
Time bar (total: 1.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 10 to 8 computations (20% saved)
| 460.0ms | 8 256× | 0 | valid |
ival-mult: 190.0ms (79.8% of total)ival-neg: 44.0ms (18.5% of total)ival-assert: 3.0ms (1.3% of total)adjust: 2.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 38 | 2 | (2.5235352714449863e-274 1.3616569468144087e+224) | 1 | (-2.165180387453397e-157 2.1657411720170377e+238) | (*.f64 (*.f64 a a) b) |
| 21 | 1 | (4.824250106104489e-272 3.5480996160649956e+109) | 3 | (1.6674203904962904e-184 -1.317347458720206e+51) | (*.f64 (*.f64 (*.f64 a a) b) b) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 a a) b) | n*u | 22 | 0 |
*.f64 | (*.f64 (*.f64 a a) b) | n*o | 17 | 0 |
*.f64 | (*.f64 (*.f64 (*.f64 a a) b) b) | n*o | 10 | 0 |
*.f64 | (*.f64 (*.f64 (*.f64 a a) b) b) | n*u | 9 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 57 | 1 |
| - | 1 | 197 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 57 | 0 | 1 |
| - | 1 | 0 | 197 |
| number | freq |
|---|---|
| 0 | 198 |
| 1 | 58 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 512× | 0 | valid |
Compiled 62 to 22 computations (64.5% saved)
ival-mult: 10.0ms (74.4% of total)ival-neg: 2.0ms (14.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 46 |
| 1 | 66 | 46 |
| 2 | 244 | 46 |
| 3 | 542 | 46 |
| 4 | 772 | 46 |
| 5 | 783 | 46 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 24 | 8 |
| 2 | 81 | 8 |
| 3 | 303 | 8 |
| 4 | 719 | 8 |
| 5 | 844 | 8 |
| 0 | 844 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
| Outputs |
|---|
(neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
(*.f64 (*.f64 b a) (*.f64 (neg.f64 b) a)) |
(abs a)
(abs b)
(sort a b)
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.6% | (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
(*.f64 (*.f64 (*.f64 a a) b) b) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
b |
| Outputs |
|---|
#s(approx (neg (* (* (* a a) b) b)) #s(hole binary64 (* -1 (* (pow a 2) (pow b 2))))) |
#s(approx (* (* (* a a) b) b) #s(hole binary64 (* (pow a 2) (pow b 2)))) |
#s(approx (* (* a a) b) #s(hole binary64 (* (pow a 2) b))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx a #s(hole binary64 a)) |
#s(approx b #s(hole binary64 b)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | inf | ((neg (* (* (* a a) b) b)) (* (* (* a a) b) b) (* (* a a) b) (* a a) a b) |
| 2.0ms | b | @ | -inf | ((neg (* (* (* a a) b) b)) (* (* (* a a) b) b) (* (* a a) b) (* a a) a b) |
| 1.0ms | a | @ | -inf | ((neg (* (* (* a a) b) b)) (* (* (* a a) b) b) (* (* a a) b) (* a a) a b) |
| 1.0ms | a | @ | 0 | ((neg (* (* (* a a) b) b)) (* (* (* a a) b) b) (* (* a a) b) (* a a) a b) |
| 1.0ms | b | @ | inf | ((neg (* (* (* a a) b) b)) (* (* (* a a) b) b) (* (* a a) b) (* a a) a b) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 82 |
| 0 | 29 | 69 |
| 1 | 69 | 69 |
| 0 | 227 | 69 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
(*.f64 (*.f64 (*.f64 a a) b) b) |
(*.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
b |
#s(approx (neg (* (* (* a a) b) b)) #s(hole binary64 (* -1 (* (pow a 2) (pow b 2))))) |
#s(approx (* (* (* a a) b) b) #s(hole binary64 (* (pow a 2) (pow b 2)))) |
#s(approx (* (* a a) b) #s(hole binary64 (* (pow a 2) b))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx a #s(hole binary64 a)) |
#s(approx b #s(hole binary64 b)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) (*.f64 a a)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (*.f64 a a))) b) |
(*.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 b (*.f64 a a))) |
(*.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(*.f64 (neg.f64 (*.f64 a a)) (*.f64 b b)) |
(*.f64 (neg.f64 b) (*.f64 b (*.f64 a a))) |
(*.f64 (*.f64 (neg.f64 b) (*.f64 a a)) b) |
(*.f64 (*.f64 b b) (neg.f64 (*.f64 a a))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 b (*.f64 a a)) (*.f64 b #s(literal -1 binary64))) |
(*.f64 (*.f64 b (*.f64 a a)) (neg.f64 b)) |
(*.f64 b (*.f64 (*.f64 b (*.f64 a a)) #s(literal -1 binary64))) |
(*.f64 b (*.f64 (neg.f64 b) (*.f64 a a))) |
(*.f64 (*.f64 a a) (*.f64 (*.f64 b b) #s(literal -1 binary64))) |
(*.f64 (*.f64 a a) (*.f64 b (neg.f64 b))) |
(*.f64 (*.f64 a a) (neg.f64 (*.f64 b b))) |
(*.f64 a (*.f64 (*.f64 b a) (neg.f64 b))) |
(neg.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a)) |
(*.f64 (*.f64 (*.f64 b b) (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (*.f64 (*.f64 b b) a) a) |
(*.f64 (*.f64 b (neg.f64 a)) (*.f64 b (neg.f64 a))) |
(*.f64 (*.f64 b (fabs.f64 a)) (*.f64 b (fabs.f64 a))) |
