
Time bar (total: 6.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 7 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 8 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 9 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 10 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 11 |
| 96.9% | 96.7% | 3.1% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 624.0ms | 8 256× | 0 | valid |
ival-mult: 274.0ms (66.1% of total)ival-add: 82.0ms (19.8% of total)ival-div: 47.0ms (11.3% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)adjust: 2.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 107 | 1 | (-3.5179656878021173e-115 -4.2675043293679725e+118 2.2067453874433952e+258 1.4441622696339824e+75) | 2 | (-3.604988719830501e-245 -5.4878459555738355e+206 -8.874457993490284e-158 7.762402511820593e-286) | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 1 | 0 | - | 0 | - | (+.f64 (*.f64 a c) (*.f64 b d)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | (*.f64 d d) |
| 0 | 0 | - | 0 | - | (*.f64 c c) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 b d) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/o | 52 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 67 | |
| ↳ | (*.f64 a c) | overflow | 31 | |
| ↳ | (*.f64 b d) | overflow | 40 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 117 | |
| ↳ | (*.f64 c c) | overflow | 64 | |
| ↳ | (*.f64 d d) | overflow | 74 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 35 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 117 | |
| ↳ | (*.f64 c c) | overflow | 64 | |
| ↳ | (*.f64 d d) | overflow | 74 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 15 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 67 | |
| ↳ | (*.f64 a c) | overflow | 31 | |
| ↳ | (*.f64 b d) | overflow | 40 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 4 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 12 | |
| ↳ | (*.f64 c c) | underflow | 69 | |
| ↳ | (*.f64 d d) | underflow | 48 | |
+.f64 | (+.f64 (*.f64 a c) (*.f64 b d)) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 a c) | overflow | 31 | |
| ↳ | (*.f64 b d) | overflow | 40 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 105 | 2 |
| - | 1 | 148 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 105 | 0 | 2 |
| - | 1 | 0 | 148 |
| number | freq |
|---|---|
| 0 | 150 |
| 1 | 105 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 38.0ms | 512× | 0 | valid |
Compiled 109 to 37 computations (66.1% saved)
ival-mult: 13.0ms (63.1% of total)ival-add: 4.0ms (19.4% of total)ival-div: 3.0ms (14.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 214 |
| 1 | 202 | 210 |
| 2 | 487 | 210 |
| 3 | 889 | 210 |
| 4 | 1487 | 210 |
| 5 | 1833 | 210 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 38 | 15 |
| 2 | 100 | 15 |
| 3 | 198 | 15 |
| 4 | 310 | 15 |
| 5 | 435 | 15 |
| 6 | 441 | 15 |
| 0 | 441 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.3% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 15 to 11 computations (26.7% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 0 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 1 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| cost-diff | 1 | (+.f64 (*.f64 a c) (*.f64 b d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 38 | 45 |
| 2 | 100 | 45 |
| 3 | 198 | 45 |
| 4 | 310 | 45 |
| 5 | 435 | 45 |
| 6 | 441 | 45 |
| 0 | 441 | 41 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.f64 b d) |
(*.f64 d b) |
b |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 a c) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 0.2617166858302058 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| accuracy | 25.151453780068344 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 19.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 6.0ms (58.4% of total)ival-add: 2.0ms (19.5% of total)ival-div: 1.0ms (9.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 a c) (*.f64 b d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 a c) |
| Outputs |
|---|
(* b d) |
(+ (* a c) (* b d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(* c (+ a (/ (* b d) c))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | d | @ | -inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c)) |
| 2.0ms | b | @ | -inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c)) |
| 1.0ms | a | @ | -inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c)) |
| 1.0ms | a | @ | 0 | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c)) |
| 1.0ms | c | @ | inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 623 |
| 1 | 667 | 571 |
| 2 | 2422 | 547 |
| 3 | 7277 | 547 |
| 0 | 8281 | 503 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* b d) |
(+ (* a c) (* b d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(* c (+ a (/ (* b d) c))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
| Outputs |
|---|
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (* b d) a))) |
(*.f64 (fma.f64 (/.f64 d a) b c) a) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 d a) b c) a) (fma.f64 d d (*.f64 c c))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 (fma.f64 (/.f64 d a) b c) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 d a) b c) a) (fma.f64 d d (*.f64 c c))) |
(* b (+ d (/ (* a c) b))) |
(*.f64 (fma.f64 (/.f64 c b) a d) b) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) (fma.f64 d d (*.f64 c c))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 (fma.f64 (/.f64 c b) a d) b) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) (fma.f64 d d (*.f64 c c))) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 a)) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(* c (+ a (/ (* b d) c))) |
(*.f64 (fma.f64 (/.f64 b c) d a) c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 (fma.f64 (/.f64 b c) d a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) (neg.f64 b)) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 0 | 18 | 32 |
| 1 | 69 | 32 |
| 2 | 592 | 32 |
| 0 | 9029 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 a c) (*.f64 b d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 a c) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (-.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (fma.f64 d b (*.f64 c a))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d)))) (*.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))))) (+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (fma.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 c) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (*.f64 (neg.f64 c) a))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (neg.f64 c) a (*.f64 d b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) (fma.f64 c a (*.f64 (neg.f64 b) d))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (fma.f64 c a (*.f64 (neg.f64 b) d)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d b (*.f64 (neg.f64 c) a))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) c) a) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 9 binary64)) (pow.f64 (*.f64 d b) #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) c) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 9 binary64)) (pow.f64 (*.f64 d b) #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) c) a) #s(literal 3 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (fma.f64 (neg.f64 c) a (*.f64 d b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (neg.f64 (fma.f64 (neg.f64 c) a (*.f64 d b)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)))) (/.f64 (neg.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (fma.f64 d b (*.f64 c a)) (/.f64 (neg.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (-.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (-.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(fma.f64 d b (*.f64 (neg.f64 (neg.f64 a)) c)) |
(fma.f64 d b (neg.f64 (*.f64 (neg.f64 c) a))) |
(fma.f64 d b (*.f64 c a)) |
(fma.f64 b d (*.f64 (neg.f64 (neg.f64 a)) c)) |
(fma.f64 b d (neg.f64 (*.f64 (neg.f64 c) a))) |
(fma.f64 b d (*.f64 c a)) |
(fma.f64 c a (*.f64 (neg.f64 d) (neg.f64 b))) |
(fma.f64 c a (*.f64 d b)) |
(fma.f64 a c (*.f64 (neg.f64 d) (neg.f64 b))) |
(fma.f64 a c (*.f64 d b)) |
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(+.f64 (/.f64 (pow.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (*.f64 (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))))) (/.f64 (pow.f64 (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (*.f64 (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (fma.f64 d d (*.f64 c c)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (*.f64 (neg.f64 (/.f64 (*.f64 d b) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (neg.f64 c) c (*.f64 d d)))) |
(+.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (*.f64 (neg.f64 (/.f64 (*.f64 d b) (-.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (-.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))) |
(+.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (*.f64 (neg.f64 d) (/.f64 b (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (*.f64 (neg.f64 b) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) |
(*.f64 c a) |
(*.f64 a c) |
Compiled 12 618 to 1 021 computations (91.9% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 333 | 16 | 349 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 334 | 16 | 350 |
| Status | Accuracy | Program |
|---|---|---|
| 59.8% | (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) | |
| ▶ | 24.9% | (/.f64 (fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) |
| ▶ | 60.3% | (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
| 40.2% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 31.8% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ▶ | 56.6% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 52.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d))) | |
| 43.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c))) | |
| 48.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) | |
| ▶ | 59.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| 48.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d)) | |
| 36.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c)) | |
| 47.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| ▶ | 39.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 41.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) | |
| 37.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
Compiled 812 to 494 computations (39.2% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (*.f64 d b) | |
| cost-diff | 7 | (fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) | |
| cost-diff | 9 | (/.f64 (fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 a d) c b) d) | |
| cost-diff | 0 | #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 1 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| cost-diff | 0 | (/.f64 a d) | |
| cost-diff | 0 | (fma.f64 (/.f64 a d) c b) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 a d) c b) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) | |
| cost-diff | 0 | (/.f64 a c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (*.f64 c a) | |
| cost-diff | 0 | (fma.f64 d b (*.f64 c a)) | |
| cost-diff | 0 | (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 265 |
| 0 | 52 | 241 |
| 1 | 113 | 234 |
| 2 | 363 | 234 |
| 3 | 1804 | 234 |
| 4 | 7981 | 234 |
| 0 | 8010 | 234 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 d b (*.f64 c a)) |
d |
b |
(*.f64 c a) |
c |
a |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
a |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
a |
d |
c |
b |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
a |
d |
c |
b |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
(/.f64 (fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) |
(*.f64 d b) |
d |
b |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)) |
(*.f64 c a) |
a |
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 d b (*.f64 c a)) |
(fma.f64 b d (*.f64 a c)) |
d |
b |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
a |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
a |
d |
c |
b |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (fma.f64 d d (*.f64 c c))) |
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
a |
d |
c |
b |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(*.f64 d d) |
(/.f64 (fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) |
(*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 b d (*.f64 a c))) |
(*.f64 d b) |
(*.f64 b d) |
d |
b |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)) |
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) a) c) |
(*.f64 c a) |
(*.f64 a c) |
a |
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11328125 | (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64)) | |
| accuracy | 9.023741645999491 | (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)) | |
| accuracy | 11.706585979411434 | (fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) | |
| accuracy | 46.35171307502544 | (/.f64 (fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 2.906053263060072 | (fma.f64 (/.f64 a d) c b) | |
| accuracy | 3.8227429945146834 | (*.f64 (fma.f64 (/.f64 a d) c b) d) | |
| accuracy | 25.151453780068344 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| accuracy | 0.0 | (/.f64 a d) | |
| accuracy | 0.764324134066723 | (/.f64 (fma.f64 (/.f64 a d) c b) d) | |
| accuracy | 2.906053263060072 | (fma.f64 (/.f64 a d) c b) | |
| accuracy | 25.706643630516975 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) | |
| accuracy | 0.0 | (/.f64 a c) | |
| accuracy | 38.9013851708923 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) | |
| accuracy | 0.0 | (*.f64 c a) | |
| accuracy | 0.00390625 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 0.2539034976055602 | (fma.f64 d b (*.f64 c a)) | |
| accuracy | 25.151453780068344 | (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
| 99.0ms | 256× | 0 | valid |
Compiled 254 to 30 computations (88.2% saved)
ival-add: 28.0ms (51.1% of total)ival-mult: 15.0ms (27.4% of total)ival-div: 9.0ms (16.4% of total)ival-pow2: 2.0ms (3.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 c a) |
