
Time bar (total: 8.4s)
| 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 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 50.4% | 50.4% | 49.6% | 0% | 0% | 0% | 0% | 9 |
| 51% | 51% | 49% | 0% | 0% | 0% | 0% | 10 |
| 51.3% | 51.2% | 48.7% | 0% | 0% | 0% | 0% | 11 |
| 51.3% | 51.3% | 48.7% | 0% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 3.8s | 7 760× | 5 | exit |
| 2.2s | 5 587× | 2 | valid |
| 406.0ms | 2 381× | 1 | valid |
| 17.0ms | 288× | 0 | valid |
ival-log: 2.6s (51.2% of total)ival-sinh: 1.1s (22.4% of total)adjust: 773.0ms (15.2% of total)ival-div: 526.0ms (10.3% of total)ival-true: 31.0ms (0.6% of total)ival-assert: 18.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 134 | 117 | (-5.313799571049067e-201) | 0 | - | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 0 | 0 | - | 0 | - | (sinh.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 (sinh.f64 x) x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 248 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 3 | 0 |
| ↳ | (sinh.f64 x) | overflow | 3 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 134 | 0 |
| - | 117 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 134 | 0 | 0 |
| - | 117 | 0 | 5 |
| number | freq |
|---|---|
| 0 | 5 |
| 1 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 121.0ms | 338× | 2 | valid |
| 23.0ms | 150× | 1 | valid |
| 1.0ms | 24× | 0 | valid |
Compiled 33 to 16 computations (51.5% saved)
ival-log: 65.0ms (52.4% of total)ival-sinh: 38.0ms (30.6% of total)ival-div: 11.0ms (8.9% of total)adjust: 10.0ms (8.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 14 | 15 |
| 2 | 40 | 15 |
| 3 | 105 | 15 |
| 4 | 556 | 15 |
| 5 | 4418 | 11 |
| 0 | 4 | 5 |
| 0 | 4 | 5 |
| 0 | 4 | 5 |
| 1× | saturated |
| 1× | saturated |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(abs x)
Compiled 5 to 4 computations (20% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.6% | (log.f64 (/.f64 (sinh.f64 x) x)) |
Compiled 5 to 4 computations (20% saved)
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sinh.f64 x) | |
| cost-diff | 0 | (/.f64 (sinh.f64 x) x) | |
| cost-diff | 0 | (log.f64 (/.f64 (sinh.f64 x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 12 |
| 0 | 4 | 12 |
| 0 | 4 | 12 |
| 1× | saturated |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
x |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (/.f64 (sinh.f64 x) x) | |
| accuracy | 0.01171875 | (sinh.f64 x) | |
| accuracy | 29.622062695783086 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 69.0ms | 169× | 2 | valid |
| 10.0ms | 75× | 1 | valid |
| 1.0ms | 12× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-log: 36.0ms (52.3% of total)ival-sinh: 22.0ms (31.9% of total)adjust: 5.0ms (7.3% of total)ival-div: 5.0ms (7.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | inf | ((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x)) |
| 33.0ms | x | @ | -inf | ((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x)) |
| 2.0ms | x | @ | 0 | ((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 187 |
| 1 | 186 | 187 |
| 2 | 561 | 181 |
| 3 | 2412 | 173 |
| 4 | 6368 | 173 |
| 0 | 8382 | 173 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 11 |
| 0 | 4 | 11 |
| 0 | 4 | 11 |
| 1× | saturated |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
Compiled 22 to 9 computations (59.1% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 1 | 4 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 3 | 2 | 5 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.6% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| ▶ | 49.8% | (log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64))) |
Compiled 12 to 10 computations (16.7% saved)
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (sinh x) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 14 |
| 0 | 6 | 14 |
| 1 | 14 | 14 |
| 2 | 30 | 14 |
| 3 | 79 | 14 |
| 4 | 388 | 14 |
| 5 | 2857 | 14 |
| 6 | 7999 | 14 |
| 0 | 8013 | 14 |
| 1× | saturated |
| 1× | node limit |
| 1× | saturated |
| Inputs |
|---|
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64))) |
#s(approx (/ (sinh x) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64))) |
#s(approx (/ (sinh x) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.7684509899452427 | #s(approx (/ (sinh x) x) #s(literal 1 binary64)) | |
| accuracy | 29.622062695783086 | (log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64))) |
| 62.0ms | 169× | 2 | valid |
| 10.0ms | 75× | 1 | valid |
| 1.0ms | 12× | 0 | valid |
Compiled 12 to 7 computations (41.7% saved)
ival-log: 33.0ms (52.7% of total)ival-sinh: 19.0ms (30.3% of total)adjust: 5.0ms (8% of total)ival-div: 5.0ms (8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64))) |
#s(approx (/ (sinh x) x) #s(literal 1 binary64)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((log (/ (sinh x) x)) (/ (sinh x) x)) |
| 7.0ms | x | @ | inf | ((log (/ (sinh x) x)) (/ (sinh x) x)) |
| 1.0ms | x | @ | 0 | ((log (/ (sinh x) x)) (/ (sinh x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 133 |
| 1 | 166 | 133 |
| 2 | 468 | 133 |
| 3 | 1755 | 133 |
| 4 | 5528 | 133 |
| 0 | 8833 | 133 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 6 | 13 |
| 1 | 17 | 13 |
| 2 | 61 | 13 |
| 0 | 388 | 13 |
| 1× | saturated |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64))) |
#s(approx (/ (sinh x) x) #s(literal 1 binary64)) |
| Outputs |
|---|
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64))) |
#s(approx (/ (sinh x) x) #s(literal 1 binary64)) |
Compiled 14 to 6 computations (57.1% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 0 | 2 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 2 | 2 | 4 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.6% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| ✓ | 49.8% | (log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64))) |
Compiled 24 to 19 computations (20.8% saved)
| Inputs |
|---|
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64))) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
3 calls:
| 1.0ms | x |
| 1.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.6% | 1 | (/.f64 (sinh.f64 x) x) |
| 53.6% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 53.6% | 1 | x |
Compiled 10 to 8 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64))) |
| Outputs |
|---|
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 1 | (/.f64 (sinh.f64 x) x) |
| 49.8% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 49.8% | 1 | x |
Compiled 10 to 8 computations (20% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 17 | 12 |
| 2 | 33 | 12 |
| 3 | 87 | 12 |
| 4 | 405 | 12 |
| 5 | 3123 | 12 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64))) |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64))) |
| 1× | done |
Compiled 12 to 9 computations (25% saved)
(abs x)
Compiled 114 to 76 computations (33.3% saved)
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