(*.f64 (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) b)) |
(*.f64 (*.f64 (fabs.f64 a) b) (*.f64 (fabs.f64 a) b)) |
(*.f64 (pow.f64 (*.f64 b a) #s(literal 1 binary64)) (pow.f64 (*.f64 b a) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 b a) #s(literal 1 binary64)) (*.f64 b a)) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 b b))) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 b b))) |
(*.f64 (*.f64 b a) (*.f64 b a)) |
(*.f64 (*.f64 b b) (*.f64 a a)) |
(*.f64 (*.f64 b (*.f64 a a)) b) |
(*.f64 b (*.f64 b (*.f64 a a))) |
(*.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 a (*.f64 (*.f64 b a) b)) |
(*.f64 a (*.f64 a (*.f64 b b))) |
(pow.f64 (*.f64 b a) #s(literal 2 binary64)) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) (*.f64 (log.f64 b) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b a)) #s(literal 2 binary64))) |
(*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) |
(*.f64 (*.f64 b (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) b)) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) b)) |
(*.f64 (*.f64 b a) a) |
(*.f64 b (*.f64 a a)) |
(*.f64 (*.f64 a a) b) |
(*.f64 a (*.f64 b a)) |
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a))) |
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a))) |
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a))) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 (fabs.f64 a) (fabs.f64 a)) |
(*.f64 a a) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 a) a)) |
(neg.f64 (*.f64 a (neg.f64 a))) |
(fabs.f64 (*.f64 a a)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
a |
b |
#s(approx (neg (* (* (* a a) b) b)) (neg.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)))) |
#s(approx (* (* (* a a) b) b) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) |
#s(approx (* (* a a) b) (*.f64 b (*.f64 a a))) |
#s(approx (* a a) (*.f64 a a)) |
#s(approx a a) |
#s(approx b b) |
Compiled 730 to 227 computations (68.9% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 73 | 5 | 78 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 73 | 6 | 79 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
| ▶ | 75.3% | (*.f64 (*.f64 b b) (neg.f64 (*.f64 a a))) |
| ▶ | 93.9% | (*.f64 a (*.f64 (*.f64 b a) (neg.f64 b))) |
| ▶ | 94.0% | (neg.f64 (*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b)) |
| ▶ | 81.2% | (neg.f64 (*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a))) |
| ✓ | 81.6% | (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
Compiled 94 to 72 computations (23.4% saved)
| Inputs |
|---|
(*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 b a) #s(literal 2 binary64)) |
(*.f64 b a) |
b |
a |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
(neg.f64 (*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a))) |
(*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a)) |
(*.f64 (*.f64 b b) (neg.f64 a)) |
(*.f64 b b) |
(neg.f64 a) |
(neg.f64 (*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b)) |
(*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b) |
(*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) |
(*.f64 b (neg.f64 a)) |
(*.f64 a (*.f64 (*.f64 b a) (neg.f64 b))) |
(*.f64 (*.f64 b a) (neg.f64 b)) |
(neg.f64 b) |
(*.f64 (*.f64 b b) (neg.f64 (*.f64 a a))) |
(neg.f64 (*.f64 a a)) |
(*.f64 a a) |
| Outputs |
|---|
#s(approx (* (pow (* b a) 2) -1) #s(hole binary64 (* -1 (* (pow a 2) (pow b 2))))) |
#s(approx (pow (* b a) 2) #s(hole binary64 (* (pow a 2) (pow b 2)))) |
#s(approx (* b a) #s(hole binary64 (* a b))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (neg (* (* (* b b) (neg a)) (neg a))) #s(hole binary64 (* -1 (* (pow a 2) (pow b 2))))) |
#s(approx (* (* (* b b) (neg a)) (neg a)) #s(hole binary64 (* (pow a 2) (pow b 2)))) |
#s(approx (* (* b b) (neg a)) #s(hole binary64 (* -1 (* a (pow b 2))))) |
#s(approx (neg a) #s(hole binary64 (* -1 a))) |
#s(approx (neg (* (* (* b (neg a)) (neg a)) b)) #s(hole binary64 (* -1 (* (pow a 2) (pow b 2))))) |
#s(approx (* (* (* b (neg a)) (neg a)) b) #s(hole binary64 (* (pow a 2) (pow b 2)))) |
#s(approx (* (* b (neg a)) (neg a)) #s(hole binary64 (* (pow a 2) b))) |
#s(approx (* b (neg a)) #s(hole binary64 (* -1 (* a b)))) |
#s(approx (* a (* (* b a) (neg b))) #s(hole binary64 (* -1 (* (pow a 2) (pow b 2))))) |
#s(approx (* (* b a) (neg b)) #s(hole binary64 (* -1 (* a (pow b 2))))) |
#s(approx (* (* b b) (neg (* a a))) #s(hole binary64 (* -1 (* (pow a 2) (pow b 2))))) |
