
Time bar (total: 7.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 1 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 2 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 3 |
| 75% | 37.5% | 12.5% | 50% | 0% | 0% | 0% | 4 |
| 87.5% | 43.7% | 6.2% | 50% | 0% | 0% | 0% | 5 |
| 93.8% | 46.9% | 3.1% | 50% | 0% | 0% | 0% | 6 |
| 96.9% | 48.4% | 1.6% | 50% | 0% | 0% | 0% | 7 |
| 98.4% | 49.2% | 0.8% | 50% | 0% | 0% | 0% | 8 |
| 99.2% | 49.6% | 0.4% | 50% | 0% | 0% | 0% | 9 |
| 99.6% | 49.8% | 0.2% | 50% | 0% | 0% | 0% | 10 |
| 99.8% | 49.9% | 0.1% | 50% | 0% | 0% | 0% | 11 |
| 99.9% | 49.9% | 0% | 50% | 0% | 0% | 0% | 12 |
Compiled 29 to 13 computations (55.2% saved)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 365.0ms (47% of total)ival-div: 220.0ms (28.3% of total)ival-sub: 154.0ms (19.8% of total)ival->: 22.0ms (2.8% of total)exact: 13.0ms (1.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 195 | 1 | (4.0685433553542705e-162) | 3 | (1.1301171863215921e-80) | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 62 | 0 | - | 0 | - | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
| 0 | 0 | - | 0 | - | (*.f64 i i) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 i i) (*.f64 i i)) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | i |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) i) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | o/o | 62 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 101 | |
| ↳ | (*.f64 i i) | overflow | 124 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 62 | |
/.f64 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) | o/o | 62 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 101 | |
| ↳ | (*.f64 i i) | overflow | 124 | |
| ↳ | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | overflow | 62 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 62 | |
| ↳ | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) | overflow | 62 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 62 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | u/u | 60 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | underflow | 92 | |
| ↳ | (*.f64 i i) | underflow | 120 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | underflow | 60 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | o/n | 39 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 101 | |
| ↳ | (*.f64 i i) | overflow | 124 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | u/n | 32 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | underflow | 92 | |
| ↳ | (*.f64 i i) | underflow | 120 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 192 | 3 |
| - | 1 | 60 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 192 | 0 | 3 |
| - | 1 | 1 | 59 |
| number | freq |
|---|---|
| 0 | 63 |
| 1 | 131 |
| 2 | 62 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 71.0ms | 512× | 0 | valid |
Compiled 173 to 34 computations (80.3% saved)
ival-div: 41.0ms (72.7% of total)ival-mult: 12.0ms (21.3% of total)ival-sub: 2.0ms (3.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 1 | 55 | 43 |
| 2 | 350 | 26 |
| 3 | 2862 | 26 |
| 4 | 7766 | 26 |
| 0 | 10 | 25 |
| 0 | 17 | 21 |
| 1 | 45 | 19 |
| 2 | 187 | 13 |
| 3 | 1060 | 13 |
| 4 | 3649 | 11 |
| 5 | 5388 | 11 |
| 6 | 7401 | 11 |
| 0 | 8022 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i) |
(abs i)
Compiled 25 to 10 computations (60% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 26.3% | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
Compiled 25 to 10 computations (60% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 2 | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 2 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) | |
| cost-diff | 4 | (*.f64 (*.f64 i i) (*.f64 i i)) | |
| cost-diff | 4 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 72 |
| 0 | 17 | 62 |
| 1 | 45 | 56 |
| 2 | 187 | 42 |
| 3 | 1060 | 42 |
| 4 | 3649 | 40 |
| 5 | 5388 | 40 |
| 6 | 7401 | 40 |
| 0 | 8022 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(*.f64 i i) |
i |
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i) |
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(pow.f64 i #s(literal 4 binary64)) |
(*.f64 i i) |
i |
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) | |
| accuracy | 0.109375 | (*.f64 (*.f64 i i) (*.f64 i i)) | |
| accuracy | 15.021063347142775 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) | |
| accuracy | 43.55698652244909 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 21.0ms | 256× | 0 | valid |
Compiled 74 to 12 computations (83.8% saved)
ival-mult: 6.0ms (54.9% of total)ival-div: 3.0ms (27.5% of total)ival-sub: 1.0ms (9.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
| Outputs |
|---|
(* 1/4 (pow i 2)) |
(pow i 4) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(* 4 (pow i 2)) |
-1 |
(- (* 4 (pow i 2)) 1) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | i | @ | inf | ((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1)) |
| 1.0ms | i | @ | 0 | ((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1)) |
| 1.0ms | i | @ | -inf | ((/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* i i) (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* 2 i) (* 2 i)) (- (* (* 2 i) (* 2 i)) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 123 |
| 1 | 94 | 123 |
| 2 | 218 | 122 |
| 3 | 510 | 118 |
| 4 | 1090 | 118 |
| 5 | 2132 | 118 |
| 6 | 4138 | 118 |
| 7 | 6263 | 118 |
| 0 | 8099 | 113 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/4 (pow i 2)) |
(pow i 4) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(* 4 (pow i 2)) |
-1 |
(- (* 4 (pow i 2)) 1) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
| Outputs |
|---|
(* 1/4 (pow i 2)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) i) i) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (fma.f64 i i (fma.f64 (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (neg.f64 i) i)) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 63 |
| 0 | 17 | 47 |
| 1 | 75 | 41 |
| 2 | 653 | 29 |
| 0 | 8772 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) i)) i) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 i) i)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) i)) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 i i)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 i #s(literal -2 binary64))) |
(*.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) i) i))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(*.f64 (*.f64 i #s(literal -1/2 binary64)) (*.f64 i #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 i (*.f64 #s(literal -4 binary64) (*.f64 i i)))) |
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 i (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 (neg.f64 i) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i)))) |
(*.f64 (neg.f64 i) (*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
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(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 i i))) |
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -1 binary64)) |