(fma.f64 d d (*.f64 c c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(/.f64 (fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) |
(*.f64 d b) |
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)) |
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64)) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* b d) |
(+ (* a c) (* b d)) |
(* a c) |
(/ a c) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ a d) |
(* b (* d (+ (pow c 2) (pow d 2)))) |
(+ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (* d (+ (pow c 2) (pow d 2))))) |
(* a (* c (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ c (/ (* b d) a))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (* c (+ (pow c 2) (pow d 2))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) a))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (* c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) a))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ (* d (+ (pow c 2) (pow d 2))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) b))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 (* d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) b))))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (* c (+ (* c (- (/ b (pow d 3)) (* 2 (/ b (pow d 3))))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (+ (* c (- (/ a (pow d 4)) (* 2 (/ a (pow d 4))))) (/ b (pow d 3))) (* 2 (/ b (pow d 3))))) (/ a (pow d 2)))) (/ b d)) |
(* b (pow d 3)) |
(+ (* a (* c (pow d 2))) (* b (pow d 3))) |
(+ (* b (pow d 3)) (* c (+ (* a (pow d 2)) (* b (* c d))))) |
(+ (* b (pow d 3)) (* c (+ (* a (pow d 2)) (* c (+ (* a c) (* b d)))))) |
(* a (* c (pow d 2))) |
(* c (+ (* a (pow c 2)) (* a (pow d 2)))) |
(pow d 4) |
(+ (* 2 (* (pow c 2) (pow d 2))) (pow d 4)) |
(+ (* (pow c 2) (+ (* 2 (pow d 2)) (pow c 2))) (pow d 4)) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* c (+ a (/ (* b d) c))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(/ (- (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* b d) c))) (* 2 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (+ (/ (* b d) c) (/ (* b (pow d 3)) (pow c 3))))) (+ (* 2 (/ (* a (pow d 2)) (pow c 2))) (* 2 (/ (* b (pow d 3)) (pow c 3))))) c) |
(* a (pow c 3)) |
(* (pow c 3) (+ a (/ (* b d) c))) |
(* (pow c 3) (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* b d) c)))) |
(* (pow c 3) (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (+ (/ (* b d) c) (/ (* b (pow d 3)) (pow c 3)))))) |
(* (pow c 3) (+ a (/ (* a (pow d 2)) (pow c 2)))) |
(pow c 4) |
(* (pow c 4) (+ 1 (* 2 (/ (pow d 2) (pow c 2))))) |
(* (pow c 4) (+ 1 (+ (* 2 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (* -1 (* a (pow d 2))) (* -2 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* a (pow d 2))) (* -1 (/ (- (* b (pow d 3)) (* 2 (* b (pow d 3)))) c))) (* -2 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (+ (* b d) (/ (* a (pow d 2)) c)) c))))) |
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow d 2))) (* -1 (/ (* b (pow d 3)) c))) c)) (* b d)) c))))) |
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (* a (pow d 2)) (pow c 2)))))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(+ (* d (+ (* d (- (/ a (pow c 3)) (* 2 (/ a (pow c 3))))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (+ (* d (- (/ b (pow c 4)) (* 2 (/ b (pow c 4))))) (/ a (pow c 3))) (* 2 (/ a (pow c 3))))) (/ b (pow c 2)))) (/ a c)) |
(+ (* a (pow c 3)) (* b (* (pow c 2) d))) |
(+ (* a (pow c 3)) (* d (+ (* a (* c d)) (* b (pow c 2))))) |
(+ (* a (pow c 3)) (* d (+ (* b (pow c 2)) (* d (+ (* a c) (* b d)))))) |
(+ (* a (* c (pow d 2))) (* a (pow c 3))) |
(+ (* 2 (* (pow c 2) (pow d 2))) (pow c 4)) |
(+ (* (pow d 2) (+ (* 2 (pow c 2)) (pow d 2))) (pow c 4)) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (- (+ b (+ (/ (* a c) d) (/ (* b (pow c 2)) (pow d 2)))) (* 2 (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ (- (+ b (+ (/ (* a c) d) (+ (/ (* a (pow c 3)) (pow d 3)) (/ (* b (pow c 2)) (pow d 2))))) (+ (* 2 (/ (* a (pow c 3)) (pow d 3))) (* 2 (/ (* b (pow c 2)) (pow d 2))))) d) |
(* (pow d 3) (+ b (/ (* a c) d))) |
(* (pow d 3) (+ b (+ (/ (* a c) d) (/ (* b (pow c 2)) (pow d 2))))) |
(* (pow d 3) (+ b (+ (/ (* a c) d) (+ (/ (* a (pow c 3)) (pow d 3)) (/ (* b (pow c 2)) (pow d 2)))))) |
(* (pow d 2) (+ (* a c) (/ (* a (pow c 3)) (pow d 2)))) |
(* (pow d 4) (+ 1 (* 2 (/ (pow c 2) (pow d 2))))) |
(* (pow d 4) (+ 1 (+ (* 2 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (* -1 (* b (pow c 2))) (* -2 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* b (pow c 2))) (* -1 (/ (- (* a (pow c 3)) (* 2 (* a (pow c 3)))) d))) (* -2 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (+ (* a c) (/ (* b (pow c 2)) d)) d))))) |
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* b (pow c 2))) (* -1 (/ (* a (pow c 3)) d))) d)) (* a c)) d))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | d | @ | -inf | ((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* (+ (* (/ a d) c) b) d) (/ (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (pow (+ (* d d) (* c c)) 2)) (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (* d b) (* (+ (* d d) (* c c)) (* c a)) (pow (+ (* d d) (* c c)) 2)) |
| 5.0ms | b | @ | inf | ((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* (+ (* (/ a d) c) b) d) (/ (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (pow (+ (* d d) (* c c)) 2)) (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (* d b) (* (+ (* d d) (* c c)) (* c a)) (pow (+ (* d d) (* c c)) 2)) |
| 4.0ms | a | @ | -inf | ((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* (+ (* (/ a d) c) b) d) (/ (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (pow (+ (* d d) (* c c)) 2)) (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (* d b) (* (+ (* d d) (* c c)) (* c a)) (pow (+ (* d d) (* c c)) 2)) |
| 3.0ms | a | @ | 0 | ((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* (+ (* (/ a d) c) b) d) (/ (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (pow (+ (* d d) (* c c)) 2)) (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (* d b) (* (+ (* d d) (* c c)) (* c a)) (pow (+ (* d d) (* c c)) 2)) |
| 3.0ms | a | @ | inf | ((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* (+ (* (/ a d) c) b) d) (/ (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (pow (+ (* d d) (* c c)) 2)) (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (* d b) (* (+ (* d d) (* c c)) (* c a)) (pow (+ (* d d) (* c c)) 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 468 | 2042 |
| 1 | 1823 | 1850 |
| 2 | 7383 | 1831 |
| 0 | 8196 | 1696 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* b d) |
(+ (* a c) (* b d)) |
(* a c) |
(/ a c) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ a d) |
(* b (* d (+ (pow c 2) (pow d 2)))) |
(+ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (* d (+ (pow c 2) (pow d 2))))) |
(* a (* c (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ c (/ (* b d) a))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (* c (+ (pow c 2) (pow d 2))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) a))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (* c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) a))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ (* d (+ (pow c 2) (pow d 2))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) b))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 (* d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) b))))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (* c (+ (* c (- (/ b (pow d 3)) (* 2 (/ b (pow d 3))))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (+ (* c (- (/ a (pow d 4)) (* 2 (/ a (pow d 4))))) (/ b (pow d 3))) (* 2 (/ b (pow d 3))))) (/ a (pow d 2)))) (/ b d)) |
(* b (pow d 3)) |
(+ (* a (* c (pow d 2))) (* b (pow d 3))) |
(+ (* b (pow d 3)) (* c (+ (* a (pow d 2)) (* b (* c d))))) |
(+ (* b (pow d 3)) (* c (+ (* a (pow d 2)) (* c (+ (* a c) (* b d)))))) |
(* a (* c (pow d 2))) |
(* c (+ (* a (pow c 2)) (* a (pow d 2)))) |
(pow d 4) |
(+ (* 2 (* (pow c 2) (pow d 2))) (pow d 4)) |
(+ (* (pow c 2) (+ (* 2 (pow d 2)) (pow c 2))) (pow d 4)) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* c (+ a (/ (* b d) c))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(/ (- (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* b d) c))) (* 2 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (+ (/ (* b d) c) (/ (* b (pow d 3)) (pow c 3))))) (+ (* 2 (/ (* a (pow d 2)) (pow c 2))) (* 2 (/ (* b (pow d 3)) (pow c 3))))) c) |
(* a (pow c 3)) |
(* (pow c 3) (+ a (/ (* b d) c))) |
(* (pow c 3) (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* b d) c)))) |
(* (pow c 3) (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (+ (/ (* b d) c) (/ (* b (pow d 3)) (pow c 3)))))) |
(* (pow c 3) (+ a (/ (* a (pow d 2)) (pow c 2)))) |
(pow c 4) |
(* (pow c 4) (+ 1 (* 2 (/ (pow d 2) (pow c 2))))) |
(* (pow c 4) (+ 1 (+ (* 2 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (* -1 (* a (pow d 2))) (* -2 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* a (pow d 2))) (* -1 (/ (- (* b (pow d 3)) (* 2 (* b (pow d 3)))) c))) (* -2 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (+ (* b d) (/ (* a (pow d 2)) c)) c))))) |
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow d 2))) (* -1 (/ (* b (pow d 3)) c))) c)) (* b d)) c))))) |
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (* a (pow d 2)) (pow c 2)))))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(+ (* d (+ (* d (- (/ a (pow c 3)) (* 2 (/ a (pow c 3))))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (+ (* d (- (/ b (pow c 4)) (* 2 (/ b (pow c 4))))) (/ a (pow c 3))) (* 2 (/ a (pow c 3))))) (/ b (pow c 2)))) (/ a c)) |
(+ (* a (pow c 3)) (* b (* (pow c 2) d))) |
(+ (* a (pow c 3)) (* d (+ (* a (* c d)) (* b (pow c 2))))) |
(+ (* a (pow c 3)) (* d (+ (* b (pow c 2)) (* d (+ (* a c) (* b d)))))) |
(+ (* a (* c (pow d 2))) (* a (pow c 3))) |
(+ (* 2 (* (pow c 2) (pow d 2))) (pow c 4)) |
(+ (* (pow d 2) (+ (* 2 (pow c 2)) (pow d 2))) (pow c 4)) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (- (+ b (+ (/ (* a c) d) (/ (* b (pow c 2)) (pow d 2)))) (* 2 (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ (- (+ b (+ (/ (* a c) d) (+ (/ (* a (pow c 3)) (pow d 3)) (/ (* b (pow c 2)) (pow d 2))))) (+ (* 2 (/ (* a (pow c 3)) (pow d 3))) (* 2 (/ (* b (pow c 2)) (pow d 2))))) d) |
(* (pow d 3) (+ b (/ (* a c) d))) |
(* (pow d 3) (+ b (+ (/ (* a c) d) (/ (* b (pow c 2)) (pow d 2))))) |
(* (pow d 3) (+ b (+ (/ (* a c) d) (+ (/ (* a (pow c 3)) (pow d 3)) (/ (* b (pow c 2)) (pow d 2)))))) |
(* (pow d 2) (+ (* a c) (/ (* a (pow c 3)) (pow d 2)))) |
(* (pow d 4) (+ 1 (* 2 (/ (pow c 2) (pow d 2))))) |
(* (pow d 4) (+ 1 (+ (* 2 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (* -1 (* b (pow c 2))) (* -2 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* b (pow c 2))) (* -1 (/ (- (* a (pow c 3)) (* 2 (* a (pow c 3)))) d))) (* -2 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (+ (* a c) (/ (* b (pow c 2)) d)) d))))) |
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* b (pow c 2))) (* -1 (/ (* a (pow c 3)) d))) d)) (* a c)) d))))) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(* a c) |
(*.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(/ a d) |
(/.f64 a d) |
(* b (* d (+ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) d) b) |
(+ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (* d (+ (pow c 2) (pow d 2))))) |
(*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) |
(* a (* c (+ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) c) a) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 b a) d c) (fma.f64 c c (*.f64 d d))) a) |
(* a (+ c (/ (* b d) a))) |
(*.f64 (fma.f64 (/.f64 d a) b c) a) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 a d) d) c) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d) a) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(* a (+ (/ b a) (/ c d))) |
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a) |
(* a (+ (* c (+ (pow c 2) (pow d 2))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) a))) |
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(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 c d) a b)) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (+ (* a c) (/ (* b (pow c 2)) d)) d))))) |
(*.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 a c (/.f64 (*.f64 (*.f64 c b) c) d)) d) b))) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* b (pow c 2))) (* -1 (/ (* a (pow c 3)) d))) d)) (* a c)) d))))) |
(*.f64 (pow.f64 (neg.f64 d) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 a c (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d))) d)) (neg.f64 d)) b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 216 |
| 0 | 52 | 192 |
| 1 | 215 | 185 |
| 2 | 1773 | 185 |
| 0 | 8745 | 175 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 c a) |
(fma.f64 d d (*.f64 c c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(/.f64 (fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) |
(*.f64 d b) |
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)) |