#s(approx (neg (* a a)) #s(hole binary64 (* -1 (pow a 2)))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | inf | ((* (pow (* b a) 2) -1) (pow (* b a) 2) (* b a) b a 2 -1 (neg (* (* (* b b) (neg a)) (neg a))) (* (* (* b b) (neg a)) (neg a)) (* (* b b) (neg a)) (* b b) (neg a) (neg (* (* (* b (neg a)) (neg a)) b)) (* (* (* b (neg a)) (neg a)) b) (* (* b (neg a)) (neg a)) (* b (neg a)) (* a (* (* b a) (neg b))) (* (* b a) (neg b)) (neg b) (* (* b b) (neg (* a a))) (neg (* a a)) (* a a)) |
| 2.0ms | b | @ | -inf | ((* (pow (* b a) 2) -1) (pow (* b a) 2) (* b a) b a 2 -1 (neg (* (* (* b b) (neg a)) (neg a))) (* (* (* b b) (neg a)) (neg a)) (* (* b b) (neg a)) (* b b) (neg a) (neg (* (* (* b (neg a)) (neg a)) b)) (* (* (* b (neg a)) (neg a)) b) (* (* b (neg a)) (neg a)) (* b (neg a)) (* a (* (* b a) (neg b))) (* (* b a) (neg b)) (neg b) (* (* b b) (neg (* a a))) (neg (* a a)) (* a a)) |
| 2.0ms | a | @ | 0 | ((* (pow (* b a) 2) -1) (pow (* b a) 2) (* b a) b a 2 -1 (neg (* (* (* b b) (neg a)) (neg a))) (* (* (* b b) (neg a)) (neg a)) (* (* b b) (neg a)) (* b b) (neg a) (neg (* (* (* b (neg a)) (neg a)) b)) (* (* (* b (neg a)) (neg a)) b) (* (* b (neg a)) (neg a)) (* b (neg a)) (* a (* (* b a) (neg b))) (* (* b a) (neg b)) (neg b) (* (* b b) (neg (* a a))) (neg (* a a)) (* a a)) |
| 2.0ms | a | @ | -inf | ((* (pow (* b a) 2) -1) (pow (* b a) 2) (* b a) b a 2 -1 (neg (* (* (* b b) (neg a)) (neg a))) (* (* (* b b) (neg a)) (neg a)) (* (* b b) (neg a)) (* b b) (neg a) (neg (* (* (* b (neg a)) (neg a)) b)) (* (* (* b (neg a)) (neg a)) b) (* (* b (neg a)) (neg a)) (* b (neg a)) (* a (* (* b a) (neg b))) (* (* b a) (neg b)) (neg b) (* (* b b) (neg (* a a))) (neg (* a a)) (* a a)) |
| 2.0ms | b | @ | inf | ((* (pow (* b a) 2) -1) (pow (* b a) 2) (* b a) b a 2 -1 (neg (* (* (* b b) (neg a)) (neg a))) (* (* (* b b) (neg a)) (neg a)) (* (* b b) (neg a)) (* b b) (neg a) (neg (* (* (* b (neg a)) (neg a)) b)) (* (* (* b (neg a)) (neg a)) b) (* (* b (neg a)) (neg a)) (* b (neg a)) (* a (* (* b a) (neg b))) (* (* b a) (neg b)) (neg b) (* (* b b) (neg (* a a))) (neg (* a a)) (* a a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 350 |
| 0 | 99 | 277 |
| 1 | 201 | 277 |
| 0 | 508 | 277 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 b a) #s(literal 2 binary64)) |
(*.f64 b a) |
b |
a |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
(neg.f64 (*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a))) |
(*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a)) |
(*.f64 (*.f64 b b) (neg.f64 a)) |
(*.f64 b b) |
(neg.f64 a) |
(neg.f64 (*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b)) |
(*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b) |
(*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) |
(*.f64 b (neg.f64 a)) |
(*.f64 a (*.f64 (*.f64 b a) (neg.f64 b))) |
(*.f64 (*.f64 b a) (neg.f64 b)) |
(neg.f64 b) |
(*.f64 (*.f64 b b) (neg.f64 (*.f64 a a))) |
(neg.f64 (*.f64 a a)) |
(*.f64 a a) |
#s(approx (* (pow (* b a) 2) -1) #s(hole binary64 (* -1 (* (pow a 2) (pow b 2))))) |
#s(approx (pow (* b a) 2) #s(hole binary64 (* (pow a 2) (pow b 2)))) |
#s(approx (* b a) #s(hole binary64 (* a b))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (neg (* (* (* b b) (neg a)) (neg a))) #s(hole binary64 (* -1 (* (pow a 2) (pow b 2))))) |
#s(approx (* (* (* b b) (neg a)) (neg a)) #s(hole binary64 (* (pow a 2) (pow b 2)))) |
#s(approx (* (* b b) (neg a)) #s(hole binary64 (* -1 (* a (pow b 2))))) |
#s(approx (neg a) #s(hole binary64 (* -1 a))) |
#s(approx (neg (* (* (* b (neg a)) (neg a)) b)) #s(hole binary64 (* -1 (* (pow a 2) (pow b 2))))) |
#s(approx (* (* (* b (neg a)) (neg a)) b) #s(hole binary64 (* (pow a 2) (pow b 2)))) |
#s(approx (* (* b (neg a)) (neg a)) #s(hole binary64 (* (pow a 2) b))) |
#s(approx (* b (neg a)) #s(hole binary64 (* -1 (* a b)))) |
#s(approx (* a (* (* b a) (neg b))) #s(hole binary64 (* -1 (* (pow a 2) (pow b 2))))) |
#s(approx (* (* b a) (neg b)) #s(hole binary64 (* -1 (* a (pow b 2))))) |
#s(approx (* (* b b) (neg (* a a))) #s(hole binary64 (* -1 (* (pow a 2) (pow b 2))))) |
#s(approx (neg (* a a)) #s(hole binary64 (* -1 (pow a 2)))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (* b b) #s(hole binary64 (pow b 2))) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) (*.f64 a a)) |
(*.f64 (*.f64 (*.f64 (neg.f64 a) a) (fabs.f64 b)) (fabs.f64 b)) |
(*.f64 (*.f64 (*.f64 (neg.f64 a) a) (neg.f64 b)) (neg.f64 b)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) (*.f64 a a)) |
(*.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 b) a)) (*.f64 (neg.f64 b) a)) |
(*.f64 (*.f64 (neg.f64 b) (*.f64 a a)) b) |
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) (*.f64 (neg.f64 a) a))) |
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))) |
