
Time bar (total: 6.3s)
| 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)
| 1.3s | 8 256× | 0 | valid |
ival-mult: 498.0ms (61.1% of total)ival-div: 240.0ms (29.5% of total)ival-sub: 37.0ms (4.5% of total)ival->: 22.0ms (2.7% of total)exact: 14.0ms (1.7% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 195 | 0 | - | 1 | (4.444192256219531e-80) | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 77 | 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 | 77 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 103 | |
| ↳ | (*.f64 i i) | overflow | 154 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 77 | |
/.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 | 77 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 103 | |
| ↳ | (*.f64 i i) | overflow | 154 | |
| ↳ | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | overflow | 77 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 77 | |
| ↳ | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) | overflow | 77 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 77 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | u/u | 57 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | underflow | 91 | |
| ↳ | (*.f64 i i) | underflow | 114 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | underflow | 57 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | u/n | 34 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | underflow | 91 | |
| ↳ | (*.f64 i i) | underflow | 114 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | o/n | 26 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 103 | |
| ↳ | (*.f64 i i) | overflow | 154 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 194 | 1 |
| - | 0 | 61 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 194 | 0 | 1 |
| - | 0 | 0 | 61 |
| number | freq |
|---|---|
| 0 | 62 |
| 1 | 117 |
| 2 | 77 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 66.0ms | 512× | 0 | valid |
Compiled 173 to 34 computations (80.3% saved)
ival-mult: 13.0ms (57.8% of total)ival-div: 6.0ms (26.7% of total)ival-sub: 2.0ms (8.9% of total)exact: 1.0ms (4.4% of total)ival-true: 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 |
|---|---|---|
| ▶ | 25.6% | (/.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 | 0.00390625 | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) | |
| accuracy | 0.125 | (*.f64 (*.f64 i i) (*.f64 i i)) | |
| accuracy | 18.65815276580633 | (/.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 | 43.42052507121305 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 17.0ms | 256× | 0 | valid |
Compiled 74 to 12 computations (83.8% saved)
ival-mult: 6.0ms (60.1% of total)ival-div: 3.0ms (30% of total)ival-sub: 1.0ms (10% 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)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64)))) |
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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)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 696 | 6 | 702 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 697 | 6 | 703 |
| Status | Accuracy | Program |
|---|---|---|
| 70.6% | (/.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)))) | |
| ▶ | 70.7% | (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
| ▶ | 54.2% | #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))) |
| ▶ | 46.6% | #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))) |
| ▶ | 46.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ▶ | 54.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
Compiled 304 to 156 computations (48.7% 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 | (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 | 32 | 214 |
| 0 | 45 | 194 |
| 1 | 97 | 186 |
| 2 | 305 | 162 |
| 3 | 1351 | 162 |
| 4 | 4041 | 157 |
| 5 | 6646 | 157 |
| 0 | 8397 | 152 |
| 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)) #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 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)) #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))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 #s(literal -1/4 binary64) i) i)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(*.f64 (*.f64 #s(literal -1/4 binary64) 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 | 0.16244125976844204 | (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) | |
| accuracy | 29.31935382721439 | #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 | 0.046875 | (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)) | |
| accuracy | 0.05078125 | (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) | |
| accuracy | 34.1470611281154 | #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 | 34.19361461406653 | #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 | 29.06454391888235 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/4 binary64) i) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) | |
| accuracy | 0.14188253162065376 | (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) | |
| accuracy | 18.034870119856752 | (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
| 42.0ms | 256× | 0 | valid |
Compiled 196 to 30 computations (84.7% saved)
ival-mult: 16.0ms (54.2% of total)ival-div: 6.0ms (20.3% of total)ival-add: 3.0ms (10.2% of total)ival-sub: 2.0ms (6.8% of total)exact: 1.0ms (3.4% of total)ival-neg: 1.0ms (3.4% 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)) #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)) |
(*.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 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)) |
1/16 |
(+ 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 3) |
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
(* (pow i 2) (+ 1 (* 1/4 (/ 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)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | 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) (* 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)) (* 1/4 i) (neg i)) |
| 2.0ms | 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) (* 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)) (* 1/4 i) (neg i)) |
| 2.0ms | 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) (* 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)) (* 1/4 i) (neg i)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 314 |
| 1 | 239 | 314 |
| 2 | 614 | 299 |
| 3 | 1818 | 298 |
| 4 | 6443 | 298 |
| 0 | 8621 | 285 |
