
Time bar (total: 7.8s)
| 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 20 to 12 computations (40% saved)
ival-mult: 12.0ms (69.4% of total)ival-add: 3.0ms (17.3% of total)ival-div: 1.0ms (5.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1.2s | 8256× | 0 | valid |
ival-mult: 659.0ms (81.2% of total)ival-add: 86.0ms (10.6% of total)ival-div: 56.0ms (6.9% of total)const: 8.0ms (1% of total)backward-pass: 3.0ms (0.4% of total)| 2× | egg-herbie |
| 2058× | fmm-def |
| 1696× | fnmadd-define |
| 1668× | fmsub-define |
| 1644× | fnmsub-define |
| 1110× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 203 |
| 1 | 152 | 195 |
| 2 | 269 | 195 |
| 3 | 551 | 195 |
| 4 | 1559 | 195 |
| 5 | 5126 | 195 |
| 6 | 7968 | 195 |
| 0 | 11 | 13 |
| 1 | 17 | 13 |
| 2 | 21 | 13 |
| 0 | 21 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| Outputs |
|---|
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Inputs |
|---|
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
(/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d))) |
(/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d))) |
(/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d))) |
(/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d)))) |
(neg (/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d)))) |
(neg (/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d)))) |
(neg (/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d)))) |
(neg (/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d))))) |
(/ (+ (* b c) (* a d)) (+ (* c c) (* d d))) |
(/ (+ (* c a) (* b d)) (+ (* a a) (* d d))) |
(/ (+ (* d c) (* b a)) (+ (* c c) (* a a))) |
(/ (+ (* a b) (* c d)) (+ (* b b) (* d d))) |
(/ (+ (* a c) (* d b)) (+ (* c c) (* b b))) |
(/ (+ (* a d) (* b c)) (+ (* d d) (* c c))) |
| Outputs |
|---|
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
(/ (fnmsub a c (* b d)) (fnmsub c c (* d d))) |
(/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d))) |
(/ (fmsub b d (* a c)) (fma c c (* d d))) |
(/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d))) |
(/ (fmsub b d (* a c)) (fnmsub c c (* d d))) |
(/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d))) |
(/ (fmsub b d (* a c)) (fma c c (* d d))) |
(/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d)))) |
(/ (fmsub b d (* a c)) (fnmsub c c (* d d))) |
(neg (/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d)))) |
(/ (fmsub b d (* a c)) (fnmsub c c (* d d))) |
(neg (/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d)))) |
(/ (fmsub b d (* a c)) (fma c c (* d d))) |
(neg (/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d)))) |
(/ (fmsub b d (* a c)) (fnmsub c c (* d d))) |
(neg (/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d))))) |
(/ (fmsub b d (* a c)) (fma c c (* d d))) |
(/ (+ (* b c) (* a d)) (+ (* c c) (* d d))) |
(/ (fma a d (* c b)) (fma c c (* d d))) |
(/ (+ (* c a) (* b d)) (+ (* a a) (* d d))) |
(/ (fnmsub a c (* b d)) (fnmsub a a (* d d))) |
(/ (+ (* d c) (* b a)) (+ (* c c) (* a a))) |
(/ (fma c d (* a b)) (fma a a (* c c))) |
(/ (+ (* a b) (* c d)) (+ (* b b) (* d d))) |
(/ (fma c d (* a b)) (fma b b (* d d))) |
(/ (+ (* a c) (* d b)) (+ (* c c) (* b b))) |
(/ (fma a c (* b d)) (fma b b (* c c))) |
(/ (+ (* a d) (* b c)) (+ (* d d) (* c c))) |
(/ (fma a d (* c b)) (fma c c (* d d))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 115 | 0 | - | 2 | (-3.330320107355414e-126 2.341026021682847e-292 -1.7160764890625263e-227 3.1751275067701798e-21) | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 2 | 0 | - | 0 | - | (+.f64 (*.f64 a c) (*.f64 b d)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 b d) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | (*.f64 c c) |
| 0 | 0 | - | 0 | - | (*.f64 d d) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 0 | 0 | - | 0 | - | a |
| 55.0ms | 512× | 0 | valid |
Compiled 119 to 35 computations (70.6% saved)
ival-mult: 16.0ms (64% of total)ival-add: 5.0ms (20% of total)ival-div: 3.0ms (12% of total)const: 1.0ms (4% of total)backward-pass: 0.0ms (0% of total)Compiled 19 to 11 computations (42.1% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.6% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 b d) |
| ✓ | cost-diff | 0 | (*.f64 a c) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 a c) (*.f64 b d)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 12× | fma-lowering-fma.f32 |
| 12× | fma-define |
| 12× | *-lowering-*.f32 |
| 12× | *-lowering-*.f64 |
| 12× | fma-lowering-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 41 |
| 1 | 17 | 41 |
| 2 | 21 | 41 |
| 0 | 21 | 41 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
(+ (* a c) (* b d)) |
(* a c) |
a |
c |
(* b d) |
b |
d |
(+ (* c c) (* d d)) |
(* c c) |
(* d d) |
| Outputs |
|---|
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(+ (* a c) (* b d)) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(* a c) |
(*.f64 a c) |
a |
c |
(* b d) |
(*.f64 b d) |
b |
d |
(+ (* c c) (* d d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(* c c) |
(*.f64 c c) |
(* d d) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 b d) |
| ✓ | accuracy | 100.0% | (*.f64 a c) |
| ✓ | accuracy | 99.2% | (+.f64 (*.f64 a c) (*.f64 b d)) |
| ✓ | accuracy | 58.1% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 27.0ms | 256× | 0 | valid |
Compiled 50 to 12 computations (76% saved)
ival-mult: 8.0ms (64.7% of total)ival-div: 2.0ms (16.2% of total)ival-add: 2.0ms (16.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* b d)> |
| Outputs |
|---|
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))> |
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a c)> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* a c)> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b d)> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* b d)> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | d | @ | -inf | (* b d) |
| 1.0ms | b | @ | inf | (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| 1.0ms | a | @ | 0 | (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| 1.0ms | a | @ | -inf | (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| 1.0ms | b | @ | 0 | (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| 1× | batch-egg-rewrite |
| 4386× | *-lowering-*.f32 |
| 4386× | *-lowering-*.f64 |
| 2458× | /-lowering-/.f32 |
| 2458× | /-lowering-/.f64 |
| 1470× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 25 |
| 1 | 53 | 25 |
| 2 | 484 | 25 |
| 3 | 6464 | 25 |
| 0 | 8370 | 25 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
(+ (* a c) (* b d)) |
(* a c) |
(* b d) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (*.f64 d d)))) |
(+.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (*.f64 d d)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d))))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 a c)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 b d))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 b d)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 a c))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))) (*.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 c (*.f64 c (*.f64 c c))))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 c c)) (*.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d))))) (-.f64 #s(literal 0 binary64) (*.f64 d d)))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d)))))))) (+.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 d d)))))) (-.f64 (*.f64 a c) (*.f64 b d))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 d d)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 a (*.f64 a (*.f64 c c))))) (neg.f64 (-.f64 (*.f64 b d) (*.f64 a c)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d)))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))) (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d)))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a c))) (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d))))) (*.f64 (*.f64 b d) (*.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))) (+.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d))))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a c))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b d) (*.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))) (-.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b d) (*.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) (+.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b (*.f64 d d))) (+.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 d d))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) (+.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 d d))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a c) (*.f64 b d))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a c) (*.f64 b d))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (-.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 a (*.f64 a (*.f64 c c))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(*.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))) |
(*.f64 (+.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))) |
(*.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))) (*.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))) |
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a c) (*.f64 b d))) |
(*.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(*.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 b d)) (*.f64 a c))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))) (+.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 d d))))) |
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 a (*.f64 a (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b d) (*.f64 a c)))) |
(*.f64 (/.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 d d))))) (+.f64 (*.f64 a c) (*.f64 b d))) |
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d)))))) (+.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (*.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))) (+.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (-.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (*.f64 a (*.f64 a (*.f64 c c))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d)))))) (-.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))) |
(*.f64 (/.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b (*.f64 b (*.f64 d d))))))) (+.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (+.f64 (*.f64 a c) (*.f64 b d))))) |
(*.f64 a c) |
(*.f64 c a) |
(*.f64 b d) |
(*.f64 d b) |
| 1× | egg-herbie |
| 5208× | *-lowering-*.f32 |
| 5208× | *-lowering-*.f64 |
| 2002× | /-lowering-/.f32 |
| 2002× | /-lowering-/.f64 |
| 1970× | --lowering--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 1338 |
| 1 | 627 | 1224 |
| 2 | 2060 | 1196 |
| 3 | 7317 | 1196 |
| 0 | 8605 | 1196 |
| 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)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 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)))) |
(/ (* 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 c 2) (pow d 2))) (/ (* b d) (* a (+ (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 c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (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)) |
(/ 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) |
(/ a 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) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* 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) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a 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)) |
(/ b 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) |
(/ b 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)) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 b d) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) a)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 b d) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) a)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 b d) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) a)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 b d) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) a)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 b d) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) a)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 b d) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) a)))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (*.f64 d d))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+.f64 (/.f64 b d) (/.f64 (/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 c c)) d)) d) d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(+.f64 (/.f64 b d) (*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (*.f64 c (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 b (*.f64 d d)) d)))))) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.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 (-.f64 (*.f64 b d) (/.f64 (+.f64 (*.f64 (*.f64 d d) a) (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) c)) c)) c)) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.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 (-.f64 (*.f64 b d) (/.f64 (+.f64 (*.f64 (*.f64 d d) a) (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) c)) c)) c)) c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 c a) b) (+.f64 (*.f64 c c) (*.f64 d d))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 c a) b) (+.f64 (*.f64 c c) (*.f64 d d))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 c a) b) (+.f64 (*.f64 c c) (*.f64 d d))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 c a) b) (+.f64 (*.f64 c c) (*.f64 d d))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 c a) b) (+.f64 (*.f64 c c) (*.f64 d d))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 c a) b) (+.f64 (*.f64 c c) (*.f64 d d))))) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+.f64 (/.f64 a c) (/.f64 (/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 (*.f64 d d) a) c)) c) c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(+.f64 (/.f64 a c) (*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (*.f64 d (-.f64 (/.f64 (*.f64 b d) (-.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 4 binary64)))) (/.f64 a (*.f64 c (*.f64 c c)))))))) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 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 (-.f64 (*.f64 c a) (/.f64 (+.f64 (*.f64 b (*.f64 c c)) (*.f64 c (*.f64 (/.f64 (*.f64 c c) d) a))) d)) d)) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 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 (-.f64 (*.f64 c a) (/.f64 (+.f64 (*.f64 b (*.f64 c c)) (*.f64 c (*.f64 (/.f64 (*.f64 c c) d) a))) d)) d)) d) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(+.f64 (*.f64 b d) (*.f64 c a)) |
(+ (* a c) (* b d)) |
(+.f64 (*.f64 b d) (*.f64 c a)) |
(+ (* a c) (* b d)) |
(+.f64 (*.f64 b d) (*.f64 c a)) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (+.f64 c (/.f64 (*.f64 b d) a))) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (+.f64 c (/.f64 (*.f64 b d) a))) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (+.f64 c (/.f64 (*.f64 b d) a))) |
(* a c) |
(*.f64 c a) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 a (+.f64 c (/.f64 (*.f64 b d) a))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 a (+.f64 c (/.f64 (*.f64 b d) a))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 a (+.f64 c (/.f64 (*.f64 b d) a))) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(+.f64 (*.f64 b d) (*.f64 c a)) |
