
Time bar (total: 5.9s)
| 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)
| 622.0ms | 8 256× | 0 | valid |
ival-mult: 266.0ms (66% of total)ival-add: 74.0ms (18.4% of total)ival-div: 53.0ms (13.2% of total)ival-true: 7.0ms (1.7% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 104 | 0 | - | 1 | (-1.368648516499405e-270 -248730001513885340.0 -2.595599670903043e-202 -1.2159003576160284e-156) | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 3 | 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 | 64 | |
| ↳ | (*.f64 a c) | overflow | 37 | |
| ↳ | (*.f64 b d) | overflow | 32 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 120 | |
| ↳ | (*.f64 c c) | overflow | 75 | |
| ↳ | (*.f64 d d) | overflow | 68 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 33 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 120 | |
| ↳ | (*.f64 c c) | overflow | 75 | |
| ↳ | (*.f64 d d) | overflow | 68 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 12 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 64 | |
| ↳ | (*.f64 a c) | overflow | 37 | |
| ↳ | (*.f64 b d) | overflow | 32 | |
+.f64 | (+.f64 (*.f64 a c) (*.f64 b d)) | nan-rescue | 3 | 0 |
| ↳ | (*.f64 a c) | overflow | 37 | |
| ↳ | (*.f64 b d) | overflow | 32 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 3 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 15 | |
| ↳ | (*.f64 c c) | underflow | 50 | |
| ↳ | (*.f64 d d) | underflow | 64 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 2 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | underflow | 3 | |
| ↳ | (*.f64 a c) | underflow | 31 | |
| ↳ | (*.f64 b d) | underflow | 27 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 15 | |
| ↳ | (*.f64 c c) | underflow | 50 | |
| ↳ | (*.f64 d d) | underflow | 64 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/n | 1 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | underflow | 3 | |
| ↳ | (*.f64 a c) | underflow | 31 | |
| ↳ | (*.f64 b d) | underflow | 27 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 103 | 1 |
| - | 0 | 152 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 103 | 0 | 1 |
| - | 0 | 0 | 152 |
| number | freq |
|---|---|
| 0 | 153 |
| 1 | 100 |
| 2 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 512× | 0 | valid |
Compiled 154 to 48 computations (68.8% saved)
ival-mult: 13.0ms (60.1% of total)ival-add: 5.0ms (23.1% of total)ival-div: 3.0ms (13.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 218 |
| 1 | 132 | 210 |
| 2 | 209 | 210 |
| 3 | 377 | 210 |
| 4 | 914 | 210 |
| 5 | 2299 | 210 |
| 6 | 3076 | 210 |
| 7 | 3886 | 210 |
| 8 | 4759 | 210 |
| 9 | 5156 | 210 |
| 10 | 5284 | 210 |
| 11 | 5444 | 210 |
| 12 | 5444 | 210 |
| 13 | 5480 | 210 |
| 14 | 5496 | 210 |
| 15 | 5496 | 210 |
| 16 | 5856 | 210 |
| 17 | 6830 | 210 |
| 18 | 6982 | 210 |
| 19 | 6994 | 210 |
| 20 | 6998 | 210 |
| 21 | 7006 | 210 |
| 22 | 7014 | 210 |
| 23 | 7014 | 210 |
| 24 | 7122 | 210 |
| 25 | 7170 | 210 |
| 26 | 7170 | 210 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 22 | 15 |
| 0 | 22 | 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 |
|---|---|---|
| ▶ | 61.0% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
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 | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| cost-diff | 128 | (+.f64 (*.f64 a c) (*.f64 b d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 22 | 45 |
| 0 | 22 | 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 | 0.7109333716604116 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| accuracy | 24.747278977891714 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 19.0ms | 256× | 0 | valid |
Compiled 92 to 24 computations (73.9% saved)
ival-mult: 7.0ms (66.1% of total)ival-div: 2.0ms (18.9% of total)ival-add: 2.0ms (18.9% of total)ival-true: 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)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 593 |
| 1 | 618 | 583 |
| 2 | 1892 | 559 |
| 3 | 5765 | 557 |
| 0 | 8305 | 512 |
| 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)))) |
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 d b (*.f64 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)))))) |
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 d b (*.f64 c a)) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 d b (*.f64 c a)) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 d b (*.f64 c a)) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
(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))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 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 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) 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))) |
(fma.f64 d b (*.f64 c a)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.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) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) 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))))) |
(fma.f64 d b (*.f64 c a)) |
(* -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)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) 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))) |
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) (neg.f64 a) (/.f64 b (*.f64 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 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) 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))) |
(fma.f64 d b (*.f64 c a)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(/ (+ 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) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 b c) c) d)) d)) 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))))) |
(fma.f64 d b (*.f64 c a)) |
(* -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)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 b c) c) d)) d)) 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 | 58 | 32 |
| 2 | 435 | 32 |
| 3 | 5073 | 32 |
| 0 | 8760 | 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 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(*.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 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)))) |
(*.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 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (-.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (*.f64 c a) #s(literal 4 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 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 d b) (*.f64 c a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d b (*.f64 c a)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) |
(*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (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 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 d b (*.f64 c a)) (/.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(*.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))) (+.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) a) c) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 9 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.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) a) c) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 d b) (*.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 (neg.f64 (fma.f64 (neg.f64 d) b (*.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))))) (fma.f64 (neg.f64 d) b (*.f64 c a))) |
(/.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 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (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 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 d b) (*.f64 c a))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) #s(literal 1 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) a) c) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 9 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) #s(literal 1 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) a) c) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (neg.f64 d) b (*.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 (fma.f64 (neg.f64 d) b (*.f64 c a)) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (+.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) a) c) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (-.f64 (*.f64 d b) (*.f64 c a))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 9 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (-.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) a) c) #s(literal 3 binary64))))) |
(/.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 d) b (*.f64 c a)))) |
(/.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 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64))) |
(/.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 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (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))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a)))) |
(fma.f64 (exp.f64 (log.f64 b)) d (*.f64 c a)) |
(fma.f64 (exp.f64 (log.f64 a)) c (*.f64 d b)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (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 (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (neg.f64 d) d))) |
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a))) |
(fma.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b))) |
(fma.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))))) |
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.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))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))))) |
(fma.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (-.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 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.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))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (neg.f64 d) d))) |
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b)) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a)) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b))) |
(*.f64 (exp.f64 (log.f64 a)) c) |
(*.f64 c (exp.f64 (log.f64 a))) |
(*.f64 c a) |
(*.f64 a c) |
(pow.f64 (*.f64 c a) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 c a)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 c a))) |
Compiled 11 205 to 1 059 computations (90.5% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 350 | 12 | 362 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 351 | 12 | 363 |
| Status | Accuracy | Program |
|---|---|---|
| 36.9% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) | |
| ▶ | 32.8% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| 39.1% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| 53.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) | |
| 43.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))) | |
| ▶ | 58.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
| ▶ | 49.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| 51.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) | |
| 38.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| ▶ | 44.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 39.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) | |
| ▶ | 40.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
Compiled 592 to 368 computations (37.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b d) | |
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 0 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 a c) (*.f64 b 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 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 a (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) | |
| 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 | (/.f64 b c) | |
| cost-diff | 0 | (fma.f64 (/.f64 b c) d a) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 b c) d a) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 220 |
| 0 | 48 | 214 |
| 1 | 61 | 214 |
| 2 | 67 | 214 |
| 3 | 70 | 214 |
| 0 | 70 | 208 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b c) |
b |
c |
d |
a |
#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 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
a |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
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 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 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)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b c) |
b |
c |
d |
a |
#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 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
a |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
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 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(+.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 |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 a c) | |
| accuracy | 0.7109333716604116 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| accuracy | 24.747278977891714 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| accuracy | 29.282297030622136 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| accuracy | 0.0 | (/.f64 a d) | |
| accuracy | 0.7553481899410343 | (/.f64 (fma.f64 (/.f64 a d) c b) d) | |
| accuracy | 2.4307487100601897 | (fma.f64 (/.f64 a d) c b) | |
| accuracy | 31.787745166085955 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) | |
| accuracy | 0.0078125 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 9.360297096770793 | (/.f64 a (fma.f64 d d (*.f64 c c))) | |
| accuracy | 10.23237432785557 | (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) | |
| accuracy | 25.36349785898598 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) | |
| accuracy | 0.0 | (/.f64 a c) | |
| accuracy | 35.385132746634504 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) | |
| accuracy | 0.0 | (/.f64 b c) | |
| accuracy | 0.9757957981495831 | (/.f64 (fma.f64 (/.f64 b c) d a) c) | |
| accuracy | 4.1632884209768815 | (fma.f64 (/.f64 b c) d a) | |
| accuracy | 25.625090906967593 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
| 47.0ms | 256× | 0 | valid |
Compiled 408 to 57 computations (86% saved)
ival-div: 11.0ms (39.1% of total)ival-mult: 11.0ms (39.1% of total)ival-add: 5.0ms (17.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b 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 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
(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 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(*.f64 a c) |
(*.f64 b d) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
| 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) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(/ a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ a d) |
(* b d) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) d) |
(* 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 d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -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 c) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a b) (/ d c))) |
(* 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 (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -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)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) c) |
