
Time bar (total: 8.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 3 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 6 |
| 95.2% | 93.7% | 4.7% | 0.1% | 0% | 0% | 1.6% | 7 |
| 96% | 93.7% | 3.9% | 0.1% | 0% | 0% | 2.3% | 8 |
| 97.2% | 93.7% | 2.7% | 0.1% | 0% | 0% | 3.5% | 9 |
| 97.8% | 93.7% | 2.1% | 0.1% | 0% | 0% | 4.1% | 10 |
| 98.5% | 93.7% | 1.5% | 0.1% | 0% | 0% | 4.8% | 11 |
| 98.8% | 93.7% | 1.1% | 0.1% | 0% | 0% | 5.1% | 12 |
Compiled 11 to 7 computations (36.4% saved)
ival-exp: 1.0ms (42% of total)ival-add: 1.0ms (42% of total)ival-div: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 691.0ms | 8256× | 0 | valid |
| 160.0ms | 3058× | 0 | unsamplable |
ival-exp: 160.0ms (49.8% of total)ival-div: 80.0ms (24.9% of total)ival-add: 68.0ms (21.2% of total)const: 9.0ms (2.8% of total)backward-pass: 4.0ms (1.2% of total)| 2× | egg-herbie |
| 1462× | fnmadd-define |
| 1282× | fmsub-define |
| 1192× | fnmsub-define |
| 992× | fma-define |
| 966× | fmm-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 56 |
| 1 | 42 | 56 |
| 2 | 79 | 56 |
| 3 | 153 | 56 |
| 4 | 321 | 49 |
| 5 | 653 | 49 |
| 6 | 1104 | 49 |
| 7 | 1968 | 49 |
| 8 | 2793 | 49 |
| 9 | 3793 | 49 |
| 10 | 4146 | 46 |
| 11 | 4785 | 45 |
| 12 | 5399 | 44 |
| 13 | 5945 | 44 |
| 14 | 6211 | 44 |
| 15 | 6251 | 44 |
| 16 | 6261 | 44 |
| 0 | 6 | 8 |
| 1 | 7 | 8 |
| 0 | 7 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (exp a) (+ (exp a) (exp b))) |
| Outputs |
|---|
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Inputs |
|---|
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp (neg a)) (+ (exp (neg a)) (exp b))) |
(/ (exp a) (+ (exp a) (exp (neg b)))) |
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b)))) |
(neg (/ (exp a) (+ (exp a) (exp (neg b))))) |
(/ (exp b) (+ (exp b) (exp a))) |
| Outputs |
|---|
(/ (exp a) (+ (exp a) (exp b))) |
(recip (+ 1 (exp (- b a)))) |
(/ (exp (neg a)) (+ (exp (neg a)) (exp b))) |
(recip (fmsub (exp a) (exp b) -1)) |
(/ (exp a) (+ (exp a) (exp (neg b)))) |
(recip (+ 1 (exp (- (neg a) b)))) |
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b)))) |
(recip (fnmsub (exp a) (exp b) 1)) |
(neg (/ (exp a) (+ (exp a) (exp (neg b))))) |
(recip (- -1 (exp (- (neg a) b)))) |
(/ (exp b) (+ (exp b) (exp a))) |
(recip (+ 1 (exp (- a b)))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 0 | 0 | - | 0 | - | (exp.f64 a) |
| 0 | 0 | - | 0 | - | (exp.f64 b) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 a) (exp.f64 b)) |
| 35.0ms | 512× | 0 | valid |
Compiled 54 to 20 computations (63% saved)
ival-div: 7.0ms (42% of total)ival-exp: 6.0ms (36% of total)ival-add: 3.0ms (18% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)Compiled 10 to 6 computations (40% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 b) |
| ✓ | cost-diff | 0 | (+.f64 (exp.f64 a) (exp.f64 b)) |
| ✓ | cost-diff | 0 | (exp.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4× | exp-lowering-exp.f32 |
| 4× | +-lowering-+.f64 |
| 4× | +-lowering-+.f32 |
| 4× | exp-lowering-exp.f64 |
| 2× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 1 | 7 | 19 |
| 0 | 7 | 19 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
a |
(+ (exp a) (exp b)) |
(exp b) |
b |
| Outputs |
|---|
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(exp a) |
(exp.f64 a) |
a |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
(exp b) |
(exp.f64 b) |
b |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 b) |
| ✓ | accuracy | 100.0% | (exp.f64 a) |
| ✓ | accuracy | 100.0% | (+.f64 (exp.f64 a) (exp.f64 b)) |
| ✓ | accuracy | 99.6% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 20.0ms | 256× | 0 | valid |
Compiled 22 to 7 computations (68.2% saved)
ival-exp: 7.0ms (63.9% of total)ival-div: 2.0ms (18.3% of total)ival-add: 1.0ms (9.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (exp a)> |
#<alt (+ (exp a) (exp b))> |
#<alt (exp b)> |
| Outputs |
|---|
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))> |
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))> |
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt (/ (exp a) (+ (exp a) (exp b)))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (+ b (exp a)))> |
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))> |
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt (+ (exp a) (exp b))> |
#<alt 1> |
#<alt (+ 1 b)> |
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (/ (exp a) (+ (exp a) (exp b))) |
| 1.0ms | b | @ | inf | (/ (exp a) (+ (exp a) (exp b))) |
| 1.0ms | b | @ | 0 | (/ (exp a) (+ (exp a) (exp b))) |
| 1.0ms | a | @ | inf | (/ (exp a) (+ (exp a) (exp b))) |
| 1.0ms | a | @ | -inf | (/ (exp a) (+ (exp a) (exp b))) |
| 1× | batch-egg-rewrite |
| 2620× | *-lowering-*.f32 |
| 2620× | *-lowering-*.f64 |
| 2426× | /-lowering-/.f32 |
| 2426× | /-lowering-/.f64 |
| 2028× | fma-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 28 | 17 |
| 2 | 215 | 17 |
| 3 | 2147 | 17 |
| 0 | 8583 | 17 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp a) (+ (exp a) (exp b))) |
(exp a) |
(+ (exp a) (exp b)) |
(exp b) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (*.f64 a #s(literal 2 binary64)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (*.f64 a #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 b)))) |
(+.f64 (*.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (*.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (*.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))) |
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) #s(literal -1 binary64))) |
(exp.f64 (+.f64 a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) a)) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) (neg.f64 a))) |
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)))) |
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))) |
(fma.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) |
(fma.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) |
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) |
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (exp.f64 (*.f64 a #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (exp.f64 a) (*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 b)))) |
(neg.f64 (/.f64 (exp.f64 a) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (-.f64 #s(literal 0 binary64) (exp.f64 a)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)))) |
(/.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))) |
(/.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 2 binary64)))))))) |
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(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (pow.f64 (-.f64 (exp.f64 b) (exp.f64 a)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (*.f64 b #s(literal 2 binary64)))))) (neg.f64 (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))))) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) (neg.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))) |
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) |
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) |
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) |
(*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (+.f64 (exp.f64 a) (exp.f64 b))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 2 binary64))))))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (+.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (exp.f64 (+.f64 a b)))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (exp.f64 (+.f64 a b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (*.f64 a #s(literal 9 binary64))) (exp.f64 (*.f64 b #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 6 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 b #s(literal 4 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))) |
(exp.f64 b) |
(exp.f64 (*.f64 b #s(literal 1 binary64))) |
(pow.f64 (exp.f64 b) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 3640× | *-lowering-*.f32 |
| 3640× | *-lowering-*.f64 |
| 1968× | fma-lowering-fma.f32 |
| 1968× | fma-lowering-fma.f64 |
| 1936× | fnmadd-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 714 |
| 1 | 360 | 669 |
| 2 | 1225 | 655 |
| 3 | 5177 | 650 |
| 0 | 8588 | 650 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ 1 (exp a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/ (exp a) (+ (exp a) (exp b))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ 1 (exp a)) |
(+ 1 (+ b (exp a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
(+ (exp a) (exp b)) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
| Outputs |
|---|
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (+.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 b (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (*.f64 (+.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (*.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) b)))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/ (exp a) (+ (exp a) (exp b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a)) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (+ b (exp a))) |
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a))) |
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) |
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
(+ (exp a) (exp b)) |
(+.f64 (exp.f64 b) (exp.f64 a)) |
1 |
#s(literal 1 binary64) |
(+ 1 b) |
(+.f64 #s(literal 1 binary64) b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
Compiled 9353 to 1019 computations (89.1% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 369 | 4 | 373 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 370 | 4 | 374 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.1% | (/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
| ▶ | 68.3% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
| ▶ | 80.8% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
| ▶ | 81.2% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) |
Compiled 60 to 37 computations (38.3% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 b)) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (exp.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 (exp.f64 a) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (exp.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (exp.f64 b) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 b)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
| ✓ | cost-diff | 6464 | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 6592 | (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) |
| ✓ | cost-diff | 13248 | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) |
| 1960× | fnmadd-define |
| 1784× | fma-lowering-fma.f32 |
| 1784× | fma-lowering-fma.f64 |
| 1760× | fmsub-define |
| 1462× | fmm-def |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 162 |
| 1 | 50 | 157 |
| 2 | 134 | 155 |
| 3 | 285 | 153 |
| 4 | 649 | 152 |
| 5 | 1043 | 147 |
| 6 | 1476 | 145 |
| 7 | 1942 | 145 |
| 8 | 3188 | 145 |
| 9 | 4901 | 145 |
| 10 | 7232 | 145 |
| 11 | 7791 | 145 |
| 12 | 7956 | 145 |
| 0 | 8005 | 145 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))) |
(/ 1 (+ 1 (exp b))) |
1 |
(+ 1 (exp b)) |
(exp b) |
b |
(* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))) |
a |
(+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))) |
(/ -1 (pow (+ 1 (exp b)) 2)) |
-1 |
(pow (+ 1 (exp b)) 2) |
2 |
(/ 1 (+ 1 (exp b))) |
1 |
(+ 1 (exp b)) |
(exp b) |
b |
(/ (exp a) (+ (exp a) 1)) |
(exp a) |
a |
(+ (exp a) 1) |
1 |
(/ (exp a) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))) |
(exp a) |
a |
(+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2)))) |
(+ 1 (exp b)) |