(+ (* a c) (* b d)) |
(+.f64 (*.f64 b d) (*.f64 c a)) |
(+ (* a c) (* b d)) |
(+.f64 (*.f64 b d) (*.f64 c a)) |
(* a c) |
(*.f64 c a) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (+.f64 a (/.f64 (*.f64 b d) c))) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (+.f64 a (/.f64 (*.f64 b d) c))) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (+.f64 a (/.f64 (*.f64 b d) c))) |
(* a c) |
(*.f64 c a) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 c (+.f64 a (/.f64 (*.f64 b d) c))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 c (+.f64 a (/.f64 (*.f64 b d) c))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 c (+.f64 a (/.f64 (*.f64 b d) c))) |
(* a c) |
(*.f64 c a) |
(+ (* a c) (* b d)) |
(+.f64 (*.f64 b d) (*.f64 c a)) |
(+ (* a c) (* b d)) |
(+.f64 (*.f64 b d) (*.f64 c a)) |
(+ (* a c) (* b d)) |
(+.f64 (*.f64 b d) (*.f64 c a)) |
(* b d) |
(*.f64 b d) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (+.f64 d (/.f64 (*.f64 c a) b))) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (+.f64 d (/.f64 (*.f64 c a) b))) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (+.f64 d (/.f64 (*.f64 c a) b))) |
(* b d) |
(*.f64 b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (+.f64 d (/.f64 (*.f64 c a) b))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (+.f64 d (/.f64 (*.f64 c a) b))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (+.f64 d (/.f64 (*.f64 c a) b))) |
(* a c) |
(*.f64 c a) |
(+ (* a c) (* b d)) |
(+.f64 (*.f64 b d) (*.f64 c a)) |
(+ (* a c) (* b d)) |
(+.f64 (*.f64 b d) (*.f64 c a)) |
(+ (* a c) (* b d)) |
(+.f64 (*.f64 b d) (*.f64 c a)) |
(* b d) |
(*.f64 b d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (+.f64 b (/.f64 (*.f64 c a) d))) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (+.f64 b (/.f64 (*.f64 c a) d))) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (+.f64 b (/.f64 (*.f64 c a) d))) |
(* b d) |
(*.f64 b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (+.f64 b (/.f64 (*.f64 c a) d))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (+.f64 b (/.f64 (*.f64 c a) d))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (+.f64 b (/.f64 (*.f64 c a) d))) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
(* b d) |
(*.f64 b d) |
Compiled 12752 to 701 computations (94.5% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 356 | 10 | 366 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 357 | 10 | 367 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.0% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a c) (*.f64 b d)))) |
| 53.3% | (/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d) | |
| ▶ | 50.7% | (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) |
| 37.9% | (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| ▶ | 40.9% | (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 46.7% | (/.f64 b d) | |
| ▶ | 44.7% | (/.f64 a c) |
| ▶ | 57.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d)))) |
| 50.8% | (*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 c a) b) (+.f64 (*.f64 c c) (*.f64 d d))))) | |
| 52.8% | (*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 b d) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) a)))) |
Compiled 344 to 194 computations (43.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 c c) (*.f64 d d)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a c) (*.f64 b d)))) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 c c) (*.f64 d d)) |
| ✓ | cost-diff | 0 | (*.f64 b d) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ✓ | cost-diff | 0 | (*.f64 b d) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 b d) c) |
| ✓ | cost-diff | 0 | (+.f64 a (/.f64 (*.f64 b d) c)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) |
| ✓ | cost-diff | 0 | (/.f64 a c) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 c c) (*.f64 d d)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d)))) |
| 290× | *-lowering-*.f32 |
| 290× | *-lowering-*.f64 |
| 212× | times-frac |
| 210× | fma-define |
| 136× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 174 |
| 1 | 42 | 172 |
| 2 | 80 | 170 |
| 3 | 170 | 170 |
| 4 | 341 | 170 |
| 5 | 491 | 170 |
| 6 | 523 | 170 |
| 7 | 531 | 170 |
| 8 | 538 | 170 |
| 9 | 575 | 170 |
| 10 | 618 | 170 |
| 11 | 627 | 170 |
| 12 | 628 | 170 |
| 0 | 628 | 170 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) |
1 |
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) |
(+ (* c c) (* d d)) |
(* c c) |
c |
(* d d) |
d |
(+ (* a c) (* b d)) |
(* a c) |
a |
(* b d) |
b |
(/ a c) |
a |
c |
(/ (+ a (/ (* b d) c)) c) |
(+ a (/ (* b d) c)) |
a |
(/ (* b d) c) |
(* b d) |
b |
d |
c |
(/ (* b d) (+ (* c c) (* d d))) |
(* b d) |
b |
d |
(+ (* c c) (* d d)) |
(* c c) |
c |
(* d d) |
(/ (/ 1 (+ (* c c) (* d d))) (/ 1 (+ (* a c) (* b d)))) |
(/ 1 (+ (* c c) (* d d))) |
1 |
(+ (* c c) (* d d)) |
(* c c) |
c |
(* d d) |
d |
(/ 1 (+ (* a c) (* b d))) |
(+ (* a c) (* b d)) |
(* a c) |
a |
(* b d) |
b |
| Outputs |
|---|
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) |
(/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
1 |
#s(literal 1 binary64) |
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) |
(/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 c a) (*.f64 d b))) |
(+ (* c c) (* d d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(* c c) |
(*.f64 c c) |
c |
(* d d) |
(*.f64 d d) |
d |
(+ (* a c) (* b d)) |
(+.f64 (*.f64 c a) (*.f64 d b)) |
(* a c) |
(*.f64 c a) |
a |
(* b d) |
(*.f64 d b) |
b |
(/ a c) |
(/.f64 a c) |
a |
c |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (+.f64 a (*.f64 d (/.f64 b c))) c) |
(+ a (/ (* b d) c)) |
(+.f64 a (*.f64 d (/.f64 b c))) |
a |
(/ (* b d) c) |
(*.f64 d (/.f64 b c)) |
(* b d) |
(*.f64 d b) |
b |
d |
c |
(/ (* b d) (+ (* c c) (* d d))) |
(/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d))) |
(* b d) |
(*.f64 d b) |
b |
d |
(+ (* c c) (* d d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(* c c) |
(*.f64 c c) |
c |
(* d d) |
(*.f64 d d) |
(/ (/ 1 (+ (* c c) (* d d))) (/ 1 (+ (* a c) (* b d)))) |
(/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/ 1 (+ (* c c) (* d d))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) |
1 |
#s(literal 1 binary64) |
(+ (* c c) (* d d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(* c c) |
(*.f64 c c) |
c |
(* d d) |
(*.f64 d d) |
d |
(/ 1 (+ (* a c) (* b d))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c a) (*.f64 d b))) |
(+ (* a c) (* b d)) |
(+.f64 (*.f64 c a) (*.f64 d b)) |
(* a c) |
(*.f64 c a) |
a |
(* b d) |
(*.f64 d b) |
b |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ✓ | accuracy | 99.2% | (+.f64 (*.f64 a c) (*.f64 b d)) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a c) (*.f64 b d))) |
| ✓ | accuracy | 58.5% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a c) (*.f64 b d)))) |
| ✓ | accuracy | 100.0% | (*.f64 d d) |
| ✓ | accuracy | 100.0% | (*.f64 c c) |
| ✓ | accuracy | 100.0% | (*.f64 b d) |
| ✓ | accuracy | 72.5% | (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ✓ | accuracy | 100.0% | (*.f64 b d) |
| ✓ | accuracy | 100.0% | (+.f64 a (/.f64 (*.f64 b d) c)) |
| ✓ | accuracy | 97.7% | (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) |
| ✓ | accuracy | 91.6% | (/.f64 (*.f64 b d) c) |
| ✓ | accuracy | 100.0% | (/.f64 a c) |
| ✓ | accuracy | 100.0% | (*.f64 a c) |
| ✓ | accuracy | 99.2% | (+.f64 (*.f64 a c) (*.f64 b d)) |
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d)))) |
| ✓ | accuracy | 59.1% | (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d))) |
| 133.0ms | 256× | 0 | valid |
Compiled 199 to 22 computations (88.9% saved)
ival-div: 15.0ms (43.4% of total)ival-add: 9.0ms (26.1% of total)ival-mult: 9.0ms (26.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))> |
#<alt (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))> |
#<alt (+ (* c c) (* d d))> |
#<alt (* c c)> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (* b d)> |
#<alt (/ (* b d) (+ (* c c) (* d d)))> |
#<alt (/ (/ 1 (+ (* c c) (* d d))) (/ 1 (+ (* a c) (* b d))))> |
#<alt (/ 1 (+ (* c c) (* d d)))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* d d)> |
#<alt (/ 1 (+ (* a c) (* b d)))> |
| Outputs |
|---|
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ d b)> |
#<alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b))> |
#<alt (+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))> |
#<alt (+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))> |
#<alt (/ c a)> |
#<alt (* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))> |
#<alt (* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))> |
#<alt (* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))> |
#<alt (/ c a)> |
#<alt (* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))> |
#<alt (/ c a)> |
#<alt (+ (* -1 (/ (* b d) (pow a 2))) (/ c a))> |
#<alt (+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))> |
#<alt (+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))> |
#<alt (/ d b)> |
#<alt (* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))> |
#<alt (* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))> |
#<alt (* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))> |
#<alt (/ d b)> |
#<alt (* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))> |
#<alt (* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))> |
#<alt (* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))> |
#<alt (/ (+ (pow c 2) (pow d 2)) (* b d))> |
#<alt (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2)))) (+ (/ d b) (/ (pow c 2) (* b d))))> |
#<alt (+ (* a (- (/ (* a (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 3))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))> |
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4)))) (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))> |
#<alt (/ (+ (pow c 2) (pow d 2)) (* a c))> |
#<alt (/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a)> |
#<alt (/ (- (+ c (+ (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3))) (/ (pow d 2) c))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)> |
#<alt (/ (- (+ c (+ (* -1 (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a)> |
#<alt (/ (+ (pow c 2) (pow d 2)) (* a c))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 3))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* a (pow c 4))) (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) a)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))> |
#<alt (/ (+ (pow c 2) (pow d 2)) (* a c))> |
#<alt (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 2)))) (+ (/ c a) (/ (pow d 2) (* a c))))> |
#<alt (+ (* b (- (/ (* b (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 3))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))> |
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4)))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow c 3)))))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))> |
#<alt (/ (+ (pow c 2) (pow d 2)) (* b d))> |
#<alt (/ (+ d (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) (/ (pow c 2) d))) b)> |
#<alt (/ (- (+ d (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3))) (/ (pow c 2) d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b)> |
#<alt (/ (- (+ d (+ (* -1 (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d))) (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b)> |
#<alt (/ (+ (pow c 2) (pow d 2)) (* b d))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* b (pow d 3))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* b (pow d 4))) (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3))) b)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b))> |
#<alt (pow d 2)> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (pow c 2)> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (pow c 2)> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (pow c 2)> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (pow d 2)> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (pow d 2)> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ a c)> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (/ a c)> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
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#<alt (+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))> |
#<alt (+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))> |
#<alt (+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))> |
#<alt (/ 1 (* b d))> |
#<alt (/ (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)) d)> |
#<alt (/ (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))) d)> |
#<alt (/ (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))) d)> |
#<alt (/ 1 (* b d))> |
#<alt (* -1 (/ (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)) d))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d))> |
138 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | d | @ | inf | (/ (* b d) (+ (* c c) (* d d))) |
| 3.0ms | d | @ | 0 | (/ (+ a (/ (* b d) c)) c) |
| 2.0ms | a | @ | -inf | (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) |
| 1.0ms | b | @ | -inf | (/ (* b d) (+ (* c c) (* d d))) |
| 1.0ms | a | @ | inf | (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) |
| 1× | batch-egg-rewrite |
| 3678× | *-lowering-*.f32 |
| 3678× | *-lowering-*.f64 |
| 3364× | /-lowering-/.f32 |
| 3364× | /-lowering-/.f64 |
| 1864× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 113 |
| 1 | 134 | 109 |
| 2 | 1128 | 109 |
| 0 | 8566 | 109 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) |
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) |
(+ (* c c) (* d d)) |
(* c c) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* b d) |
(/ (* b d) (+ (* c c) (* d d))) |
(/ (/ 1 (+ (* c c) (* d d))) (/ 1 (+ (* a c) (* b d)))) |
(/ 1 (+ (* c c) (* d d))) |
(+ (* a c) (* b d)) |
(* a c) |
(* d d) |
(/ 1 (+ (* a c) (* b d))) |
| Outputs |
|---|
(+.f64 (/.f64 b (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a))) |
(+.f64 (/.f64 b (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d)) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(+.f64 (/.f64 b (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a)))) |
(+.f64 (/.f64 b (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))))) |
(+.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (*.f64 d d)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a)) (/.f64 b (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d))) |
(+.f64 (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 b (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a))) (/.f64 b (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) (/.f64 b (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d (-.f64 #s(literal 0 binary64) b))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 #s(literal 0 binary64) (*.f64 c a)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 #s(literal 0 binary64) (*.f64 c a))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d (-.f64 #s(literal 0 binary64) b)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))) (*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 c (*.f64 c (*.f64 c c))))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 c c)) (*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d))))) (-.f64 #s(literal 0 binary64) (*.f64 d d)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 c a) (*.f64 d b)))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 c c) (*.f64 d d))) #s(literal -1 binary64)) (*.f64 (log.f64 (+.f64 (*.f64 c a) (*.f64 d b))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 d (-.f64 #s(literal 0 binary64) b)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a)) (neg.f64 (/.f64 b (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d)))) |