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 b d (*.f64 a c))) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 b d (*.f64 a c)))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 d) b))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 b d (*.f64 a c))) (pow.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 b d (*.f64 a c))) (pow.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 b d (*.f64 a c))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 b d (*.f64 a c))))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 b d (*.f64 a c)))))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c))))) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) a) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 b) d))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 b) d))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 b) d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 c) a))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 c) a))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c)))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c)))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c)))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 b) d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) a) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) a) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 b) d))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) a) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) a) c (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 b) d))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 b) d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 c) a))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 b) d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) d) b (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 c) a))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 3 binary64))) |
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#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
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(/.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (+.f64 d c) (-.f64 d c)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (+.f64 d c) (-.f64 d c)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (+.f64 d c) (-.f64 d c)))) |
(/.f64 (pow.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))) |
(/.f64 (pow.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))) |
(/.f64 (pow.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) #s(literal 2 binary64))) |
(neg.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 d d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (*.f64 c c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 d d) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 c c))) |
(fma.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 c c) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 d d))) |
(fma.f64 (*.f64 c c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (*.f64 d d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (log.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 d d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 c c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 c c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 d d)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 c c))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 c c)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 d d))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
Compiled 89 540 to 5 674 computations (93.7% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 905 | 10 | 1 915 |
| Fresh | 8 | 3 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 915 | 16 | 1 931 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.4% | (fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
| ✓ | 60.3% | (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
| ▶ | 40.2% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
| 31.8% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) | |
| 50.5% | #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) | |
| 43.7% | #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c) a) c)) | |
| 40.9% | #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) | |
| ▶ | 58.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) |
| 48.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) | |
| ✓ | 59.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| ▶ | 26.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
| ▶ | 47.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 39.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 41.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) | |
| 53.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b))) | |
| 24.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
Compiled 728 to 455 computations (37.5% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 a d) | |
| cost-diff | 0 | (/.f64 c d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) | |
| cost-diff | 2 | (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) | |
| cost-diff | 0 | #s(approx (+ (* d d) (* c c)) (*.f64 d d)) | |
| cost-diff | 0 | (*.f64 c a) | |
| cost-diff | 0 | (fma.f64 d b (*.f64 c a)) | |
| cost-diff | 0 | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) | |
| cost-diff | 0 | (/.f64 (*.f64 a c) d) | |
| cost-diff | 0 | #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) | |
| cost-diff | 0 | (/.f64 b d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| cost-diff | 0 | (/.f64 b (hypot.f64 c d)) | |
| cost-diff | 0 | (hypot.f64 c d) | |
| cost-diff | 0 | (/.f64 d (hypot.f64 c d)) | |
| cost-diff | 8 | (fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 243 |
| 0 | 58 | 240 |
| 1 | 111 | 228 |
| 2 | 246 | 220 |
| 3 | 541 | 220 |
| 4 | 1108 | 220 |
| 5 | 1558 | 220 |
| 6 | 1592 | 220 |
| 7 | 1596 | 220 |
| 0 | 1596 | 215 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 d (hypot.f64 c d)) |
d |
(hypot.f64 c d) |
c |
(/.f64 b (hypot.f64 c d)) |
b |
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
(*.f64 a c) |
a |
(pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
b |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) |
(/.f64 (*.f64 a c) d) |
(*.f64 a c) |
a |
c |
d |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(fma.f64 d b (*.f64 c a)) |
d |
b |
(*.f64 c a) |
c |
a |
#s(approx (+ (* d d) (* c c)) (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) |
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) |
(/.f64 c d) |
c |
d |
(/.f64 a d) |
a |
(/.f64 b d) |
b |
| Outputs |
|---|
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
(/.f64 d (hypot.f64 c d)) |
d |
(hypot.f64 c d) |
c |
(/.f64 b (hypot.f64 c d)) |
b |
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
(*.f64 (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) c) |
(*.f64 a c) |
a |
(pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
b |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) |
(/.f64 (*.f64 a c) d) |
(*.f64 a c) |
a |
c |
d |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(/.f64 (fma.f64 b d (*.f64 a c)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(fma.f64 d b (*.f64 c a)) |
(fma.f64 b d (*.f64 a c)) |
d |
b |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
#s(approx (+ (* d d) (* c c)) (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(/.f64 c d) |
c |
d |
(/.f64 a d) |
a |
(/.f64 b d) |
b |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 b d) | |
| accuracy | 0.0 | (/.f64 a d) | |
| accuracy | 3.0845405990782417 | (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) | |
| accuracy | 25.706643630516975 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) | |
| accuracy | 0.0 | (*.f64 c a) | |
| accuracy | 0.2539034976055602 | (fma.f64 d b (*.f64 c a)) | |
| accuracy | 23.723430574673337 | #s(approx (+ (* d d) (* c c)) (*.f64 d d)) | |
| accuracy | 25.151453780068344 | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) | |
| accuracy | 0.764324134066723 | (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d) | |
| accuracy | 3.678820610333786 | (/.f64 (*.f64 a c) d) | |
| accuracy | 25.706643630516975 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) | |
| accuracy | 34.47642420664982 | #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) | |
| accuracy | 0.0 | (/.f64 b d) | |
| accuracy | 33.8226726791857 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| accuracy | 0.00390625 | (/.f64 b (hypot.f64 c d)) | |
| accuracy | 0.015625 | (/.f64 d (hypot.f64 c d)) | |
| accuracy | 1.2872639456145925 | (fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) | |
| accuracy | 16.84895467273962 | (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
| 66.0ms | 256× | 0 | valid |
Compiled 238 to 35 computations (85.3% saved)
ival-div: 17.0ms (36.1% of total)ival-mult: 14.0ms (29.7% of total)ival-add: 8.0ms (17% of total)ival-hypot: 5.0ms (10.6% of total)ival-pow2: 2.0ms (4.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 d (hypot.f64 c d)) |
(hypot.f64 c d) |
(/.f64 b (hypot.f64 c d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) |
(/.f64 (*.f64 a c) d) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 c a) |
#s(approx (+ (* d d) (* c c)) (*.f64 d d)) |
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) |
(/.f64 c d) |
(/.f64 a d) |
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* b d) |
(+ (* a c) (* b d)) |
(* a c) |
(/ a d) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ c (/ (* b d) a))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ d (/ (* a c) b))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
1 |
(+ 1 (* -1/2 (/ (pow c 2) (pow d 2)))) |
(+ 1 (* (pow c 2) (- (* 3/8 (/ (pow c 2) (pow d 4))) (* 1/2 (/ 1 (pow d 2)))))) |
(+ 1 (* (pow c 2) (- (* (pow c 2) (+ (* -5/16 (/ (pow c 2) (pow d 6))) (* 3/8 (/ 1 (pow d 4))))) (* 1/2 (/ 1 (pow d 2)))))) |
d |
(+ d (* 1/2 (/ (pow c 2) d))) |
(+ d (* (pow c 2) (+ (* -1/8 (/ (pow c 2) (pow d 3))) (* 1/2 (/ 1 d))))) |
(+ d (* (pow c 2) (+ (* (pow c 2) (- (* 1/16 (/ (pow c 2) (pow d 5))) (* 1/8 (/ 1 (pow d 3))))) (* 1/2 (/ 1 d))))) |
(+ (* -1/2 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(+ (* (pow c 2) (+ (* -1/2 (/ b (pow d 3))) (* 3/8 (/ (* b (pow c 2)) (pow d 5))))) (/ b d)) |
(+ (* (pow c 2) (+ (* -1/2 (/ b (pow d 3))) (* (pow c 2) (+ (* -5/16 (/ (* b (pow c 2)) (pow d 7))) (* 3/8 (/ b (pow d 5))))))) (/ b d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(/ c d) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ d c) |
(/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c) |
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c) |
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c) |
c |
(* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2))))) |
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2)))))) |
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2))))))) |
(/ b c) |
(/ (+ b (* -1/2 (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (* b (pow d 2)) (pow c 2)))))) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ a (/ (* b d) c))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c)) |
(* -1 (/ d c)) |
(* -1 (/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c)) |
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c)) |
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c)) |
(* -1 c) |
(* -1 (* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2)))))) |
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2))))))) |
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2)))))))) |
(* -1 (/ b c)) |
(* -1 (/ (+ b (* -1/2 (/ (* b (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (* b (pow d 2)) (pow c 2))))) c)) |
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (* b (pow d 2)) (pow c 2)))))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(* d (+ (* -1/2 (/ (pow d 2) (pow c 3))) (/ 1 c))) |
(* d (+ (* (pow d 2) (- (* 3/8 (/ (pow d 2) (pow c 5))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -5/16 (/ (pow d 2) (pow c 7))) (* 3/8 (/ 1 (pow c 5))))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c))) |
(+ c (* 1/2 (/ (pow d 2) c))) |
(+ c (* (pow d 2) (+ (* -1/8 (/ (pow d 2) (pow c 3))) (* 1/2 (/ 1 c))))) |
(+ c (* (pow d 2) (+ (* (pow d 2) (- (* 1/16 (/ (pow d 2) (pow c 5))) (* 1/8 (/ 1 (pow c 3))))) (* 1/2 (/ 1 c))))) |
(+ (* -1/2 (/ (* b (pow d 2)) (pow c 3))) (/ b c)) |
(+ (* (pow d 2) (+ (* -1/2 (/ b (pow c 3))) (* 3/8 (/ (* b (pow d 2)) (pow c 5))))) (/ b c)) |
(+ (* (pow d 2) (+ (* -1/2 (/ b (pow c 3))) (* (pow d 2) (+ (* -5/16 (/ (* b (pow d 2)) (pow c 7))) (* 3/8 (/ b (pow c 5))))))) (/ b c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* -1/2 (/ (pow c 2) (pow d 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* -1/2 (/ (pow c 2) (pow d 2)))))) |
(* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2))))) |
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))))) |
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))))) |
(/ (+ b (* -1/2 (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (* -1/2 (/ (* b (pow c 2)) (pow d 2))))) d) |
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6))) (pow d 6))) (* -1/2 (/ (* b (pow c 2)) (pow d 2)))))) d) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d)) |
-1 |
(- (* 1/2 (/ (pow c 2) (pow d 2))) 1) |
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))) 1) |
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* 1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))) 1) |
(* -1 d) |
(* -1 (* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2)))))) |
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2))))))) |
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2)))))))) |
(* -1 (/ b d)) |
(* -1 (/ (+ b (* -1/2 (/ (* b (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (* -1/2 (/ (* b (pow c 2)) (pow d 2))))) d)) |
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6))) (pow d 6))) (* -1/2 (/ (* b (pow c 2)) (pow d 2)))))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | b | @ | 0 | ((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ b (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* a c) d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (+ (* (/ c d) (/ a d)) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c d) (/ a d) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) |
| 6.0ms | d | @ | 0 | ((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ b (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* a c) d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (+ (* (/ c d) (/ a d)) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c d) (/ a d) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) |
| 4.0ms | c | @ | inf | ((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ b (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* a c) d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (+ (* (/ c d) (/ a d)) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c d) (/ a d) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) |
