1.1s)
| 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 9 to 7 computations (22.2% saved)
ival-log: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 644.0ms | 8256× | 0 | valid |
ival-log: 217.0ms (58.3% of total)ival-exp: 89.0ms (23.9% of total)ival-add: 56.0ms (15% of total)const: 8.0ms (2.1% of total)backward-pass: 3.0ms (0.8% of total)| 2× | egg-herbie |
| 64× | fnmsub-define |
| 64× | fmsub-define |
| 64× | fnmadd-define |
| 46× | fma-define |
| 32× | fmm-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 38 |
| 1 | 38 | 20 |
| 2 | 71 | 20 |
| 3 | 112 | 20 |
| 4 | 202 | 20 |
| 5 | 286 | 20 |
| 6 | 318 | 20 |
| 0 | 6 | 6 |
| 1 | 10 | 3 |
| 2 | 13 | 3 |
| 0 | 13 | 3 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(exp (+ (log a) (log b))) |
| Outputs |
|---|
(exp (+ (log a) (log b))) |
(*.f64 a b) |
| Inputs |
|---|
(exp (+ (log a) (log b))) |
(exp (+ (log (neg a)) (log b))) |
(exp (+ (log a) (log (neg b)))) |
(neg (exp (+ (log (neg a)) (log b)))) |
(neg (exp (+ (log a) (log (neg b))))) |
(exp (+ (log b) (log a))) |
| Outputs |
|---|
(exp (+ (log a) (log b))) |
(* a b) |
(exp (+ (log (neg a)) (log b))) |
(fnmsub a b 0) |
(exp (+ (log a) (log (neg b)))) |
(fnmsub a b 0) |
(neg (exp (+ (log (neg a)) (log b)))) |
(* a b) |
(neg (exp (+ (log a) (log (neg b))))) |
(* a b) |
(exp (+ (log b) (log a))) |
(* a b) |
(negabs a)
(negabs b)
(sort a b)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 146 | 27 | (1.3113209267912391e-225 1.0178406293376476e-94) | 14 | (2.2181715449614784e-162 3.0658577586617586e+196) | (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) |
| 3 | 0 | - | 2 | (4.6120673843022745e-186 4.142874830833408e+181) | (+.f64 (log.f64 a) (log.f64 b)) |
| 0 | 0 | - | 0 | - | (log.f64 b) |
| 0 | 0 | - | 0 | - | (log.f64 a) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | a |
| 41.0ms | 512× | 0 | valid |
Compiled 48 to 20 computations (58.3% saved)
ival-log: 13.0ms (60.2% of total)ival-exp: 5.0ms (23.1% of total)ival-add: 3.0ms (13.9% of total)const: 1.0ms (4.6% of total)backward-pass: 0.0ms (0% of total)Compiled 5 to 3 computations (40% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 a b) |
Compiled 5 to 3 computations (40% saved)
| 1× | egg-herbie |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 a b) |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 5 |
| 1 | 4 | 5 |
| 0 | 4 | 5 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* a b) |
a |
b |
| Outputs |
|---|
(* a b) |
(*.f64 a b) |
a |
b |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 a b) |
| 10.0ms | 256× | 0 | valid |
Compiled 8 to 4 computations (50% saved)
ival-mult: 2.0ms (74.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* a b)> |
| Outputs |
|---|
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
#<alt (* a b)> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | -inf | (* a b) |
| 0.0ms | a | @ | inf | (* a b) |
| 0.0ms | a | @ | -inf | (* a b) |
| 0.0ms | a | @ | 0 | (* a b) |
| 0.0ms | b | @ | 0 | (* a b) |
| 1× | batch-egg-rewrite |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 3 |
| 1 | 4 | 3 |
| 0 | 4 | 3 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* a b) |
| Outputs |
|---|
(*.f64 a b) |
(*.f64 b a) |
| 1× | egg-herbie |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
| 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) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
| Outputs |
|---|
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
Compiled 80 to 4 computations (95% saved)
1 alts after pruning (0 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 26 | 0 | 26 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 26 | 1 | 27 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 a b) |
Compiled 16 to 10 computations (37.5% saved)
Total -4.8b remaining (-∞%)
Threshold costs -4.8b (-∞%)
| Inputs |
|---|
(*.f64 a b) |
(exp.f64 (+.f64 (log.f64 a) (log.f64 b))) |
| Outputs |
|---|
(*.f64 a b) |
6 calls:
| 12.0ms | (log.f64 a) |
| 1.0ms | (+.f64 (log.f64 a) (log.f64 b)) |
| 1.0ms | (log.f64 b) |
| 1.0ms | (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) |
| 1.0ms | 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 29 to 21 computations (27.6% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 3 |
| 1 | 4 | 3 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 a b) |
| Outputs |
|---|
(*.f64 a b) |
| 6× | exp-lowering-exp.f32 |
| 6× | exp-lowering-exp.f64 |
| 4× | +-lowering-+.f64 |
| 4× | log-lowering-log.f64 |
| 4× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 6 |
| 1 | 10 | 3 |
| 2 | 13 | 3 |
| 0 | 13 | 3 |
| 1× | done |
| 1× | iter limit |
| 1× | saturated |
Compiled 10 to 6 computations (40% saved)
(sort a b)
(negabs b)
(negabs a)
Compiled 96 to 60 computations (37.5% saved)
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