(-.f64 (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) (neg.f64 (/.f64 b (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d)))) |
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c a) (*.f64 d b)))) (/.f64 (-.f64 (*.f64 d (-.f64 #s(literal 0 binary64) b)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (*.f64 c c))) (/.f64 (-.f64 (*.f64 d (-.f64 #s(literal 0 binary64) b)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(-.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b)))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d)) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(fma.f64 d (/.f64 b (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a))) |
(fma.f64 d (/.f64 b (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 b (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d))) |
(fma.f64 b (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a))) |
(fma.f64 b (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a))) |
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a) (/.f64 b (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d b) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d b) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(fma.f64 (*.f64 d (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a))) |
(fma.f64 (*.f64 d (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(fma.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) b (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a))) |
(fma.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) b (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(fma.f64 (/.f64 (*.f64 d b) (+.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a))) |
(fma.f64 (/.f64 (*.f64 d b) (+.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(fma.f64 (/.f64 (*.f64 d b) (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d))))) (-.f64 (*.f64 c c) (*.f64 d d)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a))) |
(fma.f64 (/.f64 (*.f64 d b) (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d))))) (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(neg.f64 (/.f64 (-.f64 (*.f64 d (-.f64 #s(literal 0 binary64) b)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 c a) (*.f64 d b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b))) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 c a) (*.f64 d b)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (*.f64 c c)) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b)))) (+.f64 (neg.f64 (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 d (*.f64 b (*.f64 d b)))))) |
(/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c a) (*.f64 d b)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 d (-.f64 #s(literal 0 binary64) b)) (*.f64 c a)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c a) (*.f64 d b)))) |
(/.f64 (-.f64 (*.f64 d (-.f64 #s(literal 0 binary64) b)) (*.f64 c a)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (*.f64 c c))) |
(/.f64 (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b))))) (-.f64 (*.f64 c a) (*.f64 d b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (*.f64 c c)) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 d (*.f64 b (*.f64 d b)))) (neg.f64 (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b))))) |
(/.f64 (/.f64 (-.f64 (*.f64 d (-.f64 #s(literal 0 binary64) b)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (*.f64 d b))) |
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(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 d (*.f64 b (*.f64 d b))))) (neg.f64 (neg.f64 (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b)))))) |
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(/.f64 (-.f64 (*.f64 d (-.f64 #s(literal 0 binary64) b)) (*.f64 c a)) #s(literal -1 binary64)) |
(/.f64 (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))) |
(/.f64 (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 a (*.f64 c (*.f64 d b)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))))) |
(/.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))) (-.f64 (*.f64 c a) (*.f64 d b))) |
(/.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (*.f64 d b)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (neg.f64 (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 a (*.f64 c (*.f64 d b))))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 d (*.f64 b (*.f64 d b)))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (*.f64 d b))) |
(/.f64 (*.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 d b) (*.f64 c a))) (-.f64 (*.f64 d b) (*.f64 c a))) |
(/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (*.f64 (-.f64 (*.f64 c a) (*.f64 d b)) (*.f64 d (*.f64 b (*.f64 d b))))) (*.f64 (-.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 c a) (*.f64 d b)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))))) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 d (*.f64 b (*.f64 d b))))) (-.f64 (*.f64 c a) (*.f64 d b))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 d (*.f64 b (*.f64 d b))))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (*.f64 d b)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 d b) (*.f64 c a)))) (neg.f64 (-.f64 (*.f64 d b) (*.f64 c a)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b)))) (+.f64 (*.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b)))) (*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b)))) (*.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))))) (+.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))))) |
(pow.f64 (+.f64 (*.f64 c a) (*.f64 d b)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c a) (*.f64 d b))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 c a) (*.f64 d b))) |
(*.f64 (+.f64 (*.f64 c a) (*.f64 d b)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (/.f64 (-.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 c a) (*.f64 d b)))) |
(*.f64 #s(literal -1 binary64) (-.f64 (*.f64 d (-.f64 #s(literal 0 binary64) b)) (*.f64 c a))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 d (-.f64 #s(literal 0 binary64) b)) (*.f64 c a)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 d (-.f64 #s(literal 0 binary64) b)) (*.f64 c a)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 a (*.f64 c (*.f64 d b))))))) |
(*.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c a) (*.f64 d b)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 d (*.f64 b (*.f64 d b)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (*.f64 d b)))) |
(*.f64 (*.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 d b) (*.f64 c a))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 d b) (*.f64 c a)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c a) (*.f64 d b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c a) (*.f64 d b))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c a) (*.f64 d b))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 d b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 d b)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c a) (*.f64 d b)))) |
(*.f64 (/.f64 (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))) #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 d b)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 c a) (*.f64 d b)) #s(literal 1/2 binary64))) |
(*.f64 c a) |
(*.f64 a c) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 d))) |
(pow.f64 d #s(literal 2 binary64)) |
(pow.f64 (*.f64 d d) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 2 binary64)) |
(*.f64 d d) |
(*.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c a) (*.f64 d b))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b))))) (+.f64 (*.f64 d (-.f64 #s(literal 0 binary64) b)) (*.f64 d b)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (*.f64 c (*.f64 a (*.f64 c a))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b))))) (*.f64 c a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b))))) (*.f64 d (-.f64 #s(literal 0 binary64) b)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 c a) (*.f64 d b))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c a) (*.f64 d b)))) |
(-.f64 (/.f64 (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (/.f64 (*.f64 a (*.f64 c (*.f64 d b))) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))))) |
(-.f64 (/.f64 (*.f64 c a) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b))))) (/.f64 (*.f64 d b) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c a) (*.f64 d b)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c a) (*.f64 d b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c a) (*.f64 d b))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 d (-.f64 #s(literal 0 binary64) b)) (*.f64 c a))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c a) (*.f64 d b))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) |
(/.f64 (-.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))))) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (*.f64 d b)) (+.f64 (neg.f64 (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 d (*.f64 b (*.f64 d b))))) |
(pow.f64 (+.f64 (*.f64 c a) (*.f64 d b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c a) (*.f64 d b))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 d b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c a) (*.f64 d b))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 (*.f64 c a) (*.f64 d b)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c a) (*.f64 d b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c a) (*.f64 d b))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c a) (*.f64 d b)))) |
(*.f64 (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))))) |
(*.f64 (-.f64 (*.f64 c a) (*.f64 d b)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 c a) (*.f64 d b)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 c a) (*.f64 d b)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b))))) (-.f64 (*.f64 c a) (*.f64 d b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c a) (*.f64 d b))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 5668× | *-lowering-*.f32 |
| 5668× | *-lowering-*.f64 |
| 2758× | +-lowering-+.f64 |
| 2758× | +-lowering-+.f32 |
| 2508× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 895 | 7606 |
| 1 | 3261 | 7036 |
| 0 | 8347 | 7036 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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)) |
(/ 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) |
(/ a 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) |
(+ (/ 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)) |
(/ b 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) |
(/ b 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)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
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(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a))) |
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(/ (- (+ d (+ (* -1 (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d))) (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b) |
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(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* b (pow d 3))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* b (pow d 4))) (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3))) b)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b)) |
(pow d 2) |
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(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
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(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
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(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
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(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
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(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ a c) |
(/ a c) |
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(/ a c) |
(/ a c) |
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(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
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(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
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(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (* b d) (pow c 2)) |
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(/ (* b d) (pow c 2)) |
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(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
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(/ (* b d) c) |
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a |
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(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
a |
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a |
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(* b (+ (/ a b) (/ d c))) |
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a |
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(/ (* b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
a |
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(+ a (/ (* b d) c)) |
a |
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(/ (* b d) c) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
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(* b d) |
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(* b d) |
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(* b d) |
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(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (pow c 2)) |
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))) |
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(/ b d) |
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(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d)) |
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(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d)) |
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(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
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(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
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(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
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(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
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(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
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(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
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(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (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 c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* 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) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ 1 (pow d 2)) |
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) |
(/ 1 (pow c 2)) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2)) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2)) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2)) |
(/ 1 (pow c 2)) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2)) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2)) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2)) |