(*.f64 (neg.f64 b) (*.f64 (*.f64 a b) a)) |
(*.f64 (*.f64 (*.f64 b b) a) (neg.f64 a)) |
(*.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 a) (*.f64 (*.f64 b b) a)) |
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(*.f64 (*.f64 a a) (*.f64 b b)) |
(*.f64 (*.f64 (*.f64 a b) a) b) |
(*.f64 (*.f64 (neg.f64 b) a) (*.f64 (neg.f64 b) a)) |
(*.f64 (*.f64 (*.f64 (neg.f64 b) b) a) (neg.f64 a)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) |
(*.f64 (*.f64 a b) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) a))) |
(*.f64 (*.f64 a b) (*.f64 a b)) |
(*.f64 a (*.f64 (*.f64 b b) a)) |
(*.f64 b (*.f64 (*.f64 a b) a)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 a b))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (neg.f64 b) a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a b) #s(literal 2 binary64)) |
(neg.f64 (neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) (*.f64 (log.f64 b) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a b)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 a b)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 a b)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (neg.f64 b) a) #s(literal -1 binary64)) a) |
(*.f64 (*.f64 b (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 b) a)) a) |
(*.f64 (*.f64 (neg.f64 b) (*.f64 a a)) #s(literal -1 binary64)) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) b)) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 b) a)) |
(*.f64 (*.f64 a a) b) |
(*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) (*.f64 a a))) |
(*.f64 (*.f64 a b) a) |
(*.f64 a (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) a))) |
(*.f64 a (*.f64 a b)) |
(*.f64 b (*.f64 a a)) |
(neg.f64 (*.f64 (neg.f64 b) (*.f64 a a))) |
(*.f64 (neg.f64 b) a) |
(*.f64 (neg.f64 a) b) |
(*.f64 #s(literal -1 binary64) (*.f64 a b)) |
(*.f64 (*.f64 a b) #s(literal -1 binary64)) |
(*.f64 a (neg.f64 b)) |
(*.f64 b (neg.f64 a)) |
(neg.f64 (*.f64 a b)) |
(*.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) (*.f64 a a)) |
(*.f64 (*.f64 (*.f64 (neg.f64 a) a) (fabs.f64 b)) (fabs.f64 b)) |
(*.f64 (*.f64 (*.f64 (neg.f64 a) a) (neg.f64 b)) (neg.f64 b)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) (*.f64 a a)) |
(*.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 b) a)) (*.f64 (neg.f64 b) a)) |
(*.f64 (*.f64 (neg.f64 b) (*.f64 a a)) b) |
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) (*.f64 (neg.f64 a) a))) |
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))) |
(*.f64 (neg.f64 b) (*.f64 (*.f64 a b) a)) |
(*.f64 (*.f64 (*.f64 b b) a) (neg.f64 a)) |
(*.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 a) (*.f64 (*.f64 b b) a)) |
(*.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) |
(*.f64 (*.f64 a a) (*.f64 (*.f64 b b) #s(literal -1 binary64))) |
(*.f64 (*.f64 a a) (*.f64 #s(literal -1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 b (neg.f64 b))) |
(*.f64 (*.f64 a a) (neg.f64 (*.f64 b b))) |
(*.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) |
(*.f64 (*.f64 (*.f64 a b) a) (neg.f64 b)) |
(*.f64 (*.f64 (neg.f64 b) a) (*.f64 (neg.f64 a) (neg.f64 b))) |
(*.f64 (*.f64 (neg.f64 b) a) (neg.f64 (*.f64 (neg.f64 b) a))) |
(*.f64 (*.f64 (neg.f64 b) a) (*.f64 a b)) |
(*.f64 (*.f64 (*.f64 (neg.f64 b) b) a) a) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) |
(*.f64 (*.f64 a b) (*.f64 (neg.f64 b) a)) |
(*.f64 a (*.f64 (*.f64 (neg.f64 b) b) a)) |
(*.f64 b (*.f64 (neg.f64 b) (*.f64 a a))) |
(neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) a) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) a) |
(*.f64 (*.f64 (neg.f64 b) b) a) |
(*.f64 (neg.f64 (*.f64 b b)) a) |
(*.f64 (*.f64 (neg.f64 a) (fabs.f64 b)) (fabs.f64 b)) |
(*.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (neg.f64 b)) |
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) (neg.f64 a))) |
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) (neg.f64 a))) |
(*.f64 (neg.f64 b) (*.f64 a b)) |
(*.f64 (*.f64 (*.f64 b b) a) #s(literal -1 binary64)) |
(*.f64 (neg.f64 a) (*.f64 b b)) |
(*.f64 (*.f64 b b) (neg.f64 a)) |
(*.f64 (*.f64 (neg.f64 b) a) b) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) a)) |
(*.f64 (*.f64 a b) (neg.f64 b)) |
(*.f64 a (*.f64 (*.f64 b b) #s(literal -1 binary64))) |
(*.f64 a (*.f64 #s(literal -1 binary64) (*.f64 b b))) |
(*.f64 a (*.f64 b (neg.f64 b))) |
(*.f64 a (neg.f64 (*.f64 b b))) |
(*.f64 b (*.f64 (neg.f64 b) a)) |
(neg.f64 (*.f64 (*.f64 b b) a)) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
(*.f64 (*.f64 (*.f64 b b) #s(literal -1 binary64)) (*.f64 a a)) |