(* 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 (pow d 2)) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(+ (* (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))) |
(pow d 2) |
(+ (pow c 2) (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) |
(/ (+ 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) |
(/ a (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(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))) |
(* c (+ a (/ (* 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)) |
(* -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)) |
(* -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))))) |
(+ (* 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)) |
(+ (* -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)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 4))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 6)) (/ a (pow c 4)))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 8))) (* -1 (/ a (pow c 6))))) (/ a (pow c 4)))) (/ a (pow c 2))) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ 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 (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a d) (/ b c))) |
(/ (+ (* -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)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* d (+ b (/ (* 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)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* c c) (* d d))) |
| 5.0ms | c | @ | 0 | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* c c) (* d d))) |
| 4.0ms | a | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* c c) (* d d))) |
| 3.0ms | a | @ | inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* c c) (* d d))) |
| 3.0ms | a | @ | 0 | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* d d) (* c c))) c) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* c c) (* d d))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 415 | 1714 |
| 1 | 1361 | 1667 |
| 2 | 4252 | 1620 |
| 0 | 8328 | 1543 |
| 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) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(/ a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ a d) |
(* b d) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) d) |
(* 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 d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -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 c) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a b) (/ d c))) |
(* 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 (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -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)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) c) |
(* 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 (pow d 2)) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(+ (* (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))) |
(pow d 2) |
(+ (pow c 2) (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) |
(/ (+ 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) |
(/ a (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(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))) |
(* c (+ a (/ (* 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)) |
(* -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)) |
(* -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))))) |
(+ (* 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)) |
(+ (* -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)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 4))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 6)) (/ a (pow c 4)))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 8))) (* -1 (/ a (pow c 6))))) (/ a (pow c 4)))) (/ a (pow c 2))) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ 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 (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a d) (/ b c))) |
(/ (+ (* -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)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* d (+ b (/ (* 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)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 (/.f64 b c) c) d) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 (/.f64 (/.f64 b c) c) d (/.f64 a c)) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(+ a (/ (* b d) c)) |
(fma.f64 (/.f64 d c) b a) |
(/ a c) |
(/.f64 a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) |
(/ a (+ (pow c 2) (pow d 2))) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 (/.f64 a d) d) c (/.f64 b d)) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(/ a d) |
(/.f64 a d) |
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(* a c) |
(*.f64 c a) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 d a) (/.f64 c (fma.f64 d d (*.f64 c c)))) a) |
(* 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 (/.f64 (*.f64 d b) c) a) a 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 c) d) |
(/.f64 (*.f64 c a) d) |
(* 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 (fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 d a) (/.f64 c (fma.f64 d d (*.f64 c c)))) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 b (*.f64 (/.f64 (/.f64 d (*.f64 c c)) a) a) (/.f64 a c)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(*.f64 (neg.f64 a) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 d b) c) a))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)) a) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 (fma.f64 d (/.f64 b a) c) a) |
(/ b c) |
(/.f64 b c) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) a (/.f64 d (fma.f64 d d (*.f64 c c)))) 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) |
(* 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)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) b) |
(* b (+ d (/ (* a c) b))) |
(*.f64 (fma.f64 c (/.f64 a b) d) b) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) a (/.f64 d (fma.f64 d d (*.f64 c c)))) b) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) b) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(fma.f64 a (*.f64 (/.f64 (/.f64 c (*.f64 d d)) b) b) (/.f64 b d)) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(*.f64 (*.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) #s(literal 1 binary64)) b) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 (fma.f64 c (/.f64 a b) d) b) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.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 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 (/.f64 a d) d)) c (/.f64 b d)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) c) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 d b (*.f64 c a)) c) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(fma.f64 (/.f64 (neg.f64 a) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (*.f64 (/.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)))) |
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (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 (/.f64 (/.f64 a d) d) c)) |
(/ a (pow d 2)) |
(/.f64 (/.f64 a d) d) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 a d) d)) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 a d) d)) |
(+ (* (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))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (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)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c 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 (*.f64 d (/.f64 d (neg.f64 c))) a (*.f64 d b)) c) a) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 d (/.f64 d (*.f64 c c)))) a) 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) |
(/.f64 (fma.f64 a (-.f64 (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 a)) (neg.f64 c)) |
(/ a (pow c 2)) |
(/.f64 (/.f64 a c) c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (*.f64 c c)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 d (/.f64 d (*.f64 c c)))) a) (*.f64 c 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)))) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 a (-.f64 (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 a)) (neg.f64 c)) c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (+.f64 (/.f64 (/.f64 b c) d) (/.f64 (/.f64 a d) d)) c) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(* c (+ a (/ (* b d) c))) |
(*.f64 (fma.f64 (/.f64 d c) b a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 d (/.f64 d (neg.f64 c))) a (*.f64 d b)) c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (*.f64 d a) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 d (/.f64 d (*.f64 c c)))) a) 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)) |
(/.f64 (fma.f64 a (-.f64 (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 a)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 b c) d) (/.f64 (/.f64 a d) d)) c) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 (fma.f64 (/.f64 d c) b a) c) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) (neg.f64 a) (/.f64 (/.f64 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 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (pow.f64 c #s(literal 3 binary64))))) d (/.f64 (/.f64 b c) c)) d (/.f64 a c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 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 (*.f64 (neg.f64 d) d) (/.f64 a (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)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 4))) (/ a (pow c 2))) |
(/.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (*.f64 c c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 6)) (/ a (pow c 4)))) (/ a (pow c 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 d d) (/.f64 a (pow.f64 c #s(literal 6 binary64)))) (/.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 (/.f64 a c) c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 8))) (* -1 (/ a (pow c 6))))) (/ a (pow c 4)))) (/ a (pow c 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 d) d) (/.f64 a (pow.f64 c #s(literal 8 binary64))) (/.f64 a (pow.f64 c #s(literal 6 binary64)))) (*.f64 d d)) (/.f64 a (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 (/.f64 a c) c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) d) d) |
(/ (+ (* a c) (* b d)) d) |
(/.f64 (fma.f64 d b (*.f64 c a)) d) |
(/ (+ 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 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 c a)) d) b) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/.f64 (*.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) d) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (/.f64 (*.f64 a (-.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))) 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 a (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.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 d d)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 a d) d)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d)))) a) d) d) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d)))) (fma.f64 (pow.f64 c #s(literal 6 binary64)) (/.f64 (neg.f64 a) (pow.f64 d #s(literal 6 binary64))) a)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 c a)) d) b) 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 c a (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 197 |
| 0 | 48 | 191 |
| 1 | 172 | 191 |
| 2 | 1212 | 191 |
| 0 | 8922 | 185 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b 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 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
(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 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(*.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)) |
(*.f64 (*.f64 (pow.f64 c #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64)) (*.f64 a a))) (pow.f64 (fma.f64 (/.f64 b c) d (neg.f64 a)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 c #s(literal -1 binary64)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 3 binary64)))) (pow.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 b c) d a))) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (pow.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal -1/2 binary64))) |
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(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 3 binary64))) (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (pow.f64 (*.f64 (/.f64 b c) d) #s(literal 2 binary64))) c)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (neg.f64 c)) |
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(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) c)) |
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(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) c) (*.f64 (*.f64 (/.f64 b c) d) (pow.f64 c #s(literal -1 binary64)))) |
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(fma.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 b c) d) (pow.f64 c #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 (/.f64 b c) d))) |
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 (/.f64 b c) d) (/.f64 a c)) |
(fma.f64 (pow.f64 c #s(literal -1 binary64)) a (*.f64 (*.f64 (/.f64 b c) d) (pow.f64 c #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 c #s(literal -1 binary64)) a (*.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 (/.f64 b c) d))) |
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (*.f64 (*.f64 (/.f64 b c) d) (pow.f64 c #s(literal -1 binary64)))) |
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(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 (/.f64 b c) d) (pow.f64 c #s(literal -1 binary64)))) |
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(fma.f64 (*.f64 (/.f64 b c) d) (pow.f64 c #s(literal -1 binary64)) (/.f64 a c)) |
(fma.f64 a (pow.f64 c #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 b c) d) (pow.f64 c #s(literal -1 binary64)))) |
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(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) c)) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 (/.f64 b c) d a))) #s(literal -1 binary64))) |
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(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))) (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (neg.f64 d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 d (fma.f64 (/.f64 a d) c b)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) d))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) d)) |
(fma.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 (/.f64 a d) c) (*.f64 (pow.f64 d #s(literal -1 binary64)) b)) |
(fma.f64 (pow.f64 d #s(literal -1 binary64)) b (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 (/.f64 a d) c))) |
(fma.f64 (*.f64 (/.f64 a d) c) (pow.f64 d #s(literal -1 binary64)) (*.f64 b (pow.f64 d #s(literal -1 binary64)))) |
(fma.f64 b (pow.f64 d #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 a d) c) (pow.f64 d #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 d (fma.f64 (/.f64 a d) c (neg.f64 b)))) (/.f64 (*.f64 b b) (*.f64 d (fma.f64 (/.f64 a d) c (neg.f64 b))))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) d)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 (/.f64 a d) c b))) #s(literal -1 binary64))) |