Compiled 16 920 to 1 794 computations (89.4% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 695 | 7 | 702 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 696 | 7 | 703 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.5% | (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) |
| 76.3% | (/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) | |
| 76.4% | (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) | |
| ▶ | 49.9% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
| ▶ | 50.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
| ▶ | 50.5% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ▶ | 50.2% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
Compiled 334 to 178 computations (46.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 i i) | |
| cost-diff | 0 | (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) | |
| cost-diff | 0 | (fma.f64 i i #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) | |
| cost-diff | 0 | (*.f64 i i) | |
| cost-diff | 0 | (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) | |
| cost-diff | 0 | (*.f64 i i) | |
| cost-diff | 0 | (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) | |
| cost-diff | 5 | (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 224 |
| 0 | 45 | 208 |
| 1 | 95 | 198 |
| 2 | 305 | 174 |
| 3 | 1342 | 174 |
| 4 | 4165 | 164 |
| 5 | 6931 | 164 |
| 0 | 8153 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
#s(literal 1/4 binary64) |
(*.f64 i i) |
i |
(fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(literal -1/4 binary64) |
(*.f64 i i) |
i |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)) |
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) |
(fma.f64 i i #s(literal 1/4 binary64)) |
i |
#s(literal 1/4 binary64) |
(neg.f64 i) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
#s(literal 1/64 binary64) |
(*.f64 i i) |
i |
#s(literal 1/16 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) i) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) #s(literal 1/4 binary64)) i) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(*.f64 (*.f64 i #s(literal 1/4 binary64)) i) |
#s(literal 1/4 binary64) |
(*.f64 i i) |
i |
(fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(literal -1/4 binary64) |
(*.f64 i i) |
i |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))) |
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)) |
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)) |
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) |
(fma.f64 i i #s(literal 1/4 binary64)) |
i |
#s(literal 1/4 binary64) |
(neg.f64 i) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
#s(literal 1/64 binary64) |
(*.f64 i i) |
i |
#s(literal 1/16 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) | |
| accuracy | 0.0 | (*.f64 i i) | |
| accuracy | 0.33259587568037463 | (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) | |
| accuracy | 32.06967780974029 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) | |
| accuracy | 0.0 | (neg.f64 i) | |
| accuracy | 0.02734375 | (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)) | |
| accuracy | 0.03515625 | (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) | |
| accuracy | 31.617664462802566 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) | |
| accuracy | 0.0 | (*.f64 i i) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) | |
| accuracy | 31.70875327574276 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) | |
| accuracy | 31.848817171906077 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) | |
| accuracy | 0.0 | (*.f64 i i) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) | |
| accuracy | 0.0234375 | (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) | |
| accuracy | 14.43164659729873 | (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) |
| 214.0ms | 256× | 0 | valid |
Compiled 208 to 29 computations (86.1% saved)
ival-mult: 184.0ms (92.7% of total)ival-div: 7.0ms (3.5% of total)ival-add: 5.0ms (2.5% of total)ival-sub: 1.0ms (0.5% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(*.f64 i i) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)) |
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) |
(fma.f64 i i #s(literal 1/4 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(neg.f64 i) |
| Outputs |
|---|
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(* (pow i 2) (- (* -1/2 i) 1/4)) |
(* (pow i 2) (- (* i (- (* -1 i) 1/2)) 1/4)) |
(* (pow i 2) (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)) |
(* 1/4 (pow i 2)) |
(pow i 2) |
(* 1/4 i) |
(* i (+ 1/4 (pow i 2))) |
1/4 |
(+ 1/4 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(* -1 i) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* 1/8 i) |
(* i (+ 1/8 (* 1/16 (/ 1 i)))) |
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i))))) |
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3))))))) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(pow i 3) |
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
(* -1 (* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8))) |
(* -1 (* i (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | i | @ | inf | ((/ (/ (* 1/4 (* i i)) (+ (* 2 i) -1)) (+ (* 2 i) 1)) (/ (* 1/4 (* i i)) (+ (* 2 i) -1)) (* 1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (neg i)) |
| 2.0ms | i | @ | 0 | ((/ (/ (* 1/4 (* i i)) (+ (* 2 i) -1)) (+ (* 2 i) 1)) (/ (* 1/4 (* i i)) (+ (* 2 i) -1)) (* 1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (neg i)) |
| 2.0ms | i | @ | -inf | ((/ (/ (* 1/4 (* i i)) (+ (* 2 i) -1)) (+ (* 2 i) 1)) (/ (* 1/4 (* i i)) (+ (* 2 i) -1)) (* 1/4 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* -1/4 (* i i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (+ (* i i) 1/4) i) (neg i)) (* (+ (* i i) 1/4) i) (+ (* i i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (neg i)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 278 |
| 1 | 268 | 278 |
| 2 | 657 | 265 |
| 3 | 1850 | 253 |
| 4 | 7142 | 253 |
| 0 | 8161 | 233 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(* (pow i 2) (- (* -1/2 i) 1/4)) |
(* (pow i 2) (- (* i (- (* -1 i) 1/2)) 1/4)) |
(* (pow i 2) (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)) |
(* 1/4 (pow i 2)) |
(pow i 2) |
(* 1/4 i) |
(* i (+ 1/4 (pow i 2))) |
1/4 |
(+ 1/4 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(* -1 i) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* 1/8 i) |
(* i (+ 1/8 (* 1/16 (/ 1 i)))) |
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i))))) |
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3))))))) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(pow i 3) |
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
(* -1 (* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8))) |
(* -1 (* i (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8))) |
| Outputs |
|---|
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)) |
(* (pow i 2) (- (* -1/2 i) 1/4)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/4 binary64)) i) i) |
(* (pow i 2) (- (* i (- (* -1 i) 1/2)) 1/4)) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) i) i #s(literal -1/4 binary64)) i) i) |