| 4.0ms | d | @ | inf | ((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ b (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* a c) d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (+ (* (/ c d) (/ a d)) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c d) (/ a d) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) |
| 4.0ms | a | @ | -inf | ((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ b (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* a c) d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (+ (* (/ c d) (/ a d)) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c d) (/ a d) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 596 | 2720 |
| 1 | 2077 | 2594 |
| 2 | 7974 | 2594 |
| 0 | 8013 | 2405 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* b d) |
(+ (* a c) (* b d)) |
(* a c) |
(/ a d) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ c (/ (* b d) a))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ d (/ (* a c) b))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
1 |
(+ 1 (* -1/2 (/ (pow c 2) (pow d 2)))) |
(+ 1 (* (pow c 2) (- (* 3/8 (/ (pow c 2) (pow d 4))) (* 1/2 (/ 1 (pow d 2)))))) |
(+ 1 (* (pow c 2) (- (* (pow c 2) (+ (* -5/16 (/ (pow c 2) (pow d 6))) (* 3/8 (/ 1 (pow d 4))))) (* 1/2 (/ 1 (pow d 2)))))) |
d |
(+ d (* 1/2 (/ (pow c 2) d))) |
(+ d (* (pow c 2) (+ (* -1/8 (/ (pow c 2) (pow d 3))) (* 1/2 (/ 1 d))))) |
(+ d (* (pow c 2) (+ (* (pow c 2) (- (* 1/16 (/ (pow c 2) (pow d 5))) (* 1/8 (/ 1 (pow d 3))))) (* 1/2 (/ 1 d))))) |
(+ (* -1/2 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(+ (* (pow c 2) (+ (* -1/2 (/ b (pow d 3))) (* 3/8 (/ (* b (pow c 2)) (pow d 5))))) (/ b d)) |
(+ (* (pow c 2) (+ (* -1/2 (/ b (pow d 3))) (* (pow c 2) (+ (* -5/16 (/ (* b (pow c 2)) (pow d 7))) (* 3/8 (/ b (pow d 5))))))) (/ b d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(/ c d) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ d c) |
(/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c) |
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c) |
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c) |
c |
(* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2))))) |
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2)))))) |
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2))))))) |
(/ b c) |
(/ (+ b (* -1/2 (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (* b (pow d 2)) (pow c 2)))))) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ a (/ (* b d) c))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c)) |
(* -1 (/ d c)) |
(* -1 (/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c)) |
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c)) |
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c)) |
(* -1 c) |
(* -1 (* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2)))))) |
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2))))))) |
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2)))))))) |
(* -1 (/ b c)) |
(* -1 (/ (+ b (* -1/2 (/ (* b (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (* b (pow d 2)) (pow c 2))))) c)) |
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (* b (pow d 2)) (pow c 2)))))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(* d (+ (* -1/2 (/ (pow d 2) (pow c 3))) (/ 1 c))) |
(* d (+ (* (pow d 2) (- (* 3/8 (/ (pow d 2) (pow c 5))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -5/16 (/ (pow d 2) (pow c 7))) (* 3/8 (/ 1 (pow c 5))))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c))) |
(+ c (* 1/2 (/ (pow d 2) c))) |
(+ c (* (pow d 2) (+ (* -1/8 (/ (pow d 2) (pow c 3))) (* 1/2 (/ 1 c))))) |
(+ c (* (pow d 2) (+ (* (pow d 2) (- (* 1/16 (/ (pow d 2) (pow c 5))) (* 1/8 (/ 1 (pow c 3))))) (* 1/2 (/ 1 c))))) |
(+ (* -1/2 (/ (* b (pow d 2)) (pow c 3))) (/ b c)) |
(+ (* (pow d 2) (+ (* -1/2 (/ b (pow c 3))) (* 3/8 (/ (* b (pow d 2)) (pow c 5))))) (/ b c)) |
(+ (* (pow d 2) (+ (* -1/2 (/ b (pow c 3))) (* (pow d 2) (+ (* -5/16 (/ (* b (pow d 2)) (pow c 7))) (* 3/8 (/ b (pow c 5))))))) (/ b c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* -1/2 (/ (pow c 2) (pow d 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* -1/2 (/ (pow c 2) (pow d 2)))))) |
(* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2))))) |
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))))) |
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))))) |
(/ (+ b (* -1/2 (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (* -1/2 (/ (* b (pow c 2)) (pow d 2))))) d) |
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6))) (pow d 6))) (* -1/2 (/ (* b (pow c 2)) (pow d 2)))))) d) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d)) |
-1 |
(- (* 1/2 (/ (pow c 2) (pow d 2))) 1) |
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))) 1) |
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* 1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))) 1) |
(* -1 d) |
(* -1 (* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2)))))) |
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2))))))) |
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2)))))))) |
(* -1 (/ b d)) |
(* -1 (/ (+ b (* -1/2 (/ (* b (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (* -1/2 (/ (* b (pow c 2)) (pow d 2))))) d)) |
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6))) (pow d 6))) (* -1/2 (/ (* b (pow c 2)) (pow d 2)))))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 a d) c b) |
(/ (* a c) d) |
(*.f64 (/.f64 a d) c) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(* a c) |
(*.f64 a c) |
(/ a d) |
(/.f64 a d) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (/.f64 (fma.f64 d (/.f64 b a) c) (fma.f64 c c (*.f64 d d))) a) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 a d) d) c) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)) a) |
(* a (+ (/ b a) (/ c d))) |
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a) |
(* a (+ c (/ (* b d) a))) |
(*.f64 (fma.f64 d (/.f64 b a) c) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (neg.f64 a) (neg.f64 (/.f64 (fma.f64 d (/.f64 b a) c) (fma.f64 c c (*.f64 d d))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 (neg.f64 a) (neg.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 (neg.f64 a) (neg.f64 (+.f64 (/.f64 c d) (/.f64 b a)))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 d (/.f64 b a) c))) |
(* b (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) b) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 c c (*.f64 d d))) b) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(fma.f64 a (*.f64 (/.f64 (/.f64 c (*.f64 d d)) b) b) (/.f64 b d)) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(fma.f64 (*.f64 b (/.f64 a b)) (/.f64 c d) b) |
(* b (+ d (/ (* a c) b))) |
(*.f64 (fma.f64 (/.f64 c b) a d) b) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (neg.f64 b) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 c c (*.f64 d d))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 a b) (/.f64 (neg.f64 c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) d))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 a b) (/.f64 (neg.f64 c) d)) #s(literal 1 binary64))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 (/.f64 c b) a d))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 (/.f64 a d) d)) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (/.f64 (/.f64 a d) d)) c (/.f64 b d)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow c 2) (pow d 2)))) |
(fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow c 2) (- (* 3/8 (/ (pow c 2) (pow d 4))) (* 1/2 (/ 1 (pow d 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 d #s(literal 4 binary64))) c) c (/.f64 #s(literal -1/2 binary64) (*.f64 d d))) (*.f64 c c) #s(literal 1 binary64)) |
(+ 1 (* (pow c 2) (- (* (pow c 2) (+ (* -5/16 (/ (pow c 2) (pow d 6))) (* 3/8 (/ 1 (pow d 4))))) (* 1/2 (/ 1 (pow d 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64)))) #s(literal -5/16 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 #s(literal -1/2 binary64) (*.f64 d d))) (*.f64 c c) #s(literal 1 binary64)) |
d |
(+ d (* 1/2 (/ (pow c 2) d))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 c c) d) |
(+ d (* (pow c 2) (+ (* -1/8 (/ (pow c 2) (pow d 3))) (* 1/2 (/ 1 d))))) |
(fma.f64 (fma.f64 (*.f64 c (/.f64 c (pow.f64 d #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 c c) d) |
(+ d (* (pow c 2) (+ (* (pow c 2) (- (* 1/16 (/ (pow c 2) (pow d 5))) (* 1/8 (/ 1 (pow d 3))))) (* 1/2 (/ 1 d))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 c c) d) |
(+ (* -1/2 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(/.f64 (fma.f64 (*.f64 (*.f64 c (/.f64 c (*.f64 d d))) b) #s(literal -1/2 binary64) b) d) |
(+ (* (pow c 2) (+ (* -1/2 (/ b (pow d 3))) (* 3/8 (/ (* b (pow c 2)) (pow d 5))))) (/ b d)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 b (pow.f64 d #s(literal 5 binary64))) #s(literal 3/8 binary64)) c) c (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (*.f64 c c) (/.f64 b d)) |
(+ (* (pow c 2) (+ (* -1/2 (/ b (pow d 3))) (* (pow c 2) (+ (* -5/16 (/ (* b (pow c 2)) (pow d 7))) (* 3/8 (/ b (pow d 5))))))) (/ b d)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 b (pow.f64 d #s(literal 5 binary64))) #s(literal 3/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b c) c) #s(literal -5/16 binary64)) (pow.f64 d #s(literal 7 binary64)))) (*.f64 c c) (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (*.f64 c c) (/.f64 b d)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ c d) |
(/.f64 c d) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(*.f64 (fma.f64 (neg.f64 a) (*.f64 c (/.f64 c (pow.f64 d #s(literal 4 binary64)))) (/.f64 (/.f64 a d) d)) c) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 a d) d) c)) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (*.f64 c (/.f64 c (pow.f64 d #s(literal 8 binary64)))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 a d) d)) c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c) a) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c)) a) c) |
(/ d c) |
(/.f64 d c) |
(/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c) |
(fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) #s(literal -1/2 binary64) (/.f64 d c)) |
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) (/.f64 d (pow.f64 c #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c)) #s(literal -1/2 binary64) d) c) |
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) (/.f64 d (pow.f64 c #s(literal 4 binary64))) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) d) d) #s(literal 1/2 binary64) (pow.f64 d #s(literal 6 binary64))) (/.f64 d (pow.f64 c #s(literal 6 binary64))) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c))) d) c) |
c |
(* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2))))) |
(fma.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 (/.f64 d c) (/.f64 d c)) c) |
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (*.f64 d (/.f64 d c)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64)))) c c) |
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(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) (*.f64 a c)) (*.f64 d d)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64))) (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) (*.f64 a c))) (*.f64 d d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c d)) (*.f64 a c)) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (pow c 2) (pow d 2))) 1) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 c (*.f64 d d)))) #s(literal 1 binary64)) |
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))) 1) |
(-.f64 (*.f64 (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* 1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))) 1) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 c #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 c c) (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))))) #s(literal 1 binary64)) |
(* -1 d) |
(neg.f64 d) |
(* -1 (* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 c (/.f64 c d)) #s(literal 1 binary64)) (neg.f64 d)) |
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 c (/.f64 c d)) #s(literal 1 binary64))) (neg.f64 d)) |
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2)))))))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 c (*.f64 d d)))))) d d)) |
(* -1 (/ b d)) |
(/.f64 (neg.f64 b) d) |
(* -1 (/ (+ b (* -1/2 (/ (* b (pow c 2)) (pow d 2)))) d)) |
(/.f64 (fma.f64 (*.f64 (*.f64 c (/.f64 c (*.f64 d d))) b) #s(literal -1/2 binary64) b) (neg.f64 d)) |
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (* -1/2 (/ (* b (pow c 2)) (pow d 2))))) d)) |
(/.f64 (fma.f64 (*.f64 b (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d))))) #s(literal -1/2 binary64) b) (neg.f64 d)) |
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6))) (pow d 6))) (* -1/2 (/ (* b (pow c 2)) (pow d 2)))))) d)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 c #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 c c) (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 c #s(literal 4 binary64))) (/.f64 b (pow.f64 d #s(literal 4 binary64))))) b) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b)) d) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 208 |
| 0 | 58 | 204 |
| 1 | 236 | 185 |
| 2 | 1942 | 185 |
| 0 | 8347 | 180 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 d (hypot.f64 c d)) |
(hypot.f64 c d) |
(/.f64 b (hypot.f64 c d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) |
(/.f64 (*.f64 a c) d) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 c a) |
#s(approx (+ (* d d) (* c c)) (*.f64 d d)) |
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) |
(/.f64 c d) |
(/.f64 a d) |