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(+.f64 (*.f64 b (pow.f64 d #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 a d) c) (pow.f64 d #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 (/.f64 a d) c)) (*.f64 (pow.f64 d #s(literal -1 binary64)) b)) |
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(*.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 b (*.f64 (/.f64 a d) c)))) |
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(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 a d) c b))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) (pow.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b)) |
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 (/.f64 a d) c) (fma.f64 (/.f64 a d) c (neg.f64 b)))))) |
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(*.f64 (fma.f64 (/.f64 a d) c b) #s(literal 1 binary64)) |
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(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)))) (neg.f64 (-.f64 b (*.f64 (/.f64 a d) c)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)))) (neg.f64 (fma.f64 (neg.f64 c) (/.f64 a d) b))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)))) (fma.f64 (/.f64 a d) c (neg.f64 b))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))))) (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c (neg.f64 b))) (*.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) (*.f64 b b))) (*.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) (fma.f64 (/.f64 a d) c (neg.f64 b)))) |
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) (-.f64 b (*.f64 (/.f64 a d) c))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b))) (fma.f64 (neg.f64 c) (/.f64 a d) b)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (*.f64 (*.f64 (/.f64 a d) c) (fma.f64 (/.f64 a d) c (neg.f64 b)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (/.f64 a d) c b) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) (neg.f64 (fma.f64 (neg.f64 c) (/.f64 a d) b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) (fma.f64 (/.f64 a d) c (neg.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (*.f64 (/.f64 a d) c)) (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (/.f64 a d) c b) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (*.f64 (*.f64 (/.f64 a d) c) (fma.f64 (/.f64 a d) c (neg.f64 b)))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 a d) c b) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))) (fma.f64 b b (*.f64 (*.f64 (/.f64 a d) c) (fma.f64 (/.f64 a d) c (neg.f64 b))))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))) (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 (/.f64 a d) c b))) |
(fma.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64)) (pow.f64 d #s(literal -1 binary64)) b) |
(fma.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 c d) b) |
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 a) d) b) |
(fma.f64 (/.f64 c d) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64))) b) |
(fma.f64 (/.f64 c d) a b) |
(fma.f64 (*.f64 (neg.f64 a) c) (/.f64 #s(literal -1 binary64) d) b) |
(fma.f64 #s(literal -1 binary64) (neg.f64 b) (*.f64 (/.f64 a d) c)) |
(fma.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 c (pow.f64 a #s(literal -1 binary64))) b) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 a d) c) b) |
(fma.f64 #s(literal 1 binary64) b (*.f64 (/.f64 a d) c)) |
(fma.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 a d) c (neg.f64 b))))) |
(fma.f64 (*.f64 c a) (pow.f64 d #s(literal -1 binary64)) b) |
(fma.f64 (/.f64 a d) c b) |
(fma.f64 b #s(literal 1 binary64) (*.f64 (/.f64 a d) c)) |
(fma.f64 c (/.f64 a d) b) |
(fma.f64 a (/.f64 c d) b) |
(fma.f64 a (*.f64 (pow.f64 d #s(literal -1 binary64)) c) b) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (*.f64 (/.f64 a d) c))) (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (-.f64 b (*.f64 (/.f64 a d) c)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 a d) c (neg.f64 b)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 a d) c b))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c (neg.f64 b))) (neg.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 a d) c (neg.f64 b))))) |
(+.f64 (*.f64 (/.f64 a d) c) b) |
(+.f64 b (*.f64 (/.f64 a d) c)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (pow.f64 (/.f64 d a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d a) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) d)) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) a) |
(*.f64 #s(literal 1 binary64) (/.f64 a d)) |
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 a (pow.f64 d #s(literal -1 binary64))) |
(pow.f64 (/.f64 d a) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 d a)) |
(/.f64 (neg.f64 a) (neg.f64 d)) |
(/.f64 a d) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) d))) |
(neg.f64 (/.f64 (neg.f64 a) d)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (neg.f64 a) d)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d a)) #s(literal -1 binary64))) |
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(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d b (*.f64 c a)))) |
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(*.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) |
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(*.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64)) |
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(/.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 a) c)))) |
(/.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 (neg.f64 (fma.f64 c a (*.f64 (neg.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 d) b))) |
(/.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 a) c)) (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 a) c)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
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(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal 1 binary64)) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
Compiled 25 506 to 2 534 computations (90.1% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 680 | 21 | 701 |
| Fresh | 5 | 2 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 688 | 25 | 713 |
| Status | Accuracy | Program |
|---|---|---|
| 32.8% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 39.1% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| 25.1% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 43.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d)) | |
| 50.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) | |
| ✓ | 58.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
| 56.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 (neg.f64 d) b) (/.f64 #s(literal -1 binary64) c) a) c)) | |
| 49.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) d)) c b) d)) | |
| 30.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) d))) | |
| 24.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) | |
| ▶ | 21.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
| ▶ | 38.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 44.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| ▶ | 44.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
| 41.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) | |
| 43.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) | |
| 21.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) | |
| 31.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 c c))) c)) | |
| ▶ | 58.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c))) |
| ▶ | 49.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
| 44.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) | |
| 23.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) | |
| 26.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) | |
| 42.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ a (+ (* d d) (* c c))) c) (/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)))) | |
| 20.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ a (+ (* d d) (* c c))) c) (/.f64 (*.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) d))) |
Compiled 1 353 to 830 computations (38.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 a d) c b) | |
| cost-diff | 0 | (neg.f64 (fma.f64 (/.f64 a d) c b)) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) | |
| cost-diff | 448 | (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d)) | |
| cost-diff | 0 | (/.f64 (*.f64 c a) d) | |
| cost-diff | 0 | #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) | |
| cost-diff | 0 | (/.f64 c a) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 c a)) | |
| 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 | (fma.f64 (/.f64 b c) d a) | |
| cost-diff | 0 | (neg.f64 (fma.f64 (/.f64 b c) d a)) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c))) | |
| cost-diff | 448 | (*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 247 |
| 0 | 56 | 247 |
| 1 | 91 | 243 |
| 2 | 184 | 231 |
| 3 | 539 | 231 |
| 4 | 1405 | 231 |
| 5 | 2899 | 231 |
| 6 | 3565 | 231 |
| 7 | 3843 | 231 |
| 8 | 3977 | 231 |
| 9 | 4031 | 231 |
| 10 | 4052 | 231 |
| 11 | 4276 | 231 |
| 12 | 4549 | 231 |
| 13 | 4765 | 231 |
| 14 | 4939 | 231 |
| 15 | 4989 | 231 |
| 16 | 5005 | 231 |
| 17 | 5005 | 231 |
| 18 | 5149 | 231 |
| 19 | 5617 | 231 |
| 20 | 6245 | 231 |
| 21 | 6431 | 231 |
| 22 | 6431 | 231 |
| 23 | 6431 | 231 |
| 24 | 6463 | 231 |
| 25 | 6495 | 231 |
| 26 | 6509 | 231 |
| 27 | 6529 | 231 |
| 28 | 6537 | 231 |
| 29 | 6537 | 231 |
| 0 | 6537 | 221 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c)) |
(neg.f64 (fma.f64 (/.f64 b c) d a)) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b c) |
b |
c |
d |
a |
(/.f64 #s(literal -1 binary64) c) |
#s(literal -1 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(literal 1 binary64) (/.f64 c a))) |
(/.f64 #s(literal 1 binary64) (/.f64 c a)) |
#s(literal 1 binary64) |
(/.f64 c a) |
c |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
(*.f64 c a) |
c |
a |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d)) |
(neg.f64 (fma.f64 (/.f64 a d) c b)) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
a |
d |
c |
b |
(/.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(neg.f64 (fma.f64 (/.f64 b c) d a)) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b c) |
b |
c |
d |
a |
(/.f64 #s(literal -1 binary64) c) |
#s(literal -1 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(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 #s(literal 1 binary64) (/.f64 c a)) |
(/.f64 a c) |
#s(literal 1 binary64) |
(/.f64 c a) |
c |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) |
#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) |
(/.f64 (*.f64 c a) d) |
(*.f64 (/.f64 a d) c) |
(*.f64 c a) |
c |
a |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(neg.f64 (fma.f64 (/.f64 a d) c b)) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
a |
d |
c |
b |
(/.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 (fma.f64 (/.f64 a d) c b)) | |
| accuracy | 0.8748206997094763 | (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d)) | |
| accuracy | 2.4307487100601897 | (fma.f64 (/.f64 a d) c b) | |
| accuracy | 31.787745166085955 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) | |
| accuracy | 0.7553481899410343 | (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) | |
| accuracy | 5.3354350239384125 | (/.f64 (*.f64 c a) d) | |
| accuracy | 30.323177490545852 | #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) | |
| accuracy | 31.787745166085955 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) | |
| accuracy | 0.0 | (/.f64 c a) | |
| accuracy | 0.23251391389084772 | (/.f64 #s(literal 1 binary64) (/.f64 c a)) | |
| accuracy | 35.385132746634504 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) | |
| accuracy | 0.0 | (/.f64 b d) | |
| accuracy | 39.49952188418395 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| accuracy | 0.0 | (neg.f64 (fma.f64 (/.f64 b c) d a)) | |
| accuracy | 1.0773582981495833 | (*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c)) | |
| accuracy | 4.1632884209768815 | (fma.f64 (/.f64 b c) d a) | |
| accuracy | 25.625090906967593 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c))) |
| 73.0ms | 256× | 0 | valid |
Compiled 446 to 71 computations (84.1% saved)
ival-div: 30.0ms (58.3% of total)ival-mult: 14.0ms (27.2% of total)ival-add: 5.0ms (9.7% of total)ival-neg: 2.0ms (3.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c))) |
(neg.f64 (fma.f64 (/.f64 b c) d a)) |
(fma.f64 (/.f64 b c) d a) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
(/.f64 #s(literal 1 binary64) (/.f64 c a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
(/.f64 c a) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
(*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
(neg.f64 (fma.f64 (/.f64 a d) c b)) |
(fma.f64 (/.f64 a d) c b) |
| Outputs |
|---|
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* b d) c)) |
(- (* -1 a) (/ (* b d) c)) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(/ a c) |
(/ c a) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* -1 b) |
(- (* -1 (/ (* a c) d)) b) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 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)))))) |
(* -1 a) |
(* a (- (* -1 (/ (* b d) (* a c))) 1)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b a) (/ c d))) |
(* -1 (/ (* a c) d)) |
(* a (- (* -1 (/ b a)) (/ c d))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ 1 (/ (* b d) (* a c))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (- (/ b a) (* -1 (/ c d))))) |
(- (* -1 (/ (* b d) c)) a) |
(- (* -1 b) (/ (* a c) d)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (- (* -1 (/ a b)) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (- (* -1 (/ (* a c) (* b d))) 1)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (- (/ a b) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ 1 (/ (* a c) (* b d))))) |
(/ (+ (* a c) (* b d)) (pow c 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)) |
(/ (- (* -1 (* a c)) (* b d)) c) |
(/ (+ (* a c) (* b d)) 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) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(* c (- (* -1 (/ b c)) (/ a d))) |
(* -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 (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (- (/ b c) (* -1 (/ a d))))) |
(+ (* 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) |
(/ (- (* -1 (* b d)) (* a c)) d) |
(* d (+ (/ a (* c d)) (/ b (pow c 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) |
(* d (- (* -1 (/ a d)) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 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 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (- (/ a d) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | a | @ | inf | ((* (neg (+ (* (/ b c) d) a)) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ b c) d) a)) (+ (* (/ b c) d) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (* (neg (+ (* (/ a d) c) b)) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ a d) c) b)) (+ (* (/ a d) c) b)) |