| 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 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)) |
1/16 |
(+ 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 3) |
(* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
(* (pow i 2) (+ 1 (* 1/4 (/ 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)) |
| 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 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) |
1/16 |
#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 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 (/ (- (* -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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 196 |
| 0 | 45 | 168 |
| 1 | 186 | 160 |
| 2 | 1344 | 129 |
| 0 | 9078 | 127 |
| 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)) #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)) |
(*.f64 #s(literal 1/4 binary64) i) |
(neg.f64 i) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (/.f64 i (*.f64 #s(literal 4 binary64) i))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (/.f64 i (*.f64 #s(literal 2 binary64) i))) (/.f64 i (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (*.f64 i #s(literal 1/2 binary64))) (/.f64 i (*.f64 (*.f64 #s(literal 2 binary64) i) i))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (*.f64 #s(literal 1/4 binary64) i)) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) (*.f64 i i)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64)))) i) (*.f64 i (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) i))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64))) (/.f64 i (*.f64 (*.f64 #s(literal 2 binary64) i) i))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) i))) i) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) (/.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 2 binary64) i) i))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 i (*.f64 #s(literal 4 binary64) i))) (/.f64 (pow.f64 i #s(literal 3 binary64)) i)) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i))) (/.f64 i (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 i (*.f64 #s(literal 2 binary64) i))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 i #s(literal -1 binary64))) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 i #s(literal 3 binary64))) (*.f64 i (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) i) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 i #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 i #s(literal 1/2 binary64))) (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 i #s(literal 1/2 binary64))) (*.f64 i #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) (/.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 i #s(literal 4 binary64))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 i i)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))) (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.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 -4 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))) (*.f64 i (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))))) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) (/.f64 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 #s(literal 1/4 binary64) i) (/.f64 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 #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 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.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 (pow.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal -1/2 binary64))) |
(*.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 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 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 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) i) (*.f64 #s(literal 4 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 -2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64)) #s(literal -1 binary64)) (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 (/.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 -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 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #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 (*.f64 i i) #s(literal 4 binary64) #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 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -4 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 i i)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) i) i) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 i i) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 #s(literal 2 binary64) i #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (/.f64 (/.f64 i #s(literal -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 -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 #s(literal 2 binary64) i #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)))) |
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(fma.f64 #s(literal -1/64 binary64) (neg.f64 (pow.f64 i #s(literal -2 binary64))) #s(literal 1/16 binary64)) |
(fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1 binary64) #s(literal 1/16 binary64)) |
(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 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 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 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 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 (/.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) (neg.f64 (pow.f64 i #s(literal -2 binary64)))) |
(*.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 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64))) |
(pow.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64)) |
(/.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) (*.f64 (*.f64 i i) #s(literal 64 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 i i) #s(literal -64 binary64))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1/64 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 i (/.f64 i (*.f64 #s(literal 4 binary64) i))) #s(literal 1 binary64)) |
(*.f64 (*.f64 i (*.f64 i #s(literal 1/2 binary64))) (/.f64 i (*.f64 (*.f64 #s(literal 2 binary64) i) i))) |
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 i (*.f64 #s(literal 2 binary64) i))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) i)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) i) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) i) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/4 binary64) i) |