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))) (/.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))))) (*.f64 (/.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 b) (/.f64 d (hypot.f64 c d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 d) (/.f64 b (hypot.f64 c d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (hypot.f64 c d)) (neg.f64 d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 d (hypot.f64 c d)) (neg.f64 b)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (/.f64 b (hypot.f64 c d)) d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 b) (neg.f64 d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 a) c))) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (neg.f64 d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 d) (neg.f64 b)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 a) c))) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 d) b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (hypot.f64 c d)) d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (hypot.f64 c d) (*.f64 (neg.f64 a) c))) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 b) d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 a) c))) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a c) (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (hypot.f64 c d) (*.f64 (neg.f64 b) d))) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 a) c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (*.f64 (neg.f64 b) d))) (*.f64 (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 a) c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 b) d))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 b) d))) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b))) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b))) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 6 binary64))))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b))) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b))) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (/.f64 d (hypot.f64 c d))) (hypot.f64 c d) (*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (*.f64 a c) (hypot.f64 c d)))) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (/.f64 d (hypot.f64 c d))) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (*.f64 (neg.f64 a) c)))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (/.f64 d (hypot.f64 c d))) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (/.f64 d (hypot.f64 c d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 a c))) (*.f64 (neg.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 d) (/.f64 b (hypot.f64 c d))) (hypot.f64 c d) (*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (*.f64 a c) (hypot.f64 c d)))) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 d) (/.f64 b (hypot.f64 c d))) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (*.f64 (neg.f64 a) c)))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 d) (/.f64 b (hypot.f64 c d))) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 d) (/.f64 b (hypot.f64 c d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 a c))) (*.f64 (neg.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (/.f64 b (hypot.f64 c d)) (neg.f64 d)) (hypot.f64 c d) (*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (*.f64 a c) (hypot.f64 c d)))) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (/.f64 b (hypot.f64 c d)) (neg.f64 d)) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (*.f64 (neg.f64 a) c)))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (/.f64 b (hypot.f64 c d)) (neg.f64 d)) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (/.f64 b (hypot.f64 c d)) (neg.f64 d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 a c))) (*.f64 (neg.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
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(/.f64 (fma.f64 (*.f64 (/.f64 d (hypot.f64 c d)) (neg.f64 b)) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (*.f64 (neg.f64 a) c)))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))) |
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(/.f64 (fma.f64 b (*.f64 d d) (*.f64 d (*.f64 a c))) (pow.f64 d #s(literal 3 binary64))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a c) d) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 d d)) (/.f64 (-.f64 (/.f64 (*.f64 a c) d) b) d)) |
(/.f64 (+.f64 (pow.f64 (/.f64 b d) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a c) d) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 a c) d) b)) (*.f64 d d)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 b d) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 3 binary64))) (fma.f64 (/.f64 b d) (/.f64 (-.f64 b (/.f64 (*.f64 a c) d)) d) (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a (neg.f64 d)) (/.f64 c (neg.f64 d)) (/.f64 b d)) |
(fma.f64 (/.f64 c (neg.f64 d)) (/.f64 a (neg.f64 d)) (/.f64 b d)) |
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)) |
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) |
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d)) |
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)) |
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d)) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 a c) d) b) d)) (/.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 a c) d) b) d))) |
(-.f64 (/.f64 b d) (*.f64 (neg.f64 (/.f64 a d)) (/.f64 c d))) |
(-.f64 (/.f64 b d) (*.f64 (neg.f64 (/.f64 c d)) (/.f64 a d))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 3 binary64)) (fma.f64 (/.f64 b d) (/.f64 (-.f64 b (/.f64 (*.f64 a c) d)) d) (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b d) #s(literal 3 binary64)) (fma.f64 (/.f64 b d) (/.f64 (-.f64 b (/.f64 (*.f64 a c) d)) d) (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (/.f64 (*.f64 a c) d) d) (/.f64 b d)) |
(+.f64 (/.f64 b d) (/.f64 (/.f64 (*.f64 a c) d) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 c) (neg.f64 d)) |
(/.f64 c d) |
(neg.f64 (/.f64 (neg.f64 c) d)) |
(neg.f64 (/.f64 c (neg.f64 d))) |
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 a) (neg.f64 d)) |
(/.f64 a d) |
(neg.f64 (/.f64 (neg.f64 a) d)) |
(neg.f64 (/.f64 a (neg.f64 d))) |
(*.f64 (/.f64 (*.f64 a c) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (*.f64 a c) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64)))) |
(*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 c (hypot.f64 c d))) |
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d))) |
(*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a) |
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (*.f64 a c) (hypot.f64 c d)) (hypot.f64 c d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) c)) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (neg.f64 a) c) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 a) c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (*.f64 a c) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) |
Compiled 26 757 to 2 684 computations (90% saved)
18 alts after pruning (11 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 796 | 3 | 799 |
| Fresh | 0 | 8 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 797 | 18 | 815 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.5% | (fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) |
| ✓ | 60.3% | (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
| ✓ | 40.2% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
| ▶ | 31.8% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
| ▶ | 31.6% | (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
| ▶ | 50.5% | #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
| 43.7% | #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c) a) c)) | |
| 40.9% | #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) | |
| ✓ | 58.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) |
| 48.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) | |
| ✓ | 59.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| ✓ | 26.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
| ✓ | 47.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 39.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| ▶ | 41.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
| 53.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b))) | |
| 24.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) | |
| 42.2% | #s(approx (+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/.f64 (+.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c)) a) c)) |
Compiled 836 to 501 computations (40.1% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 d c) | |
| cost-diff | 0 | (fma.f64 (/.f64 d c) b a) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 d c) b a) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) | |
| cost-diff | 0 | #s(approx (+ (* d d) (* c c)) (*.f64 c c)) | |
| cost-diff | 0 | (*.f64 c a) | |
| cost-diff | 0 | (fma.f64 d b (*.f64 c a)) | |
| cost-diff | 0 | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) | |
| cost-diff | 0 | (/.f64 b (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) | |
| cost-diff | 1 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | #s(approx (+ (* d d) (* c c)) (*.f64 d d)) | |
| cost-diff | 0 | (*.f64 b d) | |
| cost-diff | 0 | #s(approx (+ (* d b) (* c a)) (*.f64 b d)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) | |
| cost-diff | 0 | (hypot.f64 c d) | |
| cost-diff | 0 | (/.f64 d (hypot.f64 c d)) | |
| cost-diff | 1 | (fma.f64 c c (*.f64 d d)) | |
| cost-diff | 2 | (fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 285 |
| 0 | 72 | 284 |
| 1 | 135 | 269 |
| 2 | 260 | 268 |
| 3 | 550 | 268 |
| 4 | 1129 | 268 |
| 5 | 1589 | 268 |
| 6 | 1626 | 268 |
| 0 | 1626 | 267 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) |
(/.f64 d (hypot.f64 c d)) |
d |
(hypot.f64 c d) |
c |
(/.f64 b (hypot.f64 c d)) |
b |
#s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
(/.f64 c (fma.f64 c c (*.f64 d d))) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 d d) |
a |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (+ (* d b) (* c a)) (*.f64 b d)) |
(*.f64 b d) |
b |
d |
#s(approx (+ (* d d) (* c c)) (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) |
(/.f64 b (fma.f64 d d (*.f64 c c))) |
b |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(fma.f64 d b (*.f64 c a)) |
d |
b |
(*.f64 c a) |
c |
a |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(fma.f64 (/.f64 d c) b a) |
(/.f64 d c) |
d |
c |
b |
a |
| Outputs |
|---|
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) |
(fma.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) b #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))) |
(/.f64 d (hypot.f64 c d)) |
d |
(hypot.f64 c d) |
c |
(/.f64 b (hypot.f64 c d)) |
b |
#s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
(*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a) |
(/.f64 c (fma.f64 c c (*.f64 d d))) |
(/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
(fma.f64 c c (*.f64 d d)) |
(pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) |
(*.f64 d d) |
a |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (+ (* d b) (* c a)) (*.f64 b d)) |
(*.f64 b d) |
b |
d |
#s(approx (+ (* d d) (* c c)) (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) |
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) |
(*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) |
(/.f64 b (fma.f64 d d (*.f64 c c))) |
(/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
b |
(fma.f64 d d (*.f64 c c)) |
(pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) |
d |
(*.f64 c c) |
c |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(fma.f64 d b (*.f64 c a)) |
(fma.f64 a c (*.f64 b d)) |
d |
b |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(fma.f64 (/.f64 d c) b a) |
(/.f64 d c) |
d |
c |
b |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 d c) | |
| accuracy | 0.0390625 | (/.f64 (fma.f64 (/.f64 d c) b a) c) | |
| accuracy | 4.0995630230286615 | (fma.f64 (/.f64 d c) b a) | |
| accuracy | 31.55623985578174 | #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) | |
| accuracy | 0.0 | (*.f64 c a) | |
| accuracy | 0.2539034976055602 | (fma.f64 d b (*.f64 c a)) | |
| accuracy | 25.151453780068344 | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) | |
| accuracy | 29.897952713598922 | #s(approx (+ (* d d) (* c c)) (*.f64 c c)) | |
| accuracy | 0.00390625 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 9.01658372787332 | (/.f64 b (fma.f64 d d (*.f64 c c))) | |
| accuracy | 12.011540613752837 | (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) | |
| accuracy | 24.537973172152714 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) | |
| accuracy | 0.0 | (*.f64 b d) | |
| accuracy | 23.723430574673337 | #s(approx (+ (* d d) (* c c)) (*.f64 d d)) | |
| accuracy | 25.151453780068344 | (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) | |
| accuracy | 27.66323952146191 | #s(approx (+ (* d b) (* c a)) (*.f64 b d)) | |
| accuracy | 0.015625 | (/.f64 d (hypot.f64 c d)) | |
| accuracy | 1.2872639456145925 | (fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) | |
| accuracy | 2.970471990516559 | (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) | |
| accuracy | 18.149603493995834 | (/.f64 c (fma.f64 c c (*.f64 d d))) |
| 63.0ms | 256× | 0 | valid |
Compiled 276 to 33 computations (88% saved)
ival-mult: 15.0ms (33.9% of total)ival-div: 13.0ms (29.4% of total)ival-add: 9.0ms (20.4% of total)ival-hypot: 5.0ms (11.3% of total)ival-pow2: 2.0ms (4.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) |
(fma.f64 c c (*.f64 d d)) |
(/.f64 d (hypot.f64 c d)) |
(hypot.f64 c d) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (+ (* d b) (* c a)) (*.f64 b d)) |
(*.f64 b d) |
#s(approx (+ (* d d) (* c c)) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) |
(/.f64 b (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 c a) |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(fma.f64 (/.f64 d c) b a) |
(/.f64 d c) |
(/.f64 c (fma.f64 c c (*.f64 d d))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* b d) |
(+ (* a c) (* b d)) |
(* a c) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ c (/ (* b d) a))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(/ b (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a b) (/ d c))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
1 |
(+ 1 (* -1/2 (/ (pow c 2) (pow d 2)))) |
(+ 1 (* (pow c 2) (- (* 3/8 (/ (pow c 2) (pow d 4))) (* 1/2 (/ 1 (pow d 2)))))) |
(+ 1 (* (pow c 2) (- (* (pow c 2) (+ (* -5/16 (/ (pow c 2) (pow d 6))) (* 3/8 (/ 1 (pow d 4))))) (* 1/2 (/ 1 (pow d 2)))))) |