1 |
(exp b) |
b |
(* a (+ 1 (* a 1/2))) |
(+ 1 (* a 1/2)) |
(* a 1/2) |
1/2 |
| Outputs |
|---|
(+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) a) (/.f64 a (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
1 |
#s(literal 1 binary64) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(exp b) |
(exp.f64 b) |
b |
(* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))) |
(/.f64 (+.f64 a (/.f64 a (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
a |
(+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/ -1 (pow (+ 1 (exp b)) 2)) |
(/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) |
-1 |
#s(literal -1 binary64) |
(pow (+ 1 (exp b)) 2) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
1 |
#s(literal 1 binary64) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(exp b) |
(exp.f64 b) |
b |
(/ (exp a) (+ (exp a) 1)) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(exp a) |
(exp.f64 a) |
a |
(+ (exp a) 1) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
1 |
#s(literal 1 binary64) |
(/ (exp a) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) |
(exp a) |
(exp.f64 a) |
a |
(+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
1 |
#s(literal 1 binary64) |
(exp b) |
(exp.f64 b) |
b |
(* a (+ 1 (* a 1/2))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(+ 1 (* a 1/2)) |
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) |
(* a 1/2) |
(*.f64 a #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 a) |
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (exp.f64 b)) |
| ✓ | accuracy | 100.0% | (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (exp.f64 a) |
| ✓ | accuracy | 100.0% | (+.f64 (exp.f64 a) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (exp.f64 b) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (exp.f64 b)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (exp.f64 b)) |
| 58.0ms | 216× | 0 | valid |
| 28.0ms | 39× | 2 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 173 to 23 computations (86.7% saved)
ival-add: 10.0ms (25.3% of total)ival-div: 9.0ms (22.7% of total)ival-mult: 7.0ms (17.7% of total)ival-exp: 6.0ms (15.2% of total)backward-pass: 4.0ms (10.1% of total)ival-pow: 4.0ms (10.1% of total)const: 1.0ms (2.5% of total)| Inputs |
|---|
#<alt (+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))))> |
#<alt (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))> |
#<alt (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ 1 (exp b))> |
#<alt (exp b)> |
#<alt (/ (exp a) (+ (exp a) 1))> |
#<alt (exp a)> |
#<alt (+ (exp a) 1)> |
#<alt (/ (exp a) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2)))))> |
#<alt (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))> |
#<alt (pow (+ 1 (exp b)) 2)> |
#<alt (* a (+ 1 (* a 1/2)))> |
| Outputs |
|---|
#<alt (+ 1/2 (* 1/4 a))> |
#<alt (+ 1/2 (+ (* -1/4 b) (* 1/4 a)))> |
#<alt (+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4))))> |
#<alt (+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4))))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))> |
#<alt (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))> |
#<alt (* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b)))))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* 1/4 a)> |
#<alt (+ (* -1/16 (* a (pow b 2))) (* 1/4 a))> |
#<alt (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* 1/96 (* a (pow b 2))))))> |
#<alt (+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* (pow b 2) (+ (* -17/11520 (* a (pow b 2))) (* 1/96 a))))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (pow b 2)))> |
#<alt (+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16)))> |
#<alt (+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16)))> |
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))> |
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))> |
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))> |
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))> |
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))> |
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))> |
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))> |
#<alt (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/4 b))> |
#<alt (+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))> |
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt 2> |
#<alt (+ 2 b)> |
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt 1> |
#<alt (+ 1 b)> |
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt (exp b)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/4 a))> |
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))> |
#<alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt (/ (exp a) (+ 1 (exp a)))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt 2> |
#<alt (+ 2 a)> |
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (+ 1 (exp a))> |
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (* 2 (/ (exp a) (pow a 2)))> |
#<alt (/ (+ (* -4 (/ (exp a) a)) (* 2 (exp a))) (pow a 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))) (pow a 2))) (* 2 (exp a))) (* 4 (/ (exp a) a))) (pow a 2))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -8 (* (exp a) (+ 1 (exp b)))) (* -2 (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))))) (pow a 3))) (* 2 (exp a))) (+ (* -8 (/ (exp a) (pow a 2))) (+ (* 4 (/ (exp a) a)) (* 4 (/ (* (exp a) (+ 1 (exp b))) (pow a 2)))))) (pow a 2))> |
#<alt (* 2 (/ (exp a) (pow a 2)))> |
#<alt (/ (+ (* -4 (/ (exp a) a)) (* 2 (exp a))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (- (+ (* -8 (/ (exp a) a)) (* 4 (/ (* (exp a) (+ 1 (exp b))) a))) (* -4 (exp a))) a)) (* 2 (exp a))) (pow a 2))> |
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))) a)) (* 8 (/ (* (exp a) (+ 1 (exp b))) a))) (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b)))))) a)) (* -4 (exp a))) a)) (* 2 (exp a))) (pow a 2))> |
#<alt (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))))> |
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))))> |
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (+ (* -1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/6 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))))> |
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b)))))> |
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (+ a (exp b)))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2))))))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))> |
#<alt (* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a))))> |
#<alt 4> |
#<alt (+ 4 (* 4 b))> |
#<alt (+ 4 (* b (+ 4 (* 3 b))))> |
#<alt (+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b))))))> |
#<alt (pow (+ 1 (exp b)) 2)> |
#<alt (pow (+ 1 (exp b)) 2)> |
#<alt (pow (+ 1 (exp b)) 2)> |
#<alt (pow (+ 1 (exp b)) 2)> |
#<alt (pow (+ 1 (exp b)) 2)> |
#<alt (pow (+ 1 (exp b)) 2)> |
#<alt (pow (+ 1 (exp b)) 2)> |
#<alt (pow (+ 1 (exp b)) 2)> |
#<alt a> |
#<alt (* a (+ 1 (* 1/2 a)))> |
#<alt (* a (+ 1 (* 1/2 a)))> |
#<alt (* a (+ 1 (* 1/2 a)))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | 0 | (* a (+ 1 (* a 1/2))) |
| 2.0ms | a | @ | -inf | (+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))) |
| 2.0ms | a | @ | inf | (+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))) |
| 2.0ms | b | @ | inf | (+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))) |
| 2.0ms | b | @ | -inf | (+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))) |
| 1× | batch-egg-rewrite |
| 4118× | *-lowering-*.f32 |
| 4118× | *-lowering-*.f64 |
| 4038× | /-lowering-/.f32 |
| 4038× | /-lowering-/.f64 |
| 2560× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 114 |
| 1 | 154 | 107 |
| 2 | 1636 | 104 |
| 0 | 9707 | 104 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ 1 (+ 1 (exp b))) (* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))))) |
(* a (+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2)))) |
(+ (/ 1 (+ 1 (exp b))) (/ -1 (pow (+ 1 (exp b)) 2))) |
(/ 1 (+ 1 (exp b))) |
(+ 1 (exp b)) |
(exp b) |
(/ (exp a) (+ (exp a) 1)) |
(exp a) |
(+ (exp a) 1) |
(/ (exp a) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))) |
(+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2)))) |
(pow (+ 1 (exp b)) 2) |
(* a (+ 1 (* a 1/2))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64))))) |
(+.f64 (*.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(+.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 a (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) |
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(exp.f64 (log1p.f64 (exp.f64 b))) |
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(exp.f64 b) |
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(*.f64 (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))) (expm1.f64 a)) |
(exp.f64 a) |
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(pow.f64 (exp.f64 #s(literal 1 binary64)) a) |
(*.f64 #s(literal 1 binary64) (exp.f64 a)) |
(*.f64 (exp.f64 a) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+.f64 (exp.f64 a) #s(literal 1 binary64)) |
(-.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (expm1.f64 a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a)))) |
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(pow.f64 (/.f64 (expm1.f64 a) (expm1.f64 (+.f64 a a))) #s(literal -1 binary64)) |
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(*.f64 (expm1.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (expm1.f64 a))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 a)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 a)))) |
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
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(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) |
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (exp.f64 a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))) |
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(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 b))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 #s(literal 1 binary64) (exp.f64 b))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 b))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 b)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) a) |
(fma.f64 #s(literal 1 binary64) a (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(fma.f64 a #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) |
(fma.f64 a (*.f64 a #s(literal 1/2 binary64)) a) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a a) a) |
(fma.f64 (*.f64 a #s(literal 1/2 binary64)) a a) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) a) |
(/.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) (*.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) (-.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))) |
(/.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 1/2 binary64)) (-.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64))) a) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal 1/2 binary64)) (-.f64 (*.f64 a #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 1/4 binary64))) a) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) a) |
| 1× | egg-herbie |
| 4894× | +-lowering-+.f64 |
| 4894× | +-lowering-+.f32 |
| 3392× | *-lowering-*.f32 |
| 3392× | *-lowering-*.f64 |
| 1228× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 296 | 2515 |
| 1 | 906 | 2369 |
| 2 | 3076 | 2292 |
| 0 | 8245 | 2292 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4)))) |
(+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (+ (/ 1 (* a (+ 1 (exp b)))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b))))))) |
(* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b))))))) |
(* -1 (* a (- (* -1 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (* a (+ 1 (exp b))))))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* 1/4 a) |
(+ (* -1/16 (* a (pow b 2))) (* 1/4 a)) |
(+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* 1/96 (* a (pow b 2)))))) |
(+ (* 1/4 a) (* (pow b 2) (+ (* -1/16 a) (* (pow b 2) (+ (* -17/11520 (* a (pow b 2))) (* 1/96 a)))))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
(* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) |
1/4 |
(+ 1/4 (* -1/16 (pow b 2))) |
(+ 1/4 (* (pow b 2) (- (* 1/96 (pow b 2)) 1/16))) |
(+ 1/4 (* (pow b 2) (- (* (pow b 2) (+ 1/96 (* -17/11520 (pow b 2)))) 1/16))) |
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) |
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) |
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) |
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) |
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) |
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) |
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) |
(- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) |
1/2 |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4))) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
(/ 1 (+ 1 (exp b))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
1 |
(+ 1 b) |
(+ 1 (* b (+ 1 (* 1/2 b)))) |
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
(exp b) |
1/2 |
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) |
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
(/ (exp a) (+ 1 (exp a))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
2 |
(+ 2 a) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(+ 1 (exp a)) |
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(* 2 (/ (exp a) (pow a 2))) |
(/ (+ (* -4 (/ (exp a) a)) (* 2 (exp a))) (pow a 2)) |
(/ (- (+ (* -1 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))) (pow a 2))) (* 2 (exp a))) (* 4 (/ (exp a) a))) (pow a 2)) |
(/ (- (+ (* -1 (/ (+ (* -8 (* (exp a) (+ 1 (exp b)))) (* -2 (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))))) (pow a 3))) (* 2 (exp a))) (+ (* -8 (/ (exp a) (pow a 2))) (+ (* 4 (/ (exp a) a)) (* 4 (/ (* (exp a) (+ 1 (exp b))) (pow a 2)))))) (pow a 2)) |
(* 2 (/ (exp a) (pow a 2))) |
(/ (+ (* -4 (/ (exp a) a)) (* 2 (exp a))) (pow a 2)) |
(/ (+ (* -1 (/ (- (+ (* -8 (/ (exp a) a)) (* 4 (/ (* (exp a) (+ 1 (exp b))) a))) (* -4 (exp a))) a)) (* 2 (exp a))) (pow a 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))) a)) (* 8 (/ (* (exp a) (+ 1 (exp b))) a))) (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b)))))) a)) (* -4 (exp a))) a)) (* 2 (exp a))) (pow a 2)) |
(/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a)))))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a)))))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (+ (* -1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/6 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a)))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+ 2 (+ b (* a (+ 1 (* 1/2 a))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (exp b)) |
(+ 1 (+ a (exp b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a)))) |
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a)))) |
4 |
(+ 4 (* 4 b)) |
(+ 4 (* b (+ 4 (* 3 b)))) |
(+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b)))))) |
(pow (+ 1 (exp b)) 2) |
(pow (+ 1 (exp b)) 2) |
(pow (+ 1 (exp b)) 2) |
(pow (+ 1 (exp b)) 2) |
(pow (+ 1 (exp b)) 2) |
(pow (+ 1 (exp b)) 2) |
(pow (+ 1 (exp b)) 2) |
(pow (+ 1 (exp b)) 2) |
a |
(* a (+ 1 (* 1/2 a))) |
(* a (+ 1 (* 1/2 a))) |
(* a (+ 1 (* 1/2 a))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
| Outputs |
|---|
(+ 1/2 (* 1/4 a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+ 1/2 (+ (* -1/4 b) (* 1/4 a))) |
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) a) (*.f64 #s(literal -1/4 binary64) b))) |
(+ 1/2 (+ (* 1/4 a) (* b (- (* -1/16 (* a b)) 1/4)))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 a (*.f64 b #s(literal -1/16 binary64)))))) |
(+ 1/2 (+ (* 1/4 a) (* b (- (* b (+ (* -1/16 a) (* 1/48 b))) 1/4)))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (+.f64 (*.f64 a #s(literal -1/16 binary64)) (*.f64 b #s(literal 1/48 binary64))))))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
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1/4 |
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1/2 |
#s(literal 1/2 binary64) |
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(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
(exp b) |
(exp.f64 b) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
(/ (exp a) (+ 1 (exp a))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
2 |
#s(literal 2 binary64) |
(+ 2 a) |
(+.f64 a #s(literal 2 binary64)) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(+ 1 (exp a)) |
(+.f64 #s(literal 1 binary64) (exp.f64 a)) |
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (*.f64 a (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))))))))))) |
(* 2 (/ (exp a) (pow a 2))) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (exp.f64 a) a) a)) |
(/ (+ (* -4 (/ (exp a) a)) (* 2 (exp a))) (pow a 2)) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -4 binary64) a) #s(literal 2 binary64))) (*.f64 a a)) |
(/ (- (+ (* -1 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))) (pow a 2))) (* 2 (exp a))) (* 4 (/ (exp a) a))) (pow a 2)) |
(/.f64 (-.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -4 binary64) a) #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 a) (+.f64 #s(literal -8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (exp.f64 b))))) (*.f64 a a))) (*.f64 a a)) |
(/ (- (+ (* -1 (/ (+ (* -8 (* (exp a) (+ 1 (exp b)))) (* -2 (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))))) (pow a 3))) (* 2 (exp a))) (+ (* -8 (/ (exp a) (pow a 2))) (+ (* 4 (/ (exp a) a)) (* 4 (/ (* (exp a) (+ 1 (exp b))) (pow a 2)))))) (pow a 2)) |
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 a) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) (*.f64 a a)))) (*.f64 #s(literal -4 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal 1 binary64)) (/.f64 (exp.f64 a) a)))) (/.f64 (+.f64 (*.f64 (exp.f64 a) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 a)) #s(literal -16 binary64))) (*.f64 a (*.f64 a a)))) (*.f64 a a)) |
(* 2 (/ (exp a) (pow a 2))) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (exp.f64 a) a) a)) |
(/ (+ (* -4 (/ (exp a) a)) (* 2 (exp a))) (pow a 2)) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -4 binary64) a) #s(literal 2 binary64))) (*.f64 a a)) |
(/ (+ (* -1 (/ (- (+ (* -8 (/ (exp a) a)) (* 4 (/ (* (exp a) (+ 1 (exp b))) a))) (* -4 (exp a))) a)) (* 2 (exp a))) (pow a 2)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 (exp.f64 a) #s(literal 4 binary64))) a) (*.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -8 binary64) a) #s(literal 4 binary64)))) a)) (*.f64 a a)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b))))) a)) (* 8 (/ (* (exp a) (+ 1 (exp b))) a))) (+ (* -8 (exp a)) (* 4 (* (exp a) (+ 1 (exp b)))))) a)) (* -4 (exp a))) a)) (* 2 (exp a))) (pow a 2)) |
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (exp.f64 a)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 a) (+.f64 #s(literal -8 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (exp.f64 b)))))) a) (*.f64 (exp.f64 a) (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal 8 binary64)) #s(literal -8 binary64)))) a) (*.f64 (exp.f64 a) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a) #s(literal 4 binary64)) #s(literal 4 binary64)))) a)) (*.f64 a a)) |
(/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a))))) |
(/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(+ (* -1 (/ (* b (exp a)) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a)))))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (/.f64 (/.f64 (*.f64 b (exp.f64 a)) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a)))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (*.f64 b (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (/.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (+ (* -1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/6 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 3))) (* 1/2 (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (/ (exp a) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (/ (exp a) (+ 2 (* a (+ 1 (* 1/2 a)))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (*.f64 b (-.f64 (*.f64 b (-.f64 (*.f64 b (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (/.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) #s(literal 1/2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))))) (*.f64 (/.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) #s(literal 1/2 binary64))))) (/.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(/ (exp a) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(+ 2 (* a (+ 1 (* 1/2 a)))) |
(+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(+ 2 (+ b (* a (+ 1 (* 1/2 a))))) |
(+.f64 b (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* 1/2 b))))) |
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) |
(+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (+ a (exp b))) |
(+.f64 #s(literal 1 binary64) (+.f64 a (exp.f64 b))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (/.f64 (exp.f64 b) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1/2 binary64)))))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (+ (/ 1 (pow a 2)) (/ (exp b) (pow a 2)))))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (/.f64 (exp.f64 b) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1/2 binary64)))))) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a)))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) a))) |
(* (pow a 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp b)) a)) 1) a)))) |
(*.f64 (*.f64 a a) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) a)) a))) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 4 b)) |
(+.f64 #s(literal 4 binary64) (*.f64 b #s(literal 4 binary64))) |
(+ 4 (* b (+ 4 (* 3 b)))) |
(+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b #s(literal 3 binary64))))) |
(+ 4 (* b (+ 4 (* b (+ 3 (* 5/3 b)))))) |
(+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 #s(literal 4 binary64) (*.f64 b (+.f64 #s(literal 3 binary64) (*.f64 b #s(literal 5/3 binary64))))))) |
(pow (+ 1 (exp b)) 2) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) |
(pow (+ 1 (exp b)) 2) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) |
(pow (+ 1 (exp b)) 2) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) |
(pow (+ 1 (exp b)) 2) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) |
(pow (+ 1 (exp b)) 2) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) |
(pow (+ 1 (exp b)) 2) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) |
(pow (+ 1 (exp b)) 2) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) |
(pow (+ 1 (exp b)) 2) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)) |
a |
(* a (+ 1 (* 1/2 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
(* a (+ 1 (* 1/2 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
(* a (+ 1 (* 1/2 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
(* 1/2 (pow a 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a a)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
Compiled 34078 to 3141 computations (90.8% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1087 | 9 | 1096 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 1089 | 11 | 1100 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