(*.f64 (*.f64 i i) (*.f64 i (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 i #s(literal 1/4 binary64)) |
(/.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 i i))) |
(/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (*.f64 i i) #s(literal 4 binary64))) |
(/.f64 (neg.f64 i) #s(literal -4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) i)) |
(/.f64 i #s(literal 4 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 (neg.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64)))) (neg.f64 (fma.f64 i i #s(literal 0 binary64)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 i i) (*.f64 #s(literal 0 binary64) (neg.f64 i))))) |
(/.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 24 259 to 2 386 computations (90.2% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 773 | 2 | 775 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 775 | 6 | 781 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.7% | (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
| ▶ | 46.5% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i))) |
| ✓ | 54.2% | #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))) |
| ▶ | 46.6% | #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))) |
| ✓ | 46.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ✓ | 54.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
Compiled 171 to 83 computations (51.5% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) i) | |
| cost-diff | 0 | (/.f64 i #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i))) | |
| cost-diff | 2 | (/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)) | |
| 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 105 |
| 0 | 28 | 97 |
| 1 | 68 | 89 |
| 2 | 246 | 77 |
| 3 | 1236 | 77 |
| 4 | 4164 | 73 |
| 5 | 6594 | 73 |
| 0 | 8066 | 71 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i))) |
(/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)) |
(/.f64 i #s(literal -2 binary64)) |
i |
#s(literal -2 binary64) |
(/.f64 #s(literal 2 binary64) i) |
#s(literal 2 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 (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 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i))) |
#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 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(/.f64 i #s(literal -2 binary64)) |
(*.f64 #s(literal -1/2 binary64) i) |
i |
#s(literal -2 binary64) |
(/.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 i #s(literal -2 binary64)) | |
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) i) | |
| accuracy | 0.13671875 | (/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)) | |
| accuracy | 34.19361461406653 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i))) | |
| accuracy | 0.0 | (*.f64 (neg.f64 i) i) | |
| accuracy | 0.0 | (neg.f64 i) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)) | |
| accuracy | 34.1470611281154 | #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))) |
| 44.0ms | 256× | 0 | valid |
Compiled 91 to 21 computations (76.9% saved)
ival-mult: 20.0ms (58.3% of total)ival-div: 7.0ms (20.4% of total)ival-neg: 4.0ms (11.7% of total)ival-sub: 1.0ms (2.9% of total)ival-add: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#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) |
(/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i))) |
(/.f64 i #s(literal -2 binary64)) |
(/.f64 #s(literal 2 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)) |
1/4 |
(+ 1/4 (pow i 2)) |
(* -1 (pow i 2)) |
(* -1/2 i) |
(/ 2 i) |
(* -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 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(pow i 2) |
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | i | @ | -inf | ((/ (/ (* (* 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 -2) (/ 2 i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ i -2) (/ 2 i) (neg i)) |
| 2.0ms | i | @ | inf | ((/ (/ (* (* 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 -2) (/ 2 i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ i -2) (/ 2 i) (neg i)) |
| 1.0ms | i | @ | 0 | ((/ (/ (* (* 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 -2) (/ 2 i)) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ i -2) (/ 2 i) (neg i)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 135 |
| 1 | 121 | 135 |
| 2 | 295 | 133 |
| 3 | 858 | 129 |
| 4 | 2074 | 129 |
| 5 | 3933 | 129 |
| 6 | 6574 | 129 |
| 0 | 8236 | 124 |
| 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)) |
1/4 |
(+ 1/4 (pow i 2)) |
(* -1 (pow i 2)) |
(* -1/2 i) |
(/ 2 i) |
(* -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 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(pow i 2) |
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
| 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 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -4 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) 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) (neg.f64 (fma.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64) i) i #s(literal 1/4 binary64)))) (*.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) |
(* -1/2 i) |
(*.f64 #s(literal -1/2 binary64) i) |
(/ 2 i) |
(/.f64 #s(literal 2 binary64) 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 1/256 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 (pow i 4)) |
(neg.f64 (pow.f64 i #s(literal 4 binary64))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) i) i)) |
(pow i 2) |
(*.f64 i i) |
(* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))) |
(fma.f64 i i #s(literal 1/4 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 100 |
| 0 | 28 | 88 |
| 1 | 131 | 80 |
| 2 | 1009 | 72 |
| 0 | 8849 | 70 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) |
(/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i))) |
(/.f64 i #s(literal -2 binary64)) |
(/.f64 #s(literal 2 binary64) i) |
(neg.f64 i) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 i))) |
(*.f64 (*.f64 i (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) #s(literal -1 binary64))) i) |
(*.f64 (neg.f64 (fma.f64 i i #s(literal 1/4 binary64))) (*.f64 i i)) |
(*.f64 (*.f64 (*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) i) (neg.f64 i)) (pow.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) i) (neg.f64 i)) (pow.f64 (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 i) i) (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (pow.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 i) i) (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (pow.f64 (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 i)) |