(* (pow i 2) (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) i #s(literal -1/2 binary64)) i #s(literal -1/4 binary64)) i) i) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(pow i 2) |
(*.f64 i i) |
(* 1/4 i) |
(*.f64 #s(literal 1/4 binary64) i) |
(* i (+ 1/4 (pow i 2))) |
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (pow i 2)) |
(fma.f64 i i #s(literal 1/4 binary64)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 i i) #s(literal 1/64 binary64)) i) i) |
(* -1 i) |
(neg.f64 i) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(* 1/8 i) |
(*.f64 #s(literal 1/8 binary64) i) |
(* i (+ 1/8 (* 1/16 (/ 1 i)))) |
(fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64)) |
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i))))) |
(fma.f64 #s(literal 1/8 binary64) i (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64))) |
(* i (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1/64 binary64) i)) (fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64))) |
(* -1 (pow i 4)) |
(neg.f64 (pow.f64 i #s(literal 4 binary64))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) |
(pow i 3) |
(pow.f64 i #s(literal 3 binary64)) |
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
(fma.f64 #s(literal 1/4 binary64) i (pow.f64 i #s(literal 3 binary64))) |
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
(fma.f64 i i #s(literal 1/4 binary64)) |
(* -1 (* i (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8))) |
(fma.f64 #s(literal 1/8 binary64) i (+.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 1/16 binary64))) |
(* -1 (* i (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8))) |
(fma.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1/64 binary64) i)) (fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 197 |
| 0 | 45 | 173 |
| 1 | 188 | 163 |
| 2 | 1521 | 146 |
| 0 | 8638 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(*.f64 i i) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)) |
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) |
(fma.f64 i i #s(literal 1/4 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(neg.f64 i) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 i #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (pow.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 i #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 i (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 i i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (fma.f64 #s(literal -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal -2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 3 binary64))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) i)))) |
(*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64))))) |
(*.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i))))) |
(*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))))))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -2 binary64)))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 i i) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) |
(*.f64 (*.f64 i i) (/.f64 (*.f64 (/.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(*.f64 (*.f64 i i) (/.f64 (*.f64 i i) (fma.f64 #s(literal -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))))) |
(*.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))))) |
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 i i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(pow.f64 (*.f64 (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (*.f64 #s(literal -4 binary64) (*.f64 i i))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (*.f64 i #s(literal -2 binary64))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 i i))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)))) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) |
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(fma.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal -2 binary64)) #s(literal 1/16 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)))) #s(literal 1/16 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 1/16 binary64)) |
(-.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)))) |
(-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64)))) |
(+.f64 (/.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))) (neg.f64 (/.f64 #s(literal 1/256 binary64) (fma.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64))))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(*.f64 (pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 1/64 binary64) i)) |
(*.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (/.f64 #s(literal 1 binary64) (neg.f64 i))) |
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/64 binary64)) |
(*.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (*.f64 i i))) |
(*.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64)))) |
(pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i))) (neg.f64 (neg.f64 i))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) i)) (neg.f64 i)) |
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i) |
(/.f64 #s(literal -1/64 binary64) (*.f64 (neg.f64 i) i)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 i i) #s(literal 64 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)))) |
(neg.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 i #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 0 binary64)))) |
(*.f64 (*.f64 (neg.f64 i) i) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) i) |
(*.f64 i #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 i) (neg.f64 i))) (-.f64 #s(literal 0 binary64) (neg.f64 i))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 i) (neg.f64 i)) (*.f64 #s(literal 0 binary64) (neg.f64 i))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) (neg.f64 (fma.f64 i i #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (fma.f64 i i #s(literal 0 binary64))) |
(/.f64 (*.f64 (neg.f64 i) i) i) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal 0 binary64)) (neg.f64 (pow.f64 i #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 (neg.f64 i) i))) |
(/.f64 (*.f64 i i) (neg.f64 i)) |
(neg.f64 i) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 i i #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) i) i) |
(-.f64 #s(literal 0 binary64) i) |
(+.f64 #s(literal 0 binary64) (neg.f64 i)) |
Compiled 22 128 to 2 104 computations (90.5% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 688 | 3 | 691 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 689 | 9 | 698 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.3% | (/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
| ▶ | 75.8% | (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) |
| ▶ | 76.4% | (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
| ✓ | 49.9% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
| ▶ | 50.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) |
| ▶ | 50.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
| ✓ | 50.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
| ✓ | 50.5% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ✓ | 50.2% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
Compiled 352 to 186 computations (47.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) i) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) i) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) | |