d |
(+ d (* 1/2 (/ (pow c 2) d))) |
(+ d (* (pow c 2) (+ (* -1/8 (/ (pow c 2) (pow d 3))) (* 1/2 (/ 1 d))))) |
(+ d (* (pow c 2) (+ (* (pow c 2) (- (* 1/16 (/ (pow c 2) (pow d 5))) (* 1/8 (/ 1 (pow d 3))))) (* 1/2 (/ 1 d))))) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d)) |
(/ b (pow d 2)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) c) |
(/ d c) |
(/ c (pow d 2)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c) |
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c) |
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c) |
c |
(* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2))))) |
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2)))))) |
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2))))))) |
(* c (+ a (/ (* b d) c))) |
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ b (pow c 2)) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c)) |
(* -1 (/ d c)) |
(* -1 (/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c)) |
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c)) |
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c)) |
(* -1 c) |
(* -1 (* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2)))))) |
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2))))))) |
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2)))))))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(* d (+ (* -1/2 (/ (pow d 2) (pow c 3))) (/ 1 c))) |
(* d (+ (* (pow d 2) (- (* 3/8 (/ (pow d 2) (pow c 5))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -5/16 (/ (pow d 2) (pow c 7))) (* 3/8 (/ 1 (pow c 5))))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c))) |
(+ c (* 1/2 (/ (pow d 2) c))) |
(+ c (* (pow d 2) (+ (* -1/8 (/ (pow d 2) (pow c 3))) (* 1/2 (/ 1 c))))) |
(+ c (* (pow d 2) (+ (* (pow d 2) (- (* 1/16 (/ (pow d 2) (pow c 5))) (* 1/8 (/ 1 (pow c 3))))) (* 1/2 (/ 1 c))))) |
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* -1/2 (/ (pow c 2) (pow d 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* -1/2 (/ (pow c 2) (pow d 2)))))) |
(* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2))))) |
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))))) |
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))))) |
(* d (+ b (/ (* a c) d))) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a d) (/ b c))) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d)) |
-1 |
(- (* 1/2 (/ (pow c 2) (pow d 2))) 1) |
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))) 1) |
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* 1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))) 1) |
(* -1 d) |
(* -1 (* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2)))))) |
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2))))))) |
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2)))))))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | d | @ | -inf | ((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (+ (* c c) (* d d)) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ c (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a)) |
| 16.0ms | b | @ | inf | ((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (+ (* c c) (* d d)) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ c (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a)) |
| 4.0ms | c | @ | inf | ((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (+ (* c c) (* d d)) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ c (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a)) |
| 3.0ms | b | @ | -inf | ((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (+ (* c c) (* d d)) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ c (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a)) |
| 3.0ms | c | @ | -inf | ((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (+ (* c c) (* d d)) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ c (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 699 | 3221 |
| 1 | 2325 | 3068 |
| 0 | 8389 | 2879 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* b d) |
(+ (* a c) (* b d)) |
(* a c) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ c (/ (* b d) a))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(/ b (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a b) (/ d c))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
1 |
(+ 1 (* -1/2 (/ (pow c 2) (pow d 2)))) |
(+ 1 (* (pow c 2) (- (* 3/8 (/ (pow c 2) (pow d 4))) (* 1/2 (/ 1 (pow d 2)))))) |
(+ 1 (* (pow c 2) (- (* (pow c 2) (+ (* -5/16 (/ (pow c 2) (pow d 6))) (* 3/8 (/ 1 (pow d 4))))) (* 1/2 (/ 1 (pow d 2)))))) |
d |
(+ d (* 1/2 (/ (pow c 2) d))) |
(+ d (* (pow c 2) (+ (* -1/8 (/ (pow c 2) (pow d 3))) (* 1/2 (/ 1 d))))) |
(+ d (* (pow c 2) (+ (* (pow c 2) (- (* 1/16 (/ (pow c 2) (pow d 5))) (* 1/8 (/ 1 (pow d 3))))) (* 1/2 (/ 1 d))))) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d)) |
(/ b (pow d 2)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) c) |
(/ d c) |
(/ c (pow d 2)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c) |
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c) |
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c) |
c |
(* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2))))) |
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2)))))) |
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2))))))) |
(* c (+ a (/ (* b d) c))) |
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ b (pow c 2)) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c)) |
(* -1 (/ d c)) |
(* -1 (/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c)) |
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c)) |
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c)) |
(* -1 c) |
(* -1 (* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2)))))) |
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2))))))) |
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2)))))))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(* d (+ (* -1/2 (/ (pow d 2) (pow c 3))) (/ 1 c))) |
(* d (+ (* (pow d 2) (- (* 3/8 (/ (pow d 2) (pow c 5))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -5/16 (/ (pow d 2) (pow c 7))) (* 3/8 (/ 1 (pow c 5))))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c))) |
(+ c (* 1/2 (/ (pow d 2) c))) |
(+ c (* (pow d 2) (+ (* -1/8 (/ (pow d 2) (pow c 3))) (* 1/2 (/ 1 c))))) |
(+ c (* (pow d 2) (+ (* (pow d 2) (- (* 1/16 (/ (pow d 2) (pow c 5))) (* 1/8 (/ 1 (pow c 3))))) (* 1/2 (/ 1 c))))) |
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* -1/2 (/ (pow c 2) (pow d 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* -1/2 (/ (pow c 2) (pow d 2)))))) |
(* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2))))) |
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))))) |
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))))) |
(* d (+ b (/ (* a c) d))) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a d) (/ b c))) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d)) |
-1 |
(- (* 1/2 (/ (pow c 2) (pow d 2))) 1) |
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))) 1) |
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* 1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))) 1) |
(* -1 d) |
(* -1 (* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2)))))) |
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2))))))) |
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2)))))))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(* a c) |
(*.f64 a c) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 b (*.f64 c c)) d) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(+ a (/ (* b d) c)) |
(fma.f64 (/.f64 b c) d a) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 d a) b c) (fma.f64 c c (*.f64 d d))) a) |
(* a (+ c (/ (* b d) a))) |
(*.f64 (fma.f64 (/.f64 d a) b c) a) |
(/ a c) |
(/.f64 a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 b (*.f64 (/.f64 (/.f64 d (*.f64 c c)) a) a) (/.f64 a c)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 (*.f64 a (/.f64 b a)) (/.f64 d c) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (neg.f64 a) (neg.f64 (/.f64 (fma.f64 (/.f64 d a) b c) (fma.f64 c c (*.f64 d d))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 d a) b c))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (neg.f64 b) (/.f64 (/.f64 d (*.f64 c c)) a)) (/.f64 #s(literal 1 binary64) c))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (/.f64 b a) (/.f64 (neg.f64 d) c)) #s(literal 1 binary64))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/.f64 b (fma.f64 c c (*.f64 d d))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 c c (*.f64 d d))) b) |
(* b (+ d (/ (* a c) b))) |
(*.f64 (fma.f64 (/.f64 c b) a d) b) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) b) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (neg.f64 b) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 c c (*.f64 d d))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 (/.f64 c b) a d))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 (neg.f64 b) (neg.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 (neg.f64 b) (neg.f64 (+.f64 (/.f64 d c) (/.f64 a b)))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 a c)) d) b) d) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 c c) d) #s(literal 1 binary64)) |
(+ 1 (* (pow c 2) (- (* 3/8 (/ (pow c 2) (pow d 4))) (* 1/2 (/ 1 (pow d 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 d #s(literal 4 binary64))) c) c (/.f64 #s(literal -1/2 binary64) (*.f64 d d))) (*.f64 c c) #s(literal 1 binary64)) |
(+ 1 (* (pow c 2) (- (* (pow c 2) (+ (* -5/16 (/ (pow c 2) (pow d 6))) (* 3/8 (/ 1 (pow d 4))))) (* 1/2 (/ 1 (pow d 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64)))) #s(literal -5/16 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 #s(literal -1/2 binary64) (*.f64 d d))) (*.f64 c c) #s(literal 1 binary64)) |
d |
(+ d (* 1/2 (/ (pow c 2) d))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 c c) d) |
(+ d (* (pow c 2) (+ (* -1/8 (/ (pow c 2) (pow d 3))) (* 1/2 (/ 1 d))))) |
(fma.f64 (fma.f64 (*.f64 c (/.f64 c (pow.f64 d #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 c c) d) |
(+ d (* (pow c 2) (+ (* (pow c 2) (- (* 1/16 (/ (pow c 2) (pow d 5))) (* 1/8 (/ 1 (pow d 3))))) (* 1/2 (/ 1 d))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 c c) d) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (pow.f64 d #s(literal 3 binary64)))) (/.f64 b d)) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) |
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d)) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (pow.f64 d #s(literal 7 binary64)))) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d)) |
(/ b (pow d 2)) |
(/.f64 (/.f64 b d) d) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) |
(fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (pow.f64 d #s(literal 4 binary64)))) (/.f64 (/.f64 b d) d)) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 b d) d)) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (pow.f64 d #s(literal 8 binary64)))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 b d) d)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 a c (*.f64 b d)) c) |
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(fma.f64 (-.f64 (*.f64 d (/.f64 d (pow.f64 c #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 d (/.f64 d (pow.f64 c #s(literal 7 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64)))) (*.f64 d d)) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) a) c) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(fma.f64 (-.f64 (*.f64 (*.f64 d d) (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d (pow.f64 c #s(literal 7 binary64)))) (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (*.f64 d d)) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 a c)) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 a c)) d) b) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (+.f64 (fma.f64 (neg.f64 a) (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 a c)) d)) b) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* -1/2 (/ (pow c 2) (pow d 2))))) |
(fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* -1/2 (/ (pow c 2) (pow d 2)))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 c #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 c c) (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) #s(literal 1 binary64)) |
(* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 c c) d) #s(literal 1 binary64)) d) |
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 c c) d) #s(literal 1 binary64))) d) |
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))))) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 c c) d) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 d #s(literal 4 binary64))))) d d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d) |
(fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (pow.f64 d #s(literal 3 binary64)))) (/.f64 b d)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 c d) (/.f64 c d))) b) d) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d) |
(/.f64 (-.f64 b (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))))) d) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (/.f64 (*.f64 c c) d) b) (*.f64 d d)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 c d) (/.f64 c d))) b) (*.f64 d d)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 b (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))))) (*.f64 d d)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 c (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) (*.f64 d d)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) (*.f64 d d)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d))) (*.f64 d d)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d) (*.f64 a c)) (*.f64 d d)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) (*.f64 a c)) (*.f64 d d)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64))) (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) (*.f64 a c))) (*.f64 d d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 a c)) d)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d)) (neg.f64 d)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ (pow c 2) (pow d 2))) 1) |