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 i i)) |
(*.f64 (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) i) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 i)) |
(*.f64 (*.f64 (neg.f64 i) (fma.f64 i i #s(literal 1/4 binary64))) i) |
(*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (fma.f64 i i #s(literal -1/4 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 i) i))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) i)) |
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i #s(literal 1/4 binary64)) i (pow.f64 i #s(literal 4 binary64)))) |
(*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 i) i))) |
(*.f64 (*.f64 (neg.f64 i) i) (fma.f64 i i #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 i) (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 i) (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i)) |
(*.f64 (fma.f64 i i #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)) |
(*.f64 (*.f64 i i) (neg.f64 (fma.f64 i i #s(literal 1/4 binary64)))) |
(*.f64 i (*.f64 (neg.f64 i) (fma.f64 i i #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (neg.f64 (pow.f64 i #s(literal 3 binary64)))) (fma.f64 i i #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) (*.f64 (neg.f64 i) i)) i) |
(/.f64 (*.f64 i (*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (neg.f64 i))) (fma.f64 i i #s(literal -1/4 binary64))) |
(/.f64 (*.f64 i (*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) (neg.f64 i))) (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64))))) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (-.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (-.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 i i)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) i) (neg.f64 i))) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) i) (neg.f64 i))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 i) i) (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 i) i) (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (-.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 i i))) |
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (fma.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (neg.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) i) (neg.f64 i)) (fma.f64 i i #s(literal -1/4 binary64))) |
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) i) (neg.f64 i)) (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))) (fma.f64 i i #s(literal -1/4 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 i i) (fma.f64 i i #s(literal -1/4 binary64))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64)))) (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64))))) |
(/.f64 (*.f64 (neg.f64 i) i) (/.f64 #s(literal 1 binary64) (fma.f64 i i #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal -1/4 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) i) (neg.f64 i)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64))) i) (neg.f64 i)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i i #s(literal -1/4 binary64)) (*.f64 (*.f64 (neg.f64 i) i) (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (pow.f64 i #s(literal 4 binary64)))) (*.f64 (*.f64 (neg.f64 i) i) (+.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 6 binary64)))))) |
(neg.f64 (*.f64 i (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i))) |
(neg.f64 (*.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) i)) |
(neg.f64 (fma.f64 (*.f64 i #s(literal 1/4 binary64)) i (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) i) (*.f64 i i)) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) (pow.f64 i #s(literal -1 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) i))) i (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 i (*.f64 #s(literal 4 binary64) i))) (/.f64 (pow.f64 i #s(literal 3 binary64)) i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 i #s(literal 1/4 binary64))) i (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 i (*.f64 #s(literal 2 binary64) i))) (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 i) i) (/.f64 i (*.f64 #s(literal 4 binary64) i))) #s(literal 1 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 i) i) (*.f64 i #s(literal 1/4 binary64))) (pow.f64 i #s(literal -1 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 i) i) (/.f64 i (*.f64 #s(literal 2 binary64) i))) (/.f64 i (*.f64 #s(literal 2 binary64) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 i #s(literal 1/4 binary64)) #s(literal -1 binary64)) i (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) (pow.f64 i #s(literal -1 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (/.f64 i (*.f64 #s(literal 4 binary64) i))) (/.f64 (pow.f64 i #s(literal 3 binary64)) i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (/.f64 i (*.f64 #s(literal 2 binary64) i))) (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) i))) i (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1 binary64)) i (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(fma.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) i) i) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 (/.f64 (/.f64 #s(literal -2 binary64) i) i) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) #s(literal 1/2 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) (/.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) (/.f64 i (*.f64 #s(literal 2 binary64) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (fma.f64 i i #s(literal 1/4 binary64)) i) #s(literal 0 binary64) (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) (neg.f64 i))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) (pow.f64 i #s(literal 4 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (/.f64 i (*.f64 #s(literal 4 binary64) i)) #s(literal -1 binary64)) (*.f64 i i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #s(literal 1 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 i i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -2 binary64) i) i) #s(literal -1 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 i (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) i (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(fma.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (*.f64 i i) (*.f64 #s(literal 4 binary64) i)) (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (/.f64 i (*.f64 #s(literal 4 binary64) i)) (neg.