(/ 1 (pow c 2)) |
(+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))) |
(/ 1 (pow d 2)) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2)) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(/ 1 (pow d 2)) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2)) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(/ 1 (* b d)) |
(+ (* -1 (/ (* a c) (* (pow b 2) (pow d 2)))) (/ 1 (* b d))) |
(+ (* a (- (/ (* a (pow c 2)) (* (pow b 3) (pow d 3))) (/ c (* (pow b 2) (pow d 2))))) (/ 1 (* b d))) |
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow c 2) (* (pow b 3) (pow d 3)))))) (/ c (* (pow b 2) (pow d 2))))) (/ 1 (* b d))) |
(/ 1 (* a c)) |
(/ (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)) a) |
(/ (- (+ (/ 1 c) (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (pow c 3)))) (/ (* b d) (* a (pow c 2)))) a) |
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 3) (pow c 4)))) (/ 1 c)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (pow c 3)))) (/ (* b d) (* a (pow c 2))))) a) |
(/ 1 (* a c)) |
(* -1 (/ (- (/ (* b d) (* a (pow c 2))) (/ 1 c)) a)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* a (pow c 3))) (/ (* b d) (pow c 2))) a)) (/ 1 c)) a)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* a (pow c 4))) (/ (* (pow b 2) (pow d 2)) (pow c 3))) a)) (/ (* b d) (pow c 2))) a)) (/ 1 c)) a)) |
(/ 1 (* b d)) |
(+ (* -1 (/ (* a c) (* (pow b 2) (pow d 2)))) (/ 1 (* b d))) |
(+ (* c (- (/ (* (pow a 2) c) (* (pow b 3) (pow d 3))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d))) |
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow a 2) (* (pow b 3) (pow d 3)))))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d))) |
(/ 1 (* a c)) |
(/ (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)) c) |
(/ (- (+ (/ 1 a) (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))) c) |
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))) c) |
(/ 1 (* a c)) |
(* -1 (/ (- (/ (* b d) (* (pow a 2) c)) (/ 1 a)) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* (pow a 3) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)) c)) |
(/ 1 (* a c)) |
(+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))) |
(+ (* b (- (/ (* b (pow d 2)) (* (pow a 3) (pow c 3))) (/ d (* (pow a 2) (pow c 2))))) (/ 1 (* a c))) |
(+ (* b (- (* b (- (* -1 (/ (* b (pow d 3)) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow d 2) (* (pow a 3) (pow c 3)))))) (/ d (* (pow a 2) (pow c 2))))) (/ 1 (* a c))) |
(/ 1 (* b d)) |
(/ (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)) b) |
(/ (- (+ (/ 1 d) (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 3)))) (/ (* a c) (* b (pow d 2)))) b) |
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 3) (pow d 4)))) (/ 1 d)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 3)))) (/ (* a c) (* b (pow d 2))))) b) |
(/ 1 (* b d)) |
(* -1 (/ (- (/ (* a c) (* b (pow d 2))) (/ 1 d)) b)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* b (pow d 3))) (/ (* a c) (pow d 2))) b)) (/ 1 d)) b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* b (pow d 4))) (/ (* (pow a 2) (pow c 2)) (pow d 3))) b)) (/ (* a c) (pow d 2))) b)) (/ 1 d)) b)) |
(/ 1 (* a c)) |
(+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))) |
(+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))) |
(+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))) |
(/ 1 (* b d)) |
(/ (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)) d) |
(/ (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))) d) |
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))) d) |
(/ 1 (* b d)) |
(* -1 (/ (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)) d)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d)) |
| Outputs |
|---|
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 d d))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+.f64 (/.f64 b d) (*.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))))) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(+.f64 (/.f64 b d) (*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (*.f64 c (-.f64 (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 b (*.f64 d (*.f64 d d)))))))) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 a (-.f64 (/.f64 (*.f64 b d) c) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 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 (-.f64 (/.f64 (*.f64 b d) c) (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 a (*.f64 d d)) (*.f64 c c)))) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 b d) c)) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 a (*.f64 d d)) c)) c)) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 b d) (/.f64 (+.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) c) (*.f64 a (*.f64 d d))) c)) (-.f64 #s(literal 0 binary64) c)) a) (-.f64 #s(literal 0 binary64) c)) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+.f64 (/.f64 a c) (*.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))))) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(+.f64 (/.f64 a c) (*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (*.f64 d (-.f64 (/.f64 (*.f64 b d) (neg.f64 (*.f64 (*.f64 c c) (*.f64 c c)))) (/.f64 a (*.f64 c (*.f64 c c)))))))) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 b (-.f64 (/.f64 (*.f64 a c) d) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 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 (-.f64 (/.f64 (*.f64 a c) d) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d)))) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)) d) b) (-.f64 #s(literal 0 binary64) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (*.f64 a c) (*.f64 b (/.f64 (*.f64 c c) d))) d)) (-.f64 #s(literal 0 binary64) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (*.f64 a c) (/.f64 (+.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) d) (*.f64 b (*.f64 c c))) d)) d)) (-.f64 #s(literal 0 binary64) d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 a c) b) (+.f64 (*.f64 d d) (*.f64 c c))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 a c) b) (+.f64 (*.f64 d d) (*.f64 c c))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 a c) b) (+.f64 (*.f64 d d) (*.f64 c c))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) |
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(/.f64 #s(literal 1 binary64) (*.f64 a c)) |
(+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 (*.f64 b d) (*.f64 (*.f64 a c) (*.f64 a c)))) |
(+ (* b (- (/ (* b (pow d 2)) (* (pow a 3) (pow c 3))) (/ d (* (pow a 2) (pow c 2))))) (/ 1 (* a c))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (*.f64 b (-.f64 (/.f64 (*.f64 b (*.f64 d d)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (/.f64 (/.f64 d (*.f64 a a)) (*.f64 c c))))) |
(+ (* b (- (* b (- (* -1 (/ (* b (pow d 3)) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow d 2) (* (pow a 3) (pow c 3)))))) (/ d (* (pow a 2) (pow c 2))))) (/ 1 (* a c))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (*.f64 b (-.f64 (*.f64 b (+.f64 (/.f64 (neg.f64 (*.f64 b (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 d d) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))) (/.f64 (/.f64 d (*.f64 a a)) (*.f64 c c))))) |
(/ 1 (* b d)) |
(/.f64 #s(literal 1 binary64) (*.f64 b d)) |
(/ (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)) b) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) (*.f64 b (*.f64 d d)))) b) |
(/ (- (+ (/ 1 d) (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 3)))) (/ (* a c) (* b (pow d 2)))) b) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) d) (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b)) (*.f64 d (*.f64 d d))) (/.f64 (*.f64 a c) (*.f64 b (*.f64 d d))))) b) |
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 3) (pow d 4)))) (/ 1 d)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 3)))) (/ (* a c) (* b (pow d 2))))) b) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 d d) (*.f64 d d)))) (-.f64 (/.f64 (*.f64 a c) (*.f64 b (*.f64 d d))) (/.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b)) (*.f64 d (*.f64 d d))))) b) |
(/ 1 (* b d)) |
(/.f64 #s(literal 1 binary64) (*.f64 b d)) |
(* -1 (/ (- (/ (* a c) (* b (pow d 2))) (/ 1 d)) b)) |
(/.f64 (+.f64 (/.f64 (*.f64 a c) (*.f64 b (*.f64 d d))) (/.f64 #s(literal -1 binary64) d)) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* b (pow d 3))) (/ (* a c) (pow d 2))) b)) (/ 1 d)) b)) |
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 a a) (*.f64 d (*.f64 d d)))) (/.f64 (*.f64 a c) (*.f64 d d))) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) d)) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* b (pow d 4))) (/ (* (pow a 2) (pow c 2)) (pow d 3))) b)) (/ (* a c) (pow d 2))) b)) (/ 1 d)) b)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 d (*.f64 d d)))) (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 a c) (*.f64 d d))) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) d)) (-.f64 #s(literal 0 binary64) b)) |
(/ 1 (* a c)) |
(/.f64 #s(literal 1 binary64) (*.f64 a c)) |
(+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 (*.f64 b d) (*.f64 (*.f64 a c) (*.f64 a c)))) |
(+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (*.f64 d (-.f64 (/.f64 (*.f64 d (*.f64 b b)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))) (/.f64 (/.f64 b (*.f64 a a)) (*.f64 c c))))) |
(+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (*.f64 d (-.f64 (*.f64 d (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 b (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))) (/.f64 d (*.f64 (*.f64 c c) (*.f64 c c))))) (*.f64 (/.f64 b (*.f64 a (*.f64 a a))) (/.f64 b (*.f64 c (*.f64 c c)))))) (/.f64 (/.f64 b (*.f64 a a)) (*.f64 c c))))) |
(/ 1 (* b d)) |
(/.f64 #s(literal 1 binary64) (*.f64 b d)) |
(/ (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)) d) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 a c) (*.f64 d (*.f64 b b)))) d) |
(/ (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))) d) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b (*.f64 b b))) (*.f64 d d))) (/.f64 (*.f64 a c) (*.f64 d (*.f64 b b)))) d) |
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))) d) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 d (*.f64 d d)) (pow.f64 b #s(literal 4 binary64))))) (-.f64 (/.f64 (*.f64 a c) (*.f64 d (*.f64 b b))) (/.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b (*.f64 b b))) (*.f64 d d)))) d) |
(/ 1 (* b d)) |
(/.f64 #s(literal 1 binary64) (*.f64 b d)) |
(* -1 (/ (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)) d)) |
(/.f64 (+.f64 (/.f64 (*.f64 a c) (*.f64 d (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) d)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 d (*.f64 b (*.f64 b b)))) (*.f64 a (/.f64 c (*.f64 b b)))) (-.f64 #s(literal 0 binary64) d)) (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) d)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d)) |
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))) (*.f64 d (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b (*.f64 b b)))) d)) (*.f64 a (/.f64 c (*.f64 b b)))) (-.f64 #s(literal 0 binary64) d)) (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) d)) |
Compiled 52442 to 3317 computations (93.7% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1862 | 13 | 1875 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1867 | 18 | 1885 |
| Status | Accuracy | Program |
|---|---|---|
| 20.1% | (/.f64 (/.f64 (*.f64 b d) c) c) | |
| 37.9% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (*.f64 a c))) | |
| 52.8% | (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) (+.f64 a (/.f64 b (/.f64 c d))))) | |
| ▶ | 53.3% | (/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d) |
| 53.1% | (/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c) | |
| ▶ | 37.9% | (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ✓ | 40.9% | (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ▶ | 19.1% | (/.f64 (*.f64 b d) (*.f64 c c)) |
| ▶ | 46.7% | (/.f64 b d) |
| ✓ | 44.7% | (/.f64 a c) |
| 46.1% | (/.f64 #s(literal 1 binary64) (/.f64 d b)) | |
| 52.3% | (/.f64 #s(literal 1 binary64) (/.f64 c (+.f64 a (/.f64 b (/.f64 c d))))) | |
| 44.1% | (/.f64 #s(literal 1 binary64) (/.f64 c a)) | |
| 39.6% | (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 c a) (*.f64 d (-.f64 (*.f64 d (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 b (*.f64 a a)))))) | |
| 31.9% | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 d d) a)) (*.f64 (/.f64 (*.f64 d d) a) (/.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 #s(literal 0 binary64) c)) (/.f64 (*.f64 b d) (*.f64 a a))) (-.f64 #s(literal 0 binary64) c)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) c))) | |
| ▶ | 42.7% | (+.f64 (/.f64 b d) (*.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))))) |
| 44.5% | (*.f64 (/.f64 #s(literal 1 binary64) c) a) | |
| 39.1% | (*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (/.f64 a (*.f64 d c)))) |
Compiled 578 to 346 computations (40.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 b d) |
| ✓ | cost-diff | 256 | (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) |
| ✓ | cost-diff | 256 | (*.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d))))) |
| ✓ | cost-diff | 256 | (+.f64 (/.f64 b d) (*.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))))) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 c c) (*.f64 d d)) |
| ✓ | cost-diff | 0 | (*.f64 c a) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (*.f64 b d) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 b d) (*.f64 c c)) |
| ✓ | cost-diff | 0 | (/.f64 b d) |
| ✓ | cost-diff | 0 | (*.f64 c a) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 c a) d) |
| ✓ | cost-diff | 0 | (+.f64 b (/.f64 (*.f64 c a) d)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d) |
| 2144× | sum5-define |
| 2028× | fma-define |
| 1940× | fma-lowering-fma.f32 |
| 1940× | fma-lowering-fma.f64 |
| 1884× | sum3-define |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 152 |
| 1 | 53 | 149 |
| 2 | 122 | 146 |
| 3 | 328 | 146 |
| 4 | 774 | 145 |
| 5 | 1603 | 142 |
| 6 | 2976 | 142 |
| 7 | 4875 | 140 |
| 0 | 8001 | 140 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ b (/ (* c a) d)) d) |
(+ b (/ (* c a) d)) |
b |
(/ (* c a) d) |
(* c a) |
c |
a |
d |
(/ b d) |
b |
d |
(/ (* b d) (* c c)) |
(* b d) |
b |
d |
(* c c) |
c |
(/ (* c a) (+ (* c c) (* d d))) |
(* c a) |
c |
a |
(+ (* c c) (* d d)) |
(* c c) |
(* d d) |
d |
(+ (/ b d) (* c (- (/ a (* d d)) (/ (* b c) (* d (* d d)))))) |
(/ b d) |
b |
d |
(* c (- (/ a (* d d)) (/ (* b c) (* d (* d d))))) |
c |
(- (/ a (* d d)) (/ (* b c) (* d (* d d)))) |
(/ a (* d d)) |
a |
(* d d) |
(/ (* b c) (* d (* d d))) |
(* b c) |
(* d (* d d)) |
| Outputs |
|---|
(/ (+ b (/ (* c a) d)) d) |
(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d) |
(+ b (/ (* c a) d)) |
(+.f64 b (/.f64 (*.f64 c a) d)) |
b |
(/ (* c a) d) |
(/.f64 (*.f64 c a) d) |
(* c a) |
(*.f64 c a) |
c |
a |
d |
(/ b d) |
(/.f64 b d) |
b |
d |
(/ (* b d) (* c c)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(* b d) |
(*.f64 b d) |
b |
d |
(* c c) |
(*.f64 c c) |
c |
(/ (* c a) (+ (* c c) (* d d))) |
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) |
(* c a) |
(*.f64 c a) |
c |
a |
(+ (* c c) (* d d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(* c c) |
(*.f64 c c) |
(* d d) |
(*.f64 d d) |
d |
(+ (/ b d) (* c (- (/ a (* d d)) (/ (* b c) (* d (* d d)))))) |
(+.f64 (/.f64 b d) (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 b c) d))) (*.f64 d d))) |