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 c c) d)) #s(literal 1 binary64)) |
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))) 1) |
(-.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* 1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))) 1) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 c #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 c c) (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))))) #s(literal 1 binary64)) |
(* -1 d) |
(neg.f64 d) |
(* -1 (* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 c c) d) #s(literal 1 binary64)) (neg.f64 d)) |
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 c c) d) #s(literal 1 binary64))) (neg.f64 d)) |
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2)))))))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 c c) d) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 d #s(literal 4 binary64))))) d d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 c d) a b)) d) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d)) |
(/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d)) |
(/.f64 (fma.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 b (pow.f64 d #s(literal 4 binary64))) b))) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c)))) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 b c) (/.f64 a d))) (neg.f64 d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 231 |
| 0 | 72 | 229 |
| 1 | 249 | 215 |
| 2 | 1590 | 215 |
| 0 | 8714 | 214 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) |
(fma.f64 c c (*.f64 d d)) |
(/.f64 d (hypot.f64 c d)) |
(hypot.f64 c d) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (+ (* d b) (* c a)) (*.f64 b d)) |
(*.f64 b d) |
#s(approx (+ (* d d) (* c c)) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) |
(/.f64 b (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 c a) |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(fma.f64 (/.f64 d c) b a) |
(/.f64 d c) |
(/.f64 c (fma.f64 c c (*.f64 d d))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
| Outputs |
|---|
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64)) (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)))) (*.f64 (-.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))) (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))) (-.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64))) (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64))) (fma.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64))) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64)) (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (hypot.f64 c d)) d) #s(literal 2 binary64)) (*.f64 (*.f64 b d) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64)) (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b (hypot.f64 c d)) d) #s(literal 2 binary64)) (*.f64 (*.f64 b d) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (-.f64 #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)) (pow.f64 (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (/.f64 d (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (/.f64 b (sqrt.f64 (hypot.f64 c d))) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))) |
(fma.f64 (/.f64 (/.f64 b (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (/.f64 d (sqrt.f64 (hypot.f64 c d))) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))) |
(fma.f64 (/.f64 b (sqrt.f64 (hypot.f64 c d))) (/.f64 (/.f64 d (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))) |
(fma.f64 (/.f64 d (sqrt.f64 (hypot.f64 c d))) (/.f64 (/.f64 b (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))) |
(fma.f64 (/.f64 (*.f64 b d) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))) |
(fma.f64 (/.f64 (*.f64 b d) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))) |
(fma.f64 (/.f64 (*.f64 b d) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))) |
(fma.f64 (/.f64 (*.f64 b d) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))) |
(fma.f64 (/.f64 (neg.f64 b) (hypot.f64 c d)) (/.f64 (neg.f64 d) (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))) |
(fma.f64 (/.f64 (neg.f64 b) (hypot.f64 c d)) (/.f64 d (neg.f64 (hypot.f64 c d))) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))) |
(fma.f64 (/.f64 (neg.f64 b) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))) |
(fma.f64 (/.f64 (neg.f64 d) (hypot.f64 c d)) (/.f64 (neg.f64 b) (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))) |
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(-.f64 (*.f64 c c) (*.f64 (neg.f64 d) d)) |
(-.f64 (*.f64 d d) (*.f64 (neg.f64 (neg.f64 c)) (neg.f64 c))) |
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(+.f64 (*.f64 (neg.f64 d) d) (*.f64 (neg.f64 c) c)) |
(+.f64 (*.f64 c c) (*.f64 (neg.f64 (neg.f64 d)) d)) |
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(+.f64 (*.f64 d d) (*.f64 (neg.f64 (neg.f64 c)) c)) |
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(pow.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal 2 binary64)) |
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(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
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(hypot.f64 (neg.f64 (neg.f64 (neg.f64 d))) (neg.f64 (neg.f64 (neg.f64 c)))) |
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 d))) (exp.f64 (log.f64 c))) |
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(hypot.f64 (neg.f64 (neg.f64 (neg.f64 d))) (neg.f64 c)) |
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(hypot.f64 (exp.f64 (log.f64 d)) (neg.f64 (neg.f64 (neg.f64 c)))) |
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(hypot.f64 (exp.f64 (log.f64 d)) (neg.f64 c)) |
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(hypot.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 d))) |
(hypot.f64 (exp.f64 (log.f64 c)) (neg.f64 (neg.f64 d))) |
(hypot.f64 (exp.f64 (log.f64 c)) (neg.f64 d)) |
(hypot.f64 (exp.f64 (log.f64 c)) d) |
(hypot.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 (neg.f64 c)))) |
(hypot.f64 (neg.f64 (neg.f64 d)) (exp.f64 (log.f64 c))) |
(hypot.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 c))) |
(hypot.f64 (neg.f64 (neg.f64 d)) (neg.f64 c)) |
(hypot.f64 (neg.f64 (neg.f64 d)) c) |
(hypot.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 (neg.f64 d)))) |
(hypot.f64 (neg.f64 (neg.f64 c)) (exp.f64 (log.f64 d))) |
(hypot.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 d))) |
(hypot.f64 (neg.f64 (neg.f64 c)) (neg.f64 d)) |
(hypot.f64 (neg.f64 (neg.f64 c)) d) |
(hypot.f64 (neg.f64 d) (neg.f64 (neg.f64 (neg.f64 c)))) |
(hypot.f64 (neg.f64 d) (exp.f64 (log.f64 c))) |
(hypot.f64 (neg.f64 d) (neg.f64 (neg.f64 c))) |
(hypot.f64 (neg.f64 d) (neg.f64 c)) |
(hypot.f64 (neg.f64 d) c) |
(hypot.f64 (neg.f64 c) (neg.f64 (neg.f64 (neg.f64 d)))) |
(hypot.f64 (neg.f64 c) (exp.f64 (log.f64 d))) |
(hypot.f64 (neg.f64 c) (neg.f64 (neg.f64 d))) |
(hypot.f64 (neg.f64 c) (neg.f64 d)) |
(hypot.f64 (neg.f64 c) d) |
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(hypot.f64 c (neg.f64 (neg.f64 d))) |
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(hypot.f64 c d) |
(hypot.f64 d (neg.f64 (neg.f64 (neg.f64 c)))) |
(hypot.f64 d (exp.f64 (log.f64 c))) |
(hypot.f64 d (neg.f64 (neg.f64 c))) |
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(-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d)))) |
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(-.f64 (*.f64 c c) (*.f64 (neg.f64 d) d)) |
(-.f64 (*.f64 d d) (*.f64 (neg.f64 (neg.f64 c)) (neg.f64 c))) |
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(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 d c) b) a)))) (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)) (fma.f64 a a (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 d c) b) a))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)) (fma.f64 a a (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 d c) b) a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 d c) b) a))))) |
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)) (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)) (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 d c) b) a)) (/.f64 (*.f64 (neg.f64 a) a) (-.f64 (*.f64 (/.f64 d c) b) a))) |
(+.f64 (*.f64 (/.f64 d c) b) a) |
(+.f64 a (*.f64 (/.f64 d c) b)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 d))) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 c))) |
(/.f64 (neg.f64 d) (neg.f64 c)) |
(/.f64 d c) |
(neg.f64 (/.f64 (neg.f64 d) c)) |
(neg.f64 (/.f64 d (neg.f64 c))) |
(*.f64 (/.f64 c (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 c (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 c (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64)))) |
(*.f64 (/.f64 c (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 c (hypot.f64 c d))) (neg.f64 (hypot.f64 c d))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
(/.f64 (/.f64 c (hypot.f64 c d)) (hypot.f64 c d)) |
(/.f64 (neg.f64 (neg.f64 c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
(/.f64 (neg.f64 c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
(/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
(neg.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (neg.f64 c) (hypot.f64 c d)) (/.f64 a (neg.f64 (hypot.f64 c d)))) |
(*.f64 (/.f64 (neg.f64 c) (hypot.f64 c d)) (/.f64 a (hypot.f64 c d))) |
(*.f64 (/.f64 (neg.f64 a) (hypot.f64 c d)) (/.f64 c (neg.f64 (hypot.f64 c d)))) |
(*.f64 (/.f64 (neg.f64 a) (hypot.f64 c d)) (/.f64 c (hypot.f64 c d))) |
(*.f64 (/.f64 a (neg.f64 (hypot.f64 c d))) (/.f64 (neg.f64 c) (hypot.f64 c d))) |
(*.f64 (/.f64 a (neg.f64 (hypot.f64 c d))) (/.f64 c (neg.f64 (hypot.f64 c d)))) |
(*.f64 (/.f64 a (neg.f64 (hypot.f64 c d))) (/.f64 c (hypot.f64 c d))) |
(*.f64 (/.f64 c (neg.f64 (hypot.f64 c d))) (/.f64 (neg.f64 a) (hypot.f64 c d))) |
(*.f64 (/.f64 c (neg.f64 (hypot.f64 c d))) (/.f64 a (neg.f64 (hypot.f64 c d)))) |
(*.f64 (/.f64 c (neg.f64 (hypot.f64 c d))) (/.f64 a (hypot.f64 c d))) |
(*.f64 (/.f64 (*.f64 a c) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (*.f64 a c) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 c d) #s(literal 2 binary64)))) |
(*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 (neg.f64 c) (hypot.f64 c d))) |
(*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 c (neg.f64 (hypot.f64 c d)))) |
(*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 c (hypot.f64 c d))) |
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 (neg.f64 a) (hypot.f64 c d))) |
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (neg.f64 (hypot.f64 c d)))) |
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d))) |
(*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a) |
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 a c) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 c) a))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 a c) (hypot.f64 c d)) (hypot.f64 c d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) a)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 c) a) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) |
(neg.f64 (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)) |
Compiled 42 774 to 3 619 computations (91.5% saved)
22 alts after pruning (13 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 872 | 9 | 881 |
| Fresh | 2 | 4 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 877 | 22 | 899 |
| Status | Accuracy | Program |
|---|---|---|
| 33.6% | (fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b #s(approx (sqrt (+ (* c c) (* d d))) (neg.f64 c))) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) | |
| ✓ | 60.3% | (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
| ✓ | 40.2% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
| 31.8% | (/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) | |
| ✓ | 31.6% | (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
| 48.6% | #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) | |
| 48.8% | #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) | |
| 19.6% | #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) | |
| 40.9% | #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) | |
| 19.7% | #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d))) | |
| ✓ | 58.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) |
| ✓ | 59.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| 60.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (/.f64 b (hypot.f64 c d)) d) (hypot.f64 c d))) | |
| ✓ | 26.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
| ✓ | 47.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 39.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 61.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (/.f64 d (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (/.f64 b (sqrt.f64 (hypot.f64 c d))))) | |
| ✓ | 41.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
| 37.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d)) | |
| 53.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b))) | |
| 24.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) | |
| 42.2% | #s(approx (+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/.f64 (+.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c)) a) c)) |
Compiled 1 705 to 567 computations (66.7% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d))) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c) a) c)) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d))) |
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b #s(approx (sqrt (+ (* c c) (* d d))) (neg.f64 c))) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) |
(/.f64 (fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d)) |
#s(approx (+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/.f64 (+.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c)) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (/.f64 b (hypot.f64 c d)) d) (hypot.f64 c d))) |
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (/.f64 d (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (/.f64 b (sqrt.f64 (hypot.f64 c d))))) |