| cost-diff | 2 | (/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (*.f64 i i) | |
| cost-diff | 0 | (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) | |
| cost-diff | 3 | (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 i i) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) | |
| cost-diff | 2 | (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) | |
| cost-diff | 0 | (*.f64 (neg.f64 i) i) | |
| cost-diff | 0 | (fma.f64 i i #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) | |
| cost-diff | 0 | (*.f64 i i) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) | |
| cost-diff | 2 | (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 247 |
| 0 | 63 | 231 |
| 1 | 150 | 225 |
| 2 | 498 | 212 |
| 3 | 2185 | 212 |
| 4 | 4430 | 204 |
| 5 | 7771 | 204 |
| 0 | 8317 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
(/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
i |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 i i) |
#s(literal -1 binary64) |
(*.f64 #s(literal 1/4 binary64) i) |
#s(literal 1/4 binary64) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)) |
(fma.f64 i i #s(literal 1/4 binary64)) |
i |
#s(literal 1/4 binary64) |
(*.f64 (neg.f64 i) i) |
(neg.f64 i) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) |
(*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)) |
(fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) |
(*.f64 i i) |
i |
(*.f64 i #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(neg.f64 i) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(literal -1/4 binary64) |
(*.f64 i i) |
i |
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) |
(fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) i) |
#s(literal 1/2 binary64) |
i |
(*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
(/.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 i i) |
#s(literal -1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
(/.f64 (*.f64 i i) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) |
(/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
(/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
i |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 i i) |
#s(literal -1 binary64) |
(*.f64 #s(literal 1/4 binary64) i) |
#s(literal 1/4 binary64) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))) |
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)) |
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)) |
(fma.f64 i i #s(literal 1/4 binary64)) |
i |
#s(literal 1/4 binary64) |
(*.f64 (neg.f64 i) i) |
(neg.f64 i) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i))) |
(*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)) |
(*.f64 (fma.f64 (neg.f64 i) i #s(literal -1/4 binary64)) (*.f64 i i)) |
(fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) |
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) |
(*.f64 i i) |
i |
(*.f64 i #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) i) |
#s(literal 1/4 binary64) |
(neg.f64 i) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) #s(literal -1/4 binary64)) i) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(literal -1/4 binary64) |
(*.f64 i i) |
i |
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) |
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) |
(fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(/.f64 (*.f64 i i) (fma.f64 #s(literal 16 binary64) (*.f64 i i) #s(literal -4 binary64))) |
(*.f64 #s(literal 1/2 binary64) i) |
#s(literal 1/2 binary64) |
i |
(*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 i i) #s(literal -2 binary64)) i) |
(/.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(*.f64 i i) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) i) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) | |
| accuracy | 0.078125 | (/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) | |
| accuracy | 14.452320373736391 | (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) | |
| accuracy | 0.0 | (*.f64 i i) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) | |
| accuracy | 15.021063347142775 | (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (neg.f64 i) | |
| accuracy | 0.02734375 | (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) | |
| accuracy | 0.02734375 | (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)) | |
| accuracy | 31.617664462802566 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) | |
| accuracy | 0.0 | (*.f64 (neg.f64 i) i) | |
| accuracy | 0.0 | (neg.f64 i) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)) | |
| accuracy | 31.617664462802566 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/4 binary64) i) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) | |
| accuracy | 0.125 | (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) | |
| accuracy | 14.42763267549294 | (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
| 95.0ms | 256× | 0 | valid |
Compiled 243 to 41 computations (83.1% saved)
ival-mult: 35.0ms (66.6% of total)ival-div: 9.0ms (17.1% of total)ival-add: 6.0ms (11.4% of total)ival-sub: 1.0ms (1.9% of total)exact: 1.0ms (1.9% of total)ival-neg: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
(/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(*.f64 i i) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)) |
(fma.f64 i i #s(literal 1/4 binary64)) |
(*.f64 (neg.f64 i) i) |
(fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) |
(*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)) |
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) i) |
(/.f64 #s(literal 2 binary64) i) |
(*.f64 #s(literal 1/4 binary64) i) |
(neg.f64 i) |
| Outputs |
|---|
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(* -1 i) |
(* i (- (* -4 (pow i 2)) 1)) |
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) |
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1)) |
-1 |
(- (* 4 (pow i 2)) 1) |
(pow i 2) |
1/4 |
(+ 1/4 (pow i 2)) |
(* -1 (pow i 2)) |
(* 1/4 i) |
(* i (+ 1/4 (pow i 2))) |
1 |
(+ 1 (* -4 (pow i 2))) |
(/ -2 i) |
(/ (- (* 8 (pow i 2)) 2) i) |
(* 1/2 i) |
(/ 2 i) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(/ 1/4 i) |
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i) |
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i) |
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
(pow i 3) |
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
(* -4 (pow i 2)) |
(* (pow i 2) (- (/ 1 (pow i 2)) 4)) |
(* 8 i) |
(* i (- 8 (* 2 (/ 1 (pow i 2))))) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i)) |
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i)) |
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | i | @ | 0 | ((* (/ i (+ (* 4 (* i i)) -1)) (* 1/4 i)) (/ i (+ (* 4 (* i i)) -1)) (+ (* 4 (* i i)) -1) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* i i) 1/4) (* (neg i) i)) (+ (* i i) 1/4) (* (neg i) i) (+ (* (* i i) i) (* i 1/4)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (* i i) i) (* i 1/4)) (neg i)) (* (+ (* i -2) 1) (+ (* 2 i) 1)) (/ (* -1/4 (* i i)) (* (+ (* i -2) 1) (+ (* 2 i) 1))) (* -1/4 (* i i)) (/ (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1))) (* (/ 2 i) (+ (* 4 (* i i)) -1)) (* 1/2 i) (/ 2 i) (* 1/4 i) (neg i)) |
