
Time bar (total: 1.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 267.0ms | 8 256× | 0 | valid |
ival-mult!: 93.0ms (81% of total)ival-sub!: 20.0ms (17.4% of total)adjust: 2.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x x) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 18.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-mult!: 5.0ms (81.1% of total)ival-sub!: 1.0ms (16.2% of total)adjust: 0.0ms (0% of total)Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 29 | 22 |
| 2 | 83 | 22 |
| 3 | 237 | 22 |
| 4 | 757 | 21 |
| 5 | 3878 | 21 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(abs x)
Compiled 14 to 12 computations (14.3% saved)
| Inputs |
|---|
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1)) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1))) |
#s(approx (* (* x x) 2) #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 (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (* (* x x) 2) 1) (* (* x x) 2) (* x x) x 2 1) |
| 1.0ms | x | @ | -inf | ((- (* (* x x) 2) 1) (* (* x x) 2) (* x x) x 2 1) |
| 1.0ms | x | @ | 0 | ((- (* (* x x) 2) 1) (* (* x x) 2) (* x x) x 2 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 95 |
| 0 | 26 | 93 |
| 1 | 97 | 93 |
| 0 | 538 | 87 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1)) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1))) |
#s(approx (* (* x x) 2) #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 (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (+.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4 binary64) (fma.f64 x (+.f64 x x) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 x (+.f64 x x) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4 binary64) (fma.f64 x (+.f64 x x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x)) #s(literal -1 binary64)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x (+.f64 x x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x x)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (+.f64 x x) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(fma.f64 x x (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4 binary64)) (fma.f64 x (+.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4 binary64)) (*.f64 x (+.f64 x x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4 binary64) (fma.f64 x (+.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4 binary64) (fma.f64 x (+.f64 x x) #s(literal 1 binary64))))) |
(-.f64 (*.f64 x (+.f64 x x)) #s(literal 1 binary64)) |
(+.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (+.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x (+.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) |
(*.f64 x (+.f64 x x)) |
(*.f64 x (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 (*.f64 x (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.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 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x x)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 x x (*.f64 x 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)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.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 (fabs.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)) |
(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(literal 2 binary64) |
#s(literal 1 binary64) |
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
#s(approx (- (* (* x x) 2) 1) (fma.f64 x (+.f64 x x) #s(literal -1 binary64))) |
#s(approx (* (* x x) 2) (*.f64 x (+.f64 x x))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx x x) |
#s(approx (- (* (* x x) 2) 1) (*.f64 x (+.f64 x x))) |
#s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)) |
Compiled 944 to 213 computations (77.4% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 80 | 3 | 83 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 81 | 3 | 84 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) |
| ▶ | 52.1% | #s(approx (- (* (* x x) 2) 1) (*.f64 x (+.f64 x x))) |
| ▶ | 49.2% | #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
Compiled 28 to 21 computations (25% saved)
| Inputs |
|---|
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (* (* x x) 2) 1) (*.f64 x (+.f64 x x))) |
(*.f64 x (+.f64 x x)) |
x |
(+.f64 x x) |
(fma.f64 x (+.f64 x x) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1)) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1))) |
#s(approx (* x (+ x x)) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 -1)) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (- (* 2 (pow x 2)) 1))) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2)))))) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((- (* (* x x) 2) 1) -1 (- (* (* x x) 2) 1) (* x (+ x x)) x (+ x x) (+ (* x (+ x x)) -1)) |
| 1.0ms | x | @ | -inf | ((- (* (* x x) 2) 1) -1 (- (* (* x x) 2) 1) (* x (+ x x)) x (+ x x) (+ (* x (+ x x)) -1)) |
| 1.0ms | x | @ | inf | ((- (* (* x x) 2) 1) -1 (- (* (* x x) 2) 1) (* x (+ x x)) x (+ x x) (+ (* x (+ x x)) -1)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 167 |
| 0 | 36 | 169 |
| 1 | 133 | 52 |
| 0 | 982 | 52 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (* (* x x) 2) 1) (*.f64 x (+.f64 x x))) |
(*.f64 x (+.f64 x x)) |
x |
(+.f64 x x) |
(fma.f64 x (+.f64 x x) #s(literal -1 binary64)) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1)) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1))) |
#s(approx (* x (+ x x)) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 -1)) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (- (* 2 (pow x 2)) 1))) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2)))))) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