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 i #s(literal 1/4 binary64)) (neg.f64 i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (/.f64 i (*.f64 #s(literal 2 binary64) i)) (*.f64 #s(literal -1/2 binary64) (*.f64 i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) (neg.f64 (/.f64 (*.f64 i i) (*.f64 (*.f64 #s(literal 2 binary64) i) i))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) (neg.f64 (/.f64 i (*.f64 #s(literal 2 binary64) i))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) #s(literal -1/2 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64))) (/.f64 i (*.f64 (*.f64 #s(literal 2 binary64) i) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (neg.f64 i) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i (/.f64 #s(literal -1/4 binary64) (*.f64 i i))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 (*.f64 i (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 i) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(fma.f64 (*.f64 (/.f64 i (*.f64 #s(literal 4 binary64) i)) #s(literal 1 binary64)) (*.f64 (neg.f64 i) i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 i (*.f64 (*.f64 #s(literal 2 binary64) i) i))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) i) i) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) i) (neg.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i))) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
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(/.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (neg.f64 i) i)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) i)) |
(/.f64 (/.f64 #s(literal -2 binary64) i) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)) |
(/.f64 #s(literal -2 binary64) (neg.f64 i)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)) |
(/.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 i i)) |
(/.f64 #s(literal 2 binary64) i) |
(neg.f64 (/.f64 #s(literal -2 binary64) i)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) i)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) i)) #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 #s(literal -1 binary64) i) |
(*.f64 (*.f64 (neg.f64 i) i) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (neg.f64 i) #s(literal 1 binary64)) |
(*.f64 i #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 i) (neg.f64 i))) 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 (*.f64 (neg.f64 i) i)) (neg.f64 i)) |
(/.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))) |
(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 17 644 to 1 411 computations (92% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 451 | 1 | 452 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 4 | 4 |
| Total | 452 | 6 | 458 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.7% | (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
| ▶ | 46.5% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i))) |
| ✓ | 54.2% | #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))) |
| ✓ | 46.6% | #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))) |
| ✓ | 46.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ✓ | 54.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
Compiled 169 to 81 computations (52.1% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -4 binary64) i) | |
| cost-diff | 0 | (/.f64 i (/.f64 #s(literal -4 binary64) i)) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 41 |
| 0 | 16 | 37 |
| 1 | 46 | 35 |
| 2 | 188 | 29 |
| 3 | 1062 | 29 |
| 4 | 3647 | 27 |
| 5 | 5403 | 27 |
| 6 | 7424 | 27 |
| 0 | 8046 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i))) |
(/.f64 i (/.f64 #s(literal -4 binary64) i)) |
i |
(/.f64 #s(literal -4 binary64) i) |
#s(literal -4 binary64) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i))) |
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 (*.f64 i i) #s(literal -4 binary64))) |
(/.f64 i (/.f64 #s(literal -4 binary64) i)) |
(/.f64 (*.f64 i i) #s(literal -4 binary64)) |
i |
(/.f64 #s(literal -4 binary64) i) |
#s(literal -4 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal -4 binary64) i) | |
| accuracy | 0.13671875 | (/.f64 i (/.f64 #s(literal -4 binary64) i)) | |
| accuracy | 34.19361461406653 | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i))) |
| 19.0ms | 256× | 0 | valid |
Compiled 37 to 15 computations (59.5% saved)
ival-div: 6.0ms (45% of total)ival-mult: 6.0ms (45% of total)ival-sub: 1.0ms (7.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i))) |
(/.f64 i (/.f64 #s(literal -4 binary64) i)) |
(/.f64 #s(literal -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)) |
(/ -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)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | i | @ | 0 | ((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ i (/ -4 i)) (/ -4 i)) |
| 1.0ms | i | @ | inf | ((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ i (/ -4 i)) (/ -4 i)) |
| 1.0ms | i | @ | -inf | ((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/ i (/ -4 i)) (/ -4 i)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 98 |
| 1 | 84 | 98 |
| 2 | 186 | 97 |
| 3 | 431 | 93 |
| 4 | 898 | 93 |
| 5 | 1652 | 93 |
| 6 | 2883 | 93 |
| 7 | 5520 | 93 |
| 8 | 6619 | 93 |
| 0 | 8177 | 90 |
| 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)) |
(/ -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)))))) |
| 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 (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 i) |
(/.f64 #s(literal -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 (/.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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 39 |
| 0 | 16 | 33 |
| 1 | 88 | 31 |
| 2 | 738 | 23 |
| 0 | 9078 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i))) |
(/.f64 i (/.f64 #s(literal -4 binary64) i)) |
(/.f64 #s(literal -4 binary64) 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))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) i)) (pow.f64 i #s(literal 3 binary64))) |
(*.f64 (/.f64 i #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) i)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) i) #s(literal -1 binary64)) i) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (*.f64 #s(literal 1/4 binary64) i)) |
(*.f64 (*.f64 (*.f64 i #s(literal -1/2 binary64)) i) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 1/4 binary64) i)) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 i) i) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 i #s(literal 1/2 binary64)) i)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -4 binary64) i) i) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -4 binary64) i) i) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal -1 binary64)) (neg.f64 i)) |