(*.f64 (*.f64 (*.f64 (neg.f64 a) a) (fabs.f64 b)) (fabs.f64 b)) |
(*.f64 (*.f64 (*.f64 (neg.f64 a) a) (neg.f64 b)) (neg.f64 b)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 b b)) (*.f64 a a)) |
(*.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 b) a)) (*.f64 (neg.f64 b) a)) |
(*.f64 (*.f64 (neg.f64 b) (*.f64 a a)) b) |
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) (*.f64 (neg.f64 a) a))) |
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))) |
(*.f64 (neg.f64 b) (*.f64 (*.f64 a b) a)) |
(*.f64 (*.f64 (*.f64 b b) a) (neg.f64 a)) |
(*.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 a) (*.f64 (*.f64 b b) a)) |
(*.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)) |
(*.f64 (*.f64 a a) (*.f64 (*.f64 b b) #s(literal -1 binary64))) |
(*.f64 (*.f64 a a) (*.f64 #s(literal -1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 a a) (*.f64 b (neg.f64 b))) |
(*.f64 (*.f64 a a) (neg.f64 (*.f64 b b))) |
(*.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)) |
(*.f64 (*.f64 (*.f64 a b) a) (neg.f64 b)) |
(*.f64 (*.f64 (neg.f64 b) a) (*.f64 (neg.f64 a) (neg.f64 b))) |
(*.f64 (*.f64 (neg.f64 b) a) (neg.f64 (*.f64 (neg.f64 b) a))) |
(*.f64 (*.f64 (neg.f64 b) a) (*.f64 a b)) |
(*.f64 (*.f64 (*.f64 (neg.f64 b) b) a) a) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) |
(*.f64 (*.f64 a b) (*.f64 (neg.f64 b) a)) |
(*.f64 a (*.f64 (*.f64 (neg.f64 b) b) a)) |
(*.f64 b (*.f64 (neg.f64 b) (*.f64 a a))) |
(neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) #s(literal -1 binary64))) |
(*.f64 (fabs.f64 a) (neg.f64 (fabs.f64 a))) |
(*.f64 (neg.f64 a) a) |
(*.f64 (*.f64 a a) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 a a)) |
(*.f64 a (neg.f64 a)) |
(neg.f64 (*.f64 a a)) |
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a))) |
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a))) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 #s(literal 1 binary64) (*.f64 a a)) |
(*.f64 (fabs.f64 a) (fabs.f64 a)) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 (*.f64 (neg.f64 a) a) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) a)) |
(*.f64 a a) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 a) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 a) a)) |
(fabs.f64 (*.f64 a a)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
#s(approx (* (* b b) (neg (* a a))) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) |
#s(approx (pow (* b a) 2) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) |
#s(approx (* b a) (*.f64 a b)) |
#s(approx a a) |
#s(approx (* (* b b) (neg (* a a))) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) |
#s(approx (pow (* b a) 2) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) |
#s(approx (* (* b a) (neg b)) (*.f64 (*.f64 (neg.f64 b) b) a)) |
#s(approx (neg a) (neg.f64 a)) |
#s(approx (* (* b b) (neg (* a a))) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) |
#s(approx (pow (* b a) 2) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) |
#s(approx (* (* b (neg a)) (neg a)) (*.f64 (*.f64 a b) a)) |
#s(approx (* b (neg a)) (*.f64 (neg.f64 b) a)) |
#s(approx (* (* b b) (neg (* a a))) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) |
#s(approx (* (* b a) (neg b)) (*.f64 (*.f64 (neg.f64 b) b) a)) |
#s(approx (* (* b b) (neg (* a a))) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) |
#s(approx (neg (* a a)) (*.f64 (neg.f64 a) a)) |
#s(approx (* a a) (*.f64 a a)) |
#s(approx b b) |
#s(approx (* b b) (*.f64 b b)) |
#s(approx (neg b) (neg.f64 b)) |
Compiled 2 835 to 664 computations (76.6% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 270 | 1 | 271 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 271 | 6 | 277 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
| ▶ | 93.8% | (*.f64 a (*.f64 (*.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))) (neg.f64 b))) |
| ✓ | 93.9% | (*.f64 a (*.f64 (*.f64 b a) (neg.f64 b))) |
| ✓ | 94.0% | (neg.f64 (*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b)) |
| ✓ | 81.2% | (neg.f64 (*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a))) |
| ✓ | 81.6% | (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
Compiled 59 to 42 computations (28.8% saved)
| Inputs |
|---|
(*.f64 a (*.f64 (*.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))) (neg.f64 b))) |
a |
(*.f64 (*.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))) (neg.f64 b)) |
(*.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) |
(*.f64 a b) |
b |
#s(literal 1/2 binary64) |
(neg.f64 b) |
| Outputs |
|---|