| ✓ | 68.3% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
| 67.2% | (/.f64 (exp.f64 a) #s(literal 2 binary64)) | |
| ▶ | 38.6% | (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
| 59.3% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) | |
| ▶ | 55.1% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
| ✓ | 80.8% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
| ▶ | 40.8% | (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
| 40.7% | (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) | |
| 40.8% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) | |
| ▶ | 40.4% | #s(literal 1/2 binary64) |
Compiled 235 to 174 computations (26% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) |
| ✓ | cost-diff | 0 | (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
| ✓ | cost-diff | 0 | (+.f64 b #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)) |
| ✓ | cost-diff | 0 | (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
| 1160× | fma-define |
| 988× | fma-lowering-fma.f32 |
| 988× | fma-lowering-fma.f64 |
| 446× | *-lowering-*.f32 |
| 446× | *-lowering-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 206 |
| 1 | 92 | 181 |
| 2 | 265 | 181 |
| 3 | 617 | 181 |
| 4 | 999 | 181 |
| 5 | 1255 | 181 |
| 6 | 1302 | 181 |
| 7 | 1329 | 181 |
| 8 | 1430 | 181 |
| 9 | 1555 | 181 |
| 10 | 1565 | 181 |
| 0 | 1565 | 181 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
1 |
(* a (+ 1 (* 1/2 a))) |
a |
(+ 1 (* 1/2 a)) |
(* 1/2 a) |
1/2 |
(+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2)))) |
(+ 1 (exp b)) |
(exp b) |
b |
(* a (+ 1 (* a 1/2))) |
(+ 1 (* a 1/2)) |
(* a 1/2) |
1/2 |
(/ 1 (+ b 2)) |
1 |
(+ b 2) |
b |
2 |
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) |
1 |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
2 |
(* b (+ 1 (* 1/2 b))) |
b |
(+ 1 (* 1/2 b)) |
(* 1/2 b) |
1/2 |
(+ 1/2 (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))))) |
1/2 |
(* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))) |
a |
(+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))) |
1/4 |
(* (* a a) (+ -1/48 (* (* a a) 1/480))) |
(* a a) |
(+ -1/48 (* (* a a) 1/480)) |
-1/48 |
(* (* a a) 1/480) |
1/480 |
| Outputs |
|---|
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) |
1 |
#s(literal 1 binary64) |
(* a (+ 1 (* 1/2 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
a |
(+ 1 (* 1/2 a)) |
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(exp b) |
(exp.f64 b) |
b |
(* a (+ 1 (* a 1/2))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(+ 1 (* a 1/2)) |
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) |
(* a 1/2) |
(*.f64 a #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1 (+ b 2)) |
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ b 2) |
(+.f64 b #s(literal 2 binary64)) |
b |
2 |
#s(literal 2 binary64) |
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
1 |
#s(literal 1 binary64) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) |
2 |
#s(literal 2 binary64) |
(* b (+ 1 (* 1/2 b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) |
b |
(+ 1 (* 1/2 b)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) |
(* 1/2 b) |
(*.f64 #s(literal 1/2 binary64) b) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
1/2 |
#s(literal 1/2 binary64) |
(* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))) |
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))) |
a |
(+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))) |
1/4 |
#s(literal 1/4 binary64) |
(* (* a a) (+ -1/48 (* (* a a) 1/480))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) |
(* a a) |
(*.f64 a a) |
(+ -1/48 (* (* a a) 1/480)) |
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))) |
-1/48 |
#s(literal -1/48 binary64) |
(* (* a a) 1/480) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
1/480 |
#s(literal 1/480 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) b) |
| ✓ | accuracy | 100.0% | (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
| ✓ | accuracy | 100.0% | (+.f64 b #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (exp.f64 b)) |
| ✓ | accuracy | 100.0% | (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))) |
| ✓ | accuracy | 84.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
| 100.0ms | 256× | 0 | valid |
Compiled 213 to 34 computations (84% saved)
ival-mult: 21.0ms (38.5% of total)ival-add: 14.0ms (25.6% of total)...c/correct-round.rkt:119:19: 9.0ms (16.5% of total)ival-div: 8.0ms (14.7% of total)ival-exp: 2.0ms (3.7% of total)const: 1.0ms (1.8% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2)))))> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (* a (+ 1 (* 1/2 a)))> |
#<alt (+ 1 (* 1/2 a))> |
#<alt (/ 1 (+ b 2))> |
#<alt (+ b 2)> |
#<alt (/ 1 (+ 2 (* b (+ 1 (* 1/2 b)))))> |
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))> |
#<alt (* b (+ 1 (* 1/2 b)))> |
#<alt (+ 1 (* 1/2 b))> |
#<alt (+ 1/2 (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))))> |
#<alt (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))))> |
#<alt (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))> |
#<alt (* (* a a) (+ -1/48 (* (* a a) 1/480)))> |
#<alt (* a (+ 1 (* a 1/2)))> |
#<alt (+ 1 (exp b))> |
#<alt (* 1/2 b)> |
#<alt (* (* a a) 1/480)> |
#<alt (+ -1/48 (* (* a a) 1/480))> |
| Outputs |
|---|
#<alt (/ 1 (+ 1 (exp b)))> |
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))> |
#<alt 1> |
#<alt (- (+ 1 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))> |
#<alt (- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))> |
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -4 (- 2 (* 2 (+ 1 (exp b))))) (* 2 (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))))) (pow a 4))) (* 2 (/ 1 (pow a 2))))) (+ (* 2 (/ (+ 1 (exp b)) (pow a 2))) (* 2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3)))))> |
#<alt 1> |
#<alt (- (+ 1 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))> |
#<alt (- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))> |
#<alt (- (+ 1 (+ (* -1 (/ (- (+ (* -4 (/ (- 2 (* 2 (+ 1 (exp b)))) a)) (* 2 (/ (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))) a))) (* -2 (- 2 (* 2 (+ 1 (exp b)))))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2))))> |
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 2 (* a (+ 1 (* 1/2 a)))))> |
#<alt (+ (* -1 (* b (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))> |
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))> |
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/6 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a)))))))> |
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a))))))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))> |
#<alt a> |
#<alt (* a (+ 1 (* 1/2 a)))> |
#<alt (* a (+ 1 (* 1/2 a)))> |
#<alt (* a (+ 1 (* 1/2 a)))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 a))> |
#<alt (+ 1 (* 1/2 a))> |
#<alt (+ 1 (* 1/2 a))> |
#<alt (* 1/2 a)> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* 1/2 a)> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt (* a (+ 1/2 (/ 1 a)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/4 b))> |
#<alt (+ 1/2 (* b (- (* 1/8 b) 1/4)))> |
#<alt (+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))> |
#<alt (/ 1 b)> |
#<alt (/ (- 1 (* 2 (/ 1 b))) b)> |
#<alt (/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)> |
#<alt (/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)> |
#<alt (/ 1 b)> |
#<alt (* -1 (/ (- (* 2 (/ 1 b)) 1) b))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b))> |
#<alt 2> |
#<alt (+ 2 b)> |
#<alt (+ 2 b)> |
#<alt (+ 2 b)> |
#<alt b> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt b> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt (* b (+ 1 (* 2 (/ 1 b))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/4 b))> |
#<alt (+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))> |
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))> |
#<alt (/ 2 (pow b 2))> |
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))> |
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))> |
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))> |
#<alt (/ 2 (pow b 2))> |
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))> |
#<alt (/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))> |
#<alt (/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))> |
#<alt 2> |
#<alt (+ 2 b)> |
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))> |
#<alt (* 1/2 (pow b 2))> |
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))> |
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))> |
#<alt (* 1/2 (pow b 2))> |
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))> |
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))> |
#<alt b> |
#<alt (* b (+ 1 (* 1/2 b)))> |
#<alt (* b (+ 1 (* 1/2 b)))> |
#<alt (* b (+ 1 (* 1/2 b)))> |
#<alt (* 1/2 (pow b 2))> |
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))> |
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))> |
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))> |
#<alt (* 1/2 (pow b 2))> |
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))> |
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))> |
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 b))> |
#<alt (+ 1 (* 1/2 b))> |
#<alt (+ 1 (* 1/2 b))> |
#<alt (* 1/2 b)> |
#<alt (* b (+ 1/2 (/ 1 b)))> |
#<alt (* b (+ 1/2 (/ 1 b)))> |
#<alt (* b (+ 1/2 (/ 1 b)))> |
#<alt (* 1/2 b)> |
#<alt (* b (+ 1/2 (/ 1 b)))> |
#<alt (* b (+ 1/2 (/ 1 b)))> |
#<alt (* b (+ 1/2 (/ 1 b)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/4 a))> |
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))> |
#<alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))> |
#<alt (* 1/480 (pow a 5))> |
#<alt (* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* 1/480 (pow a 5))> |
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))> |
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))> |
#<alt (* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480)))> |
#<alt (* 1/4 a)> |
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))> |
#<alt (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))> |
#<alt (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))> |
#<alt (* 1/480 (pow a 5))> |
#<alt (* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* 1/480 (pow a 5))> |
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))> |
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))> |
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/48 (pow a 2)))> |
#<alt (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))> |
#<alt (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))> |
#<alt (* 1/480 (pow a 4))> |
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* 1/480 (pow a 4))> |
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* -1/48 (pow a 2))> |
#<alt (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))> |
#<alt (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))> |
#<alt (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))> |
#<alt (* 1/480 (pow a 4))> |
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* 1/480 (pow a 4))> |
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt a> |
#<alt (* a (+ 1 (* 1/2 a)))> |
#<alt (* a (+ 1 (* 1/2 a)))> |
#<alt (* a (+ 1 (* 1/2 a)))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* 1/2 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))> |
#<alt 2> |
#<alt (+ 2 b)> |
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (+ 1 (exp b))> |