(*.f64 (/.f64 (neg.f64 i) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) i)) |
(*.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 i #s(literal 1/2 binary64)) i)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.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 3 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) i)) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) (pow.f64 i #s(literal 4 binary64))) |
(*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) i)) |
(*.f64 (*.f64 i #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/4 binary64) (/.f64 i (pow.f64 i #s(literal -1 binary64)))) |
(*.f64 #s(literal -1/4 binary64) (pow.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(*.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i) (/.f64 i (*.f64 #s(literal -2 binary64) i))) |
(*.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) i) (neg.f64 i)) |
(*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i))) |
(*.f64 (*.f64 i #s(literal 1/2 binary64)) (*.f64 i #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) i)) |
(*.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 i) (pow.f64 i #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 i) i)) |
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) i))) |
(*.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) i))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) i))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 (neg.f64 i) (*.f64 #s(literal 4 binary64) (*.f64 i i)))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 i (*.f64 #s(literal -4 binary64) (*.f64 i i)))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 (neg.f64 i) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) i))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)) (neg.f64 (pow.f64 i #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) i) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) i) i) |
(*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 i) (*.f64 #s(literal 1/4 binary64) i)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 (*.f64 i i) (*.f64 (/.f64 #s(literal 1/2 binary64) i) (*.f64 i #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 i i) #s(literal -1/4 binary64)) |
(*.f64 i (/.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i) (*.f64 #s(literal -2 binary64) i))) |
(*.f64 i (/.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 i i)))) |
(*.f64 i (/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i)))) |
(*.f64 i (*.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal -1/2 binary64)))) |
(*.f64 i (*.f64 (neg.f64 (pow.f64 i #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal -2 binary64)))) |
(*.f64 i (*.f64 (pow.f64 i #s(literal 3 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 i (*.f64 #s(literal -1/4 binary64) i)) |
(pow.f64 (/.f64 (/.f64 #s(literal -4 binary64) i) i) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) i) |
(/.f64 (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)) i) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 i #s(literal 3 binary64)))) i) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 i i))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))) |
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 i i)) #s(literal 4 binary64)) |
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) i) (*.f64 #s(literal 4 binary64) i)) |
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 i #s(literal -4 binary64))) i) |
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) |
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))) |
(/.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -4 binary64)) (*.f64 i i)) |
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) i)) i) |
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 i i)) |
(/.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) i)) (*.f64 i (pow.f64 i #s(literal -4 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) i)) (/.f64 #s(literal 2 binary64) (pow.f64 i #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i) (*.f64 i #s(literal -1/2 binary64))) i) |
(/.f64 (*.f64 i (*.f64 i #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 i #s(literal -1/2 binary64)) (*.f64 (*.f64 i #s(literal 1/2 binary64)) i)) i) |
(/.f64 (*.f64 (*.f64 i #s(literal -1/2 binary64)) (*.f64 (neg.f64 i) i)) (*.f64 #s(literal -2 binary64) i)) |
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (*.f64 i i)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) i)) i) |
(/.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 1/4 binary64)) (*.f64 i i)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) |
(/.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) i)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (/.f64 #s(literal 4 binary64) i)) |
(/.f64 (*.f64 (*.f64 i #s(literal -1/2 binary64)) i) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (*.f64 #s(literal 1/4 binary64) i)) i) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 i #s(literal 1/2 binary64)) i)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))) |
(/.f64 (/.f64 i (pow.f64 i #s(literal -1 binary64))) #s(literal -4 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 i i)))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) i) |
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 i i)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) |
(/.f64 (neg.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) (*.f64 (*.f64 i #s(literal 1/2 binary64)) i)) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) |
(/.f64 (*.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) i)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 i i))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64))) i) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 i i)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) i) i)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal -4 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 i) i) #s(literal 1 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/4 binary64)) (neg.f64 i)) |
(/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 i) i)) |
(/.f64 (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) i) i)) |
(/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 i i)) (pow.f64 i #s(literal -4 binary64))) |
