
Time bar (total: 1.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 490.0ms | 8 256× | 0 | valid |
| 222.0ms | 2 647× | 1 | exit |
ival-log1p: 126.0ms (29% of total)ival-exp: 103.0ms (23.7% of total)ival-mult: 91.0ms (20.9% of total)ival-sub: 57.0ms (13.1% of total)adjust: 44.0ms (10.1% of total)ival-true: 9.0ms (2.1% of total)ival-assert: 4.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 3 | 77 | (-2.557408446881044e+167 3.4960537325408685e-121) | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| 0 | 0 | - | 0 | - | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (exp.f64 x)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) | sensitivity | 77 | 0 |
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) | oflow-rescue | 3 | 0 |
| ↳ | (exp.f64 x) | overflow | 3 | |
| ↳ | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | overflow | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3 | 0 |
| - | 77 | 176 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3 | 0 | 0 |
| - | 77 | 0 | 176 |
| number | freq |
|---|---|
| 0 | 176 |
| 1 | 80 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 35.0ms | 512× | 0 | valid |
Compiled 91 to 36 computations (60.4% saved)
ival-log1p: 6.0ms (29.4% of total)ival-exp: 5.0ms (24.5% of total)ival-mult: 4.0ms (19.6% of total)ival-sub: 2.0ms (9.8% of total)ival-add: 2.0ms (9.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | |
| cost-diff | 0 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) | |
| cost-diff | 0 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(*.f64 x y) |
y |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(*.f64 x y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.0078125 | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | |
| accuracy | 0.015625 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) | |
| accuracy | 0.7341644523109889 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| 18.0ms | 256× | 0 | valid |
Compiled 54 to 18 computations (66.7% saved)
ival-log1p: 4.0ms (36.8% of total)ival-exp: 2.0ms (18.4% of total)ival-mult: 2.0ms (18.4% of total)ival-sub: 1.0ms (9.2% of total)ival-add: 1.0ms (9.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 x) |
| Outputs |
|---|
(log 2) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* -1 (* x y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(log (+ 1 (exp x))) |
(+ 1 (exp x)) |
(exp x) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (exp x)) |
| 19.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (exp x)) |
| 3.0ms | y | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (exp x)) |
| 1.0ms | y | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (exp x)) |
| 1.0ms | y | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (exp x)) |
| 1× | egg-herbie |
| Inputs |
|---|
(log 2) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* -1 (* x y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(log (+ 1 (exp x))) |
(+ 1 (exp x)) |
(exp x) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
| Outputs |
|---|
(log 2) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(+ (log 2) (* x (- 1/2 y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(exp.f64 x) |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 x) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 x) |
Compiled 96 to 18 computations (81.3% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 5 | 3 | 8 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 5 | 4 | 9 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.8% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| ▶ | 10.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| ▶ | 50.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
| ▶ | 11.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
Compiled 50 to 43 computations (14% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | |
| cost-diff | 0 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
(exp.f64 x) |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
(exp.f64 x) |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.0078125 | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | |
| accuracy | 57.3190334577039 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) | |
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.0078125 | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | |
| accuracy | 0.7341644523109889 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) | |
| accuracy | 30.888108530392024 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) | |
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 56.68131178405784 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
| 21.0ms | 256× | 0 | valid |
Compiled 118 to 25 computations (78.8% saved)
ival-mult: 5.0ms (39.6% of total)ival-log1p: 3.0ms (23.7% of total)ival-exp: 2.0ms (15.8% of total)ival-sub: 1.0ms (7.9% of total)ival-add: 1.0ms (7.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
(exp.f64 x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| Outputs |
|---|
(log 2) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* -1 (* x y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(exp x) |
(log (+ 1 (exp x))) |
(+ 1 (exp x)) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (exp x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y))) |
| 6.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (exp x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y))) |
| 2.0ms | y | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (exp x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y))) |
| 1.0ms | y | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (exp x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y))) |
| 1.0ms | y | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (exp x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (- (log (+ 1 (exp x))) (* x y))) |
| 1× | egg-herbie |
| Inputs |
|---|
(log 2) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* -1 (* x y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(exp x) |
(log (+ 1 (exp x))) |
(+ 1 (exp x)) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
| Outputs |
|---|
(log 2) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
(+ (log 2) (* x (- 1/2 y))) |
(exp.f64 x) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
1 |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
(exp.f64 x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
(exp.f64 x) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
Compiled 315 to 29 computations (90.8% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 15 | 2 | 17 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 15 | 6 | 21 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.8% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| ✓ | 10.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| ▶ | 10.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
| ✓ | 50.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
| ▶ | 11.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
| ✓ | 11.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
Compiled 89 to 72 computations (19.1% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | |
| cost-diff | 0 | #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) | |
| cost-diff | 0 | #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) | |
| cost-diff | 0 | (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
(log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(literal 1 binary64) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 x) |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(literal 1 binary64) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 x) |
x |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
(log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(literal 1 binary64) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 x) |
x |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(literal 1 binary64) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 x) |
x |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | |
| accuracy | 0.0078125 | (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) | |
| accuracy | 54.193737162410585 | #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) | |
| accuracy | 57.3190334577039 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) | |
| accuracy | 0.0078125 | (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) | |
| accuracy | 0.7341644523109889 | (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) | |
| accuracy | 30.888108530392024 | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) | |
| accuracy | 54.193737162410585 | #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| 18.0ms | 256× | 0 | valid |
Compiled 150 to 26 computations (82.7% saved)
ival-log1p: 3.0ms (31% of total)ival-exp: 2.0ms (20.7% of total)ival-mult: 2.0ms (20.7% of total)ival-sub: 1.0ms (10.3% of total)ival-add: 1.0ms (10.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
(log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
| Outputs |
|---|
(log 2) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* -1 (* x y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(log (+ 1 (exp x))) |
(+ 1 (exp x)) |
(exp x) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (exp x) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x))) |
| 6.0ms | x | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (exp x) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x))) |
| 1.0ms | y | @ | 0 | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (exp x) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x))) |
| 1.0ms | y | @ | -inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (exp x) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x))) |
| 1.0ms | y | @ | inf | ((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (exp x) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x))) |
| 1× | egg-herbie |
| Inputs |
|---|
(log 2) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(* -1 (* x y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(log (+ 1 (exp x))) |
(+ 1 (exp x)) |
(exp x) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
| Outputs |
|---|
(log 2) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
(+ (log 2) (* x (- 1/2 y))) |
(log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+ (log 2) (* 1/2 x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
(log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
(log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
Compiled 278 to 22 computations (92.1% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 13 | 0 | 13 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 4 | 4 |
| Total | 13 | 6 | 19 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.8% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| ✓ | 10.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| ✓ | 10.1% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
| ✓ | 50.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
| ✓ | 11.7% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
| ✓ | 11.4% | #s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
Compiled 178 to 94 computations (47.2% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
3 calls:
| 6.0ms | x |
| 2.0ms | y |
| 2.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 1 | y |
| 98.8% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 11 to 12 computations (-9.1% saved)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 1 | x |
| 50.7% | 1 | y |
| 50.7% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 11 to 12 computations (-9.1% saved)
Total -1.1b remaining (-1.9%)
Threshold costs -1.1b (-1.9%)
| Inputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (+.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.4% | 1 | y |
| 11.4% | 1 | x |
| 11.4% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 11 to 12 computations (-9.1% saved)
| 1× | egg-herbie |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(approx (- (log (+ 1 (exp x))) (* x y)) (exp.f64 x)) |
| 1× | done |
Compiled 36 to 16 computations (55.6% saved)
Compiled 142 to 84 computations (40.8% saved)
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