#s(approx (+ (* x (+ x x)) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (+ (* x (+ x x)) -1) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
#s(approx (+ (* x (+ x x)) -1) #s(literal -1 binary64)) |
#s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64)) |
#s(approx (* x (+ x x)) #s(literal 2 binary64)) |
#s(approx x x) |
#s(approx (* x (+ x x)) #s(literal 2 binary64)) |
#s(approx (+ (* x (+ x x)) -1) #s(literal -1 binary64)) |
#s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64)) |
#s(approx (+ (* x (+ x x)) -1) #s(literal 2 binary64)) |
#s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* x (+ x x)) -1) #s(literal 2 binary64)) |
#s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
Compiled 134 to 35 computations (73.9% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 10 | 3 | 13 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 10 | 6 | 16 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) |
| ✓ | 52.1% | #s(approx (- (* (* x x) 2) 1) (*.f64 x (+.f64 x x))) |
| ▶ | 2.9% | #s(approx (- (* (* x x) 2) 1) #s(approx (* x (+ x x)) #s(literal 2 binary64))) |
| ✓ | 49.2% | #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
| ▶ | 28.7% | #s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
| ▶ | 2.9% | #s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64)) |
Compiled 65 to 48 computations (26.2% saved)
| Inputs |
|---|
#s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(approx (- (* (* x x) 2) 1) #s(approx (* x (+ x x)) #s(literal 2 binary64))) |
#s(approx (* x (+ x x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 -1)) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (- (* 2 (pow x 2)) 1))) |
#s(approx (* (* x x) 1) #s(hole binary64 (pow x 2))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1)) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1))) |
#s(approx (* x (+ x x)) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2)))))) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ (* x (+ x x)) -1) 1 (+ (* x (+ x x)) -1) (* (* x x) 1) (* x x) x (- (* (* x x) 2) 1) (* x (+ x x)) 2) |
| 1.0ms | x | @ | -inf | ((+ (* x (+ x x)) -1) 1 (+ (* x (+ x x)) -1) (* (* x x) 1) (* x x) x (- (* (* x x) 2) 1) (* x (+ x x)) 2) |
| 0.0ms | x | @ | 0 | ((+ (* x (+ x x)) -1) 1 (+ (* x (+ x x)) -1) (* (* x x) 1) (* x x) x (- (* (* x x) 2) 1) (* x (+ x x)) 2) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 197 |
| 0 | 38 | 159 |
| 1 | 143 | 55 |
| 0 | 1172 | 55 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(approx (- (* (* x x) 2) 1) #s(approx (* x (+ x x)) #s(literal 2 binary64))) |
#s(approx (* x (+ x x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 -1)) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (- (* 2 (pow x 2)) 1))) |
#s(approx (* (* x x) 1) #s(hole binary64 (pow x 2))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1)) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1))) |
#s(approx (* x (+ x x)) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2)))))) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
#s(approx (- (* (* x x) 2) 1) x) |
x |
#s(literal 1 binary64) |
#s(approx (- (* (* x x) 2) 1) x) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (- (* (* x x) 2) 1) #s(approx (* x (+ x x)) #s(literal 2 binary64))) |
#s(approx (* x (+ x x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
#s(approx (- (* (* x x) 2) 1) x) |
#s(approx (- (* (* x x) 2) 1) x) |
#s(approx (- (* (* x x) 2) 1) x) |
#s(approx (- (* (* x x) 2) 1) x) |
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
#s(approx (- (* (* x x) 2) 1) x) |
#s(approx (* x (+ x x)) #s(literal 2 binary64)) |
#s(approx (- (* (* x x) 2) 1) #s(literal 2 binary64)) |
#s(approx (- (* (* x x) 2) 1) x) |
#s(approx (- (* (* x x) 2) 1) #s(literal 2 binary64)) |
#s(approx (- (* (* x x) 2) 1) x) |
Compiled 40 to 17 computations (57.5% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 2 | 4 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 3 | 3 |
| Total | 4 | 6 | 10 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) |
| ✓ | 52.1% | #s(approx (- (* (* x x) 2) 1) (*.f64 x (+.f64 x x))) |
| ✓ | 2.9% | #s(approx (- (* (* x x) 2) 1) #s(approx (* x (+ x x)) #s(literal 2 binary64))) |
| ▶ | 4.6% | #s(approx (- (* (* x x) 2) 1) x) |
| ✓ | 49.2% | #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
| ▶ | 25.5% | #s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 x x) x)) |
Compiled 65 to 47 computations (27.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(approx (- (* (* x x) 2) 1) x) |
| Outputs |
|---|
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 -1)) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (- (* 2 (pow x 2)) 1))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1)) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1))) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2)))))) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* x (+ x x)) -1) (* (* x x) x) (* x x) x (- (* (* x x) 2) 1)) |
| 1.0ms | x | @ | inf | ((+ (* x (+ x x)) -1) (* (* x x) x) (* x x) x (- (* (* x x) 2) 1)) |
| 1.0ms | x | @ | 0 | ((+ (* x (+ x x)) -1) (* (* x x) x) (* x x) x (- (* (* x x) 2) 1)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 162 |
| 0 | 36 | 152 |
| 1 | 144 | 64 |
| 0 | 1015 | 64 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(approx (- (* (* x x) 2) 1) x) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 -1)) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (- (* 2 (pow x 2)) 1))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1)) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1))) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (+ (* x (+ x x)) -1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2)))))) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
