
Time bar (total: 1.2s)
| 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% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 8 to 7 computations (12.5% saved)
| 382.0ms | 8 256× | 0 | valid |
ival-mult: 137.0ms (67.2% of total)ival-sqrt: 56.0ms (27.5% of total)exact: 6.0ms (2.9% of total)ival-assert: 3.0ms (1.5% of total)adjust: 2.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 124 | 0 | - | 1 | (-2.213483507942375e-160) | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) | oflow-rescue | 70 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 x x)) | overflow | 70 | |
| ↳ | (*.f64 x x) | overflow | 69 | |
sqrt.f64 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) | uflow-rescue | 53 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 x x)) | underflow | 53 | |
| ↳ | (*.f64 x x) | underflow | 53 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 123 | 2 |
| - | 0 | 131 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 123 | 0 | 2 |
| - | 0 | 0 | 131 |
| number | freq |
|---|---|
| 0 | 133 |
| 1 | 123 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 23.0ms | 512× | 0 | valid |
Compiled 42 to 19 computations (54.8% saved)
ival-mult: 7.0ms (61% of total)ival-sqrt: 3.0ms (26.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 19 |
| 1 | 28 | 19 |
| 2 | 90 | 19 |
| 3 | 185 | 19 |
| 4 | 578 | 19 |
| 5 | 1314 | 19 |
| 6 | 4975 | 19 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 18 | 6 |
| 2 | 61 | 6 |
| 3 | 182 | 6 |
| 4 | 501 | 6 |
| 5 | 1234 | 6 |
| 6 | 4730 | 6 |
| 7 | 7915 | 6 |
| 0 | 8495 | 3 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
| Outputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(hypot.f64 x x) |
(abs x)
Compiled 6 to 5 computations (16.7% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
Compiled 6 to 5 computations (16.7% saved)
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
| Outputs |
|---|
#s(approx (sqrt (* 2 (* x x))) #s(hole binary64 (* x (sqrt 2)))) |
#s(approx (* 2 (* x x)) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (* 2 (* x x))) #s(hole binary64 (* -1 (* x (sqrt 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((sqrt (* 2 (* x x))) (* 2 (* x x)) 2 (* x x) x) |
| 1.0ms | x | @ | 0 | ((sqrt (* 2 (* x x))) (* 2 (* x x)) 2 (* x x) x) |
| 1.0ms | x | @ | -inf | ((sqrt (* 2 (* x x))) (* 2 (* x x)) 2 (* x x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 61 |
| 0 | 22 | 60 |
| 1 | 50 | 54 |
| 0 | 171 | 49 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
#s(approx (sqrt (* 2 (* x x))) #s(hole binary64 (* x (sqrt 2)))) |
#s(approx (* 2 (* x x)) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (* 2 (* x x))) #s(hole binary64 (* -1 (* x (sqrt 2))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) |
(hypot.f64 (neg.f64 (neg.f64 x)) x) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 (neg.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 x)) |
(hypot.f64 (exp.f64 (log.f64 x)) x) |
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) |
(hypot.f64 (neg.f64 x) (exp.f64 (log.f64 x))) |
(hypot.f64 (neg.f64 x) (neg.f64 x)) |
(hypot.f64 (neg.f64 x) x) |
(hypot.f64 x (neg.f64 (neg.f64 x))) |
(hypot.f64 x (exp.f64 (log.f64 x))) |
(hypot.f64 x (neg.f64 x)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) x (neg.f64 x))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 x x (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(+.f64 (*.f64 x x) (*.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
x |
#s(approx (sqrt (* 2 (* x x))) (hypot.f64 x x)) |
#s(approx (* 2 (* x x)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx x x) |
#s(approx (sqrt (* 2 (* x x))) (neg.f64 (hypot.f64 x x))) |
Compiled 563 to 158 computations (71.9% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 65 | 2 | 67 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 65 | 3 | 68 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) | |
| ▶ | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 55.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
Compiled 17 to 13 computations (23.5% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
| Outputs |
|---|
#s(approx (* (sqrt 2) x) #s(hole binary64 (* x (sqrt 2)))) |
#s(approx x #s(hole binary64 x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* (sqrt 2) x) (sqrt 2) 2 x) |
| 0.0ms | x | @ | inf | ((* (sqrt 2) x) (sqrt 2) 2 x) |
| 0.0ms | x | @ | 0 | ((* (sqrt 2) x) (sqrt 2) 2 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 0 | 11 | 20 |
| 1 | 16 | 20 |
| 0 | 34 | 20 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
#s(approx (* (sqrt 2) x) #s(hole binary64 (* x (sqrt 2)))) |
#s(approx x #s(hole binary64 x)) |
| Outputs |
|---|
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(literal 2 binary64) |
x |
#s(approx (* (sqrt 2) x) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx x x) |
Compiled 56 to 22 computations (60.7% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 10 | 0 | 10 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 10 | 3 | 13 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 55.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
Compiled 17 to 13 computations (23.5% saved)
| Inputs |
|---|
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(neg.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
| Outputs |
|---|
#s(approx (sqrt (+ (* (neg (neg x)) (neg (neg x))) (* (neg (neg x)) (neg (neg x))))) #s(hole binary64 (* x (sqrt 2)))) |
#s(approx (neg (neg x)) #s(hole binary64 x)) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (+ (* (neg (neg x)) (neg (neg x))) (* (neg (neg x)) (neg (neg x))))) #s(hole binary64 (* -1 (* x (sqrt 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((sqrt (+ (* (neg (neg x)) (neg (neg x))) (* (neg (neg x)) (neg (neg x))))) (neg (neg x)) (neg x) x) |
| 1.0ms | x | @ | inf | ((sqrt (+ (* (neg (neg x)) (neg (neg x))) (* (neg (neg x)) (neg (neg x))))) (neg (neg x)) (neg x) x) |
| 0.0ms | x | @ | 0 | ((sqrt (+ (* (neg (neg x)) (neg (neg x))) (* (neg (neg x)) (neg (neg x))))) (neg (neg x)) (neg x) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 53 |
| 0 | 25 | 35 |
| 1 | 68 | 32 |
| 0 | 333 | 32 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(neg.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (sqrt (+ (* (neg (neg x)) (neg (neg x))) (* (neg (neg x)) (neg (neg x))))) #s(hole binary64 (* x (sqrt 2)))) |
#s(approx (neg (neg x)) #s(hole binary64 x)) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (+ (* (neg (neg x)) (neg (neg x))) (* (neg (neg x)) (neg (neg x))))) #s(hole binary64 (* -1 (* x (sqrt 2))))) |
| Outputs |
|---|
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(sqrt.f64 #s(literal 2 binary64)) |
(hypot.f64 x x) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
x |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
x |
#s(approx (sqrt (+ (* (neg (neg x)) (neg (neg x))) (* (neg (neg x)) (neg (neg x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
#s(approx (neg (neg x)) x) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (neg (neg x)) x) |
#s(approx (sqrt (+ (* (neg (neg x)) (neg (neg x))) (* (neg (neg x)) (neg (neg x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))) |
Compiled 204 to 66 computations (67.6% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 25 | 0 | 25 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 25 | 3 | 28 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
| ✓ | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| ✓ | 55.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
Compiled 34 to 26 computations (23.5% saved)
| 1× | done |
Compiled 7 to 4 computations (42.9% saved)
(abs x)
Compiled 40 to 26 computations (35% saved)
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