| 3.0ms | a | @ | -inf | ((* (neg (+ (* (/ b c) d) a)) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ b c) d) a)) (+ (* (/ b c) d) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (* (neg (+ (* (/ a d) c) b)) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ a d) c) b)) (+ (* (/ a d) c) b)) |
| 3.0ms | b | @ | -inf | ((* (neg (+ (* (/ b c) d) a)) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ b c) d) a)) (+ (* (/ b c) d) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (* (neg (+ (* (/ a d) c) b)) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ a d) c) b)) (+ (* (/ a d) c) b)) |
| 2.0ms | d | @ | 0 | ((* (neg (+ (* (/ b c) d) a)) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ b c) d) a)) (+ (* (/ b c) d) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (* (neg (+ (* (/ a d) c) b)) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ a d) c) b)) (+ (* (/ a d) c) b)) |
| 2.0ms | c | @ | -inf | ((* (neg (+ (* (/ b c) d) a)) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ b c) d) a)) (+ (* (/ b c) d) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (* (neg (+ (* (/ a d) c) b)) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ a d) c) b)) (+ (* (/ a d) c) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 292 | 1068 |
| 1 | 967 | 1058 |
| 2 | 3141 | 1018 |
| 3 | 6792 | 1018 |
| 0 | 8078 | 963 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* b d) c)) |
(- (* -1 a) (/ (* b d) c)) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(/ a c) |
(/ c a) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* -1 b) |
(- (* -1 (/ (* a c) d)) b) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 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)))))) |
(* -1 a) |
(* a (- (* -1 (/ (* b d) (* a c))) 1)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b a) (/ c d))) |
(* -1 (/ (* a c) d)) |
(* a (- (* -1 (/ b a)) (/ c d))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ 1 (/ (* b d) (* a c))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (- (/ b a) (* -1 (/ c d))))) |
(- (* -1 (/ (* b d) c)) a) |
(- (* -1 b) (/ (* a c) d)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (- (* -1 (/ a b)) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (- (* -1 (/ (* a c) (* b d))) 1)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (- (/ a b) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ 1 (/ (* a c) (* b d))))) |
(/ (+ (* a c) (* b d)) (pow c 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)) |
(/ (- (* -1 (* a c)) (* b d)) c) |
(/ (+ (* a c) (* b d)) 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) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(* c (- (* -1 (/ b c)) (/ a d))) |
(* -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 (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (- (/ b c) (* -1 (/ a d))))) |
(+ (* 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) |
(/ (- (* -1 (* b d)) (* a c)) d) |
(* d (+ (/ a (* c d)) (/ b (pow c 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) |
(* d (- (* -1 (/ a d)) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 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 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (- (/ a d) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
| Outputs |
|---|
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 (/.f64 b c) c) d) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
(* -1 (/ (* b d) c)) |
(*.f64 (neg.f64 d) (/.f64 b c)) |
(- (* -1 a) (/ (* b d) c)) |
(neg.f64 (fma.f64 (/.f64 b c) d a)) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(+ a (/ (* b d) c)) |
(fma.f64 (/.f64 b c) d a) |
(/ a c) |
(/.f64 a c) |
(/ c a) |
(/.f64 c a) |
(/ 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) |
(* -1 b) |
(neg.f64 b) |
(- (* -1 (/ (* a c) d)) b) |
(neg.f64 (fma.f64 (/.f64 a d) c b)) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 b (*.f64 (/.f64 (/.f64 (/.f64 d c) a) c) a) (/.f64 a c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 d a) (/.f64 c (fma.f64 d d (*.f64 c c)))) a) |
(* -1 a) |
(neg.f64 a) |
(* a (- (* -1 (/ (* b d) (* a c))) 1)) |
(*.f64 (fma.f64 (/.f64 d a) (/.f64 (neg.f64 b) c) #s(literal -1 binary64)) a) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 d b) c) a) a 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) |
(* -1 (/ (* a c) d)) |
(*.f64 (neg.f64 c) (/.f64 a d)) |
(* a (- (* -1 (/ b a)) (/ c d))) |
(*.f64 (neg.f64 (+.f64 (/.f64 c d) (/.f64 b a))) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 b (*.f64 (/.f64 (/.f64 (/.f64 d c) a) c) a) (/.f64 a c)) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 d a) (/.f64 c (fma.f64 d d (*.f64 c c)))) a) |
(* -1 (* a (+ 1 (/ (* b d) (* a c))))) |
(*.f64 (fma.f64 (/.f64 d a) (/.f64 (neg.f64 b) c) #s(literal -1 binary64)) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(fma.f64 (/.f64 (/.f64 (*.f64 d b) c) a) a a) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)) a) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a) |
(* -1 (* a (- (/ b a) (* -1 (/ c d))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 c d) (/.f64 b a))) a) |
(- (* -1 (/ (* b d) c)) a) |
(neg.f64 (fma.f64 (/.f64 b c) d a)) |
(- (* -1 b) (/ (* a c) d)) |
(neg.f64 (fma.f64 (/.f64 a d) c b)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 c b) (/.f64 d (fma.f64 d d (*.f64 c c)))) b) |
(* b (- (* -1 (/ a b)) (/ d c))) |
(*.f64 (neg.f64 (+.f64 (/.f64 d c) (/.f64 a b))) b) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) 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)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) b) |
(* b (- (* -1 (/ (* a c) (* b d))) 1)) |
(*.f64 (fma.f64 (/.f64 c b) (/.f64 (neg.f64 a) d) #s(literal -1 binary64)) b) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 c b) (/.f64 d (fma.f64 d d (*.f64 c c)))) b) |
(* -1 (* b (- (/ a b) (* -1 (/ d c))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 d c) (/.f64 a b))) b) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) b) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(fma.f64 a (*.f64 (/.f64 (/.f64 c (*.f64 d d)) b) b) (/.f64 b d)) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) b) |
(* -1 (* b (+ 1 (/ (* a c) (* b d))))) |
(*.f64 (fma.f64 (/.f64 c b) (/.f64 (neg.f64 a) d) #s(literal -1 binary64)) b) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) c) c) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (neg.f64 c) (*.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) b) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 (/.f64 a d) d)) c (/.f64 b d)) |
(/ (- (* -1 (* a c)) (* b d)) c) |
(neg.f64 (fma.f64 (/.f64 b c) d a)) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 a c (*.f64 d b)) 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) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 d) b (/.f64 (*.f64 (*.f64 a d) d) c)) c)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (*.f64 a d) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a d) d)) c) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(* c (- (* -1 (/ b c)) (/ a d))) |
(*.f64 (neg.f64 c) (+.f64 (/.f64 b c) (/.f64 a d))) |
(* -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)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 d) b (/.f64 (*.f64 (*.f64 a d) d) c)) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (*.f64 a d) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a d) d)) c) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(* -1 (* c (- (/ b c) (* -1 (/ a d))))) |
(*.f64 (neg.f64 c) (+.f64 (/.f64 b c) (/.f64 a d))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) (neg.f64 a) (/.f64 (/.f64 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 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (pow.f64 c #s(literal 3 binary64))))) d (/.f64 (/.f64 b c) c)) d (/.f64 a c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) d) d) |
(/ (+ (* a c) (* b d)) d) |
(/.f64 (fma.f64 a c (*.f64 d b)) d) |
(/ (- (* -1 (* b d)) (* a c)) d) |
(neg.f64 (fma.f64 (/.f64 a d) c b)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 (/.f64 b c) c)) 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) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) d)) d)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (+.f64 (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(* d (- (* -1 (/ a d)) (/ b c))) |
(*.f64 (neg.f64 d) (+.f64 (/.f64 b c) (/.f64 a d))) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 (/.f64 b c) c)) 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)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) d)) d)) 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 c b) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(* -1 (* d (- (/ a d) (* -1 (/ b c))))) |
(*.f64 (neg.f64 d) (+.f64 (/.f64 b c) (/.f64 a d))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 214 |
| 0 | 56 | 214 |
| 1 | 199 | 206 |
| 2 | 1349 | 198 |
| 0 | 8396 | 188 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c))) |
(neg.f64 (fma.f64 (/.f64 b c) d a)) |
(fma.f64 (/.f64 b c) d a) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
(/.f64 #s(literal 1 binary64) (/.f64 c a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
(/.f64 c a) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
(*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
(neg.f64 (fma.f64 (/.f64 a d) c b)) |
(fma.f64 (/.f64 a d) c b) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) #s(literal -1 binary64)) (pow.f64 c #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 d (/.f64 b c) a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) c) #s(literal -1 binary64)) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (fma.f64 d (/.f64 b c) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
(*.f64 (/.f64 (fma.f64 d (/.f64 b c) a) c) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (fma.f64 d (/.f64 b c) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 (fma.f64 d (/.f64 b c) a))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) c)) |
(*.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (fma.f64 d (/.f64 b c) a) (pow.f64 c #s(literal -1 binary64))) |
(pow.f64 (/.f64 c (fma.f64 d (/.f64 b c) a)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) c) (/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) c))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) c))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 b) c) d) (neg.f64 c)) (/.f64 (*.f64 (/.f64 (neg.f64 b) c) d) (neg.f64 c))) (*.f64 (/.f64 a c) (/.f64 a c))) (-.f64 (/.f64 (*.f64 (/.f64 (neg.f64 b) c) d) (neg.f64 c)) (/.f64 a c))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 (neg.f64 b) c) d)) (*.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 (neg.f64 b) c) d))) (*.f64 (/.f64 a c) (/.f64 a c))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 (neg.f64 b) c) d)) (/.f64 a c))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) c) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) c) (/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) c) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) c))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (neg.f64 b) c) d) (neg.f64 c)) #s(literal 3 binary64)) (pow.f64 (/.f64 a c) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 (neg.f64 b) c) d) (neg.f64 c)) (/.f64 (*.f64 (/.f64 (neg.f64 b) c) d) (neg.f64 c)) (-.f64 (*.f64 (/.f64 a c) (/.f64 a c)) (*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 b) c) d) (neg.f64 c)) (/.f64 a c))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 (neg.f64 b) c) d)) #s(literal 3 binary64)) (pow.f64 (/.f64 a c) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 (neg.f64 b) c) d)) (*.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 (neg.f64 b) c) d)) (-.f64 (*.f64 (/.f64 a c) (/.f64 a c)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 (neg.f64 b) c) d)) (/.f64 a c))))) |
(/.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (fma.f64 d (/.f64 b c) a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 d (/.f64 b c) a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 d (/.f64 b c) a)))) |
(/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) (neg.f64 c)) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) c)) |
(fma.f64 (*.f64 (/.f64 (neg.f64 b) c) d) (/.f64 #s(literal -1 binary64) c) (/.f64 a c)) |
(fma.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 (neg.f64 b) c) d) (/.f64 a c)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) c)) |
(-.f64 (/.f64 (*.f64 (/.f64 (neg.f64 b) c) d) (neg.f64 c)) (/.f64 a (neg.f64 c))) |
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 (neg.f64 b) c) d)) (neg.f64 (/.f64 a c))) |
(-.f64 (/.f64 a c) (/.f64 (*.f64 d (/.f64 b c)) (neg.f64 c))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) c)) |
(+.f64 (/.f64 (*.f64 (/.f64 (neg.f64 b) c) d) (neg.f64 c)) (/.f64 a c)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 (neg.f64 b) c) d)) (/.f64 a c)) |
(+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) a))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (*.f64 a a))) (pow.f64 (fma.f64 d (/.f64 b c) (neg.f64 a)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 a (-.f64 a (*.f64 d (/.f64 b c))) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (*.f64 a a)) (neg.f64 (pow.f64 (fma.f64 d (/.f64 b c) (neg.f64 a)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) (/.f64 b c) a))) |
(*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 a (-.f64 a (*.f64 d (/.f64 b c))) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a (*.f64 d (/.f64 b c))) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d (/.f64 b c) a))) |
(*.f64 #s(literal -1 binary64) (fma.f64 d (/.f64 b c) a)) |
(*.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 d (/.f64 b c) a) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64)) (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64))) (*.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64)) (*.f64 a #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64)) (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64)))) (-.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) (neg.f64 (fma.f64 d (/.f64 b c) a)))) (fma.f64 d (/.f64 b c) a)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 b) c) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a (-.f64 a (*.f64 d (/.f64 b c))) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (*.f64 (*.f64 d (/.f64 b c)) a)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64)) (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64)) (*.f64 a #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 a #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64)) (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64))) (*.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) (neg.f64 (fma.f64 d (/.f64 b c) a))) (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d (/.f64 b c) a)))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 d (/.f64 b c) a))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (*.f64 a a)))) (fma.f64 (neg.f64 d) (/.f64 b c) a)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 d (/.f64 b c))) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) #s(literal 2 binary64))) (fma.f64 d (/.f64 b c) a)) |