(/.f64 (*.f64 i #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) i)) |
(/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 i #s(literal 1/2 binary64)) i) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) i) (/.f64 #s(literal -1 binary64) i)) |
(/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)) (neg.f64 (*.f64 #s(literal -2 binary64) i))) |
(/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) i)) |
(/.f64 (*.f64 (neg.f64 i) i) #s(literal 4 binary64)) |
(/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) i)) |
(/.f64 (pow.f64 i #s(literal 3 binary64)) (*.f64 i #s(literal -4 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) i))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) i) (pow.f64 i #s(literal -1 binary64))) |
(/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 i i))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 i) (/.f64 #s(literal 4 binary64) i)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) i) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) i) i)) |
(/.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 i i))) |
(/.f64 (*.f64 i i) #s(literal -4 binary64)) |
(/.f64 i (/.f64 #s(literal -4 binary64) i)) |
(neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) i)) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -4 binary64) i) i)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 4 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) i)) |
(*.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -4 binary64)) |
(*.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 1 binary64))) |
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) i)) |
(*.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1 binary64)) |
(*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -4 binary64) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) i)) |
(pow.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) i)) |
(/.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1/4 binary64)) |
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 i))) |
(/.f64 #s(literal 4 binary64) (neg.f64 i)) |
(/.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1 binary64)) |
(/.f64 #s(literal -4 binary64) i) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) i)) |
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) i) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal 4 binary64) i)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) i)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) i)) #s(literal -1 binary64))) |
Compiled 5 947 to 532 computations (91.1% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 170 | 0 | 170 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 170 | 6 | 176 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.7% | (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) i)) |
| ✓ | 46.5% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (/.f64 i (/.f64 #s(literal -4 binary64) i))) |
| ✓ | 54.2% | #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))) |
| ✓ | 46.6% | #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))) |
| ✓ | 46.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (*.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ✓ | 54.6% | #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)) |
Compiled 445 to 137 computations (69.2% 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 i (/.f64 #s(literal -4 binary64) i))) |
(*.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)) (/.f64 (/.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) 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 (*.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 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)) |
2 calls:
| 3.0ms | 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 |
| 78.3% | 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))) |
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 i (/.f64 #s(literal -4 binary64) 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)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 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 |
|---|---|---|
| 99.6% | 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 |
|---|---|---|
| 99.6% | 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:
| 1.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 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:
| 21.0ms | (/.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))) |
| 1.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.6% | 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))) |
| 54.6% | 1 | i |
Compiled 26 to 11 computations (57.7% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 827.9797069635129 | 61582772.53257533 |
| 4.0ms | 64× | 0 | valid |
Compiled 184 to 106 computations (42.4% saved)
ival-div: 1.0ms (39.4% of total)ival-mult: 1.0ms (39.4% of total)ival-sub: 0.0ms (0% 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 |
|---|---|---|
| 12.0ms | 0.05875680378679866 | 827.9797069635129 |
| 7.0ms | 128× | 0 | valid |
Compiled 572 to 286 computations (50% saved)
ival-mult: 3.0ms (59.2% of total)ival-sub: 1.0ms (19.7% of total)ival-div: 1.0ms (19.7% 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 | 0.05875680378679866 | 827.9797069635129 |
Compiled 524 to 254 computations (51.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.05875680378679866 | 827.9797069635129 |
Compiled 524 to 254 computations (51.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.05875680378679866 | 827.9797069635129 |
Compiled 492 to 238 computations (51.6% saved)
| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 336 |
| 1 | 76 | 316 |
| 2 | 234 | 276 |
| 3 | 1145 | 256 |
| 4 | 2625 | 246 |
| 5 | 4862 | 236 |
| 6 | 7372 | 236 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 i #s(literal 20000000 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 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 |
|---|
(if (<=.f64 i #s(literal 20000000 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 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 | 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 | 10 | 63 |
| 0 | 17 | 47 |
| 1 | 75 | 41 |
| 2 | 653 | 29 |
| 0 | 8772 | 27 |
| 0 | 32 | 196 |
| 0 | 45 | 168 |
| 1 | 186 | 160 |
| 2 | 1344 | 129 |
| 0 | 9078 | 127 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 450 to 114 computations (74.7% saved)
(abs i)
Compiled 808 to 154 computations (80.9% saved)
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