
Time bar (total: 1.4s)
| 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 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 14 to 10 computations (28.6% saved)
| 508.0ms | 4 147× | 1184 | valid |
| 192.0ms | 4 109× | 74 | valid |
ival-div!: 169.0ms (34% of total)ival-mult!: 146.0ms (29.4% of total)ival-sqrt: 89.0ms (17.9% of total)ival-sub!: 57.0ms (11.5% of total)adjust: 35.0ms (7.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 128 | 0 | - | 3 | (-1.0645988385079958e-159) | (sqrt.f64 (*.f64 x x)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) |
| 0 | 0 | - | 0 | - | (/.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (*.f64 x x)) | uflow-rescue | 63 | 0 |
| ↳ | (*.f64 x x) | underflow | 63 | |
sqrt.f64 | (sqrt.f64 (*.f64 x x)) | oflow-rescue | 62 | 0 |
| ↳ | (*.f64 x x) | overflow | 62 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 125 | 8 |
| - | 0 | 123 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 125 | 0 | 8 |
| - | 0 | 0 | 123 |
| number | freq |
|---|---|
| 0 | 131 |
| 1 | 125 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 254× | 1184 | valid |
| 14.0ms | 258× | 74 | valid |
Compiled 86 to 28 computations (67.4% saved)
ival-div!: 10.0ms (32.7% of total)ival-mult!: 9.0ms (29.4% of total)ival-sqrt: 6.0ms (19.6% of total)ival-sub!: 3.0ms (9.8% of total)adjust: 2.0ms (6.5% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 27 |
| 1 | 61 | 19 |
| 2 | 132 | 18 |
| 3 | 337 | 18 |
| 4 | 1715 | 18 |
| 5 | 6496 | 18 |
| 0 | 8 | 12 |
| 0 | 14 | 8 |
| 1 | 30 | 6 |
| 2 | 64 | 6 |
| 3 | 184 | 6 |
| 4 | 1061 | 6 |
| 5 | 6955 | 6 |
| 0 | 8061 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) |
| Outputs |
|---|
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) |
Compiled 12 to 8 computations (33.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.1% | (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) |
(/.f64 x x) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(hole binary64 0)) |
#s(approx (/ x x) #s(hole binary64 1)) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(hole binary64 1)) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (sqrt (* x x)) #s(hole binary64 x)) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(hole binary64 2)) |
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(hole binary64 -1)) |
#s(approx (sqrt (* x x)) #s(hole binary64 (* -1 x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (/ x x) x (* (/ 1 x) (sqrt (* x x))) (/ 1 x) 1 (sqrt (* x x)) (* x x)) |
| 1.0ms | x | @ | 0 | ((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (/ x x) x (* (/ 1 x) (sqrt (* x x))) (/ 1 x) 1 (sqrt (* x x)) (* x x)) |
| 1.0ms | x | @ | inf | ((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (/ x x) x (* (/ 1 x) (sqrt (* x x))) (/ 1 x) 1 (sqrt (* x x)) (* x x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 119 |
| 0 | 38 | 78 |
| 1 | 94 | 51 |
| 0 | 541 | 51 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) |
(/.f64 x x) |
x |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(hole binary64 0)) |
#s(approx (/ x x) #s(hole binary64 1)) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(hole binary64 1)) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (sqrt (* x x)) #s(hole binary64 x)) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(hole binary64 2)) |
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(hole binary64 -1)) |
#s(approx (sqrt (* x x)) #s(hole binary64 (* -1 x))) |
| Outputs |
|---|
#s(literal 0 binary64) |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 x (*.f64 x x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 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 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(sqrt.f64 (*.f64 (*.f64 x x) (*.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)))) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) |
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(literal 1 binary64)) |
#s(approx (sqrt (* x x)) x) |
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(literal 1 binary64)) |
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (sqrt (* x x)) x) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) |
#s(approx (* (/ 1 x) (sqrt (* x x))) #s(literal -1 binary64)) |
#s(approx (sqrt (* x x)) (neg.f64 x)) |
Compiled 771 to 193 computations (75% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 52 | 2 | 54 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 53 | 2 | 55 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.9% | #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) |
| ▶ | 51.2% | #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) |
Compiled 28 to 20 computations (28.6% saved)
| Inputs |
|---|
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(hole binary64 0)) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(hole binary64 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | ((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) 0 (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) 2) |
| 0.0ms | x | @ | 0 | ((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) 0 (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) 2) |
| 0.0ms | x | @ | -inf | ((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) 0 (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) 2) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 0 | 12 | 42 |
| 1 | 58 | 14 |
| 0 | 438 | 14 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(hole binary64 0)) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(hole binary64 2)) |
| Outputs |
|---|
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) |
Compiled 56 to 12 computations (78.6% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 0 | 4 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 4 | 2 | 6 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 51.9% | #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) |
| ✓ | 51.2% | #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) |
Compiled 68 to 39 computations (42.6% saved)
| Inputs |
|---|
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) |
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 2 | (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) |
| 100.0% | 2 | x |
Compiled 13 to 9 computations (30.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) |
2 calls:
| 4.0ms | x |
| 1.0ms | (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) |
| 51.2% | 1 | x |
Compiled 13 to 9 computations (30.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -5.0766150654538e-297 | 9.216421090329908e-306 |
| 7.0ms | 64× | 1184 | valid |
| 4.0ms | 96× | 74 | valid |
Compiled 295 to 232 computations (21.4% saved)
ival-div!: 3.0ms (36.6% of total)ival-sqrt: 2.0ms (24.4% of total)ival-mult!: 2.0ms (24.4% of total)adjust: 1.0ms (12.2% of total)ival-sub!: 1.0ms (12.2% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 34 |
| 1 | 32 | 28 |
| 2 | 68 | 28 |
| 3 | 217 | 28 |
| 4 | 1456 | 28 |
| 5 | 6299 | 28 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))) |
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) |
| 1× | done |
Compiled 46 to 15 computations (67.4% saved)
Compiled 128 to 56 computations (56.3% saved)
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