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) a (*.f64 d (/.f64 b c)))) |
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64))) (-.f64 (neg.f64 a) (*.f64 (/.f64 (neg.f64 b) c) d))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (*.f64 a a))) (neg.f64 (fma.f64 (neg.f64 d) (/.f64 b c) a))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (*.f64 a a))) (fma.f64 d (/.f64 b c) (neg.f64 a))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 3 binary64)))) (fma.f64 a a (-.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (*.f64 (neg.f64 a) (*.f64 (/.f64 (neg.f64 b) c) d))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a (*.f64 d (/.f64 b c))) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 3 binary64)))) (fma.f64 a (-.f64 a (*.f64 d (/.f64 b c))) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (neg.f64 d) (/.f64 b c) a)) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 3 binary64))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 d (/.f64 b c))) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d (/.f64 b c) a) (neg.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d (/.f64 b c) (neg.f64 a)) (neg.f64 (-.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (*.f64 d (/.f64 b c))) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64))) (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 d) (/.f64 b c) a) (-.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 a (-.f64 a (*.f64 d (/.f64 b c))) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) a))) |
(neg.f64 (fma.f64 d (/.f64 b c) a)) |
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 d c) (neg.f64 a)) |
(fma.f64 (/.f64 (neg.f64 b) c) d (neg.f64 a)) |
(fma.f64 (*.f64 (neg.f64 b) d) (pow.f64 c #s(literal -1 binary64)) (neg.f64 a)) |
(fma.f64 (neg.f64 b) (/.f64 d c) (neg.f64 a)) |
(fma.f64 (neg.f64 b) (*.f64 (pow.f64 c #s(literal -1 binary64)) d) (neg.f64 a)) |
(fma.f64 (neg.f64 d) (/.f64 b c) (neg.f64 a)) |
(fma.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64) (*.f64 a #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 a) (*.f64 (/.f64 (neg.f64 b) c) d)) |
(fma.f64 (*.f64 d b) (/.f64 #s(literal -1 binary64) c) (neg.f64 a)) |
(fma.f64 #s(literal -1 binary64) (*.f64 d (/.f64 b c)) (neg.f64 a)) |
(fma.f64 #s(literal -1 binary64) a (*.f64 (/.f64 (neg.f64 b) c) d)) |
(fma.f64 a #s(literal -1 binary64) (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64))) |
(fma.f64 d (/.f64 (neg.f64 b) c) (neg.f64 a)) |
(fma.f64 (/.f64 b c) (neg.f64 d) (neg.f64 a)) |
(fma.f64 b (neg.f64 (*.f64 (pow.f64 c #s(literal -1 binary64)) d)) (neg.f64 a)) |
(fma.f64 b (neg.f64 (/.f64 d c)) (neg.f64 a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 d (/.f64 b c) a)) (/.f64 (pow.f64 (fma.f64 d (/.f64 b c) a) #s(literal 2 binary64)) (fma.f64 d (/.f64 b c) a))) |
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(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64))) (-.f64 a (*.f64 d (/.f64 b c)))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 d (/.f64 b c) (neg.f64 a))) |
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(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 3 binary64))) (fma.f64 a (-.f64 a (*.f64 d (/.f64 b c))) (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) a)))) |
(neg.f64 (neg.f64 (fma.f64 d (/.f64 b c) a))) |
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(fma.f64 (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 d (/.f64 b c))) |
(fma.f64 (/.f64 d c) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))) a) |
(fma.f64 (*.f64 (neg.f64 b) d) (/.f64 #s(literal -1 binary64) c) a) |
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 d (pow.f64 b #s(literal -1 binary64))) a) |
(fma.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (pow.f64 (fma.f64 d (/.f64 b c) (neg.f64 a)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 d (/.f64 b c) (neg.f64 a))))) |
(fma.f64 (neg.f64 d) (/.f64 (neg.f64 b) c) a) |
(fma.f64 #s(literal 1 binary64) (*.f64 d (/.f64 b c)) a) |
(fma.f64 #s(literal 1 binary64) a (*.f64 d (/.f64 b c))) |
(fma.f64 (*.f64 d b) (pow.f64 c #s(literal -1 binary64)) a) |
(fma.f64 #s(literal -1 binary64) (neg.f64 a) (*.f64 d (/.f64 b c))) |
(fma.f64 a #s(literal 1 binary64) (*.f64 d (/.f64 b c))) |
(fma.f64 d (/.f64 b c) a) |
(fma.f64 (/.f64 b c) d a) |
(fma.f64 b (/.f64 d c) a) |
(fma.f64 b (*.f64 (pow.f64 c #s(literal -1 binary64)) d) a) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 d (/.f64 b c)))) (/.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (-.f64 a (*.f64 d (/.f64 b c))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (fma.f64 d (/.f64 b c) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 d (/.f64 b c) (neg.f64 a)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d (/.f64 b c) a))) |
(+.f64 (neg.f64 (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64))) (neg.f64 (*.f64 a #s(literal -1 binary64)))) |
(+.f64 (neg.f64 (*.f64 a #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 d (/.f64 b c)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 d (/.f64 b c)) #s(literal 2 binary64)) (fma.f64 d (/.f64 b c) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 d (/.f64 b c) (neg.f64 a))))) |
(+.f64 #s(literal 0 binary64) (fma.f64 d (/.f64 b c) a)) |
(+.f64 (*.f64 d (/.f64 b c)) a) |
(+.f64 a (*.f64 d (/.f64 b c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(*.f64 (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d b) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) b) |
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)) |
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d b)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) d)) |
(*.f64 b (pow.f64 d #s(literal -1 binary64))) |
(pow.f64 (/.f64 d b) #s(literal -1 binary64)) |
(/.f64 (neg.f64 b) (neg.f64 d)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d b))) |
(/.f64 b d) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) d))) |
(neg.f64 (/.f64 (neg.f64 b) d)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (neg.f64 b) d)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b) d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d b)) #s(literal -1 binary64))) |
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(pow.f64 (exp.f64 (log.f64 (/.f64 c a))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 c a) (/.f64 c a)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 a c) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 a c) #s(literal 1 binary64)) |
(pow.f64 (/.f64 c a) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 a c)) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 c #s(literal -1 binary64)))) |
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(/.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 (pow.f64 a #s(literal -1 binary64)))) |
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(neg.f64 (/.f64 a (neg.f64 c))) |
(neg.f64 (neg.f64 (/.f64 a c))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 a (neg.f64 c))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c a)) #s(literal -1 binary64))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(*.f64 (pow.f64 (/.f64 a c) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a c) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 a c) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 a c) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) c) |
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(pow.f64 (/.f64 a c) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 c) (neg.f64 a)) |
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(/.f64 #s(literal 1 binary64) (/.f64 a c)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a c))) |
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(neg.f64 (/.f64 (/.f64 c a) #s(literal -1 binary64))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (neg.f64 c) a)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c a) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 c) a)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 c a)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 c a)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a c)) #s(literal -1 binary64))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
(*.f64 (pow.f64 (/.f64 d #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c))) #s(literal -1/2 binary64))) |
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(*.f64 (pow.f64 d #s(literal -1 binary64)) #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c))) |
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(*.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
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(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) (neg.f64 d))) |
(pow.f64 (/.f64 d #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c))) (neg.f64 d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 d #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c))))) |
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(neg.f64 (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) (neg.f64 d))) |
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(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) (neg.f64 d))) |
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#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) |
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(*.f64 (/.f64 (neg.f64 a) d) (neg.f64 c)) |
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(*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 a c)) |
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(*.f64 (neg.f64 c) (/.f64 (neg.f64 a) d)) |
(*.f64 (*.f64 (/.f64 a d) c) #s(literal 1 binary64)) |
(*.f64 (/.f64 a d) c) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 a d) c)) |
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(/.f64 c (/.f64 d a)) |
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(pow.f64 (/.f64 d (fma.f64 (/.f64 a d) c b)) #s(literal -1 binary64)) |
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(/.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (neg.f64 d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 a d) c b))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (fma.f64 (/.f64 a d) c b)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) d)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) d)) |
(-.f64 (/.f64 (/.f64 (*.f64 (neg.f64 c) a) d) (neg.f64 d)) (/.f64 (neg.f64 b) d)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) d)) |
(-.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 a d) c) (neg.f64 d))) |
(+.f64 (/.f64 (/.f64 (*.f64 (neg.f64 c) a) d) (neg.f64 d)) (/.f64 b d)) |
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#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
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(*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (/.f64 a d) c b) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 a d) c b))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a d) c b)) |
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(/.f64 (+.f64 (pow.f64 (*.f64 b #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 a d) c) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b #s(literal -1 binary64)) (*.f64 b #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 a d) c) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 a d) c) #s(literal -1 binary64))) (*.f64 (*.f64 b #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 a d) c) #s(literal -1 binary64)))))) |
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b))) |
(neg.f64 (fma.f64 (/.f64 a d) c b)) |
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 c d) (neg.f64 b)) |
(fma.f64 (/.f64 (neg.f64 a) d) c (neg.f64 b)) |
(fma.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 (neg.f64 c) a) (neg.f64 b)) |
(fma.f64 (*.f64 (neg.f64 c) a) (pow.f64 d #s(literal -1 binary64)) (neg.f64 b)) |
(fma.f64 (neg.f64 c) (/.f64 a d) (neg.f64 b)) |
(fma.f64 (neg.f64 a) (/.f64 c d) (neg.f64 b)) |
(fma.f64 (neg.f64 a) (*.f64 (pow.f64 d #s(literal -1 binary64)) c) (neg.f64 b)) |
(fma.f64 (*.f64 (/.f64 a d) c) #s(literal -1 binary64) (*.f64 b #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 a c) (neg.f64 b)) |
(fma.f64 (/.f64 a d) (neg.f64 c) (neg.f64 b)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 c) a) d) (neg.f64 b)) |
(fma.f64 (*.f64 a c) (/.f64 #s(literal -1 binary64) d) (neg.f64 b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 a d) c) (neg.f64 b)) |
(fma.f64 #s(literal -1 binary64) b (/.f64 (*.f64 (neg.f64 c) a) d)) |
(fma.f64 a (neg.f64 (*.f64 (pow.f64 d #s(literal -1 binary64)) c)) (neg.f64 b)) |
(fma.f64 a (neg.f64 (/.f64 c d)) (neg.f64 b)) |
(fma.f64 c (/.f64 (neg.f64 a) d) (neg.f64 b)) |
(fma.f64 b #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 a d) c) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (/.f64 a d) c b)) (/.f64 (pow.f64 (fma.f64 (/.f64 a d) c b) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c b))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (/.f64 a d) c b) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 (/.f64 a d) c b) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (/.f64 a d) c b) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) (/.f64 a d) b)) (/.f64 (*.f64 b b) (fma.f64 (neg.f64 c) (/.f64 a d) b))) |
(-.f64 (/.f64 (*.f64 (neg.f64 c) a) d) b) |
(-.f64 (neg.f64 b) (*.f64 (/.f64 a d) c)) |
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 a d) c b)) |
(+.f64 (*.f64 (*.f64 (/.f64 a d) c) #s(literal -1 binary64)) (*.f64 b #s(literal -1 binary64))) |
(+.f64 (*.f64 b #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 a d) c) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (neg.f64 c) a) d) (neg.f64 b)) |
(+.f64 (neg.f64 b) (/.f64 (*.f64 (neg.f64 c) a) d)) |
(+.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 a d) c b))) |
(*.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 b (*.f64 (/.f64 a d) c)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 c) (/.f64 a d) b))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) (pow.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (/.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) (/.f64 (/.f64 d a) c))))) |
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))) (pow.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (/.f64 a d) c b) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 a d) c b))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c (neg.f64 b))) (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c (neg.f64 b)))) (*.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 a d) c (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 a d) c (neg.f64 b))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 a d) c (neg.f64 b))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 a d) c (neg.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c (neg.f64 b))) (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c (neg.f64 b))) (fma.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 a d) c (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 a d) c (neg.f64 b))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 a d) c (neg.f64 b))))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (/.f64 a d) c b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (fma.f64 (/.f64 a d) c b) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)))) (neg.f64 (-.f64 b (*.f64 (/.f64 a d) c)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)))) (fma.f64 (/.f64 a d) c (neg.f64 b))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c (neg.f64 b))) (*.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) (*.f64 b b))) (*.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) (fma.f64 (/.f64 a d) c (neg.f64 b)))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 (/.f64 a d) c b) #s(literal 2 binary64))) (neg.f64 (fma.f64 (/.f64 a d) c b))) |