| 3.0ms | i | @ | inf | ((* (/ i (+ (* 4 (* i i)) -1)) (* 1/4 i)) (/ i (+ (* 4 (* i i)) -1)) (+ (* 4 (* i i)) -1) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* i i) 1/4) (* (neg i) i)) (+ (* i i) 1/4) (* (neg i) i) (+ (* (* i i) i) (* i 1/4)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (* i i) i) (* i 1/4)) (neg i)) (* (+ (* i -2) 1) (+ (* 2 i) 1)) (/ (* -1/4 (* i i)) (* (+ (* i -2) 1) (+ (* 2 i) 1))) (* -1/4 (* i i)) (/ (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1))) (* (/ 2 i) (+ (* 4 (* i i)) -1)) (* 1/2 i) (/ 2 i) (* 1/4 i) (neg i)) |
| 3.0ms | i | @ | -inf | ((* (/ i (+ (* 4 (* i i)) -1)) (* 1/4 i)) (/ i (+ (* 4 (* i i)) -1)) (+ (* 4 (* i i)) -1) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* i i) 1/4) (* (neg i) i)) (+ (* i i) 1/4) (* (neg i) i) (+ (* (* i i) i) (* i 1/4)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (+ (* (* i i) i) (* i 1/4)) (neg i)) (* (+ (* i -2) 1) (+ (* 2 i) 1)) (/ (* -1/4 (* i i)) (* (+ (* i -2) 1) (+ (* 2 i) 1))) (* -1/4 (* i i)) (/ (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1))) (* (/ 2 i) (+ (* 4 (* i i)) -1)) (* 1/2 i) (/ 2 i) (* 1/4 i) (neg i)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 361 |
| 1 | 278 | 361 |
| 2 | 706 | 346 |
| 3 | 2039 | 339 |
| 4 | 5694 | 339 |
| 0 | 8196 | 322 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(* -1 i) |
(* i (- (* -4 (pow i 2)) 1)) |
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) |
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1)) |
-1 |
(- (* 4 (pow i 2)) 1) |
(pow i 2) |
1/4 |
(+ 1/4 (pow i 2)) |
(* -1 (pow i 2)) |
(* 1/4 i) |
(* i (+ 1/4 (pow i 2))) |
1 |
(+ 1 (* -4 (pow i 2))) |
(/ -2 i) |
(/ (- (* 8 (pow i 2)) 2) i) |
(* 1/2 i) |
(/ 2 i) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(/ 1/4 i) |
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i) |
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i) |
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
(pow i 3) |
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
(* -4 (pow i 2)) |
(* (pow i 2) (- (/ 1 (pow i 2)) 4)) |
(* 8 i) |
(* i (- 8 (* 2 (/ 1 (pow i 2))))) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i)) |
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i)) |
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8))) |
| Outputs |
|---|
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)) |
(* -1 i) |
(neg.f64 i) |
(* i (- (* -4 (pow i 2)) 1)) |
(fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64) (neg.f64 i)) |
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) |
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 #s(literal -16 binary64) (*.f64 i i) #s(literal -4 binary64)) (neg.f64 i)) |
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1)) |
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -64 binary64) (*.f64 i i) #s(literal -16 binary64)) (*.f64 i i) #s(literal -4 binary64)) (neg.f64 i)) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(pow i 2) |
(*.f64 i i) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (pow i 2)) |
(fma.f64 i i #s(literal 1/4 binary64)) |
(* -1 (pow i 2)) |
(*.f64 (neg.f64 i) i) |
(* 1/4 i) |
(*.f64 #s(literal 1/4 binary64) i) |
(* i (+ 1/4 (pow i 2))) |
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -4 (pow i 2))) |
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) |
(/ -2 i) |
(/.f64 #s(literal -2 binary64) i) |
(/ (- (* 8 (pow i 2)) 2) i) |
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) |
(* 1/2 i) |
(*.f64 #s(literal 1/2 binary64) i) |
(/ 2 i) |
(/.f64 #s(literal 2 binary64) i) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(/ 1/4 i) |
(/.f64 #s(literal 1/4 binary64) i) |
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i) |
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 i i)) #s(literal -1/4 binary64)) i) |
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/16 binary64) (*.f64 i i))) i) |
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal -1/16 binary64) (*.f64 i i)))) i) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(* -1 (pow i 4)) |
(neg.f64 (pow.f64 i #s(literal 4 binary64))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) |
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
(fma.f64 i i #s(literal 1/4 binary64)) |
(pow i 3) |
(pow.f64 i #s(literal 3 binary64)) |
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) |
(* -4 (pow i 2)) |
(*.f64 #s(literal -4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (/ 1 (pow i 2)) 4)) |
(fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) |
(* 8 i) |
(*.f64 #s(literal 8 binary64) i) |
(* i (- 8 (* 2 (/ 1 (pow i 2))))) |
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i)) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) i)) |
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i)) |
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i i)) #s(literal 1/64 binary64)) (pow.f64 i #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 i #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) i)) |
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8))) |
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 201 |
| 0 | 63 | 180 |
| 1 | 270 | 175 |
| 2 | 2215 | 149 |
| 0 | 8565 | 149 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
(/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
(*.f64 i i) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)) |
(fma.f64 i i #s(literal 1/4 binary64)) |
(*.f64 (neg.f64 i) i) |
(fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) |
(*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i)) |
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) i) |
(/.f64 #s(literal 2 binary64) i) |
(*.f64 #s(literal 1/4 binary64) i) |
(neg.f64 i) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) (pow.f64 i #s(literal -4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 i i) i) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 i i) i) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (pow.f64 i #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) (*.f64 (*.f64 i i) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) i) i) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (fma.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) i) |
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(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) i)) (/.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) i))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) i)) (/.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) i))) |
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) (*.f64 i i)) (/.f64 #s(literal 2 binary64) i)) |
(+.f64 (/.f64 #s(literal -2 binary64) i) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) (*.f64 i i))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 4 binary64)) (*.f64 i i)) (/.f64 #s(literal -2 binary64) i)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) i) |
(*.f64 (neg.f64 i) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)) |