(/ b d) |
(/.f64 b d) |
b |
d |
(* c (- (/ a (* d d)) (/ (* b c) (* d (* d d))))) |
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 b c) d))) (*.f64 d d)) |
c |
(- (/ a (* d d)) (/ (* b c) (* d (* d d)))) |
(/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)) |
(/ a (* d d)) |
(/.f64 a (*.f64 d d)) |
a |
(* d d) |
(*.f64 d d) |
(/ (* b c) (* d (* d d))) |
(/.f64 (*.f64 c (/.f64 b (*.f64 d d))) d) |
(* b c) |
(*.f64 b c) |
(* d (* d d)) |
(*.f64 d (*.f64 d d)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 93.3% | (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) |
| ✓ | accuracy | 90.1% | (*.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d))))) |
| ✓ | accuracy | 89.3% | (/.f64 a (*.f64 d d)) |
| ✓ | accuracy | 80.3% | (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d))) |
| ✓ | accuracy | 100.0% | (*.f64 d d) |
| ✓ | accuracy | 100.0% | (*.f64 c c) |
| ✓ | accuracy | 100.0% | (*.f64 c a) |
| ✓ | accuracy | 71.4% | (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ✓ | accuracy | 100.0% | (*.f64 c c) |
| ✓ | accuracy | 100.0% | (*.f64 b d) |
| ✓ | accuracy | 80.2% | (/.f64 (*.f64 b d) (*.f64 c c)) |
| ✓ | accuracy | 100.0% | (/.f64 b d) |
| ✓ | accuracy | 100.0% | (+.f64 b (/.f64 (*.f64 c a) d)) |
| ✓ | accuracy | 100.0% | (*.f64 c a) |
| ✓ | accuracy | 99.5% | (/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d) |
| ✓ | accuracy | 92.7% | (/.f64 (*.f64 c a) d) |
| 86.0ms | 256× | 0 | valid |
Compiled 169 to 23 computations (86.4% saved)
ival-div: 25.0ms (53.7% of total)ival-mult: 17.0ms (36.5% of total)ival-add: 4.0ms (8.6% of total)ival-sub: 1.0ms (2.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ b (/ (* c a) d)) d)> |
#<alt (+ b (/ (* c a) d))> |
#<alt (/ (* c a) d)> |
#<alt (* c a)> |
#<alt (/ b d)> |
#<alt (/ (* b d) (* c c))> |
#<alt (* b d)> |
#<alt (* c c)> |
#<alt (/ (* c a) (+ (* c c) (* d d)))> |
#<alt (+ (* c c) (* d d))> |
#<alt (+ (/ b d) (* c (- (/ a (* d d)) (/ (* b c) (* d (* d d))))))> |
#<alt (* c (- (/ a (* d d)) (/ (* b c) (* d (* d d)))))> |
#<alt (- (/ a (* d d)) (/ (* b c) (* d (* d d))))> |
#<alt (* d d)> |
#<alt (/ (* b c) (* d (* d d)))> |
#<alt (/ a (* d d))> |
| Outputs |
|---|
#<alt (/ (* a c) (pow d 2))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ b d)> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (/ b d)> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (/ (* a c) d)> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt b> |
#<alt (* b (+ 1 (/ (* a c) (* b d))))> |
#<alt (* b (+ 1 (/ (* a c) (* b d))))> |
#<alt (* b (+ 1 (/ (* a c) (* b d))))> |
#<alt b> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
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#<alt (* b (- (/ a (* b (pow d 2))) (/ c (pow d 3))))> |
#<alt (* -1 (/ (* b c) (pow d 3)))> |
#<alt (* -1 (* b (- (* -1 (/ a (* b (pow d 2)))) (* -1 (/ c (pow d 3))))))> |
#<alt (* -1 (* b (- (* -1 (/ a (* b (pow d 2)))) (* -1 (/ c (pow d 3))))))> |
#<alt (* -1 (* b (- (* -1 (/ a (* b (pow d 2)))) (* -1 (/ c (pow d 3))))))> |
#<alt (/ a (pow d 2))> |
#<alt (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))> |
#<alt (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))> |
#<alt (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))> |
#<alt (* -1 (/ (* b c) (pow d 3)))> |
#<alt (* c (- (/ a (* c (pow d 2))) (/ b (pow d 3))))> |
#<alt (* c (- (/ a (* c (pow d 2))) (/ b (pow d 3))))> |
#<alt (* c (- (/ a (* c (pow d 2))) (/ b (pow d 3))))> |
#<alt (* -1 (/ (* b c) (pow d 3)))> |
#<alt (* -1 (* c (- (* -1 (/ a (* c (pow d 2)))) (* -1 (/ b (pow d 3))))))> |
#<alt (* -1 (* c (- (* -1 (/ a (* c (pow d 2)))) (* -1 (/ b (pow d 3))))))> |
#<alt (* -1 (* c (- (* -1 (/ a (* c (pow d 2)))) (* -1 (/ b (pow d 3))))))> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ (* b c) (pow d 3))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | c | @ | 0 | (/ (* c a) d) |
| 18.0ms | a | @ | -inf | (+ (/ b d) (* c (- (/ a (* d d)) (/ (* b c) (* d (* d d)))))) |
| 6.0ms | d | @ | -inf | (/ (+ b (/ (* c a) d)) d) |
| 2.0ms | c | @ | 0 | (+ (/ b d) (* c (- (/ a (* d d)) (/ (* b c) (* d (* d d)))))) |
| 1.0ms | a | @ | 0 | (+ (/ b d) (* c (- (/ a (* d d)) (/ (* b c) (* d (* d d)))))) |
| 1× | batch-egg-rewrite |
| 3932× | /-lowering-/.f32 |
| 3932× | /-lowering-/.f64 |
| 3728× | *-lowering-*.f32 |
| 3728× | *-lowering-*.f64 |
| 1706× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 118 |
| 1 | 154 | 109 |
| 2 | 1676 | 109 |
| 0 | 8785 | 109 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ b (/ (* c a) d)) d) |
(+ b (/ (* c a) d)) |
(/ (* c a) d) |
(* c a) |
(/ b d) |
(/ (* b d) (* c c)) |
(* b d) |
(* c c) |
(/ (* c a) (+ (* c c) (* d d))) |
(+ (* c c) (* d d)) |
(+ (/ b d) (* c (- (/ a (* d d)) (/ (* b c) (* d (* d d)))))) |
(* c (- (/ a (* d d)) (/ (* b c) (* d (* d d))))) |
(- (/ a (* d d)) (/ (* b c) (* d (* d d)))) |
(* d d) |
(/ (* b c) (* d (* d d))) |
(/ a (* d d)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 d (+.f64 b (/.f64 (*.f64 c a) d)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (/.f64 (*.f64 c a) d))) d) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 c a) d) (/.f64 d (*.f64 c a))) (-.f64 b (/.f64 (*.f64 c a) d))) d)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) d)) (/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 #s(literal 0 binary64) d))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 d (-.f64 b (/.f64 (*.f64 c a) d)))) (/.f64 (/.f64 (/.f64 (*.f64 c a) d) (/.f64 d (*.f64 c a))) (*.f64 d (-.f64 b (/.f64 (*.f64 c a) d))))) |
(neg.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 #s(literal 0 binary64) d))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (/.f64 (*.f64 c a) d))) d)) |
(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (/.f64 (*.f64 c a) d))) (-.f64 #s(literal 0 binary64) d)) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d)))) (*.f64 d (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (+.f64 b (/.f64 (*.f64 c a) d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (+.f64 b (/.f64 (*.f64 c a) d))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (+.f64 b (/.f64 (*.f64 c a) d)))))) |
(/.f64 (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 b (/.f64 (*.f64 c a) d))) (*.f64 d (-.f64 b (/.f64 (*.f64 c a) d)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (+.f64 b (/.f64 (*.f64 c a) d))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 d (+.f64 b (/.f64 (*.f64 c a) d))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a)))) d)) |
(/.f64 (*.f64 (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 b (/.f64 (*.f64 c a) d))) #s(literal 1 binary64)) (*.f64 (-.f64 b (/.f64 (*.f64 c a) d)) d)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (/.f64 (*.f64 c a) d)))) (neg.f64 (-.f64 #s(literal 0 binary64) d))) |
(/.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d))))) (neg.f64 (*.f64 d (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 b (/.f64 (*.f64 c a) d)))) (neg.f64 (*.f64 d (-.f64 b (/.f64 (*.f64 c a) d))))) |
(/.f64 (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)) d) |
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d)) (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a))))) |
(/.f64 (*.f64 (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 b (/.f64 (*.f64 c a) d))) (/.f64 #s(literal 1 binary64) d)) (-.f64 b (/.f64 (*.f64 c a) d))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a)))) d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 b (/.f64 (*.f64 c a) d))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 b (/.f64 (*.f64 c a) d)) d))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (/.f64 (*.f64 c a) d))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) d)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) d)) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d))) (neg.f64 (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 b (/.f64 (*.f64 c a) d))) (/.f64 #s(literal 1 binary64) d))) (neg.f64 (-.f64 b (/.f64 (*.f64 c a) d)))) |
(pow.f64 (/.f64 d (+.f64 b (/.f64 (*.f64 c a) d))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 d (+.f64 b (/.f64 (*.f64 c a) d))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d) (/.f64 (-.f64 b (/.f64 (*.f64 c a) d)) (-.f64 b (/.f64 (*.f64 c a) d)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (/.f64 (*.f64 c a) d))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 b (/.f64 (*.f64 c a) d))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (/.f64 (*.f64 c a) d))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a)))))) |
(*.f64 (pow.f64 (/.f64 d (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 b (/.f64 (*.f64 c a) d)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (/.f64 (*.f64 c a) d)))) |
(*.f64 (/.f64 (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a)))) d) (/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a)))))) |
(+.f64 b (/.f64 (*.f64 c a) d)) |
(+.f64 (/.f64 (*.f64 c a) d) b) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (/.f64 (*.f64 c a) d))) (/.f64 (/.f64 (/.f64 (*.f64 c a) d) (/.f64 d (*.f64 c a))) (-.f64 b (/.f64 (*.f64 c a) d)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 c a) d) (/.f64 d (*.f64 c a))) (-.f64 (/.f64 (*.f64 c a) d) b)) (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 c a) d) b))) |
(fma.f64 c (/.f64 a d) b) |
(fma.f64 a (/.f64 c d) b) |
(fma.f64 a (*.f64 c (/.f64 #s(literal 1 binary64) d)) b) |
(fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) d) b) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d)) b) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) d) b) |
(fma.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c a) b) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d)))) (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a))))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d)))) (+.f64 (/.f64 (/.f64 (*.f64 c a) d) (/.f64 d (*.f64 c a))) (-.f64 (*.f64 b b) (/.f64 b (/.f64 d (*.f64 c a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a)))) (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (/.f64 (*.f64 c a) d)) (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 b (/.f64 (*.f64 c a) d))))) |
(/.f64 (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 b (/.f64 (*.f64 c a) d))) (-.f64 b (/.f64 (*.f64 c a) d))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a)))) (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b (/.f64 (*.f64 c a) d)) (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 b (/.f64 (*.f64 c a) d)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d))))) (neg.f64 (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d))))) (neg.f64 (+.f64 (/.f64 (/.f64 (*.f64 c a) d) (/.f64 d (*.f64 c a))) (-.f64 (*.f64 b b) (/.f64 b (/.f64 d (*.f64 c a))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 b (/.f64 (*.f64 c a) d)))) (neg.f64 (-.f64 b (/.f64 (*.f64 c a) d)))) |
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 c a) d) (/.f64 d (*.f64 c a))) (*.f64 b b)) (-.f64 (/.f64 (*.f64 c a) d) b)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 b (/.f64 (*.f64 c a) d))))) (neg.f64 (neg.f64 (-.f64 b (/.f64 (*.f64 c a) d))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (*.f64 c a) d) (/.f64 d (*.f64 c a))) (*.f64 b b))) (neg.f64 (-.f64 (/.f64 (*.f64 c a) d) b))) |
(pow.f64 (/.f64 (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a)))) (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 b (/.f64 (*.f64 c a) d)) (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 b (/.f64 (*.f64 c a) d)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 c a) (*.f64 (*.f64 c a) (*.f64 c a))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 d (*.f64 c a)))))) |
(*.f64 (*.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (-.f64 b (/.f64 (*.f64 c a) d))) (/.f64 #s(literal 1 binary64) (-.f64 b (/.f64 (*.f64 c a) d)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 c a))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) d)) (/.f64 (*.f64 c a) (-.f64 #s(literal 0 binary64) d))) |
(neg.f64 (/.f64 (*.f64 c a) (-.f64 #s(literal 0 binary64) d))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) d)) |
(/.f64 (*.f64 c a) d) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (-.f64 #s(literal 0 binary64) d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (*.f64 c a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (*.f64 c a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 c a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 d (*.f64 c a)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64)) d) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) (neg.f64 (-.f64 #s(literal 0 binary64) d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) d)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) d)))) |
(pow.f64 (/.f64 d (*.f64 c a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 d (*.f64 c a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 c (/.f64 a d)) |
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(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 d d) a)) (*.f64 (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d))) (/.f64 (-.f64 a (neg.f64 (/.f64 (*.f64 b c) d))) (*.f64 d d))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 b c) d) (/.f64 (*.f64 b c) d))) (*.f64 d (*.f64 d (*.f64 d d)))))) (neg.f64 (neg.f64 (/.f64 (-.f64 a (neg.f64 (/.f64 (*.f64 b c) d))) (*.f64 d d))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 a (*.f64 d (*.f64 d d))) (*.f64 (*.f64 d d) (*.f64 b c))) (*.f64 d d))) (-.f64 #s(literal 0 binary64) (*.f64 d (*.f64 d d)))) |
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)) (*.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)) (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)))) (pow.f64 (+.f64 (*.f64 (neg.f64 (/.f64 c (*.f64 d (*.f64 d d)))) b) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)) (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d))) (-.f64 (*.f64 (+.f64 (*.f64 (neg.f64 (/.f64 c (*.f64 d (*.f64 d d)))) b) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (+.f64 (*.f64 (neg.f64 (/.f64 c (*.f64 d (*.f64 d d)))) b) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d))))) (*.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)) (+.f64 (*.f64 (neg.f64 (/.f64 c (*.f64 d (*.f64 d d)))) b) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))))))) |
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)) (*.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)) (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)))) (pow.f64 (+.f64 (*.f64 (neg.f64 (/.f64 c (*.f64 d d))) (/.f64 b d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)) (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d))) (-.f64 (*.f64 (+.f64 (*.f64 (neg.f64 (/.f64 c (*.f64 d d))) (/.f64 b d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (+.f64 (*.f64 (neg.f64 (/.f64 c (*.f64 d d))) (/.f64 b d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d))))) (*.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)) (+.f64 (*.f64 (neg.f64 (/.f64 c (*.f64 d d))) (/.f64 b d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))))))) |