#<alt (* 1/2 b)> |
#<alt (* 1/2 b)> |
#<alt (* 1/2 b)> |
#<alt (* 1/2 b)> |
#<alt (* 1/2 b)> |
#<alt (* 1/2 b)> |
#<alt (* 1/2 b)> |
#<alt (* 1/2 b)> |
#<alt (* 1/2 b)> |
#<alt (* 1/2 b)> |
#<alt (* 1/2 b)> |
#<alt (* 1/2 b)> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt -1/48> |
#<alt (- (* 1/480 (pow a 2)) 1/48)> |
#<alt (- (* 1/480 (pow a 2)) 1/48)> |
#<alt (- (* 1/480 (pow a 2)) 1/48)> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))) |
| 1.0ms | b | @ | inf | (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))) |
| 1.0ms | b | @ | -inf | (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))) |
| 1.0ms | a | @ | inf | (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))) |
| 0.0ms | a | @ | inf | (+ 1/2 (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))))) |
| 1× | batch-egg-rewrite |
| 3714× | *-lowering-*.f32 |
| 3714× | *-lowering-*.f64 |
| 3328× | /-lowering-/.f32 |
| 3328× | /-lowering-/.f64 |
| 2812× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 162 |
| 1 | 252 | 139 |
| 2 | 2182 | 139 |
| 0 | 10046 | 139 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ (+ 1 (exp b)) (* a (+ 1 (* a 1/2))))) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(* a (+ 1 (* 1/2 a))) |
(+ 1 (* 1/2 a)) |
(/ 1 (+ b 2)) |
(+ b 2) |
(/ 1 (+ 2 (* b (+ 1 (* 1/2 b))))) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(* b (+ 1 (* 1/2 b))) |
(+ 1 (* 1/2 b)) |
(+ 1/2 (* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))))) |
(* a (+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480))))) |
(+ 1/4 (* (* a a) (+ -1/48 (* (* a a) 1/480)))) |
(* (* a a) (+ -1/48 (* (* a a) 1/480))) |
(* a (+ 1 (* a 1/2))) |
(+ 1 (exp b)) |
(* 1/2 b) |
(* (* a a) 1/480) |
(+ -1/48 (* (* a a) 1/480)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (exp.f64 b) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))) |
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(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) a) |
(*.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) a) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+.f64 (exp.f64 b) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (expm1.f64 b)) (/.f64 #s(literal 1 binary64) (expm1.f64 b))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 b) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 b) #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b))))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 b b))) (neg.f64 (expm1.f64 b))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 b) (expm1.f64 b))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) |
(*.f64 #s(literal 1/2 binary64) b) |
(*.f64 b #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a #s(literal 1/480 binary64))) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a a)) |
(*.f64 (*.f64 a #s(literal 1/480 binary64)) a) |
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))) |
(+.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) |
(-.f64 (/.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64)))) |
(fma.f64 a (*.f64 a #s(literal 1/480 binary64)) #s(literal -1/48 binary64)) |
(fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) |
(fma.f64 #s(literal 1/480 binary64) (*.f64 a a) #s(literal -1/48 binary64)) |
(fma.f64 (*.f64 a #s(literal 1/480 binary64)) a #s(literal -1/48 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64)))) (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64)))) (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)))))) |
(/.f64 (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)))) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64))))) |
(/.f64 (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 #s(literal -1/23040 binary64) (*.f64 a a))))) |
(/.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64))) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64))))) (neg.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 #s(literal -1/23040 binary64) (*.f64 a a)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)))) (neg.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) #s(literal 1/2304 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2304 binary64) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)) #s(literal 1/2304 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64)))) (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) #s(literal -1/48 binary64)))))) |
(*.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))))) |
| 1× | egg-herbie |
| 4598× | +-lowering-+.f64 |
| 4598× | +-lowering-+.f32 |
| 3436× | *-lowering-*.f32 |
| 3436× | *-lowering-*.f64 |
| 1170× | --lowering--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 302 | 2650 |
| 1 | 956 | 2336 |
| 2 | 2952 | 2263 |
| 0 | 8260 | 2263 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
1 |
(- (+ 1 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2)))) |
(- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2)))) |
(- (+ 1 (+ (* -1 (/ (+ (* -4 (- 2 (* 2 (+ 1 (exp b))))) (* 2 (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))))) (pow a 4))) (* 2 (/ 1 (pow a 2))))) (+ (* 2 (/ (+ 1 (exp b)) (pow a 2))) (* 2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))))) |
1 |
(- (+ 1 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2)))) |
(- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2)))) |
(- (+ 1 (+ (* -1 (/ (- (+ (* -4 (/ (- 2 (* 2 (+ 1 (exp b)))) a)) (* 2 (/ (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))) a))) (* -2 (- 2 (* 2 (+ 1 (exp b)))))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2)))) |
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 2 (* a (+ 1 (* 1/2 a))))) |
(+ (* -1 (* b (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a))))))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a))))))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/6 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a))))))) |
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
a |
(* a (+ 1 (* 1/2 a))) |
(* a (+ 1 (* 1/2 a))) |
(* a (+ 1 (* 1/2 a))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
1 |
(+ 1 (* 1/2 a)) |
(+ 1 (* 1/2 a)) |
(+ 1 (* 1/2 a)) |
(* 1/2 a) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
(* 1/2 a) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
(* a (+ 1/2 (/ 1 a))) |
1/2 |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (* b (- (* 1/8 b) 1/4))) |
(+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4))) |
(/ 1 b) |
(/ (- 1 (* 2 (/ 1 b))) b) |
(/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b) |
(/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b) |
(/ 1 b) |
(* -1 (/ (- (* 2 (/ 1 b)) 1) b)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b)) |
2 |
(+ 2 b) |
(+ 2 b) |
(+ 2 b) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(* b (+ 1 (* 2 (/ 1 b)))) |
1/2 |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4))) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4))) |
(/ 2 (pow b 2)) |
(/ (- 2 (* 4 (/ 1 b))) (pow b 2)) |
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2)) |
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2)) |
(/ 2 (pow b 2)) |
(/ (- 2 (* 4 (/ 1 b))) (pow b 2)) |
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2)) |
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2)) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
b |
(* b (+ 1 (* 1/2 b))) |
(* b (+ 1 (* 1/2 b))) |
(* b (+ 1 (* 1/2 b))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
1 |
(+ 1 (* 1/2 b)) |
(+ 1 (* 1/2 b)) |
(+ 1 (* 1/2 b)) |
(* 1/2 b) |
(* b (+ 1/2 (/ 1 b))) |
(* b (+ 1/2 (/ 1 b))) |
(* b (+ 1/2 (/ 1 b))) |
(* 1/2 b) |
(* b (+ 1/2 (/ 1 b))) |
(* b (+ 1/2 (/ 1 b))) |
(* b (+ 1/2 (/ 1 b))) |
1/2 |
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) |
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) |
(* 1/480 (pow a 5)) |
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2))))) |
(* 1/480 (pow a 5)) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4)))))) |
(* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480))) |
(* 1/4 a) |
(* a (+ 1/4 (* -1/48 (pow a 2)))) |
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))) |
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))) |
(* 1/480 (pow a 5)) |
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(* 1/480 (pow a 5)) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4)))))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4)))))) |
1/4 |
(+ 1/4 (* -1/48 (pow a 2))) |
(+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))) |
(+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))) |
(* 1/480 (pow a 4)) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(* 1/480 (pow a 4)) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(* -1/48 (pow a 2)) |
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)) |
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)) |
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)) |
(* 1/480 (pow a 4)) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* 1/480 (pow a 4)) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
a |
(* a (+ 1 (* 1/2 a))) |
(* a (+ 1 (* 1/2 a))) |
(* a (+ 1 (* 1/2 a))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* 1/2 (pow a 2)) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(+ 1 (exp b)) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/2 b) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
-1/48 |
(- (* 1/480 (pow a 2)) 1/48) |
(- (* 1/480 (pow a 2)) 1/48) |
(- (* 1/480 (pow a 2)) 1/48) |
(* 1/480 (pow a 2)) |
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* 1/480 (pow a 2)) |
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
| Outputs |
|---|
(/ 1 (+ 1 (exp b))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))) |
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4)))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (*.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (*.f64 a (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))))))))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a))) |
(- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a)) (*.f64 (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a)) (/.f64 #s(literal -2 binary64) a)))) |
(- (+ 1 (+ (* -1 (/ (+ (* -4 (- 2 (* 2 (+ 1 (exp b))))) (* 2 (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))))) (pow a 4))) (* 2 (/ 1 (pow a 2))))) (+ (* 2 (/ (+ 1 (exp b)) (pow a 2))) (* 2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 (exp.f64 b) #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a)) (*.f64 (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a)) (/.f64 #s(literal -2 binary64) a)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* 2 (/ 1 (pow a 2)))) (* 2 (/ (+ 1 (exp b)) (pow a 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a))) |
(- (+ 1 (+ (* -2 (/ (- 2 (* 2 (+ 1 (exp b)))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a)) (*.f64 (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a)) (/.f64 #s(literal -2 binary64) a)))) |
(- (+ 1 (+ (* -1 (/ (- (+ (* -4 (/ (- 2 (* 2 (+ 1 (exp b)))) a)) (* 2 (/ (* (+ 1 (exp b)) (- 2 (* 2 (+ 1 (exp b))))) a))) (* -2 (- 2 (* 2 (+ 1 (exp b)))))) (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ (+ 1 (exp b)) (pow a 2)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) a) (+.f64 #s(literal -2 binary64) (*.f64 (exp.f64 b) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 b) #s(literal -2 binary64)))) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (exp.f64 b) #s(literal -2 binary64)) (*.f64 a a))) |