#s(approx (* a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b))) #s(hole binary64 (* -1 (* (pow a 2) (pow b 2))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b)) #s(hole binary64 (* -1 (* a (pow b 2))))) |
#s(approx (* (pow (* a b) 1/2) (pow (* a b) 1/2)) #s(hole binary64 (* a b))) |
#s(approx (pow (* a b) 1/2) #s(hole binary64 (sqrt (* a b)))) |
#s(approx (* a b) #s(hole binary64 (* a b))) |
#s(approx (* a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b))) #s(hole binary64 (* (pow a 2) (* (pow b 2) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b)) #s(hole binary64 (* a (* (pow b 2) (pow (sqrt -1) 2))))) |
#s(approx (* (pow (* a b) 1/2) (pow (* a b) 1/2)) #s(hole binary64 (* -1 (* a (* b (pow (sqrt -1) 2)))))) |
#s(approx (pow (* a b) 1/2) #s(hole binary64 (* -1 (* (sqrt (* a b)) (pow (sqrt -1) 2))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | -inf | ((* a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b))) a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b)) (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (pow (* a b) 1/2) (* a b) b 1/2 (neg b)) |
| 3.0ms | b | @ | -inf | ((* a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b))) a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b)) (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (pow (* a b) 1/2) (* a b) b 1/2 (neg b)) |
| 2.0ms | a | @ | inf | ((* a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b))) a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b)) (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (pow (* a b) 1/2) (* a b) b 1/2 (neg b)) |
| 2.0ms | b | @ | inf | ((* a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b))) a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b)) (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (pow (* a b) 1/2) (* a b) b 1/2 (neg b)) |
| 2.0ms | b | @ | 0 | ((* a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b))) a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b)) (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (pow (* a b) 1/2) (* a b) b 1/2 (neg b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 239 |
| 0 | 55 | 158 |
| 0 | 148 | 158 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 a (*.f64 (*.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))) (neg.f64 b))) |
a |
(*.f64 (*.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))) (neg.f64 b)) |
(*.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) |
(*.f64 a b) |
b |
#s(literal 1/2 binary64) |
(neg.f64 b) |
#s(approx (* a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b))) #s(hole binary64 (* -1 (* (pow a 2) (pow b 2))))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b)) #s(hole binary64 (* -1 (* a (pow b 2))))) |
#s(approx (* (pow (* a b) 1/2) (pow (* a b) 1/2)) #s(hole binary64 (* a b))) |
#s(approx (pow (* a b) 1/2) #s(hole binary64 (sqrt (* a b)))) |
#s(approx (* a b) #s(hole binary64 (* a b))) |
#s(approx (* a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b))) #s(hole binary64 (* (pow a 2) (* (pow b 2) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b)) #s(hole binary64 (* a (* (pow b 2) (pow (sqrt -1) 2))))) |
#s(approx (* (pow (* a b) 1/2) (pow (* a b) 1/2)) #s(hole binary64 (* -1 (* a (* b (pow (sqrt -1) 2)))))) |
#s(approx (pow (* a b) 1/2) #s(hole binary64 (* -1 (* (sqrt (* a b)) (pow (sqrt -1) 2))))) |
#s(approx b #s(hole binary64 b)) |
#s(approx (neg b) #s(hole binary64 (* -1 b))) |
| Outputs |
|---|
(*.f64 (*.f64 a (pow.f64 (*.f64 b a) #s(literal 1 binary64))) (neg.f64 b)) |
(*.f64 (*.f64 (neg.f64 b) (pow.f64 (*.f64 b a) #s(literal 1 binary64))) a) |
(*.f64 a (*.f64 (neg.f64 b) (pow.f64 (*.f64 b a) #s(literal 1 binary64)))) |
a |
(*.f64 (neg.f64 b) (pow.f64 (*.f64 b a) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 b a) #s(literal 1 binary64)) (neg.f64 b)) |
(*.f64 (sqrt.f64 (*.f64 b a)) (*.f64 (sqrt.f64 (*.f64 b a)) (neg.f64 b))) |
(neg.f64 (*.f64 (pow.f64 (*.f64 b a) #s(literal 1 binary64)) b)) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 b a))) (neg.f64 (sqrt.f64 (*.f64 b a)))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 b a))) (fabs.f64 (sqrt.f64 (*.f64 b a)))) |
(*.f64 (sqrt.f64 (*.f64 b a)) (sqrt.f64 (*.f64 b a))) |
(pow.f64 (*.f64 (*.f64 b a) (*.f64 b a)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 b a)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b a) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (*.f64 b a) #s(literal 1/4 binary64)) (pow.f64 (*.f64 b a) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 a) (sqrt.f64 b)) |