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) (-.f64 b (*.f64 (/.f64 a d) c))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b))) (fma.f64 (neg.f64 c) (/.f64 a d) b)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (/.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) (/.f64 (/.f64 d a) c))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) (fma.f64 (/.f64 a d) c (neg.f64 b))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))) (fma.f64 b b (/.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) (/.f64 (/.f64 d a) c)))) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))) (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (*.f64 (/.f64 a d) c)) (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (/.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) (/.f64 (/.f64 d a) c))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b)))) |
(neg.f64 (neg.f64 (fma.f64 (/.f64 a d) c b))) |
(fma.f64 (pow.f64 (/.f64 (/.f64 d a) c) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 d a) c) #s(literal -1/2 binary64)) b) |
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) d) b) |
(fma.f64 (/.f64 c d) a b) |
(fma.f64 (/.f64 (neg.f64 a) d) (neg.f64 c) b) |
(fma.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 c (pow.f64 a #s(literal -1 binary64))) b) |
(fma.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 a c) #s(literal -1 binary64)) #s(literal -1 binary64)) b) |
(fma.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 a c) b) |
(fma.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 a d) c (neg.f64 b))))) |
(fma.f64 (*.f64 (neg.f64 c) a) (/.f64 #s(literal -1 binary64) d) b) |
(fma.f64 (neg.f64 c) (/.f64 (neg.f64 a) d) b) |
(fma.f64 (*.f64 (/.f64 a d) c) #s(literal 1 binary64) b) |
(fma.f64 (/.f64 a d) c b) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 a d) c) b) |
(fma.f64 #s(literal 1 binary64) b (*.f64 (/.f64 a d) c)) |
(fma.f64 (*.f64 a c) (pow.f64 d #s(literal -1 binary64)) b) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 c) a) d) b) |
(fma.f64 #s(literal -1 binary64) (neg.f64 b) (*.f64 (/.f64 a d) c)) |
(fma.f64 a (/.f64 c d) b) |
(fma.f64 a (*.f64 (pow.f64 d #s(literal -1 binary64)) c) b) |
(fma.f64 c (/.f64 a d) b) |
(fma.f64 b #s(literal 1 binary64) (*.f64 (/.f64 a d) c)) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (*.f64 (/.f64 a d) c))) (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (-.f64 b (*.f64 (/.f64 a d) c)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 a d) c (neg.f64 b)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 a d) c b))) |
(-.f64 b (/.f64 (*.f64 (neg.f64 c) a) d)) |
(+.f64 (neg.f64 (*.f64 (*.f64 (/.f64 a d) c) #s(literal -1 binary64))) (neg.f64 (*.f64 b #s(literal -1 binary64)))) |
(+.f64 (neg.f64 (*.f64 b #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 (/.f64 a d) c) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (fma.f64 (/.f64 a d) c (neg.f64 b))) (neg.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 a d) c (neg.f64 b))))) |
(+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 a d) c b)) |
(+.f64 (*.f64 (/.f64 a d) c) b) |
(+.f64 b (*.f64 (/.f64 a d) c)) |
Compiled 18 400 to 2 075 computations (88.7% saved)
28 alts after pruning (22 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 516 | 7 | 523 |
| Fresh | 3 | 15 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 520 | 28 | 548 |
| Status | Accuracy | Program |
|---|---|---|
| 32.8% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 39.1% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| 25.1% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 43.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d)) | |
| ▶ | 50.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
| ✓ | 58.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
| 49.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) d)) c b) d)) | |
| 30.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) d))) | |
| 24.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) | |
| ✓ | 21.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
| ▶ | 23.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
| 23.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) | |
| ✓ | 38.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 44.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| ▶ | 38.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
| ✓ | 44.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
| 41.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) | |
| 21.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) | |
| 31.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 c c))) c)) | |
| 44.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))) | |
| ✓ | 58.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c))) |
| ▶ | 24.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c))) |
| 23.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c))) (/.f64 #s(literal -1 binary64) d))) | |
| ▶ | 38.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
| 23.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) | |
| 26.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) | |
| 42.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ a (+ (* d d) (* c c))) c) (/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)))) | |
| 20.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ a (+ (* d d) (* c c))) c) (/.f64 (*.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) d))) |
Compiled 1 441 to 887 computations (38.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) | |
| cost-diff | 0 | (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c))) | |
| cost-diff | 448 | (*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c)) | |
| cost-diff | 0 | (*.f64 (/.f64 c d) a) | |
| cost-diff | 0 | #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) | |
| cost-diff | 0 | (/.f64 d b) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 d b)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) d) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) | |
| cost-diff | 448 | (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)) | |
| cost-diff | 0 | (/.f64 c d) | |
| cost-diff | 0 | (fma.f64 (/.f64 c d) a b) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 c d) a b) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 277 |
| 0 | 56 | 276 |
| 1 | 89 | 270 |
| 2 | 128 | 258 |
| 3 | 186 | 258 |
| 4 | 373 | 258 |
| 5 | 680 | 258 |
| 6 | 1420 | 258 |
| 7 | 2662 | 258 |
| 8 | 3382 | 258 |
| 9 | 3854 | 258 |
| 10 | 4031 | 258 |
| 11 | 4147 | 258 |
| 12 | 4320 | 258 |
| 13 | 4490 | 258 |
| 14 | 4586 | 258 |
| 15 | 4648 | 258 |
| 16 | 4648 | 258 |
| 17 | 4688 | 258 |
| 18 | 4704 | 258 |
| 19 | 4704 | 258 |
| 20 | 4720 | 258 |
| 21 | 4760 | 258 |
| 22 | 4776 | 258 |
| 0 | 4776 | 244 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(fma.f64 (/.f64 c d) a b) |
(/.f64 c d) |
c |
d |
a |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)) |
(neg.f64 b) |
b |
(/.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
#s(literal 1 binary64) |
(/.f64 d b) |
d |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d) |
#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) |
(*.f64 (/.f64 c d) a) |
(/.f64 c d) |
c |
d |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c))) |
(*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c)) |
(neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) |
#s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) |
(/.f64 (*.f64 d b) c) |
(*.f64 d b) |
d |
b |
c |
(/.f64 #s(literal -1 binary64) c) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(fma.f64 (/.f64 c d) a b) |
(/.f64 c d) |
c |
d |
a |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)) |
(/.f64 b d) |
(neg.f64 b) |
b |
(/.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(/.f64 b d) |
#s(literal 1 binary64) |
(/.f64 d b) |
d |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d) |
#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) |
#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) |
(*.f64 (/.f64 c d) a) |
(*.f64 (/.f64 a d) c) |
(/.f64 c d) |
c |
d |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) |
(*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c)) |
(/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c) |
(neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) |
(neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) |
#s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) |
#s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) |
(/.f64 (*.f64 d b) c) |
(*.f64 (/.f64 b c) d) |
(*.f64 d b) |
d |
b |
c |
(/.f64 #s(literal -1 binary64) c) |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0773582981495833 | (*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c)) | |
| accuracy | 5.037380596844319 | (/.f64 (*.f64 d b) c) | |
| accuracy | 25.625090906967593 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c))) | |
| accuracy | 32.19165662963644 | #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) | |
| accuracy | 0.7553481899410343 | (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d) | |
| accuracy | 4.146191551576013 | (*.f64 (/.f64 c d) a) | |
| accuracy | 30.323177490545852 | #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) | |
| accuracy | 31.787745166085955 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) | |
| accuracy | 0.0 | (/.f64 d b) | |
| accuracy | 0.22642884486196127 | (/.f64 #s(literal 1 binary64) (/.f64 d b)) | |
| accuracy | 39.49952188418395 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) d) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 0.18359375 | (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)) | |
| accuracy | 39.49952188418395 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) | |
| accuracy | 0.0 | (/.f64 c d) | |
| accuracy | 0.7553481899410343 | (/.f64 (fma.f64 (/.f64 c d) a b) d) | |
| accuracy | 1.957657265996032 | (fma.f64 (/.f64 c d) a b) | |
| accuracy | 31.787745166085955 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
| 74.0ms | 256× | 0 | valid |
Compiled 471 to 77 computations (83.7% saved)
ival-div: 28.0ms (53.9% of total)ival-mult: 16.0ms (30.8% of total)ival-add: 6.0ms (11.6% of total)ival-neg: 2.0ms (3.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(fma.f64 (/.f64 c d) a b) |
(/.f64 c d) |
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
(neg.f64 b) |
(/.f64 #s(literal -1 binary64) d) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
(/.f64 d b) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d) |
#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) |
(*.f64 (/.f64 c d) a) |
(*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c))) |
(neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) |
#s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) |
(/.f64 (*.f64 d b) c) |
| 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) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(* -1 (/ (* b d) c)) |
(- (* -1 a) (/ (* b d) c)) |
(/ (* 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) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b a) (/ c d))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* -1 a) |
(* a (- (* -1 (/ (* b d) (* a c))) 1)) |
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 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (+ 1 (/ (* b d) (* a c))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 b) |
(/ d b) |
(- (* -1 (/ (* b d) c)) a) |
(* 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 (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (- (* -1 (/ a b)) (/ d c))) |
(* 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 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (- (/ a b) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(+ (* 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 d) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (- (* -1 (* a c)) (* b d)) c) |
(/ (+ (* a c) (* b d)) 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) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b 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)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b 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)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(/ -1 d) |
(/ (+ 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 (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (- (* -1 (/ a d)) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* -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 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (- (/ a d) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | d | @ | inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* (neg b) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg b) (/ -1 d) (/ 1 (/ d b)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ c d) a) (* (neg (+ (* (/ b c) d) a)) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ b c) d) a)) (+ (* (/ b c) d) a) (/ (* d b) c)) |
| 6.0ms | b | @ | inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* (neg b) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg b) (/ -1 d) (/ 1 (/ d b)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ c d) a) (* (neg (+ (* (/ b c) d) a)) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ b c) d) a)) (+ (* (/ b c) d) a) (/ (* d b) c)) |
| 2.0ms | b | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* (neg b) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg b) (/ -1 d) (/ 1 (/ d b)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ c d) a) (* (neg (+ (* (/ b c) d) a)) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ b c) d) a)) (+ (* (/ b c) d) a) (/ (* d b) c)) |
| 2.0ms | d | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* (neg b) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg b) (/ -1 d) (/ 1 (/ d b)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ c d) a) (* (neg (+ (* (/ b c) d) a)) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ b c) d) a)) (+ (* (/ b c) d) a) (/ (* d b) c)) |
| 2.0ms | d | @ | 0 | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* (neg b) (/ -1 d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg b) (/ -1 d) (/ 1 (/ d b)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ c d) a) (* (neg (+ (* (/ b c) d) a)) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg (+ (* (/ b c) d) a)) (+ (* (/ b c) d) a) (/ (* d b) c)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 974 |
| 1 | 921 | 964 |
| 2 | 2997 | 921 |
| 3 | 7501 | 921 |
| 0 | 8662 | 866 |