(*.f64 i #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 i)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 i #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))) |
(/.f64 (neg.f64 i) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) i)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) i)) |
(/.f64 i #s(literal 2 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 i #s(literal -2 binary64))) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 i) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal 2 binary64) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) i)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 i)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 i)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) i))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 i))) |
(/.f64 #s(literal 2 binary64) i) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) i)) |
(neg.f64 (/.f64 #s(literal -2 binary64) i)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) i)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) i))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) i)) |
(*.f64 #s(literal -1/4 binary64) (neg.f64 i)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) i)) |
(*.f64 #s(literal 1/4 binary64) i) |
(*.f64 i #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) i)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) i)) |
(/.f64 #s(literal -1/4 binary64) (neg.f64 (pow.f64 i #s(literal -1 binary64)))) |
(/.f64 (neg.f64 i) #s(literal -4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) i)) |
(/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) i))) |
(/.f64 i #s(literal 4 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i))))) |
(*.f64 (*.f64 (neg.f64 i) i) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) i))) |
(*.f64 #s(literal -1 binary64) i) |
(*.f64 i #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 i) (neg.f64 i)) (*.f64 #s(literal 0 binary64) (neg.f64 i))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 i #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 i) i)) (neg.f64 (+.f64 #s(literal 0 binary64) i))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 i #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i)))) |
(/.f64 (*.f64 (neg.f64 i) i) (+.f64 #s(literal 0 binary64) i)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i))) (-.f64 #s(literal 0 binary64) (pow.f64 i #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) i) (*.f64 (neg.f64 i) i))) |
(neg.f64 i) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i)))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 i i (*.f64 #s(literal 0 binary64) i))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) i)) (/.f64 (*.f64 i i) (+.f64 #s(literal 0 binary64) i))) |
(-.f64 #s(literal 0 binary64) i) |
(+.f64 #s(literal 0 binary64) (neg.f64 i)) |
Compiled 33 405 to 3 474 computations (89.6% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 142 | 2 | 1 144 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 144 | 9 | 1 153 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) |
| ✓ | 75.8% | (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) |
| ▶ | 76.4% | (*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
| ✓ | 49.9% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
| ✓ | 50.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) |
| ✓ | 50.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
| ✓ | 50.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
| ✓ | 50.5% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ✓ | 50.2% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
Compiled 247 to 128 computations (48.2% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) | |
| cost-diff | 0 | #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) i) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) | |
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) i) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 92 |
| 0 | 34 | 90 |
| 1 | 61 | 90 |
| 2 | 111 | 88 |
| 3 | 168 | 88 |
| 4 | 225 | 82 |
| 5 | 336 | 82 |
| 6 | 583 | 82 |
| 7 | 1726 | 82 |
| 8 | 3393 | 82 |
| 9 | 4450 | 82 |
| 10 | 6356 | 82 |
| 11 | 7232 | 82 |
| 12 | 7502 | 82 |
| 13 | 7815 | 82 |
| 0 | 8512 | 82 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
(/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) |
i |
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) i) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
(*.f64 #s(literal 1/4 binary64) i) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) |
(*.f64 #s(literal 1/2 binary64) i) |
#s(literal 1/2 binary64) |
i |
#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) |
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) |
#s(literal 8 binary64) |
(/.f64 #s(literal -2 binary64) i) |
#s(literal -2 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i i)) |
(/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) |
(/.f64 i (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
i |
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) |
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) i) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
(*.f64 #s(literal 1/4 binary64) i) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) |
(*.f64 #s(literal 1/2 binary64) i) |
#s(literal 1/2 binary64) |
i |
#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) |
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) |
#s(literal 8 binary64) |
(/.f64 #s(literal -2 binary64) i) |
#s(literal -2 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) i) | |
| accuracy | 0.0 | #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) | |
| accuracy | 0.01857377930532605 | (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) | |
| accuracy | 0.078125 | (/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) i) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/4 binary64) i) | |
| accuracy | 0.125 | (*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) | |
| accuracy | 14.42763267549294 | (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) |
| 77.0ms | 256× | 0 | valid |
Compiled 84 to 26 computations (69% saved)
ival-mult: 56.0ms (83.4% of total)ival-div: 6.0ms (8.9% of total)ival-add: 3.0ms (4.5% of total)exact: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
(/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) i) |
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) |
(*.f64 #s(literal 1/2 binary64) i) |
#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) |
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) |
(*.f64 #s(literal 1/4 binary64) i) |
| Outputs |
|---|
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(* -1 i) |
(* i (- (* -4 (pow i 2)) 1)) |
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) |
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1)) |
-1 |
(- (* 4 (pow i 2)) 1) |
(* 4 i) |
(* 1/2 i) |
(/ -2 i) |
(/ (- (* 8 (pow i 2)) 2) i) |
(* 1/4 i) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(/ 1/4 i) |
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i) |
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i) |
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* 8 i) |