(/.f64 (+.f64 (*.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)) (*.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)) (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)))) (pow.f64 (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d d)))) (*.f64 b c)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)) (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d))) (-.f64 (*.f64 (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d d)))) (*.f64 b c)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d d)))) (*.f64 b c)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d))))) (*.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) (*.f64 d d)) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d d)))) (*.f64 b c)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))))))) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))) (*.f64 (/.f64 a (*.f64 d d)) (/.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 d d) a)))) (+.f64 (/.f64 (*.f64 (*.f64 b c) (/.f64 (*.f64 b c) d)) (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (-.f64 (/.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 d d) a)) (*.f64 (/.f64 (*.f64 b c) (-.f64 #s(literal 0 binary64) (*.f64 d (*.f64 d d)))) (/.f64 a (*.f64 d d)))))) |
(pow.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (-.f64 (*.f64 a (*.f64 d (*.f64 d d))) (*.f64 (*.f64 d d) (*.f64 b c)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 d d) a)) (*.f64 (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d))) (/.f64 (-.f64 a (neg.f64 (/.f64 (*.f64 b c) d))) (*.f64 d d)))) (/.f64 (-.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 a (neg.f64 (/.f64 (*.f64 b c) d))) (*.f64 d d)) (/.f64 (-.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 b c) d) (/.f64 (*.f64 b c) d))) (*.f64 d (*.f64 d (*.f64 d d))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 a (*.f64 d (*.f64 d d))) (*.f64 (*.f64 d d) (*.f64 b c))) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 d d) a)) (*.f64 (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d))) (/.f64 (-.f64 a (neg.f64 (/.f64 (*.f64 b c) d))) (*.f64 d d)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 b c) d) (/.f64 (*.f64 b c) d))) (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (neg.f64 (/.f64 (*.f64 b c) d))) (*.f64 d d)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 d))) |
(pow.f64 d #s(literal 2 binary64)) |
(pow.f64 (*.f64 d d) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) d) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 2 binary64)) |
(*.f64 d d) |
(*.f64 (-.f64 #s(literal 0 binary64) d) (-.f64 #s(literal 0 binary64) d)) |
(*.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 b c))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 d (*.f64 d d)))) (/.f64 (*.f64 b c) (-.f64 #s(literal 0 binary64) (*.f64 d (*.f64 d d))))) |
(neg.f64 (/.f64 (*.f64 b c) (-.f64 #s(literal 0 binary64) (*.f64 d (*.f64 d d))))) |
(/.f64 (*.f64 b c) (*.f64 d (*.f64 d d))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b c)) (-.f64 #s(literal 0 binary64) (*.f64 d (*.f64 d d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 b c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 b c)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (/.f64 (*.f64 b c) d))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 b c))))) |
(/.f64 (/.f64 (*.f64 b c) d) (*.f64 d d)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 b c)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 b c)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d d) (/.f64 (*.f64 b c) d)))) |
(/.f64 (*.f64 (*.f64 b c) #s(literal 1 binary64)) (*.f64 d (*.f64 d d))) |
(/.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 d b) (*.f64 d d))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b c))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 d (*.f64 d d))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 b c) d)) (-.f64 #s(literal 0 binary64) (*.f64 d d))) |
(/.f64 (*.f64 (/.f64 b d) c) (*.f64 d d)) |
(/.f64 (*.f64 b (/.f64 c (*.f64 d d))) d) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 c (*.f64 d d))) (-.f64 #s(literal 0 binary64) d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 d d))) (/.f64 d b)) |
(/.f64 (/.f64 (*.f64 b c) (*.f64 d d)) d) |
(/.f64 (/.f64 (/.f64 (*.f64 b c) d) d) d) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 d (*.f64 d d)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 b c) d))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b c) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 d (*.f64 d d)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) c)) (neg.f64 (*.f64 (/.f64 d b) (*.f64 d d)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 b d) c)) (-.f64 #s(literal 0 binary64) (*.f64 d d))) |
(/.f64 (neg.f64 (*.f64 b (/.f64 c (*.f64 d d)))) (-.f64 #s(literal 0 binary64) d)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 c (*.f64 d d)))) (neg.f64 (-.f64 #s(literal 0 binary64) d))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 d d)))) (neg.f64 (/.f64 d b))) |
(/.f64 (neg.f64 (/.f64 (*.f64 b c) (*.f64 d d))) (-.f64 #s(literal 0 binary64) d)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 b c) d) d)) (-.f64 #s(literal 0 binary64) d)) |
(pow.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 b c)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 b c)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 d d) (/.f64 (*.f64 b c) d)) #s(literal -1 binary64)) |
(*.f64 b (/.f64 c (*.f64 d (*.f64 d d)))) |
(*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 c (*.f64 d d)))) |
(*.f64 c (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d d))))) |
(*.f64 c (/.f64 b (*.f64 d (*.f64 d d)))) |
(*.f64 (/.f64 b d) (/.f64 c (*.f64 d d))) |
(*.f64 (*.f64 b c) (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d d)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b c)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 d (*.f64 d d))))) |
(*.f64 (/.f64 c (*.f64 d d)) (/.f64 b d)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 b c) (*.f64 d d))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (*.f64 d d) (*.f64 b c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 c (*.f64 d d)) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d d))) (*.f64 b c)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d (*.f64 d d))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (/.f64 (*.f64 b c) d)) |
(*.f64 (/.f64 (*.f64 b c) d) (/.f64 #s(literal 1 binary64) (*.f64 d d))) |
(*.f64 (/.f64 c (*.f64 d (*.f64 d d))) b) |
(*.f64 (/.f64 c d) (/.f64 b (*.f64 d d))) |
(*.f64 (/.f64 c d) (/.f64 (/.f64 b d) d)) |
(*.f64 (/.f64 b (*.f64 d d)) (/.f64 c d)) |
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) d)) (/.f64 (neg.f64 c) (*.f64 d d))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) d) (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 d d)))) |
(*.f64 (/.f64 (*.f64 b c) (*.f64 d d)) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (pow.f64 (/.f64 d c) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 d d) b) #s(literal -1 binary64)) (pow.f64 (/.f64 d c) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 c) d) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 d d)))) |
(*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) d)) (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 d d))) |
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 d (*.f64 d d)))) |
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 b (*.f64 d (*.f64 d d)))) |
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 b c) (-.f64 #s(literal 0 binary64) (*.f64 d d)))) |
(*.f64 (/.f64 (/.f64 b d) d) (/.f64 c d)) |
(*.f64 (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 d d))) (/.f64 (-.f64 #s(literal 0 binary64) b) d)) |
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 d d))) (/.f64 (neg.f64 c) d)) |
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 c) (*.f64 d (*.f64 d d)))) |
(*.f64 (/.f64 (neg.f64 c) (*.f64 d d)) (/.f64 b (-.f64 #s(literal 0 binary64) d))) |
(*.f64 (/.f64 b (pow.f64 d #s(literal 3/2 binary64))) (/.f64 c (pow.f64 d #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 d d)) (/.f64 c (-.f64 #s(literal 0 binary64) d))) |
(*.f64 (/.f64 c (pow.f64 d #s(literal 3/2 binary64))) (/.f64 b (pow.f64 d #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 d d)) (/.f64 (*.f64 b c) (-.f64 #s(literal 0 binary64) d))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)) (/.f64 c (*.f64 d (*.f64 d d)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) a)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 d d))) (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 d d)))) |
(neg.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (*.f64 d d)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 d d))) |
(/.f64 a (*.f64 d d)) |
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 d d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 a d))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 d d) a)))) |
(/.f64 (/.f64 a d) d) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d d) a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 d d) a) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (/.f64 a d)))) |
(/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 d d)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)))) |
(/.f64 (neg.f64 (/.f64 a d)) (-.f64 #s(literal 0 binary64) d)) |
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 d d))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) a))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 a d))) (neg.f64 (-.f64 #s(literal 0 binary64) d))) |
(pow.f64 (/.f64 (*.f64 d d) a) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 d d) a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 d (/.f64 a d)) #s(literal -1 binary64)) |
(*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 d d))) |
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 d d)))) |
(*.f64 #s(literal 1 binary64) (/.f64 a (*.f64 d d))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) a) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 a d) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 a (-.f64 #s(literal 0 binary64) d))) |
| 1× | egg-herbie |
| 4484× | *-lowering-*.f32 |
| 4484× | *-lowering-*.f64 |
| 2162× | /-lowering-/.f32 |
| 2162× | /-lowering-/.f64 |
| 2110× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 302 | 4923 |
| 1 | 1002 | 4673 |
| 2 | 3464 | 4495 |
| 0 | 8609 | 4495 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* a c) (pow d 2)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ b d) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
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(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ (* b c) (pow d 3)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
| Outputs |
|---|
(/ (* a c) (pow d 2)) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+.f64 (/.f64 (/.f64 (*.f64 a c) d) d) (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+.f64 (/.f64 (/.f64 (*.f64 a c) d) d) (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+.f64 (/.f64 (/.f64 (*.f64 a c) d) d) (/.f64 b d)) |
(/ b d) |
(/.f64 b d) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (/.f64 (*.f64 a c) d) d) b))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (/.f64 (*.f64 a c) d) d) b))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (/.f64 (*.f64 a c) d) d) b))) |
(/ b d) |
(/.f64 b d) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (/.f64 (*.f64 a c) d) d) b))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (/.f64 (*.f64 a c) d) d) b))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 (/.f64 (*.f64 a c) d) d) b))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+.f64 (/.f64 (/.f64 (*.f64 a c) d) d) (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+.f64 (/.f64 (/.f64 (*.f64 a c) d) d) (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+.f64 (/.f64 (/.f64 (*.f64 a c) d) d) (/.f64 b d)) |
(/ (* a c) (pow d 2)) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (+.f64 (/.f64 a d) (/.f64 b c))) (-.f64 #s(literal 0 binary64) c)) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (+.f64 (/.f64 a d) (/.f64 b c))) (-.f64 #s(literal 0 binary64) c)) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (+.f64 (/.f64 a d) (/.f64 b c))) (-.f64 #s(literal 0 binary64) c)) |
(/ (* a c) (pow d 2)) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (+.f64 (/.f64 a d) (/.f64 b c))) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (+.f64 (/.f64 a d) (/.f64 b c))) (-.f64 #s(literal 0 binary64) c)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (+.f64 (/.f64 a d) (/.f64 b c))) (-.f64 #s(literal 0 binary64) c)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+.f64 (/.f64 (/.f64 (*.f64 a c) d) d) (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+.f64 (/.f64 (/.f64 (*.f64 a c) d) d) (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+.f64 (/.f64 (/.f64 (*.f64 a c) d) d) (/.f64 b d)) |
(/ (* a c) (pow d 2)) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 a (+.f64 (/.f64 (/.f64 b d) a) (/.f64 c (*.f64 d d)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 a (+.f64 (/.f64 (/.f64 b d) a) (/.f64 c (*.f64 d d)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 a (+.f64 (/.f64 (/.f64 b d) a) (/.f64 c (*.f64 d d)))) |
(/ (* a c) (pow d 2)) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 a (+.f64 (/.f64 (/.f64 b d) a) (/.f64 c (*.f64 d d)))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 a (+.f64 (/.f64 (/.f64 b d) a) (/.f64 c (*.f64 d d)))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 a (+.f64 (/.f64 (/.f64 b d) a) (/.f64 c (*.f64 d d)))) |
(/ (* a c) (pow d 2)) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (*.f64 d d)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (*.f64 d d)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (*.f64 d d)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(+ b (/ (* a c) d)) |
(+.f64 b (/.f64 (*.f64 a c) d)) |
(+ b (/ (* a c) d)) |
(+.f64 b (/.f64 (*.f64 a c) d)) |
(+ b (/ (* a c) d)) |
(+.f64 b (/.f64 (*.f64 a c) d)) |
b |
(* b (+ 1 (/ (* a c) (* b d)))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) d) b))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) d) b))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) d) b))) |
b |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) d) b)) #s(literal 1 binary64))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) d) b)) #s(literal 1 binary64))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(*.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) d) b)) #s(literal 1 binary64))) |
b |
(+ b (/ (* a c) d)) |
(+.f64 b (/.f64 (*.f64 a c) d)) |
(+ b (/ (* a c) d)) |
(+.f64 b (/.f64 (*.f64 a c) d)) |
(+ b (/ (* a c) d)) |
(+.f64 b (/.f64 (*.f64 a c) d)) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c))) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c))) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c))) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c))) |
b |
(+ b (/ (* a c) d)) |
(+.f64 b (/.f64 (*.f64 a c) d)) |
(+ b (/ (* a c) d)) |
(+.f64 b (/.f64 (*.f64 a c) d)) |
(+ b (/ (* a c) d)) |
(+.f64 b (/.f64 (*.f64 a c) d)) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(* a (+ (/ b a) (/ c d))) |
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d))) |
(* a (+ (/ b a) (/ c d))) |
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d))) |
(* a (+ (/ b a) (/ c d))) |
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d))) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d))) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (+ (* a c) (* b d)) d) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) d) |
(/ (+ (* a c) (* b d)) d) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) d) |
(/ (+ (* a c) (* b d)) d) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) d) |
b |