#s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.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 (fabs.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)) |
(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 (+ (* x (+ x x)) -1) x) |
#s(approx (+ (* x (+ x x)) -1) #s(literal -1 binary64)) |
#s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64)) |
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx x x) |
#s(approx (+ (* x (+ x x)) -1) #s(literal -1 binary64)) |
#s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64)) |
#s(approx (+ (* x (+ x x)) -1) #s(literal 2 binary64)) |
#s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 #s(literal 1 binary64) x) x)) |
#s(approx (+ (* x (+ x x)) -1) #s(literal 2 binary64)) |
#s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 #s(literal 1 binary64) x) x)) |
Compiled 579 to 132 computations (77.2% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 40 | 0 | 40 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 4 | 4 |
| Total | 40 | 6 | 46 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 x (+.f64 x x) #s(literal -1 binary64)) |
| ✓ | 52.1% | #s(approx (- (* (* x x) 2) 1) (*.f64 x (+.f64 x x))) |
| ✓ | 2.9% | #s(approx (- (* (* x x) 2) 1) #s(approx (* x (+ x x)) #s(literal 2 binary64))) |
| ✓ | 4.6% | #s(approx (- (* (* x x) 2) 1) x) |
| ✓ | 49.2% | #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
| ✓ | 25.5% | #s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 x x) x)) |
Compiled 159 to 76 computations (52.2% saved)
| Inputs |
|---|
#s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64)) |
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
#s(approx (- (* (* x x) 2) 1) x) |
#s(approx (- (* (* x x) 2) 1) #s(approx (* x (+ x x)) #s(literal 2 binary64))) |
#s(approx (- (* (* x x) 2) 1) (*.f64 x (+.f64 x x))) |
#s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 x x) x)) |
(fma.f64 x (+.f64 x x) #s(literal -1 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 x (+.f64 x x) #s(literal -1 binary64)) |
4 calls:
| 7.0ms | x |
| 3.0ms | (*.f64 (*.f64 x x) #s(literal 2 binary64)) |
| 3.0ms | (*.f64 x x) |
| 3.0ms | (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (*.f64 x x) |
| 100.0% | 1 | (*.f64 (*.f64 x x) #s(literal 2 binary64)) |
| 100.0% | 1 | (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| 100.0% | 1 | x |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
#s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64)) |
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
#s(approx (- (* (* x x) 2) 1) x) |
#s(approx (- (* (* x x) 2) 1) #s(approx (* x (+ x x)) #s(literal 2 binary64))) |
#s(approx (- (* (* x x) 2) 1) (*.f64 x (+.f64 x x))) |
#s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* x (+ x x)) -1) (*.f64 (*.f64 x x) x)) |
| Outputs |
|---|
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
#s(approx (- (* (* x x) 2) 1) (*.f64 x (+.f64 x x))) |
4 calls:
| 8.0ms | (*.f64 x x) |
| 7.0ms | (*.f64 (*.f64 x x) #s(literal 2 binary64)) |
| 2.0ms | x |
| 2.0ms | (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | (*.f64 x x) |
| 99.5% | 2 | (*.f64 (*.f64 x x) #s(literal 2 binary64)) |
| 99.5% | 2 | (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| 99.5% | 2 | x |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
#s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64)) |
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
#s(approx (- (* (* x x) 2) 1) x) |
#s(approx (- (* (* x x) 2) 1) #s(approx (* x (+ x x)) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
#s(approx (- (* (* x x) 2) 1) x) |
4 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) #s(literal 2 binary64)) |
| 2.0ms | (*.f64 x x) |
| 1.0ms | (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 2 | (*.f64 x x) |
| 52.2% | 2 | (*.f64 (*.f64 x x) #s(literal 2 binary64)) |
| 52.2% | 2 | (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| 52.2% | 2 | x |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
#s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64)) |
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) |
#s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64)) |
4 calls:
| 2.0ms | (*.f64 x x) |
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 x x) #s(literal 2 binary64)) |
| 1.0ms | (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.9% | 2 | (*.f64 x x) |
| 50.9% | 2 | (*.f64 (*.f64 x x) #s(literal 2 binary64)) |
| 50.9% | 2 | (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| 50.9% | 2 | x |
Compiled 16 to 13 computations (18.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (+ (* x (+ x x)) -1) #s(literal 1 binary64)) |
4 calls:
| 1.0ms | (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 x x) #s(literal 2 binary64)) |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.9% | 1 | (*.f64 x x) |
| 2.9% | 1 | (*.f64 (*.f64 x x) #s(literal 2 binary64)) |
| 2.9% | 1 | (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
| 2.9% | 1 | x |
Compiled 16 to 13 computations (18.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 3.6863610841665176e-7 | 0.7230844297704999 |
| 4.0ms | 144× | 0 | valid |
Compiled 208 to 181 computations (13% saved)
ival-mult!: 1.0ms (62.2% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.6863610841665176e-7 | 0.7230844297704999 |
Compiled 172 to 163 computations (5.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.6863610841665176e-7 | 0.7230844297704999 |
Compiled 172 to 163 computations (5.2% saved)
| 1× | done |
Compiled 85 to 24 computations (71.8% saved)
(abs x)
Compiled 354 to 168 computations (52.5% saved)
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