(*.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 b a) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 b a)) |
(exp.f64 (*.f64 (log.f64 (*.f64 b a)) #s(literal 1/2 binary64))) |
(*.f64 b a) |
(*.f64 a b) |
b |
#s(literal 1/2 binary64) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(neg.f64 b) |
#s(approx (* a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b))) (neg.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)))) |
#s(approx a a) |
#s(approx (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b)) (neg.f64 (*.f64 (*.f64 b b) a))) |
#s(approx (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (*.f64 b a)) |
#s(approx (pow (* a b) 1/2) (sqrt.f64 (*.f64 b a))) |
#s(approx (* a b) (*.f64 b a)) |
#s(approx (* a (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b))) (neg.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)))) |
#s(approx (* (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg b)) (neg.f64 (*.f64 (*.f64 b b) a))) |
#s(approx (* (pow (* a b) 1/2) (pow (* a b) 1/2)) (neg.f64 (*.f64 (neg.f64 b) a))) |
#s(approx (pow (* a b) 1/2) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 b a))))) |
#s(approx b b) |
#s(approx (neg b) (neg.f64 b)) |
Compiled 952 to 173 computations (81.8% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 57 | 0 | 57 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 57 | 6 | 63 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
| ✓ | 93.8% | (*.f64 a (*.f64 (*.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))) (neg.f64 b))) |
| ✓ | 93.9% | (*.f64 a (*.f64 (*.f64 b a) (neg.f64 b))) |
| ✓ | 94.0% | (neg.f64 (*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b)) |
| ✓ | 81.2% | (neg.f64 (*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a))) |
| ✓ | 81.6% | (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
Compiled 126 to 73 computations (42.1% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
(neg.f64 (*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a))) |
(neg.f64 (*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b)) |
(*.f64 a (*.f64 (*.f64 b a) (neg.f64 b))) |
(*.f64 a (*.f64 (*.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))) (neg.f64 b))) |
(*.f64 (*.f64 b b) (neg.f64 (*.f64 a a))) |
(*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
5 calls:
| 3.0ms | b |
| 3.0ms | a |
| 2.0ms | (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
| 2.0ms | (*.f64 (*.f64 (*.f64 a a) b) b) |
| 2.0ms | (*.f64 a a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (*.f64 a a) |
| 99.6% | 1 | (*.f64 (*.f64 (*.f64 a a) b) b) |
| 99.6% | 1 | (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
| 99.6% | 1 | a |
| 99.6% | 1 | b |
Compiled 20 to 18 computations (10% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
(neg.f64 (*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a))) |
(neg.f64 (*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b)) |
(*.f64 a (*.f64 (*.f64 b a) (neg.f64 b))) |
(*.f64 a (*.f64 (*.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))) (neg.f64 b))) |
(*.f64 (*.f64 b b) (neg.f64 (*.f64 a a))) |
| Outputs |
|---|
(*.f64 a (*.f64 (*.f64 b a) (neg.f64 b))) |
(neg.f64 (*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b)) |
5 calls:
| 2.0ms | b |
| 2.0ms | (*.f64 (*.f64 (*.f64 a a) b) b) |
| 2.0ms | a |
| 2.0ms | (*.f64 a a) |
| 2.0ms | (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 2 | (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
| 98.3% | 2 | b |
| 97.1% | 2 | (*.f64 a a) |
| 97.1% | 2 | (*.f64 (*.f64 (*.f64 a a) b) b) |
| 98.6% | 2 | a |
Compiled 20 to 18 computations (10% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
(neg.f64 (*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a))) |
(neg.f64 (*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b)) |
| Outputs |
|---|
(neg.f64 (*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a))) |
(neg.f64 (*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b)) |
5 calls:
| 2.0ms | a |
| 2.0ms | b |
| 1.0ms | (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
| 1.0ms | (*.f64 (*.f64 (*.f64 a a) b) b) |
| 1.0ms | (*.f64 a a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.0% | 1 | (*.f64 a a) |
| 94.0% | 1 | (*.f64 (*.f64 (*.f64 a a) b) b) |
| 94.0% | 1 | (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
| 96.0% | 2 | b |
| 94.0% | 1 | a |
Compiled 20 to 18 computations (10% saved)
| Inputs |
|---|
(neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
(neg.f64 (*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a))) |
| Outputs |
|---|
(neg.f64 (*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a))) |
(neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
5 calls:
| 2.0ms | b |
| 1.0ms | a |
| 1.0ms | (*.f64 a a) |
| 1.0ms | (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
| 1.0ms | (*.f64 (*.f64 (*.f64 a a) b) b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.0% | 2 | (*.f64 a a) |
| 87.1% | 2 | (*.f64 (*.f64 (*.f64 a a) b) b) |
| 87.1% | 2 | (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
| 87.0% | 2 | a |
| 87.2% | 2 | b |
Compiled 20 to 18 computations (10% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
| Outputs |
|---|
(neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
5 calls:
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (*.f64 a a) |
| 1.0ms | (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
| 1.0ms | (*.f64 (*.f64 (*.f64 a a) b) b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.6% | 1 | (*.f64 a a) |
| 81.6% | 1 | a |
| 81.6% | 1 | (*.f64 (*.f64 (*.f64 a a) b) b) |
| 81.6% | 1 | (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
| 81.6% | 1 | b |
Compiled 20 to 18 computations (10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 2.0560378763484583e-236 | 2.584964430609794e-236 |
| 3.0ms | 48× | 0 | valid |
Compiled 65 to 56 computations (13.8% saved)
ival-mult: 1.0ms (61% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.191996883606755e+149 | 1.663255082047698e+153 |
| 6.0ms | 128× | 0 | valid |
Compiled 171 to 139 computations (18.7% saved)
ival-mult: 2.0ms (67.4% of total)ival-neg: 1.0ms (33.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 4.459777474213579e+148 | 1.191996883606755e+149 |
| 4.0ms | 80× | 0 | valid |
Compiled 101 to 86 computations (14.9% saved)
ival-mult: 1.0ms (53.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 83 |
| 1 | 69 | 75 |
| 2 | 140 | 75 |
| 3 | 212 | 75 |
| 4 | 321 | 75 |
| 5 | 702 | 75 |
| 6 | 3837 | 75 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(if (<=.f64 a #s(literal 1460584099842223/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (*.f64 a (*.f64 (*.f64 b a) (neg.f64 b))) (neg.f64 (*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b))) |
(if (<=.f64 b #s(literal 1649999999999999971649507943851899081917605158646046413191808059847196456402775558223768939727055555706318127651126454000366950574691667215490773629796352 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a))) (neg.f64 (*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b))) |
(if (<=.f64 b #s(literal 114999999999999991436254722243737785609325482593446985611122047153688485440383794211680529898633603371539043185179041968993144663259909535619073703936 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b))) |
(neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(if (<=.f64 a #s(literal 1460584099842223/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (*.f64 a (*.f64 (*.f64 b a) (neg.f64 b))) (neg.f64 (*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b))) |
(if (<=.f64 a #s(literal 1460584099842223/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (*.f64 (neg.f64 a) (*.f64 (*.f64 b a) b)) (*.f64 (*.f64 (*.f64 (neg.f64 b) a) a) b)) |
(if (<=.f64 b #s(literal 1649999999999999971649507943851899081917605158646046413191808059847196456402775558223768939727055555706318127651126454000366950574691667215490773629796352 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a))) (neg.f64 (*.f64 (*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a)) b))) |
(if (<=.f64 b #s(literal 1649999999999999971649507943851899081917605158646046413191808059847196456402775558223768939727055555706318127651126454000366950574691667215490773629796352 binary64)) (*.f64 (*.f64 (*.f64 b b) a) (neg.f64 a)) (*.f64 (*.f64 (*.f64 (neg.f64 b) a) a) b)) |
(if (<=.f64 b #s(literal 114999999999999991436254722243737785609325482593446985611122047153688485440383794211680529898633603371539043185179041968993144663259909535619073703936 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 b b) (neg.f64 a)) (neg.f64 a))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b))) |
(if (<=.f64 b #s(literal 114999999999999991436254722243737785609325482593446985611122047153688485440383794211680529898633603371539043185179041968993144663259909535619073703936 binary64)) (*.f64 (*.f64 (*.f64 b b) a) (neg.f64 a)) (*.f64 (*.f64 (*.f64 a a) b) (neg.f64 b))) |
(neg.f64 (*.f64 (*.f64 (*.f64 a a) b) b)) |
(*.f64 (*.f64 (*.f64 a a) b) (neg.f64 b)) |
| 1× | done |
Compiled 75 to 29 computations (61.3% saved)
(sort a b)
(abs b)
(abs a)
Compiled 250 to 154 computations (38.4% saved)
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