| 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) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(* -1 (/ (* b d) c)) |
(- (* -1 a) (/ (* b d) c)) |
(/ (* 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) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b a) (/ c d))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* -1 a) |
(* a (- (* -1 (/ (* b d) (* a c))) 1)) |
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 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (+ 1 (/ (* b d) (* a c))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 b) |
(/ d b) |
(- (* -1 (/ (* b d) c)) a) |
(* 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 (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (- (* -1 (/ a b)) (/ d c))) |
(* 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 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (- (/ a b) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(+ (* 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 d) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (- (* -1 (* a c)) (* b d)) c) |
(/ (+ (* a c) (* b d)) 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) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b 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)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b 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)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(/ -1 d) |
(/ (+ 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 (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (- (* -1 (/ a d)) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* -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 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (- (/ a d) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
(/ 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) (pow c 2)) |
(*.f64 (/.f64 (/.f64 b c) c) d) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(* -1 (/ (* b d) c)) |
(*.f64 (neg.f64 d) (/.f64 b c)) |
(- (* -1 a) (/ (* b d) c)) |
(neg.f64 (fma.f64 (/.f64 b c) d a)) |
(/ (* b d) c) |
(*.f64 (/.f64 b c) d) |
(+ a (/ (* b d) c)) |
(fma.f64 (/.f64 b c) d a) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 d a) (/.f64 c (fma.f64 d d (*.f64 c 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 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) |
(/.f64 a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 b (*.f64 (/.f64 (/.f64 (/.f64 d c) a) c) a) (/.f64 a c)) |
(* -1 a) |
(neg.f64 a) |
(* a (- (* -1 (/ (* b d) (* a c))) 1)) |
(*.f64 (fma.f64 (/.f64 d a) (/.f64 (neg.f64 b) c) #s(literal -1 binary64)) a) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 b c) d) a) a a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 d a) (/.f64 c (fma.f64 d d (*.f64 c c)))) a) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)) a) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 b (*.f64 (/.f64 (/.f64 (/.f64 d c) a) c) a) (/.f64 a c)) |
(* -1 (* a (+ 1 (/ (* b d) (* a c))))) |
(*.f64 (fma.f64 (/.f64 d a) (/.f64 (neg.f64 b) c) #s(literal -1 binary64)) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(fma.f64 (/.f64 (*.f64 (/.f64 b c) d) a) a a) |
(* -1 b) |
(neg.f64 b) |
(/ d b) |
(/.f64 d b) |
(- (* -1 (/ (* b d) c)) a) |
(neg.f64 (fma.f64 (/.f64 b c) d a)) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 c b) (/.f64 d (fma.f64 d d (*.f64 c c)))) 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 (*.f64 (/.f64 a d) c) b) b b) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b) |
(* b (- (* -1 (/ a b)) (/ d c))) |
(*.f64 (neg.f64 (+.f64 (/.f64 d c) (/.f64 a 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 (fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 c b) (/.f64 d (fma.f64 d d (*.f64 c c)))) b) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(fma.f64 a (*.f64 (/.f64 (/.f64 c (*.f64 d d)) b) b) (/.f64 b d)) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 c d) #s(literal -1 binary64)) (neg.f64 b)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b) |
(* -1 (* b (- (/ a b) (* -1 (/ d c))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 d c) (/.f64 a b))) b) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) b) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 (/.f64 a d) d)) c (/.f64 b d)) |
(/ c d) |
(/.f64 c d) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) c) c) |
(/ (- (* -1 (* a c)) (* b d)) c) |
(neg.f64 (fma.f64 (/.f64 b c) d a)) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 d b (*.f64 c 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) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 d) b (/.f64 (*.f64 (*.f64 d a) d) c)) c)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (*.f64 d a) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* c (+ (/ a d) (/ b c))) |
(fma.f64 (/.f64 a d) c b) |
(* -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)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 d) b (/.f64 (*.f64 (*.f64 d a) d) c)) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (*.f64 d a) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(fma.f64 (/.f64 a d) c b) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (*.f64 (neg.f64 d) d) (/.f64 a (pow.f64 c #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (pow.f64 c #s(literal 3 binary64))))) d (/.f64 (/.f64 b c) c)) d (/.f64 a c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) d) d) |
(/ (+ (* a c) (* b d)) d) |
(/.f64 (fma.f64 d b (*.f64 c a)) d) |
(/ -1 d) |
(/.f64 #s(literal -1 binary64) 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) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 b c) c) d)) d)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 (/.f64 b c) c)) d) |
(* d (- (* -1 (/ a d)) (/ b c))) |
(*.f64 (neg.f64 d) (+.f64 (/.f64 b c) (/.f64 a d))) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) 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)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 b c) c) d)) d)) 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 c a (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 (/.f64 b c) c)) d) |
(* -1 (* d (- (/ a d) (* -1 (/ b c))))) |
(*.f64 (neg.f64 d) (+.f64 (/.f64 b c) (/.f64 a d))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 251 |
| 0 | 56 | 250 |
| 1 | 216 | 236 |
| 2 | 1304 | 232 |
| 0 | 8436 | 218 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(fma.f64 (/.f64 c d) a b) |
(/.f64 c d) |
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
(neg.f64 b) |
(/.f64 #s(literal -1 binary64) d) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
(/.f64 d b) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d) |
#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) |
(*.f64 (/.f64 c d) a) |
(*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c))) |
(neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) |
#s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) |
(/.f64 (*.f64 d b) c) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(*.f64 (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) d) (/.f64 (fma.f64 (/.f64 c d) a b) (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 d (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d (+.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) d) (pow.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) d) (pow.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) d))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 (/.f64 a d) c (neg.f64 b))))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (fma.f64 (/.f64 c d) a b)) |
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) d))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d)) |
(*.f64 (/.f64 (fma.f64 (/.f64 c d) a b) d) (/.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) (fma.f64 (/.f64 a d) c (neg.f64 b)))) |
(*.f64 (fma.f64 (/.f64 c d) a b) (pow.f64 d #s(literal -1 binary64))) |
(pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) d)) (fma.f64 (neg.f64 a) (/.f64 c d) b)) |
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) d)) (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) d) (fma.f64 (/.f64 a d) c (neg.f64 b))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) d) (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) d))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (*.f64 d (fma.f64 (/.f64 a d) c (neg.f64 b))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) d))) |
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(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 c d) a b) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (/.f64 c d) a b) #s(literal -1 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 (/.f64 c d) a b))) |
(fma.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 c d) b) |
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(*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)))) |
(*.f64 #s(literal -1 binary64) #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) (neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))))) #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) (neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)))) (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 2 binary64)))) (neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 2 binary64))) #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) |
(/.f64 (neg.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) (neg.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 3 binary64))))) |
(neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) |
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) (/.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 2 binary64)) #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) |
(+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)))) |
(*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) #s(literal -1 binary64)) |
(*.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)))) |
#s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 2 binary64)))) #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 3 binary64)))) (+.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 2 binary64))) (neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)))) |
(/.f64 (neg.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(neg.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)))) |
(+.f64 #s(literal 0 binary64) #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d))) |
(*.f64 (pow.f64 (/.f64 (/.f64 c d) b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 c d) b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) c)) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 d (pow.f64 b #s(literal -1 binary64)))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 d b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 d b)) |
(*.f64 (/.f64 d c) b) |
(*.f64 (neg.f64 d) (/.f64 (neg.f64 b) c)) |
(*.f64 (*.f64 (neg.f64 b) d) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (*.f64 (/.f64 b c) d) #s(literal 1 binary64)) |
(*.f64 (/.f64 b c) d) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 b c) d)) |
(*.f64 #s(literal -1 binary64) (*.f64 b (/.f64 (neg.f64 d) c))) |
(*.f64 (*.f64 d b) (pow.f64 c #s(literal -1 binary64))) |
(*.f64 d (/.f64 b c)) |
(*.f64 b (*.f64 (pow.f64 c #s(literal -1 binary64)) d)) |
(*.f64 b (/.f64 d c)) |
(pow.f64 (/.f64 (/.f64 c d) b) #s(literal -1 binary64)) |
(/.f64 (neg.f64 d) (/.f64 (neg.f64 c) b)) |
(/.f64 (*.f64 (neg.f64 b) d) (neg.f64 c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) b)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 c) b) d)) |
(/.f64 (*.f64 d b) c) |
(/.f64 d (/.f64 c b)) |
(/.f64 b (/.f64 c d)) |
(neg.f64 (*.f64 (*.f64 b (/.f64 (neg.f64 d) c)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 b (/.f64 (neg.f64 d) c))) |
(-.f64 #s(literal 0 binary64) (*.f64 b (/.f64 (neg.f64 d) c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 c d) b)) #s(literal -1 binary64))) |
Compiled 14 912 to 1 635 computations (89% saved)
29 alts after pruning (18 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 437 | 2 | 439 |
| Fresh | 1 | 16 | 17 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 438 | 29 | 467 |
| Status | Accuracy | Program |
|---|---|---|
| 32.8% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 39.1% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| 25.1% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 43.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d)) | |
| ✓ | 50.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
| ✓ | 58.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
| 49.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) d)) c b) d)) | |
| 30.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) d))) | |
| 24.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) | |
| 27.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) | |
| ✓ | 21.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
| 23.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 a (/.f64 d c))) d)) | |
| ✓ | 23.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
| ✓ | 38.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 44.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| ✓ | 38.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
| ✓ | 44.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
| 41.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) | |
| 21.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) | |
| 31.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 c c))) c)) | |
| 44.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))) | |
| ✓ | 58.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c))) |
| ✓ | 24.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c))) |
| 23.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c))) (/.f64 #s(literal -1 binary64) d))) | |
| ✓ | 38.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
| 23.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) | |
| 26.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) | |
| 42.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ a (+ (* d d) (* c c))) c) (/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)))) | |
| 20.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ a (+ (* d d) (* c c))) c) (/.f64 (*.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) d))) |
Compiled 2 007 to 705 computations (64.9% 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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) |
#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 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 a (/.f64 d c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c))) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) d)) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 (neg.f64 d) b) (/.f64 #s(literal -1 binary64) c) a) 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))) #s(approx (* (/ a (+ (* d d) (* c c))) c) (/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ a (+ (* d d) (* c c))) c) (/.f64 (*.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (fma.f64 (/.f64 a d) c (neg.f64 b)) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) 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))) (/.f64 (fma.f64 (/.f64 c d) a 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)) |