(* i (- 8 (* 2 (/ 1 (pow i 2))))) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i)) |
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i)) |
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | i | @ | -inf | ((* (/ i (+ (* (* 4 i) i) -1)) (* 1/4 i)) (/ i (+ (* (* 4 i) i) -1)) (+ (* (* 4 i) i) -1) (* 4 i) (/ (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1))) (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1)) (+ (* 8 i) (/ -2 i)) (* 1/4 i)) |
| 1.0ms | i | @ | inf | ((* (/ i (+ (* (* 4 i) i) -1)) (* 1/4 i)) (/ i (+ (* (* 4 i) i) -1)) (+ (* (* 4 i) i) -1) (* 4 i) (/ (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1))) (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1)) (+ (* 8 i) (/ -2 i)) (* 1/4 i)) |
| 1.0ms | i | @ | 0 | ((* (/ i (+ (* (* 4 i) i) -1)) (* 1/4 i)) (/ i (+ (* (* 4 i) i) -1)) (+ (* (* 4 i) i) -1) (* 4 i) (/ (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1))) (* 1/2 i) (* (/ 2 i) (+ (* 4 (* i i)) -1)) (+ (* 8 i) (/ -2 i)) (* 1/4 i)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 290 |
| 1 | 227 | 290 |
| 2 | 546 | 277 |
| 3 | 1372 | 271 |
| 4 | 3249 | 271 |
| 5 | 6650 | 271 |
| 0 | 8068 | 260 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(* -1 i) |
(* i (- (* -4 (pow i 2)) 1)) |
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) |
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1)) |
-1 |
(- (* 4 (pow i 2)) 1) |
(* 4 i) |
(* 1/2 i) |
(/ -2 i) |
(/ (- (* 8 (pow i 2)) 2) i) |
(* 1/4 i) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(/ 1/4 i) |
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i) |
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i) |
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* 8 i) |
(* i (- 8 (* 2 (/ 1 (pow i 2))))) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i)) |
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i)) |
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8))) |
| Outputs |
|---|
(* -1/4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 i i)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -16 binary64) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (*.f64 i i)) |
(* -1 i) |
(neg.f64 i) |
(* i (- (* -4 (pow i 2)) 1)) |
(fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64) (neg.f64 i)) |
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) |
(fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -16 binary64) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64) (neg.f64 i))) |
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1)) |
(fma.f64 (pow.f64 i #s(literal 5 binary64)) (fma.f64 #s(literal -64 binary64) (*.f64 i i) #s(literal -16 binary64)) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64) (neg.f64 i))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
(* 4 i) |
(*.f64 #s(literal 4 binary64) i) |
(* 1/2 i) |
(*.f64 #s(literal 1/2 binary64) i) |
(/ -2 i) |
(/.f64 #s(literal -2 binary64) i) |
(/ (- (* 8 (pow i 2)) 2) i) |
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) |
(* 1/4 i) |
(*.f64 #s(literal 1/4 binary64) i) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64)))) |
(/ 1/4 i) |
(/.f64 #s(literal 1/4 binary64) i) |
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i) |
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 i i)) #s(literal -1/4 binary64)) i) |
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) i)) |
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i) |
(/.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 i #s(literal 6 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) i) i) #s(literal 1/4 binary64))) i) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
(* 8 i) |
(*.f64 #s(literal 8 binary64) i) |
(* i (- 8 (* 2 (/ 1 (pow i 2))))) |
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64)) (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) i)) |
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i i)) #s(literal -1/64 binary64)) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 i i)))) i) |
(* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8))) |
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 81 |
| 0 | 34 | 79 |
| 1 | 126 | 79 |
| 2 | 781 | 77 |
| 3 | 7594 | 77 |
| 0 | 8233 | 75 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
(/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) i) |
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) |
(*.f64 #s(literal 1/2 binary64) i) |
#s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i))) |
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) |
(*.f64 #s(literal 1/4 binary64) i) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)))) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (neg.f64 i)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) #s(literal 1 binary64)) (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) #s(literal -1 binary64)) (/.f64 i (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 i i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 i i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 i (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 i (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) i (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i))) |
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) i))) |
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/4 binary64) i))) |
(*.f64 (/.f64 i (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) i) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) (/.f64 i (pow.f64 i #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))) i) |
(*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) i) (pow.f64 i #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) |
(*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) i) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 i) (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 i) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) i))) |
(*.f64 (*.f64 i i) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) i) (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) i)) |
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal -1 binary64)))) |
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
(*.f64 i (*.f64 #s(literal 1/4 binary64) (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))) |
(pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) i) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)))) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 4096 binary64) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64))) (pow.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) i)) |
(/.f64 (*.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 i) #s(literal 1/4 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) i)) |
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(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64)) (*.f64 #s(literal 8 binary64) i)) |
(fma.f64 #s(literal -2 binary64) (pow.f64 i #s(literal -1 binary64)) (*.f64 #s(literal 8 binary64) i)) |
(fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 #s(literal 8 binary64) i) i) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i)))) |
(fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)) |