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c))) |
5 calls:
| 13.0ms | d |
| 10.0ms | b |
| 10.0ms | a |
| 10.0ms | c |
| 9.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 1 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 80.5% | 1 | a |
| 80.5% | 1 | b |
| 90.8% | 3 | c |
| 89.7% | 4 | d |
Compiled 19 to 27 computations (-42.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d))) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c) a) c)) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d))) |
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b #s(approx (sqrt (+ (* c c) (* d d))) (neg.f64 c))) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) |
(/.f64 (fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d)) |
#s(approx (+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/.f64 (+.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c)) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (/.f64 b (hypot.f64 c d)) d) (hypot.f64 c d))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c))) |
2 calls:
| 23.0ms | c |
| 9.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 5 | d |
| 88.3% | 5 | c |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d))) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c) a) c)) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
2 calls:
| 13.0ms | d |
| 8.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 5 | d |
| 88.0% | 5 | c |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d))) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c) a) c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
1 calls:
| 7.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 5 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d))) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
1 calls:
| 6.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 5 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d))) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
5 calls:
| 96.0ms | d |
| 15.0ms | c |
| 6.0ms | b |
| 5.0ms | a |
| 5.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.7% | 3 | d |
| 61.6% | 2 | a |
| 64.1% | 3 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 68.7% | 6 | b |
| 81.4% | 3 | c |
Compiled 19 to 27 computations (-42.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d))) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
2 calls:
| 5.0ms | d |
| 4.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.1% | 3 | d |
| 75.9% | 3 | c |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d))) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
2 calls:
| 5.0ms | c |
| 4.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.7% | 5 | d |
| 70.8% | 4 | c |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d))) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
1 calls:
| 3.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.3% | 4 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d))) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
1 calls:
| 2.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.7% | 3 | c |
Compiled 1 to 4 computations (-300% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
5 calls:
| 89.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 1.0ms | c |
| 1.0ms | b |
| 1.0ms | d |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.2% | 1 | a |
| 39.2% | 1 | b |
| 39.2% | 1 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 39.2% | 1 | d |
| 39.2% | 1 | c |
Compiled 19 to 27 computations (-42.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 2.89740735481274e+151 | 5.065494224073824e+151 |
| 19.0ms | -2.0343265778150793e+160 | -1.650894348306392e+142 |
| 16.0ms | 224× | 0 | valid |
Compiled 890 to 566 computations (36.4% saved)
ival-mult: 6.0ms (64% of total)ival-add: 2.0ms (21.3% of total)ival-div: 1.0ms (10.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 2.89740735481274e+151 | 5.065494224073824e+151 |
| 15.0ms | 1.7946879616656425e-56 | 1.9748770378385396e-51 |
| 16.0ms | -5.154703504286436e-114 | -3.9886651163858925e-120 |
| 20.0ms | -4.221424549520505e+88 | -3.4853718804268388e+62 |
| 35.0ms | 480× | 0 | valid |
Compiled 1 362 to 905 computations (33.6% saved)
ival-mult: 14.0ms (62.7% of total)ival-add: 5.0ms (22.4% of total)ival-div: 3.0ms (13.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.89740735481274e+151 | 5.065494224073824e+151 |
| 1.0ms | 1.7946879616656425e-56 | 1.9748770378385396e-51 |
| 1.0ms | -5.154703504286436e-114 | -3.9886651163858925e-120 |
| 1.0ms | -4.221424549520505e+88 | -3.4853718804268388e+62 |
Compiled 1 330 to 889 computations (33.2% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.3934041775125094e+89 | 4.6317517058435265e+98 |
| 18.0ms | 8.72445595132736e-95 | 1.17478987976659e-92 |
| 1.0ms | -5.154703504286436e-114 | -3.9886651163858925e-120 |
| 1.0ms | -4.221424549520505e+88 | -3.4853718804268388e+62 |
| 23.0ms | 256× | 0 | valid |
Compiled 1 382 to 986 computations (28.7% saved)
ival-mult: 13.0ms (78.7% of total)ival-add: 2.0ms (12.1% of total)ival-div: 1.0ms (6.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.3934041775125094e+89 | 4.6317517058435265e+98 |
| 1.0ms | 8.72445595132736e-95 | 1.17478987976659e-92 |
| 1.0ms | -5.154703504286436e-114 | -3.9886651163858925e-120 |
| 1.0ms | -4.221424549520505e+88 | -3.4853718804268388e+62 |
Compiled 1 350 to 954 computations (29.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 1.3934041775125094e+89 | 4.6317517058435265e+98 |
| 17.0ms | -1.9948401075638734e-7 | -1.3224851697192505e-19 |
| 58.0ms | 288× | 0 | valid |
Compiled 930 to 626 computations (32.7% saved)
ival-mult: 45.0ms (90.3% of total)ival-add: 3.0ms (6% of total)ival-div: 2.0ms (4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 1.3934041775125094e+89 | 4.6317517058435265e+98 |
| 15.0ms | -1.9948401075638734e-7 | -1.3224851697192505e-19 |
| 53.0ms | 256× | 0 | valid |
Compiled 835 to 588 computations (29.6% saved)
ival-mult: 42.0ms (90.9% of total)ival-add: 2.0ms (4.3% of total)ival-div: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 5.065494224073824e+151 | 4.56370250407272e+165 |
| 15.0ms | 9.81237505707136e-104 | 3.4614404156452896e-98 |
| 23.0ms | -1.40652014282635e-88 | -3.988897572856885e-101 |
| 32.0ms | 464× | 0 | valid |
Compiled 1 253 to 887 computations (29.2% saved)
ival-mult: 12.0ms (62.1% of total)ival-add: 4.0ms (20.7% of total)ival-div: 3.0ms (15.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 4.56370250407272e+165 | 7.557118802585955e+166 |
| 1.0ms | 9.81237505707136e-104 | 3.4614404156452896e-98 |
| 1.0ms | -1.40652014282635e-88 | -3.988897572856885e-101 |
| 11.0ms | 112× | 0 | valid |
Compiled 1 118 to 794 computations (29% saved)
ival-mult: 3.0ms (64.7% of total)ival-div: 1.0ms (21.6% of total)ival-add: 1.0ms (21.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.3934041775125094e+89 | 4.6317517058435265e+98 |
| 1.0ms | -1.40652014282635e-88 | -3.988897572856885e-101 |
| 5.0ms | 80× | 0 | valid |
Compiled 740 to 550 computations (25.7% saved)
ival-mult: 2.0ms (61.5% of total)ival-add: 1.0ms (30.7% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 945 |
| 1 | 182 | 942 |
| 2 | 262 | 942 |
| 3 | 444 | 942 |
| 4 | 834 | 942 |
| 5 | 1098 | 942 |
| 6 | 1254 | 942 |
| 7 | 3013 | 942 |
| 8 | 4686 | 942 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 c #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c))))) |
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 3235193600058077/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 c #s(literal 46000000000000001662372958966743348088996848253410534719938343672701816146584911949147228753238904631952972270416575712934909109167209348989840881876992 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c))))))) |
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 3235193600058077/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 c #s(literal 46999999999999998917563339030654883119605688687423849686874405905413190203200343604726196596612913310699234154069380865516020118000250502183318148087808 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))))) |
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 1247663247098599/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 c #s(literal 129999999999999998182038059817331204249766697684250844782343580146442861534590134312766539405721600 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))))) |
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 1247663247098599/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 c #s(literal 129999999999999998182038059817331204249766697684250844782343580146442861534590134312766539405721600 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))))) |
(if (<=.f64 c #s(literal -215500602038799/316912650057057350374175801344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 175000000000000002615585636142427290719235569774530838993365759532077456185251131574714368 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))) |
(if (<=.f64 c #s(literal -6800207735332289/37778931862957161709568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))) |
(if (<=.f64 c #s(literal -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 2616539473979321/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 1350000000000000027550701068517562152649011898709263645665712504225912582164495726794990338966645919624690008820959676060810831707695423444908273949474816 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 2616539473979321/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 4600000000000000315083779253767724793406461635361284585002462093963281145056903622866699469705317140900908419219679731735241788676211573792990447606373517330231590912 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 42000000000000001532366249840715326519264857126261681462079537488015496042722646639752773632 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| Outputs |
|---|
(if (<=.f64 c #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c))))) |
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 3235193600058077/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 c #s(literal 46000000000000001662372958966743348088996848253410534719938343672701816146584911949147228753238904631952972270416575712934909109167209348989840881876992 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c))))))) |
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 3235193600058077/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 c #s(literal 46999999999999998917563339030654883119605688687423849686874405905413190203200343604726196596612913310699234154069380865516020118000250502183318148087808 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))))) |
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 1247663247098599/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 c #s(literal 129999999999999998182038059817331204249766697684250844782343580146442861534590134312766539405721600 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))))) |
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 1247663247098599/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 c #s(literal 129999999999999998182038059817331204249766697684250844782343580146442861534590134312766539405721600 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))))) |
(if (<=.f64 c #s(literal -215500602038799/316912650057057350374175801344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 175000000000000002615585636142427290719235569774530838993365759532077456185251131574714368 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))) |
(if (or (<=.f64 c #s(literal -215500602038799/316912650057057350374175801344 binary64)) (not (<=.f64 c #s(literal 175000000000000002615585636142427290719235569774530838993365759532077456185251131574714368 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))) |
(if (<=.f64 c #s(literal -6800207735332289/37778931862957161709568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))) |
(if (or (<=.f64 c #s(literal -6800207735332289/37778931862957161709568 binary64)) (not (<=.f64 c #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))) |
(if (<=.f64 c #s(literal -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 2616539473979321/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 1350000000000000027550701068517562152649011898709263645665712504225912582164495726794990338966645919624690008820959676060810831707695423444908273949474816 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 2616539473979321/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 1350000000000000027550701068517562152649011898709263645665712504225912582164495726794990338966645919624690008820959676060810831707695423444908273949474816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 2616539473979321/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 4600000000000000315083779253767724793406461635361284585002462093963281145056903622866699469705317140900908419219679731735241788676211573792990447606373517330231590912 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 42000000000000001532366249840715326519264857126261681462079537488015496042722646639752773632 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))) |
(if (or (<=.f64 c #s(literal -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (not (<=.f64 c #s(literal 42000000000000001532366249840715326519264857126261681462079537488015496042722646639752773632 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 468 | 2042 |
| 1 | 1823 | 1850 |
| 2 | 7383 | 1831 |
| 0 | 8196 | 1696 |
| 0 | 11 | 32 |
| 0 | 18 | 32 |
| 1 | 69 | 32 |
| 2 | 592 | 32 |
| 0 | 9029 | 28 |
| 0 | 186 | 623 |
| 1 | 667 | 571 |
| 2 | 2422 | 547 |
| 3 | 7277 | 547 |
| 0 | 8281 | 503 |
| 0 | 596 | 2720 |
| 1 | 2077 | 2594 |
| 2 | 7974 | 2594 |
| 0 | 8013 | 2405 |
| 0 | 33 | 216 |
| 0 | 52 | 192 |
| 1 | 215 | 185 |
| 2 | 1773 | 185 |
| 0 | 8745 | 175 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 945 to 130 computations (86.2% saved)
Compiled 1 992 to 322 computations (83.8% saved)
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