(+ b (/ (* a c) d)) |
(+.f64 b (/.f64 (*.f64 a c) d)) |
(+ b (/ (* a c) d)) |
(+.f64 b (/.f64 (*.f64 a c) d)) |
(+ b (/ (* a c) d)) |
(+.f64 b (/.f64 (*.f64 a c) d)) |
b |
(+ b (/ (* a c) d)) |
(+.f64 b (/.f64 (*.f64 a c) d)) |
(+ b (/ (* a c) d)) |
(+.f64 b (/.f64 (*.f64 a c) d)) |
(+ b (/ (* a c) d)) |
(+.f64 b (/.f64 (*.f64 a c) d)) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
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(/ (* b c) (pow d 3)) |
(/.f64 (*.f64 c b) (*.f64 d (*.f64 d d))) |
(/ (* b c) (pow d 3)) |
(/.f64 (*.f64 c b) (*.f64 d (*.f64 d d))) |
(/ (* b c) (pow d 3)) |
(/.f64 (*.f64 c b) (*.f64 d (*.f64 d d))) |
(/ (* b c) (pow d 3)) |
(/.f64 (*.f64 c b) (*.f64 d (*.f64 d d))) |
(/ (* b c) (pow d 3)) |
(/.f64 (*.f64 c b) (*.f64 d (*.f64 d d))) |
(/ (* b c) (pow d 3)) |
(/.f64 (*.f64 c b) (*.f64 d (*.f64 d d))) |
(/ (* b c) (pow d 3)) |
(/.f64 (*.f64 c b) (*.f64 d (*.f64 d d))) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
Compiled 26209 to 2313 computations (91.2% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1210 | 9 | 1219 |
| Fresh | 8 | 3 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1221 | 16 | 1237 |
| Status | Accuracy | Program |
|---|---|---|
| 20.8% | (/.f64 (/.f64 (*.f64 a c) d) d) | |
| ▶ | 55.3% | (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) |
| ▶ | 21.8% | (/.f64 (*.f64 (/.f64 b c) d) c) |
| 19.5% | (/.f64 (*.f64 c a) (*.f64 d d)) | |
| ✓ | 40.9% | (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ✓ | 19.1% | (/.f64 (*.f64 b d) (*.f64 c c)) |
| ✓ | 46.7% | (/.f64 b d) |
| ✓ | 44.7% | (/.f64 a c) |
| 19.2% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 b d))) | |
| 46.1% | (/.f64 #s(literal 1 binary64) (/.f64 d b)) | |
| ▶ | 44.1% | (/.f64 #s(literal 1 binary64) (/.f64 c a)) |
| 50.1% | (+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d)))) | |
| ▶ | 21.8% | (*.f64 (/.f64 d c) (/.f64 b c)) |
| 46.6% | (*.f64 (/.f64 #s(literal 1 binary64) d) b) | |
| ▶ | 44.5% | (*.f64 (/.f64 #s(literal 1 binary64) c) a) |
| 40.6% | (*.f64 a (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d)))) |
Compiled 312 to 208 computations (33.3% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 b c) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 b c) d) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (/.f64 b c) d) c) |
| ✓ | cost-diff | 0 | (/.f64 b c) |
| ✓ | cost-diff | 0 | (/.f64 d c) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 d c) (/.f64 b c)) |
| ✓ | cost-diff | 0 | (/.f64 c a) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 c a)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) c) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) c) a) |
| ✓ | cost-diff | 0 | (/.f64 c d) |
| ✓ | cost-diff | 0 | (*.f64 a (/.f64 c d)) |
| ✓ | cost-diff | 0 | (+.f64 b (*.f64 a (/.f64 c d))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) |
| 284× | *-lowering-*.f32 |
| 284× | *-lowering-*.f64 |
| 154× | /-lowering-/.f32 |
| 154× | /-lowering-/.f64 |
| 120× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 81 |
| 1 | 36 | 77 |
| 2 | 52 | 77 |
| 3 | 82 | 77 |
| 4 | 95 | 77 |
| 5 | 160 | 77 |
| 6 | 212 | 77 |
| 7 | 240 | 77 |
| 8 | 276 | 77 |
| 9 | 287 | 77 |
| 10 | 295 | 77 |
| 11 | 338 | 77 |
| 12 | 388 | 77 |
| 13 | 401 | 77 |
| 14 | 403 | 77 |
| 0 | 403 | 77 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ b (* a (/ c d))) d) |
(+ b (* a (/ c d))) |
b |
(* a (/ c d)) |
a |
(/ c d) |
c |
d |
(* (/ 1 c) a) |
(/ 1 c) |
1 |
c |
a |
(/ 1 (/ c a)) |
1 |
(/ c a) |
c |
a |
(* (/ d c) (/ b c)) |
(/ d c) |
d |
c |
(/ b c) |
b |
(/ (* (/ b c) d) c) |
(* (/ b c) d) |
(/ b c) |
b |
c |
d |
| Outputs |
|---|
(/ (+ b (* a (/ c d))) d) |
(/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d) |
(+ b (* a (/ c d))) |
(+.f64 b (/.f64 c (/.f64 d a))) |
b |
(* a (/ c d)) |
(/.f64 c (/.f64 d a)) |
a |
(/ c d) |
(/.f64 c d) |
c |
d |
(* (/ 1 c) a) |
(/.f64 a c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
1 |
#s(literal 1 binary64) |
c |
a |
(/ 1 (/ c a)) |
(/.f64 a c) |
1 |
#s(literal 1 binary64) |
(/ c a) |
(/.f64 c a) |
c |
a |
(* (/ d c) (/ b c)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ d c) |
(/.f64 d c) |
d |
c |
(/ b c) |
(/.f64 b c) |
b |
(/ (* (/ b c) d) c) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(* (/ b c) d) |
(/.f64 (*.f64 b d) c) |
(/ b c) |
(/.f64 b c) |
b |
c |
d |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 b c) |
| ✓ | accuracy | 97.5% | (/.f64 (*.f64 (/.f64 b c) d) c) |
| ✓ | accuracy | 91.2% | (*.f64 (/.f64 b c) d) |
| ✓ | accuracy | 100.0% | (/.f64 d c) |
| ✓ | accuracy | 100.0% | (/.f64 b c) |
| ✓ | accuracy | 94.7% | (*.f64 (/.f64 d c) (/.f64 b c)) |
| ✓ | accuracy | 100.0% | (/.f64 c a) |
| ✓ | accuracy | 98.4% | (/.f64 #s(literal 1 binary64) (/.f64 c a)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) c) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) c) a) |
| ✓ | accuracy | 100.0% | (/.f64 c d) |
| ✓ | accuracy | 100.0% | (+.f64 b (*.f64 a (/.f64 c d))) |
| ✓ | accuracy | 99.5% | (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) |
| ✓ | accuracy | 91.5% | (*.f64 a (/.f64 c d)) |
| 55.0ms | 256× | 0 | valid |
Compiled 89 to 19 computations (78.7% saved)
ival-div: 16.0ms (62.9% of total)ival-mult: 8.0ms (31.4% of total)ival-add: 1.0ms (3.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ b (* a (/ c d))) d)> |
#<alt (+ b (* a (/ c d)))> |
#<alt (* a (/ c d))> |
#<alt (/ c d)> |
#<alt (* (/ 1 c) a)> |
#<alt (/ 1 c)> |
#<alt (/ 1 (/ c a))> |
#<alt (/ c a)> |
#<alt (* (/ d c) (/ b c))> |
#<alt (/ d c)> |
#<alt (/ b c)> |
#<alt (/ (* (/ b c) d) c)> |
#<alt (* (/ b c) d)> |
| Outputs |
|---|
#<alt (/ (* a c) (pow d 2))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ b d)> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (/ b d)> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (/ (* a c) d)> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt b> |
#<alt (* b (+ 1 (/ (* a c) (* b d))))> |
#<alt (* b (+ 1 (/ (* a c) (* b d))))> |
#<alt (* b (+ 1 (/ (* a c) (* b d))))> |
#<alt b> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (/ (* a c) d)> |
#<alt (* a (+ (/ b a) (/ c d)))> |
#<alt (* a (+ (/ b a) (/ c d)))> |
#<alt (* a (+ (/ b a) (/ c d)))> |
#<alt (/ (* a c) d)> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (/ (* a c) d)> |
#<alt (* c (+ (/ a d) (/ b c)))> |
#<alt (* c (+ (/ a d) (/ b c)))> |
#<alt (* c (+ (/ a d) (/ b c)))> |
#<alt (/ (* a c) d)> |
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (/ (* a c) d)> |
#<alt (/ (+ (* a c) (* b d)) d)> |
#<alt (/ (+ (* a c) (* b d)) d)> |
#<alt (/ (+ (* a c) (* b d)) d)> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ c a)> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
#<alt (/ (* b d) c)> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | c | @ | -inf | (/ c a) |
| 0.0ms | c | @ | 0 | (/ c a) |
| 0.0ms | c | @ | inf | (/ c a) |
| 0.0ms | c | @ | -inf | (/ d c) |
| 0.0ms | d | @ | -inf | (/ c d) |
| 1× | batch-egg-rewrite |
| 3406× | *-lowering-*.f32 |
| 3406× | *-lowering-*.f64 |
| 2466× | /-lowering-/.f32 |
| 2466× | /-lowering-/.f64 |
| 1484× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 62 |
| 1 | 95 | 58 |
| 2 | 636 | 58 |
| 3 | 6314 | 58 |
| 0 | 8211 | 58 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ b (* a (/ c d))) d) |
(+ b (* a (/ c d))) |
(* a (/ c d)) |
(/ c d) |
(* (/ 1 c) a) |
(/ 1 c) |
(/ 1 (/ c a)) |
(/ c a) |
(* (/ d c) (/ b c)) |
(/ d c) |
(/ b c) |
(/ (* (/ b c) d) c) |
(* (/ b c) d) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) b) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a (/.f64 d c)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a (/.f64 d c))) (*.f64 (/.f64 #s(literal 1 binary64) d) b)) |
(+.f64 (*.f64 b (/.f64 #s(literal 1 binary64) d)) (*.f64 (/.f64 a (/.f64 d c)) (/.f64 #s(literal 1 binary64) d))) |
(+.f64 (*.f64 (/.f64 a (/.f64 d c)) (/.f64 #s(literal 1 binary64) d)) (*.f64 b (/.f64 #s(literal 1 binary64) d))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (+.f64 b (/.f64 a (/.f64 d c))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c))) d)) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (/.f64 a (/.f64 d c)))) d) (/.f64 (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (-.f64 b (/.f64 a (/.f64 d c)))) d)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) d)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c))) d)) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 d (-.f64 b (/.f64 a (/.f64 d c))))) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (*.f64 d (-.f64 b (/.f64 a (/.f64 d c)))))) |
(neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c))) d)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c))) d))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 d (+.f64 b (/.f64 a (/.f64 d c)))))) |
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d) |
(/.f64 #s(literal 1 binary64) (/.f64 d (+.f64 b (/.f64 a (/.f64 d c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c))) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c)))) d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (/.f64 a (/.f64 d c))) (/.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))) d))) |
(/.f64 #s(literal -1 binary64) (/.f64 d (-.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (/.f64 a (/.f64 d c)))) (-.f64 #s(literal 0 binary64) d))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c))) (-.f64 #s(literal 0 binary64) d)) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c)))) (*.f64 d (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c))))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c)))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c)))) (-.f64 #s(literal 0 binary64) d))) |
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c)))) (*.f64 (-.f64 #s(literal 0 binary64) d) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (+.f64 b (/.f64 a (/.f64 d c))))) |
(/.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))) (*.f64 d (-.f64 b (/.f64 a (/.f64 d c))))) |
(/.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c))) (-.f64 #s(literal 0 binary64) d))) |
(/.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))) (*.f64 (-.f64 #s(literal 0 binary64) d) (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c))))) (*.f64 d (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c))))) (*.f64 (-.f64 #s(literal 0 binary64) d) (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c))))) (neg.f64 (*.f64 d (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c)))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 b b)) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))) (*.f64 d (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 b b)) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))) (*.f64 (-.f64 #s(literal 0 binary64) d) (-.f64 b (/.f64 a (/.f64 d c))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 b b)) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))) (neg.f64 (*.f64 d (-.f64 b (/.f64 a (/.f64 d c)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 d (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c)))) (+.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c))) (-.f64 (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c))) (*.f64 b (*.f64 b b))))))) |
(/.f64 (-.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (*.f64 b b)) (*.f64 d (-.f64 (/.f64 a (/.f64 d c)) b))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c)))) (-.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d (-.f64 b (/.f64 a (/.f64 d c)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (+.f64 (*.f64 b b) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))))))) |
(/.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 (/.f64 c (*.f64 d (/.f64 d (*.f64 a c)))) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))))) (*.f64 (*.f64 d (-.f64 b (/.f64 a (/.f64 d c)))) (+.f64 (*.f64 b b) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c)))) d) (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c)))) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))) d) (-.f64 b (/.f64 a (/.f64 d c)))) |
(/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c)))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c))) (-.f64 #s(literal 0 binary64) d))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))) #s(literal -1 binary64)) (*.f64 (-.f64 b (/.f64 a (/.f64 d c))) (-.f64 #s(literal 0 binary64) d))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c))) (-.f64 #s(literal 0 binary64) d))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c)))) d)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c))))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c)))) (-.f64 #s(literal 0 binary64) d))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 b b)) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))) #s(literal 1 binary64)) (*.f64 (-.f64 b (/.f64 a (/.f64 d c))) (-.f64 #s(literal 0 binary64) d))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 b b)) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c))) d)) |
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 b b)) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c))) (-.f64 #s(literal 0 binary64) d))) |
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 a (/.f64 d c)) b) d)) |
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (*.f64 b b)) #s(literal -1 binary64)) (*.f64 (-.f64 (/.f64 a (/.f64 d c)) b) (-.f64 #s(literal 0 binary64) d))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c)))))) (*.f64 d (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 b b)) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))))) (*.f64 d (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (*.f64 b b))) (*.f64 d (-.f64 (/.f64 a (/.f64 d c)) b))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c)))))) (*.f64 (-.f64 #s(literal 0 binary64) d) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (*.f64 b b)) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))))) (*.f64 (-.f64 #s(literal 0 binary64) d) (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (*.f64 b b))) (*.f64 (-.f64 #s(literal 0 binary64) d) (-.f64 (/.f64 a (/.f64 d c)) b))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c)))) d)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))) d)) (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c)))) (-.f64 #s(literal 0 binary64) d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c)))) d)) (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c)))) d)) (-.f64 b (/.f64 a (/.f64 d c)))) |
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) d)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (/.f64 d (*.f64 a c)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 b b) (/.f64 (*.f64 a (-.f64 (/.f64 a (/.f64 d c)) b)) (/.f64 d c))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 (neg.f64 (*.f64 b b)) (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))))) (+.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a (/.f64 d c)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (-.f64 (/.f64 (/.f64 a (/.f64 d c)) (/.f64 d (*.f64 a c))) (*.f64 b b))) (-.f64 (/.f64 a (/.f64 d c)) b)) |
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(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 c d))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) d)) (/.f64 (/.f64 #s(literal -1 binary64) c) c)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal -1 binary64) d)) (/.f64 (/.f64 #s(literal -1 binary64) c) (-.f64 #s(literal 0 binary64) c))) |