5 calls:
| 35.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 13.0ms | d |
| 12.0ms | a |
| 12.0ms | c |
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.3% | 4 | a |
| 68.6% | 3 | b |
| 88.6% | 5 | c |
| 84.0% | 4 | d |
| 75.8% | 3 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d 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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) |
#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 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 a (/.f64 d c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c))) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c))) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) d)) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 (neg.f64 d) b) (/.f64 #s(literal -1 binary64) c) a) c)) |
| 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 c d) a b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
1 calls:
| 10.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 3 | 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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) |
#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 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.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)) |
| 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)) |
1 calls:
| 7.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 3 | 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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) |
#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 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.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 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#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 #s(literal 1 binary64) (/.f64 c a))) |
3 calls:
| 26.0ms | c |
| 7.0ms | d |
| 6.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.9% | 3 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 70.3% | 3 | d |
| 74.9% | 4 | c |
Compiled 17 to 19 computations (-11.8% 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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) |
#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 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.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 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#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)) |
4 calls:
| 11.0ms | b |
| 10.0ms | c |
| 7.0ms | a |
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.5% | 3 | b |
| 60.5% | 3 | a |
| 67.8% | 5 | d |
| 69.1% | 4 | c |
Compiled 4 to 16 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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) |
#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)) |
| 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 (/.f64 a (fma.f64 d d (*.f64 c c))) 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:
| 5.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) |
| 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 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) 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:
| 4.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) 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 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) 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:
| 4.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 c c))) c)) |
| 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)) |
2 calls:
| 3.0ms | c |
| 3.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 3 | d |
| 64.7% | 3 | c |
Compiled 2 to 8 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:
| 2.0ms | a |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | d |
| 1.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.7% | 1 | b |
| 44.7% | 1 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 44.7% | 1 | a |
| 44.7% | 1 | d |
| 44.7% | 1 | c |
Compiled 19 to 27 computations (-42.1% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.063160390712359e+119 | 1.2530225993500723e+125 |
| 38.0ms | 1.3919571437569629e-157 | 4.549908281171623e-155 |
| 7.0ms | -9.273153868437945e-38 | -6.690645582079453e-38 |
| 13.0ms | -2.871909470598759e+95 | -2.5872528211020208e+92 |
| 56.0ms | 464× | 0 | valid |
Compiled 1 149 to 830 computations (27.8% saved)
ival-mult: 37.0ms (84.5% of total)ival-add: 4.0ms (9.1% of total)ival-div: 3.0ms (6.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 8.63820705701316e-74 | 1.1452225471523629e-60 |
| 14.0ms | -293844.9699121853 | -26.288339819865453 |
| 23.0ms | 288× | 0 | valid |
Compiled 882 to 594 computations (32.7% saved)
ival-mult: 7.0ms (59.1% of total)ival-div: 2.0ms (16.9% of total)ival-add: 2.0ms (16.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 8.63820705701316e-74 | 1.1452225471523629e-60 |
| 1.0ms | -293844.9699121853 | -26.288339819865453 |
Compiled 882 to 594 computations (32.7% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.1725011591604774e+98 | 5.385349759479482e+99 |
| 13.0ms | -1.284968823479813e-33 | -9.273153868437945e-38 |
| 7.0ms | -1.1052660383026604e+122 | -7.5327951758427695e+121 |
| 20.0ms | 304× | 0 | valid |
Compiled 913 to 630 computations (31% saved)
ival-mult: 8.0ms (63.9% of total)ival-add: 3.0ms (24% of total)ival-div: 2.0ms (16% of total)ival-true: 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 |
|---|---|---|
| 38.0ms | 1.1452225471523629e-60 | 9.201496364866538e-49 |
| 17.0ms | -9.953085590266865e-51 | -2.7528188908503494e-62 |
| 1.0ms | -1.1052660383026604e+122 | -7.5327951758427695e+121 |
| 43.0ms | 320× | 0 | valid |
Compiled 1 028 to 732 computations (28.8% saved)
ival-mult: 8.0ms (60.3% of total)ival-add: 3.0ms (22.6% of total)ival-div: 2.0ms (15.1% of total)ival-true: 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 |
|---|---|---|
| 1.0ms | 1.1452225471523629e-60 | 9.201496364866538e-49 |
| 1.0ms | -9.953085590266865e-51 | -2.7528188908503494e-62 |
| 5.0ms | -1.1052660383026604e+122 | -7.5327951758427695e+121 |
| 3.0ms | 48× | 0 | valid |
Compiled 1 028 to 732 computations (28.8% saved)
ival-mult: 1.0ms (49.1% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 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 |
|---|---|---|
| 1.0ms | 1.1452225471523629e-60 | 9.201496364866538e-49 |
| 16.0ms | -9.953085590266865e-51 | -2.7528188908503494e-62 |
| 23.0ms | -4.348675313184553e+22 | -293844.9699121853 |
| 28.0ms | 288× | 0 | valid |
Compiled 1 438 to 958 computations (33.4% saved)
ival-mult: 14.0ms (76.1% of total)ival-add: 3.0ms (16.3% of total)ival-div: 2.0ms (10.9% of total)ival-true: 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 |
|---|---|---|
| 1.0ms | 1.1452225471523629e-60 | 9.201496364866538e-49 |
| 1.0ms | -9.953085590266865e-51 | -2.7528188908503494e-62 |
| 16.0ms | -4.348675313184553e+22 | -293844.9699121853 |
| 9.0ms | 128× | 0 | valid |
Compiled 1 398 to 938 computations (32.9% saved)
ival-mult: 3.0ms (55.9% of total)ival-div: 1.0ms (18.6% of total)ival-add: 1.0ms (18.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.1452225471523629e-60 | 9.201496364866538e-49 |
| 4.0ms | -9.273153868437945e-38 | -6.690645582079453e-38 |
| 2.0ms | 32× | 0 | valid |
Compiled 550 to 410 computations (25.5% saved)
ival-mult: 1.0ms (71.9% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 856 |
| 1 | 121 | 856 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 c #s(literal -32000000000000001388073503187813954345289386398462057977336761258755738012469795550122360176640 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 -1628276512170007/23945242826029513411849172299223580994042798784118784 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 634025687370019/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 c #s(literal 31000000000000000813544153763014931388496020543611602061701215896929647189443315106235270038132770676159654024441942245376 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 -82000 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 1628326254899759/3618502788666131106986593281521497120414687020801267626233049500247285301248 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a 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 -82000 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 1628326254899759/3618502788666131106986593281521497120414687020801267626233049500247285301248 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 -109999999999999996080257556220808496275452899742105731403327572425174122805825530260934680775935562320511453437324209160192 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -7716728645107167/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 c #s(literal 135000000000000000447055019120075999268341747142682255449941937858973742328964285799440595254509568 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 #s(literal 1 binary64) (/.f64 c a)))))) |
(if (<=.f64 c #s(literal -109999999999999996080257556220808496275452899742105731403327572425174122805825530260934680775935562320511453437324209160192 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -5348853418762687/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 c #s(literal 3488469661520957/6582018229284824168619876730229402019930943462534319453394436096 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 (<=.f64 c #s(literal -88000000000000000533803830560761215597675752277023690397166040609389096224802567227824346362324142768438847726060465815552 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -5521397077432451/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) (if (<=.f64 c #s(literal 3488469661520957/6582018229284824168619876730229402019930943462534319453394436096 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 (<=.f64 c #s(literal -6800000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -8256483666814883/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) (if (<=.f64 c #s(literal 3488469661520957/6582018229284824168619876730229402019930943462534319453394436096 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 (<=.f64 c #s(literal -300000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -8256483666814883/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) (if (<=.f64 c #s(literal 3488469661520957/6582018229284824168619876730229402019930943462534319453394436096 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 (<=.f64 c #s(literal -933864470215151/11972621413014756705924586149611790497021399392059392 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 3488469661520957/6582018229284824168619876730229402019930943462534319453394436096 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 -32000000000000001388073503187813954345289386398462057977336761258755738012469795550122360176640 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 -1628276512170007/23945242826029513411849172299223580994042798784118784 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 634025687370019/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 c #s(literal 31000000000000000813544153763014931388496020543611602061701215896929647189443315106235270038132770676159654024441942245376 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 -32000000000000001388073503187813954345289386398462057977336761258755738012469795550122360176640 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 -1628276512170007/23945242826029513411849172299223580994042798784118784 binary64)) (/.f64 (+.f64 (*.f64 d b) (*.f64 a c)) (+.f64 (*.f64 d d) (*.f64 c c))) (if (<=.f64 c #s(literal 634025687370019/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 c #s(literal 31000000000000000813544153763014931388496020543611602061701215896929647189443315106235270038132770676159654024441942245376 binary64)) (/.f64 (+.f64 (*.f64 d b) (*.f64 a c)) (+.f64 (*.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 -82000 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 1628326254899759/3618502788666131106986593281521497120414687020801267626233049500247285301248 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a 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 -82000 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 1628326254899759/3618502788666131106986593281521497120414687020801267626233049500247285301248 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 -109999999999999996080257556220808496275452899742105731403327572425174122805825530260934680775935562320511453437324209160192 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -7716728645107167/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 c #s(literal 135000000000000000447055019120075999268341747142682255449941937858973742328964285799440595254509568 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 #s(literal 1 binary64) (/.f64 c a)))))) |
(if (<=.f64 c #s(literal -109999999999999996080257556220808496275452899742105731403327572425174122805825530260934680775935562320511453437324209160192 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -5348853418762687/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 c #s(literal 3488469661520957/6582018229284824168619876730229402019930943462534319453394436096 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 (<=.f64 c #s(literal -88000000000000000533803830560761215597675752277023690397166040609389096224802567227824346362324142768438847726060465815552 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -5521397077432451/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) (if (<=.f64 c #s(literal 3488469661520957/6582018229284824168619876730229402019930943462534319453394436096 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 (<=.f64 c #s(literal -6800000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -8256483666814883/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ a (+ (* d d) (* c c))) (/.f64 (/.f64 a d) d)) c)) (if (<=.f64 c #s(literal 3488469661520957/6582018229284824168619876730229402019930943462534319453394436096 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 (<=.f64 c #s(literal -300000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -8256483666814883/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* d d) (* c c)) (*.f64 d d))) c)) (if (<=.f64 c #s(literal 3488469661520957/6582018229284824168619876730229402019930943462534319453394436096 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 (<=.f64 c #s(literal -933864470215151/11972621413014756705924586149611790497021399392059392 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 3488469661520957/6582018229284824168619876730229402019930943462534319453394436096 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 197 |
| 0 | 48 | 191 |
| 1 | 172 | 191 |
| 2 | 1212 | 191 |
| 0 | 8922 | 185 |
| 0 | 415 | 1714 |
| 1 | 1361 | 1667 |
| 2 | 4252 | 1620 |
| 0 | 8328 | 1543 |
| 0 | 186 | 593 |
| 1 | 618 | 583 |
| 2 | 1892 | 559 |
| 3 | 5765 | 557 |
| 0 | 8305 | 512 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 088 to 331 computations (69.6% saved)
Compiled 1 814 to 282 computations (84.5% saved)
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