(fma.f64 (*.f64 i i) (/.f64 #s(literal 64 binary64) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) i) #s(literal -1 binary64) (*.f64 #s(literal 8 binary64) i)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 1 binary64)) (*.f64 #s(literal 8 binary64) i)) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) i) (*.f64 #s(literal 8 binary64) i)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 8 binary64) i)) |
(fma.f64 i (/.f64 (*.f64 #s(literal 64 binary64) i) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i)))) |
(fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) i) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -2 binary64) i) (*.f64 #s(literal 8 binary64) i))) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 i i)) (-.f64 (/.f64 #s(literal -2 binary64) i) (*.f64 #s(literal 8 binary64) i)))) |
(-.f64 (*.f64 (*.f64 #s(literal 64 binary64) i) (/.f64 i (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)))) (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i))) |
(-.f64 (*.f64 #s(literal 8 binary64) i) (/.f64 #s(literal 2 binary64) i)) |
(+.f64 (*.f64 (*.f64 #s(literal 64 binary64) i) (/.f64 i (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)))) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal 2 binary64) i)) i)))) |
(+.f64 (*.f64 #s(literal 8 binary64) i) (/.f64 #s(literal -2 binary64) i)) |
(+.f64 (/.f64 #s(literal -2 binary64) i) (*.f64 #s(literal 8 binary64) i)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) i)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) i) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/4 binary64) i) |
(*.f64 i #s(literal 1/4 binary64)) |
Compiled 10 952 to 1 351 computations (87.7% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 416 | 1 | 417 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 1 | 6 | 7 |
| Total | 418 | 8 | 426 |
| Status | Accuracy | Program |
|---|---|---|
| 75.8% | (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) | |
| ✓ | 99.9% | (/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) |
| ✓ | 49.9% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
| ✓ | 50.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) |
| ✓ | 50.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
| ✓ | 50.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
| ✓ | 50.5% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ✓ | 50.2% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
Compiled 557 to 195 computations (65% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) i) (*.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)))) |
(/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) |
2 calls:
| 4.0ms | i |
| 4.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | i |
| 99.9% | 1 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
Compiled 26 to 11 computations (57.7% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
2 calls:
| 27.0ms | i |
| 3.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | i |
| 76.4% | 1 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
Compiled 26 to 11 computations (57.7% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
| Outputs |
|---|
(*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
1 calls:
| 3.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | i |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
| Outputs |
|---|
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
1 calls:
| 3.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | i |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | i |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | i |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | i |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | i |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
1 calls:
| 30.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | i |
Compiled 1 to 1 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
2 calls:
| 1.0ms | i |
| 1.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 1 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| 50.2% | 1 | i |
Compiled 26 to 11 computations (57.7% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 50838.33510870118 | 3163788042734.112 |
| 1.0ms | 16× | 0 | valid |
Compiled 67 to 37 computations (44.8% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 50838.33510870118 | 3163788042734.112 |
Compiled 67 to 37 computations (44.8% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 50838.33510870118 | 3163788042734.112 |
Compiled 67 to 37 computations (44.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.4935194723797893 | 120.46969277125113 |
| 6.0ms | 112× | 0 | valid |
Compiled 518 to 259 computations (50% saved)
ival-mult: 2.0ms (47% of total)ival-sub: 1.0ms (23.5% of total)ival-div: 1.0ms (23.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.4935194723797893 | 120.46969277125113 |
Compiled 504 to 252 computations (50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.4935194723797893 | 120.46969277125113 |
Compiled 462 to 224 computations (51.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.4935194723797893 | 120.46969277125113 |
Compiled 462 to 224 computations (51.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.4935194723797893 | 120.46969277125113 |
Compiled 434 to 210 computations (51.6% saved)
| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 518 |
| 1 | 115 | 490 |
| 2 | 312 | 434 |
| 3 | 1277 | 406 |
| 4 | 2780 | 392 |
| 5 | 5102 | 378 |
| 6 | 7996 | 378 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) |
(if (<=.f64 i #s(literal 100000 binary64)) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
(if (<=.f64 i #s(literal 100000 binary64)) (*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
(if (<=.f64 i #s(literal 100000 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/2 binary64) i) #s(approx (* (/ 2 i) (+ (* 4 (* i i)) -1)) (fma.f64 #s(literal 8 binary64) i (/.f64 #s(literal -2 binary64) i)))) |
(if (<=.f64 i #s(literal 100000 binary64)) (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
(if (<=.f64 i #s(literal 100000 binary64)) (*.f64 (/.f64 i (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
(if (<=.f64 i #s(literal 100000 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 (*.f64 i i) i (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 197 |
| 0 | 45 | 173 |
| 1 | 188 | 163 |
| 2 | 1521 | 146 |
| 0 | 8638 | 139 |
| 0 | 49 | 123 |
| 1 | 94 | 123 |
| 2 | 218 | 122 |
| 3 | 510 | 118 |
| 4 | 1090 | 118 |
| 5 | 2132 | 118 |
| 6 | 4138 | 118 |
| 7 | 6263 | 118 |
| 0 | 8099 | 113 |
| 0 | 116 | 361 |
| 1 | 278 | 361 |
| 2 | 706 | 346 |
| 3 | 2039 | 339 |
| 4 | 5694 | 339 |
| 0 | 8196 | 322 |
| 0 | 39 | 201 |
| 0 | 63 | 180 |
| 1 | 270 | 175 |
| 2 | 2215 | 149 |
| 0 | 8565 | 149 |
| 0 | 10 | 63 |
| 0 | 17 | 47 |
| 1 | 75 | 41 |
| 2 | 653 | 29 |
| 0 | 8772 | 27 |
| 0 | 23 | 81 |
| 0 | 34 | 79 |
| 1 | 126 | 79 |
| 2 | 781 | 77 |
| 3 | 7594 | 77 |
| 0 | 8233 | 75 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 782 to 221 computations (71.7% saved)
(abs i)
Compiled 1 172 to 206 computations (82.4% saved)
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