(*.f64 (/.f64 (/.f64 b c) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 d c))) |
(*.f64 (/.f64 (/.f64 b (-.f64 #s(literal 0 binary64) c)) #s(literal -1 binary64)) (/.f64 d c)) |
(*.f64 (/.f64 (/.f64 d c) #s(literal -1 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) c))) |
(*.f64 (/.f64 (/.f64 b (/.f64 c d)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)) (/.f64 d (*.f64 c c))) |
(*.f64 (pow.f64 (/.f64 c (/.f64 b (/.f64 c d))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c (/.f64 b (/.f64 c d))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 b c) (/.f64 #s(literal -1 binary64) c)) (-.f64 #s(literal 0 binary64) d)) |
(*.f64 (*.f64 (/.f64 b (/.f64 c d)) (pow.f64 c #s(literal -1/2 binary64))) (pow.f64 c #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 d c) (-.f64 #s(literal 0 binary64) c)) (-.f64 #s(literal 0 binary64) b)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c d)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c d)))) |
(/.f64 b (/.f64 c d)) |
(/.f64 d (/.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (*.f64 b d)) #s(literal 1 binary64))) |
(/.f64 (/.f64 d c) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 (/.f64 b c) (/.f64 #s(literal 1 binary64) d)) |
(/.f64 (/.f64 b (/.f64 c d)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 b d)))) |
(/.f64 (-.f64 #s(literal 0 binary64) d) (/.f64 c (-.f64 #s(literal 0 binary64) b))) |
(/.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 c d))) |
(/.f64 (*.f64 b d) c) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b d))) c) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b d)) (-.f64 #s(literal 0 binary64) c)) |
(/.f64 (/.f64 b (-.f64 #s(literal 0 binary64) c)) (/.f64 #s(literal -1 binary64) d)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b d)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) c)) |
(/.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 c d)) |
(/.f64 (/.f64 b (/.f64 #s(literal 1 binary64) d)) c) |
(/.f64 (/.f64 b (/.f64 #s(literal -1 binary64) d)) (-.f64 #s(literal 0 binary64) c)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b d)) #s(literal -1 binary64)) c) |
(pow.f64 (/.f64 c (*.f64 b d)) #s(literal -1 binary64)) |
(*.f64 b (/.f64 d c)) |
(*.f64 d (/.f64 b c)) |
(*.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c d))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b d)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 d (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 b (/.f64 #s(literal 1 binary64) d))) |
(*.f64 (/.f64 d c) b) |
(*.f64 (/.f64 d c) (/.f64 b #s(literal 1 binary64))) |
(*.f64 (/.f64 d c) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 b c) d) |
(*.f64 (/.f64 b (/.f64 c d)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c d)))) |
(*.f64 (-.f64 #s(literal 0 binary64) d) (/.f64 b (-.f64 #s(literal 0 binary64) c))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 b (/.f64 c d))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 d c))) |
(*.f64 (*.f64 b d) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 b d)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 d c)) (-.f64 #s(literal 0 binary64) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (-.f64 #s(literal 0 binary64) (*.f64 b d))) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 b (/.f64 #s(literal -1 binary64) d))) |
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) c)) (-.f64 #s(literal 0 binary64) d)) |
(*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) c))) |
(*.f64 (/.f64 b #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 d c))) |
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 d c)) |
(*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) d)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) d)) (/.f64 b (-.f64 #s(literal 0 binary64) c))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)) (/.f64 d c)) |
(*.f64 (*.f64 (*.f64 b d) (pow.f64 c #s(literal -1/2 binary64))) (pow.f64 c #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 b d) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) c)) |
| 1× | egg-herbie |
| 2658× | *-lowering-*.f32 |
| 2658× | *-lowering-*.f64 |
| 1954× | fnmadd-define |
| 1480× | /-lowering-/.f32 |
| 1480× | /-lowering-/.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 2064 |
| 1 | 278 | 1998 |
| 2 | 936 | 1998 |
| 3 | 2958 | 1932 |
| 0 | 8053 | 1932 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* a c) (pow d 2)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ b d) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* a c) (pow d 2)) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(/ (* a c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(/ (* a c) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/ (* a c) d) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
b |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
b |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(/ (* a c) d) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(/ (* a c) d) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(/ (* a c) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ c a) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
| Outputs |
|---|
(/ (* a c) (pow d 2)) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(/ b d) |
(/.f64 b d) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(/ (* a c) (pow d 2)) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(/ (* a c) (pow d 2)) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(/ (* a c) (pow d 2)) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
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(/ (* b d) (pow c 2)) |
(/.f64 (/.f64 (*.f64 d b) c) c) |
(/ (* b d) (pow c 2)) |
(/.f64 (/.f64 (*.f64 d b) c) c) |
(/ (* b d) (pow c 2)) |
(/.f64 (/.f64 (*.f64 d b) c) c) |
(/ (* b d) (pow c 2)) |
(/.f64 (/.f64 (*.f64 d b) c) c) |
(/ (* b d) (pow c 2)) |
(/.f64 (/.f64 (*.f64 d b) c) c) |
(/ (* b d) (pow c 2)) |
(/.f64 (/.f64 (*.f64 d b) c) c) |
(/ (* b d) (pow c 2)) |
(/.f64 (/.f64 (*.f64 d b) c) c) |
(/ (* b d) (pow c 2)) |
(/.f64 (/.f64 (*.f64 d b) c) c) |
(/ (* b d) (pow c 2)) |
(/.f64 (/.f64 (*.f64 d b) c) c) |
(/ (* b d) (pow c 2)) |
(/.f64 (/.f64 (*.f64 d b) c) c) |
(/ (* b d) (pow c 2)) |
(/.f64 (/.f64 (*.f64 d b) c) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
Compiled 15444 to 1422 computations (90.8% saved)
17 alts after pruning (8 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1150 | 3 | 1153 |
| Fresh | 2 | 5 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1152 | 17 | 1169 |
| Status | Accuracy | Program |
|---|---|---|
| 21.8% | (/.f64 (/.f64 (/.f64 b c) (/.f64 #s(literal 1 binary64) d)) c) | |
| 20.8% | (/.f64 (/.f64 (*.f64 a c) d) d) | |
| ✓ | 55.3% | (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) |
| ✓ | 21.8% | (/.f64 (*.f64 (/.f64 b c) d) c) |
| 19.5% | (/.f64 (*.f64 c a) (*.f64 d d)) | |
| ✓ | 40.9% | (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ✓ | 19.1% | (/.f64 (*.f64 b d) (*.f64 c c)) |
| ✓ | 46.7% | (/.f64 b d) |
| ✓ | 44.7% | (/.f64 a c) |
| 54.4% | (/.f64 #s(literal 1 binary64) (/.f64 d (+.f64 b (/.f64 a (/.f64 d c))))) | |
| 46.1% | (/.f64 #s(literal 1 binary64) (/.f64 d b)) | |
| ✓ | 44.1% | (/.f64 #s(literal 1 binary64) (/.f64 c a)) |
| 50.1% | (+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d)))) | |
| ✓ | 21.8% | (*.f64 (/.f64 d c) (/.f64 b c)) |
| 46.6% | (*.f64 (/.f64 #s(literal 1 binary64) d) b) | |
| ✓ | 44.5% | (*.f64 (/.f64 #s(literal 1 binary64) c) a) |
| 19.7% | (*.f64 a (/.f64 c (*.f64 d d))) |
Compiled 629 to 249 computations (60.4% saved)
| Inputs |
|---|
(/.f64 a c) |
(/.f64 b d) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(*.f64 (/.f64 #s(literal 1 binary64) d) b) |
(/.f64 #s(literal 1 binary64) (/.f64 c a)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(*.f64 (/.f64 d c) (/.f64 b c)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/.f64 (*.f64 c a) (*.f64 d d)) |
(/.f64 (*.f64 (/.f64 b c) d) c) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(/.f64 (/.f64 (*.f64 b d) c) c) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 b d))) |
(/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c) |
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) |
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) |
(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d) |
(/.f64 (/.f64 (/.f64 b c) (/.f64 #s(literal 1 binary64) d)) c) |
(*.f64 a (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d)))) |
(+.f64 (/.f64 b d) (*.f64 c (/.f64 a (*.f64 d d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (+.f64 a (/.f64 b (/.f64 c d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (+.f64 b (/.f64 a (/.f64 d c))))) |
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (/.f64 a (*.f64 d c)))) |
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) (+.f64 a (/.f64 b (/.f64 c d))))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (*.f64 a c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a c) (*.f64 b d)))) |
(+.f64 (/.f64 b d) (*.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))))) |
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 b d) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) a)))) |
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 c a) b) (+.f64 (*.f64 c c) (*.f64 d d))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 c a) (*.f64 d (-.f64 (*.f64 d (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (/.f64 (*.f64 b b) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 b (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 d d) a)) (*.f64 (/.f64 (*.f64 d d) a) (/.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 #s(literal 0 binary64) c)) (/.f64 (*.f64 b d) (*.f64 a a))) (-.f64 #s(literal 0 binary64) c)) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) c))) |
| Outputs |
|---|
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) |
(/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c) |
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) |
5 calls:
| 13.0ms | c |
| 10.0ms | b |
| 10.0ms | d |
| 10.0ms | a |
| 9.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 3 | a |
| 67.8% | 4 | b |
| 81.5% | 4 | c |
| 82.5% | 3 | d |
| 75.0% | 3 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
(/.f64 a c) |
(/.f64 b d) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(*.f64 (/.f64 #s(literal 1 binary64) d) b) |
(/.f64 #s(literal 1 binary64) (/.f64 c a)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(*.f64 (/.f64 d c) (/.f64 b c)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/.f64 (*.f64 c a) (*.f64 d d)) |
(/.f64 (*.f64 (/.f64 b c) d) c) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(/.f64 (/.f64 (*.f64 b d) c) c) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 b d))) |
(/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c) |
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) |
| Outputs |
|---|
(/.f64 b d) |
(/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c) |
(/.f64 b d) |
2 calls:
| 8.0ms | c |
| 5.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.8% | 3 | c |
| 77.9% | 3 | d |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(/.f64 a c) |
(/.f64 b d) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(*.f64 (/.f64 #s(literal 1 binary64) d) b) |
(/.f64 #s(literal 1 binary64) (/.f64 c a)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(*.f64 (/.f64 d c) (/.f64 b c)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/.f64 (*.f64 c a) (*.f64 d d)) |
(/.f64 (*.f64 (/.f64 b c) d) c) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(/.f64 (/.f64 (*.f64 b d) c) c) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 b d))) |
| Outputs |
|---|
(/.f64 b d) |
(/.f64 a c) |
(/.f64 b d) |
2 calls:
| 4.0ms | c |
| 4.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.6% | 3 | c |
| 72.2% | 3 | d |
Compiled 10 to 8 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 a c) |
| Outputs |
|---|
(/.f64 a c) |
4 calls:
| 1.0ms | d |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.7% | 1 | b |
| 44.7% | 1 | a |
| 44.7% | 1 | c |
| 44.7% | 1 | d |
Compiled 20 to 16 computations (20% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.1067176725242457e+39 | 1.1624030140650905e+41 |
| 19.0ms | -11610783015894792.0 | -28206.93374999077 |
| 24.0ms | 272× | 0 | valid |
Compiled 502 to 323 computations (35.7% saved)
ival-mult: 9.0ms (62.1% of total)ival-add: 3.0ms (20.7% of total)ival-div: 2.0ms (13.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 3.40750543150863e+33 | 3.772870892064816e+36 |
| 21.0ms | -11610783015894792.0 | -28206.93374999077 |
| 26.0ms | 288× | 0 | valid |
Compiled 422 to 287 computations (32% saved)
ival-mult: 9.0ms (55.6% of total)ival-add: 5.0ms (30.9% of total)ival-div: 2.0ms (12.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 3.40750543150863e+33 | 3.772870892064816e+36 |
| 18.0ms | -11610783015894792.0 | -28206.93374999077 |
| 27.0ms | 288× | 0 | valid |
Compiled 314 to 233 computations (25.8% saved)
ival-mult: 9.0ms (66% of total)ival-add: 3.0ms (22% of total)ival-div: 2.0ms (14.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 6× | if-if-or-not_binary32 |
| 4× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 66 |
| 1 | 45 | 66 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 d #s(literal -10500000000 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal 14000000000000000667085603720730968588288 binary64)) (/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d))) |
(if (<=.f64 d #s(literal -12000000000 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 9999999999999999455752309870428160 binary64)) (/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c) (/.f64 b d))) |
(if (<=.f64 d #s(literal -14000000000 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 47999999999999997387611087378055168 binary64)) (/.f64 a c) (/.f64 b d))) |
(/.f64 a c) |
| Outputs |
|---|
(if (<=.f64 d #s(literal -10500000000 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal 14000000000000000667085603720730968588288 binary64)) (/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d))) |
(if (<=.f64 d #s(literal -10500000000 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal 14000000000000000667085603720730968588288 binary64)) (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d))) |
(if (<=.f64 d #s(literal -12000000000 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 9999999999999999455752309870428160 binary64)) (/.f64 (+.f64 a (*.f64 (/.f64 d c) b)) c) (/.f64 b d))) |
(if (<=.f64 d #s(literal -12000000000 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 9999999999999999455752309870428160 binary64)) (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c) (/.f64 b d))) |
(if (<=.f64 d #s(literal -14000000000 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 47999999999999997387611087378055168 binary64)) (/.f64 a c) (/.f64 b d))) |
(/.f64 a c) |
| 5208× | *-lowering-*.f32 |
| 5208× | *-lowering-*.f64 |
| 3932× | /-lowering-/.f32 |
| 3932× | /-lowering-/.f64 |
| 3728× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 113 |
| 1 | 134 | 109 |
| 2 | 1128 | 109 |
| 0 | 8566 | 109 |
| 0 | 22 | 118 |
| 1 | 154 | 109 |
| 2 | 1676 | 109 |
| 0 | 8785 | 109 |
| 0 | 179 | 1338 |
| 1 | 627 | 1224 |
| 2 | 2060 | 1196 |
| 3 | 7317 | 1196 |
| 0 | 8605 | 1196 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 188 to 100 computations (46.8% saved)
Compiled 282 to 126 computations (55.3% saved)
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