(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 2 (* a (+ 1 (* 1/2 a))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
(+ (* -1 (* b (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a))))))) |
(+.f64 (*.f64 b (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) (/.f64 (/.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (/.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))) |
(+ (* b (- (* -1 (* b (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a))))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (/.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) (*.f64 b (+.f64 (*.f64 b (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) (/.f64 (/.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) #s(literal -1/2 binary64)))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) (/.f64 (/.f64 (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))))))) |
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (+ (* -1/2 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/6 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))))) (+ (* -1 (/ (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))) (+ 2 (* a (+ 1 (* 1/2 a)))))) (* 1/2 (/ (+ 1 (* a (+ 1 (* 1/2 a)))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)))))) (+ (/ 1 (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2)) (/ (* a (+ 1 (* 1/2 a))) (pow (+ 2 (* a (+ 1 (* 1/2 a)))) 2))))) (+ (/ 1 (+ 2 (* a (+ 1 (* 1/2 a))))) (/ (* a (+ 1 (* 1/2 a))) (+ 2 (* a (+ 1 (* 1/2 a))))))) |
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(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
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(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
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(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
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(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
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(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
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(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
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(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
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(/ (+ 1 (* a (+ 1 (* 1/2 a)))) (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 #s(literal 1 binary64) a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) |
(* 1/2 (pow a 2)) |
(*.f64 a (*.f64 a #s(literal 1/2 binary64))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) |
(* 1/2 (pow a 2)) |
(*.f64 a (*.f64 a #s(literal 1/2 binary64))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) |
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) |
a |
(* a (+ 1 (* 1/2 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* a (+ 1 (* 1/2 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* a (+ 1 (* 1/2 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* 1/2 (pow a 2)) |
(*.f64 a (*.f64 a #s(literal 1/2 binary64))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* 1/2 (pow a 2)) |
(*.f64 a (*.f64 a #s(literal 1/2 binary64))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 a)) |
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(+ 1 (* 1/2 a)) |
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(+ 1 (* 1/2 a)) |
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) |
(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* a (+ 1/2 (/ 1 a))) |
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(* a (+ 1/2 (/ 1 a))) |
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(* a (+ 1/2 (/ 1 a))) |
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(* 1/2 a) |
(*.f64 a #s(literal 1/2 binary64)) |
(* a (+ 1/2 (/ 1 a))) |
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(* a (+ 1/2 (/ 1 a))) |
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(* a (+ 1/2 (/ 1 a))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 b)) |
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(+ 1/2 (* b (- (* 1/8 b) 1/4))) |
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(+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4))) |
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(/ 1 b) |
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(/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b) |
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(/ 1 b) |
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(* -1 (/ (- (* 2 (/ 1 b)) 1) b)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) b)) b) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b)) |
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b)) |
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2 |
#s(literal 2 binary64) |
(+ 2 b) |
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(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 b) |
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b |
(* b (+ 1 (* 2 (/ 1 b)))) |
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(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
b |
(* b (+ 1 (* 2 (/ 1 b)))) |
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(* b (+ 1 (* 2 (/ 1 b)))) |
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(* b (+ 1 (* 2 (/ 1 b)))) |
(+.f64 b #s(literal 2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 b)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64))) |
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/16 binary64))))) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4))) |
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(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ (- 2 (* 4 (/ 1 b))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b)) |
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2)) |
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(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2)) |
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(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ (- 2 (* 4 (/ 1 b))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b)) |
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (*.f64 b b))) b)) (*.f64 b b)) |
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2)) |
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2 |
#s(literal 2 binary64) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(* 1/2 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 1/2 binary64))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))) |
(* 1/2 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 1/2 binary64))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))) |
b |
(* b (+ 1 (* 1/2 b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) |
(* b (+ 1 (* 1/2 b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) |
(* b (+ 1 (* 1/2 b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) |
(* 1/2 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 1/2 binary64))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) |
(* 1/2 (pow b 2)) |
(*.f64 b (*.f64 b #s(literal 1/2 binary64))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 b)) |
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) |
(+ 1 (* 1/2 b)) |
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) |
(+ 1 (* 1/2 b)) |
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* b (+ 1/2 (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) |
(* b (+ 1/2 (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) |
(* b (+ 1/2 (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* b (+ 1/2 (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) |
(* b (+ 1/2 (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) |
(* b (+ 1/2 (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) |
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
(* 1/480 (pow a 5)) |
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64))) |
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 5 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))) |
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 5 binary64)))))) |
(* 1/480 (pow a 5)) |
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480))) |
(*.f64 (pow.f64 a #s(literal 5 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4)))))) |
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480))) |
(*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 a a)) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1/480 binary64)) #s(literal -1 binary64))) |
(* 1/4 a) |
(*.f64 a #s(literal 1/4 binary64)) |
(* a (+ 1/4 (* -1/48 (pow a 2)))) |
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64)))) |
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))) |
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))) |
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))) |
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))) |
(* 1/480 (pow a 5)) |
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64))) |
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 5 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))) |
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(* 1/480 (pow a 5)) |
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480))) |
(*.f64 (pow.f64 a #s(literal 5 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4)))))) |
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4)))))) |
(*.f64 (pow.f64 a #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))))) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* -1/48 (pow a 2))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))) |
(+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))) |
(+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))) |
(* 1/480 (pow a 4)) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/480 binary64)) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))) |
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(* 1/480 (pow a 4)) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/480 binary64)) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))) |
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(* (pow a 4) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))))) |
(* -1/48 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal -1/48 binary64)) |
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)) |
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) |
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)) |
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) |
(* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)) |
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) |
(* 1/480 (pow a 4)) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/480 binary64)) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))) |
(* 1/480 (pow a 4)) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/480 binary64)) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))) |
(* (pow a 4) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a)))) |
a |
(* a (+ 1 (* 1/2 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* a (+ 1 (* 1/2 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* a (+ 1 (* 1/2 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* 1/2 (pow a 2)) |
(*.f64 a (*.f64 a #s(literal 1/2 binary64))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* 1/2 (pow a 2)) |
(*.f64 a (*.f64 a #s(literal 1/2 binary64))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
(* (pow a 2) (+ 1/2 (/ 1 a))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))) |
2 |
#s(literal 2 binary64) |
(+ 2 b) |
(+.f64 b #s(literal 2 binary64)) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) |
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(+ 1 (exp b)) |
(+.f64 #s(literal 1 binary64) (exp.f64 b)) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* 1/2 b) |
(*.f64 b #s(literal 1/2 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
-1/48 |
#s(literal -1/48 binary64) |
(- (* 1/480 (pow a 2)) 1/48) |
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))) |
(- (* 1/480 (pow a 2)) 1/48) |
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))) |
(- (* 1/480 (pow a 2)) 1/48) |
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 a (*.f64 a (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))) |
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 a (*.f64 a (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))) |
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 a (*.f64 a (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 a (*.f64 a (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))) |
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 a (*.f64 a (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))) |
(* (pow a 2) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 a (*.f64 a (-.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 a a))))) |
Compiled 22312 to 2273 computations (89.8% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 770 | 11 | 781 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 774 | 18 | 792 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.3% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
| ▶ | 67.2% | (/.f64 (exp.f64 a) #s(literal 2 binary64)) |
| ▶ | 20.4% | (/.f64 #s(literal 2 binary64) (*.f64 b b)) |
| 38.2% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64)))))) | |
| ✓ | 38.6% | (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
| 43.5% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))))) | |
| 59.3% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) | |
| ✓ | 80.8% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
| ▶ | 46.7% | (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
| 20.0% | (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) | |
| 3.5% | (/.f64 #s(literal 1 binary64) b) | |
| ▶ | 40.5% | (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
| ✓ | 40.8% | (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
| 40.7% | (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) | |
| 40.8% | (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) | |
| 17.7% | (*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64))) | |
| ▶ | 24.1% | #s(literal 1 binary64) |
| ✓ | 40.4% | #s(literal 1/2 binary64) |
Compiled 478 to 278 computations (41.8% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) a) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
| ✓ | cost-diff | 128 | (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))) |
| ✓ | cost-diff | 256 | (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
| ✓ | cost-diff | 0 | (*.f64 b b) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 b b)) |
| ✓ | cost-diff | 0 | (exp.f64 a) |
| ✓ | cost-diff | 0 | (/.f64 (exp.f64 a) #s(literal 2 binary64)) |
| 3222× | *-lowering-*.f32 |
| 3222× | *-lowering-*.f64 |
| 1518× | fma-lowering-fma.f32 |
| 1518× | fma-lowering-fma.f64 |
| 1434× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 317 |
| 1 | 92 | 295 |
| 2 | 370 | 278 |
| 3 | 1912 | 253 |
| 4 | 5972 | 253 |
| 0 | 8052 | 253 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp a) 2) |
(exp a) |
a |
2 |
1 |
(/ 2 (* b b)) |
2 |
(* b b) |
b |
(/ 1 (* b (+ 1 (* b (+ 1/2 (/ 2 (* b b))))))) |
1 |
(* b (+ 1 (* b (+ 1/2 (/ 2 (* b b)))))) |
b |
(+ 1 (* b (+ 1/2 (/ 2 (* b b))))) |
(* b (+ 1/2 (/ 2 (* b b)))) |
(+ 1/2 (/ 2 (* b b))) |
1/2 |
(/ 2 (* b b)) |
2 |
(* b b) |
(+ 1/2 (/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480))))))) |
1/2 |
(/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480)))))) |
(* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) |
(- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) |
1/16 |
(* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480))))) |
(* a a) |
a |
(* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))) |
(* a (+ -1/48 (* (* a a) 1/480))) |
(+ -1/48 (* (* a a) 1/480)) |
-1/48 |
(* (* a a) 1/480) |
1/480 |
(- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480))))) |
1/4 |
(* a (* a (+ -1/48 (* (* a a) 1/480)))) |
| Outputs |
|---|
(/ (exp a) 2) |
(/.f64 (exp.f64 a) #s(literal 2 binary64)) |
(exp a) |
(exp.f64 a) |
a |
2 |
#s(literal 2 binary64) |
1 |
#s(literal 1 binary64) |
(/ 2 (* b b)) |
(/.f64 (/.f64 #s(literal 2 binary64) b) b) |
2 |
#s(literal 2 binary64) |
(* b b) |
(*.f64 b b) |
b |
(/ 1 (* b (+ 1 (* b (+ 1/2 (/ 2 (* b b))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))) |
1 |
#s(literal 1 binary64) |
(* b (+ 1 (* b (+ 1/2 (/ 2 (* b b)))))) |
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
b |
(+ 1 (* b (+ 1/2 (/ 2 (* b b))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))) |
(* b (+ 1/2 (/ 2 (* b b)))) |
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) |
(+ 1/2 (/ 2 (* b b))) |
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) b) b) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 2 (* b b)) |
(/.f64 (/.f64 #s(literal 2 binary64) b) b) |
2 |
#s(literal 2 binary64) |
(* b b) |
(*.f64 b b) |
(+ 1/2 (/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480))))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a (+.f64 #s(literal 1/16 binary64) (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (-.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))))) |
1/2 |
#s(literal 1/2 binary64) |
(/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480)))))) |
(/.f64 (*.f64 a (+.f64 #s(literal 1/16 binary64) (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (-.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) |
(* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) |
(*.f64 a (+.f64 #s(literal 1/16 binary64) (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) |
(+.f64 #s(literal 1/16 binary64) (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))))) |
1/16 |
#s(literal 1/16 binary64) |
(* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480))))) |
(*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))) |
(* a a) |
(*.f64 a a) |
a |
(* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))) |
(*.f64 a (*.f64 a (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) |
(* a (+ -1/48 (* (* a a) 1/480))) |
(*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) |
(+ -1/48 (* (* a a) 1/480)) |
(+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) |
-1/48 |
#s(literal -1/48 binary64) |
(* (* a a) 1/480) |
(*.f64 a (*.f64 a #s(literal 1/480 binary64))) |
1/480 |
#s(literal 1/480 binary64) |
(- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480))))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (-.f64 #s(literal 1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) |
1/4 |
#s(literal 1/4 binary64) |
(* a (* a (+ -1/48 (* (* a a) 1/480)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))) |
| ✓ | accuracy | 99.6% | (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
| ✓ | accuracy | 76.6% | (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
| ✓ | accuracy | 99.9% | (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 2 binary64) (*.f64 b b)) |
| ✓ | accuracy | 74.6% | (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) |
| ✓ | accuracy | 100.0% | (*.f64 b b) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 2 binary64) (*.f64 b b)) |
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 a) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (exp.f64 a) |
| 95.0ms | 256× | 0 | valid |
Compiled 321 to 31 computations (90.3% saved)
ival-mult: 24.0ms (48.8% of total)ival-div: 7.0ms (14.2% of total)...c/correct-round.rkt:119:19: 7.0ms (14.2% of total)ival-add: 5.0ms (10.2% of total)ival-sub: 2.0ms (4.1% of total)ival-exp: 2.0ms (4.1% of total)const: 1.0ms (2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (exp a) 2)> |
#<alt (exp a)> |
#<alt (/ 2 (* b b))> |
#<alt (* b b)> |
#<alt (/ 1 (* b (+ 1 (* b (+ 1/2 (/ 2 (* b b)))))))> |
#<alt (* b (+ 1 (* b (+ 1/2 (/ 2 (* b b))))))> |
#<alt (+ 1 (* b (+ 1/2 (/ 2 (* b b)))))> |
#<alt (* b (+ 1/2 (/ 2 (* b b))))> |
#<alt (+ 1/2 (/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480)))))))> |
#<alt (/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480))))))> |
#<alt (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a)> |
#<alt (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480))))))> |
#<alt (* (* a a) 1/480)> |
#<alt (* a (+ -1/48 (* (* a a) 1/480)))> |
#<alt (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480))))> |
| Outputs |
|---|
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 a))> |
#<alt (+ 1/2 (* a (+ 1/2 (* 1/4 a))))> |
#<alt (+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))> |
#<alt (* 1/2 (exp a))> |
#<alt (* 1/2 (exp a))> |
#<alt (* 1/2 (exp a))> |
#<alt (* 1/2 (exp a))> |
#<alt (* 1/2 (exp a))> |
#<alt (* 1/2 (exp a))> |
#<alt (* 1/2 (exp a))> |
#<alt (* 1/2 (exp a))> |
#<alt 1> |
#<alt (+ 1 a)> |
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))> |
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (exp a)> |
#<alt (/ 2 (pow b 2))> |
#<alt (/ 2 (pow b 2))> |
#<alt (/ 2 (pow b 2))> |
#<alt (/ 2 (pow b 2))> |
#<alt (/ 2 (pow b 2))> |
#<alt (/ 2 (pow b 2))> |
#<alt (/ 2 (pow b 2))> |
#<alt (/ 2 (pow b 2))> |
#<alt (/ 2 (pow b 2))> |
#<alt (/ 2 (pow b 2))> |
#<alt (/ 2 (pow b 2))> |
#<alt (/ 2 (pow b 2))> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt (pow b 2)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/4 b))> |
#<alt (+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))> |
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))> |
#<alt (/ 2 (pow b 2))> |
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))> |
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))> |
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))> |
#<alt (/ 2 (pow b 2))> |
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))> |
#<alt (/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))> |
#<alt (/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))> |
#<alt 2> |
#<alt (+ 2 b)> |
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))> |
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))> |
#<alt (* 1/2 (pow b 2))> |
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))> |
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))> |
#<alt (* 1/2 (pow b 2))> |
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))> |
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))> |
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))> |
#<alt (/ 2 b)> |
#<alt (/ (+ 2 b) b)> |
#<alt (/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)> |
#<alt (/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)> |
#<alt (* 1/2 b)> |
#<alt (* b (+ 1/2 (/ 1 b)))> |
#<alt (* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))> |
#<alt (* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))> |
#<alt (* 1/2 b)> |
#<alt (* b (+ 1/2 (/ 1 b)))> |
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))> |
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))> |
#<alt (/ 2 b)> |
#<alt (/ (+ 2 (* 1/2 (pow b 2))) b)> |
#<alt (/ (+ 2 (* 1/2 (pow b 2))) b)> |
#<alt (/ (+ 2 (* 1/2 (pow b 2))) b)> |
#<alt (* 1/2 b)> |
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))> |
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))> |
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))> |
#<alt (* 1/2 b)> |
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))> |
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))> |
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/4 a))> |
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))> |
#<alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))> |
#<alt (* 1/480 (pow a 5))> |
#<alt (* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* 1/480 (pow a 5))> |
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))> |
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))> |
#<alt (* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480)))> |
#<alt (* 1/4 a)> |
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))> |
#<alt (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))> |
#<alt (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))> |
#<alt (* 1/480 (pow a 5))> |
#<alt (* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* 1/480 (pow a 5))> |
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))> |
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))> |
#<alt (* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4))))))> |
#<alt (* 1/16 a)> |
#<alt (* a (+ 1/16 (* -1/2304 (pow a 4))))> |
#<alt (* a (+ 1/16 (* (pow a 4) (- (* 1/11520 (pow a 2)) 1/2304))))> |
#<alt (* a (+ 1/16 (* (pow a 4) (- (* (pow a 2) (+ 1/11520 (* -1/230400 (pow a 2)))) 1/2304))))> |
#<alt (* -1/230400 (pow a 9))> |
#<alt (* (pow a 9) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400))> |
#<alt (* (pow a 9) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4)))))> |
#<alt (* (pow a 9) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4)))))> |
#<alt (* -1/230400 (pow a 9))> |
#<alt (* -1 (* (pow a 9) (- 1/230400 (* 1/11520 (/ 1 (pow a 2))))))> |
#<alt (* -1 (* (pow a 9) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2))))))> |
#<alt (* -1 (* (pow a 9) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))))))> |
#<alt 1/16> |
#<alt (+ 1/16 (* -1/2304 (pow a 4)))> |
#<alt (+ 1/16 (* (pow a 4) (- (* 1/11520 (pow a 2)) 1/2304)))> |
#<alt (+ 1/16 (* (pow a 4) (- (* (pow a 2) (+ 1/11520 (* -1/230400 (pow a 2)))) 1/2304)))> |
#<alt (* -1/230400 (pow a 8))> |
#<alt (* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400))> |
#<alt (* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4)))))> |
#<alt (* (pow a 8) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4)))))> |
#<alt (* -1/230400 (pow a 8))> |
#<alt (* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400))> |
#<alt (* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4)))))> |
#<alt (* (pow a 8) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4)))))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* 1/480 (pow a 2))> |
#<alt (* -1/48 a)> |
#<alt (* a (- (* 1/480 (pow a 2)) 1/48))> |
#<alt (* a (- (* 1/480 (pow a 2)) 1/48))> |
#<alt (* a (- (* 1/480 (pow a 2)) 1/48))> |
#<alt (* 1/480 (pow a 3))> |
#<alt (* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2)))))> |
#<alt (* 1/480 (pow a 3))> |
#<alt (* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))> |
#<alt (* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))> |
#<alt (* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480)))> |
#<alt (* 1/2304 (pow a 2))> |
#<alt (* (pow a 2) (+ 1/2304 (* -1/11520 (pow a 2))))> |
#<alt (* (pow a 2) (+ 1/2304 (* (pow a 2) (- (* 1/230400 (pow a 2)) 1/11520))))> |
#<alt (* (pow a 2) (+ 1/2304 (* (pow a 2) (- (* 1/230400 (pow a 2)) 1/11520))))> |
#<alt (* 1/230400 (pow a 6))> |
#<alt (* (pow a 6) (- 1/230400 (* 1/11520 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))> |
#<alt (* 1/230400 (pow a 6))> |
#<alt (* (pow a 6) (- 1/230400 (* 1/11520 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))> |
#<alt (* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (* b (+ 1/2 (/ 2 (* b b)))) |
| 0.0ms | b | @ | 0 | (/ 2 (* b b)) |
| 0.0ms | a | @ | inf | (+ 1/2 (/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480))))))) |
| 0.0ms | a | @ | inf | (/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480)))))) |
| 0.0ms | a | @ | 0 | (/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480)))))) |
| 1× | batch-egg-rewrite |
| 3726× | *-lowering-*.f32 |
| 3726× | *-lowering-*.f64 |
| 3346× | /-lowering-/.f32 |
| 3346× | /-lowering-/.f64 |
| 1998× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 190 |
| 1 | 202 | 137 |
| 2 | 1822 | 125 |
| 0 | 8670 | 125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp a) 2) |
(exp a) |
(/ 2 (* b b)) |
(* b b) |
(/ 1 (* b (+ 1 (* b (+ 1/2 (/ 2 (* b b))))))) |
(* b (+ 1 (* b (+ 1/2 (/ 2 (* b b)))))) |
(+ 1 (* b (+ 1/2 (/ 2 (* b b))))) |
(* b (+ 1/2 (/ 2 (* b b)))) |
(+ 1/2 (/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480))))))) |
(/ (* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) (- 1/4 (* a (* a (+ -1/48 (* (* a a) 1/480)))))) |
(* (- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) a) |
(- 1/16 (* (* a a) (* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))))) |
(* (* a a) 1/480) |
(* a (+ -1/48 (* (* a a) 1/480))) |
(* (* a (+ -1/48 (* (* a a) 1/480))) (* a (+ -1/48 (* (* a a) 1/480)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64))) |
(neg.f64 (/.f64 (exp.f64 a) #s(literal -2 binary64))) |
(/.f64 (exp.f64 a) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)))) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 a) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (exp.f64 a)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) |
(exp.f64 a) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 b b))) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 #s(literal 2 binary64) b)))) |
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))))) |
(/.f64 (/.f64 #s(literal 2 binary64) b) b) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) b)) (neg.f64 b)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) b))) (neg.f64 (neg.f64 b))) |
(pow.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b (/.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) b)) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(pow.f64 b #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64)) |
(*.f64 b b) |
(*.f64 (*.f64 b b) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 b b)) |
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))) (/.f64 #s(literal 1 binary64) b))) |
(/.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))) (/.f64 #s(literal 1 binary64) b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b)) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) b))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (neg.f64 b)) |
(pow.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 b (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (pow.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b))))) |
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(fma.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64) (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) |
(fma.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64))) |
(fma.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64))))) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) #s(literal -1/48 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64)))) (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (+.f64 #s(literal -1/110592 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 1/110592000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (-.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) #s(literal -1/48 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/230400 binary64))))) (neg.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 #s(literal -1/480 binary64) (*.f64 a a))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a #s(literal -1/48 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a #s(literal -1/48 binary64))) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a #s(literal -1/48 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64))))) (*.f64 (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a #s(literal -1/48 binary64))) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64)) (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64)) (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64)) (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal -1/48 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) (*.f64 (*.f64 (*.f64 a #s(literal -1/48 binary64)) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a #s(literal 1/480 binary64))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) (-.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) (-.f64 (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) (*.f64 (*.f64 (*.f64 a (*.f64 a #s(literal 1/480 binary64))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))))))) |
(pow.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) #s(literal 2 binary64)) |
(*.f64 a (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) |
(*.f64 a (*.f64 a (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) |
(*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) |
(*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) |
(*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) |
(*.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))) a) |
(*.f64 (*.f64 (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))) (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))) (*.f64 a a)) |
(*.f64 (exp.f64 (log.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64))))))) (exp.f64 (log.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a #s(literal 1/480 binary64)))))))) |
| 1× | egg-herbie |
| 3688× | *-lowering-*.f32 |
| 3688× | *-lowering-*.f64 |
| 1826× | +-lowering-+.f64 |
| 1826× | +-lowering-+.f32 |
| 1798× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 1526 |
| 1 | 664 | 1450 |
| 2 | 1858 | 1397 |
| 3 | 6217 | 1396 |
| 0 | 8157 | 1396 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* 1/2 a)) |
(+ 1/2 (* a (+ 1/2 (* 1/4 a)))) |
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a)))))) |
(* 1/2 (exp a)) |
(* 1/2 (exp a)) |
(* 1/2 (exp a)) |
(* 1/2 (exp a)) |
(* 1/2 (exp a)) |
(* 1/2 (exp a)) |
(* 1/2 (exp a)) |
(* 1/2 (exp a)) |
1 |
(+ 1 a) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(exp a) |
(/ 2 (pow b 2)) |
(/ 2 (pow b 2)) |
(/ 2 (pow b 2)) |
(/ 2 (pow b 2)) |
(/ 2 (pow b 2)) |
(/ 2 (pow b 2)) |
(/ 2 (pow b 2)) |
(/ 2 (pow b 2)) |
(/ 2 (pow b 2)) |
(/ 2 (pow b 2)) |
(/ 2 (pow b 2)) |
(/ 2 (pow b 2)) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
1/2 |
(+ 1/2 (* -1/4 b)) |
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4))) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4))) |
(/ 2 (pow b 2)) |
(/ (- 2 (* 4 (/ 1 b))) (pow b 2)) |
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2)) |
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2)) |
(/ 2 (pow b 2)) |
(/ (- 2 (* 4 (/ 1 b))) (pow b 2)) |
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2)) |
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2)) |
2 |
(+ 2 b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(* 1/2 (pow b 2)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(/ 2 b) |
(/ (+ 2 b) b) |
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b) |
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b) |
(* 1/2 b) |
(* b (+ 1/2 (/ 1 b))) |
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(* 1/2 b) |
(* b (+ 1/2 (/ 1 b))) |
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2))) |
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2))) |
(/ 2 b) |
(/ (+ 2 (* 1/2 (pow b 2))) b) |
(/ (+ 2 (* 1/2 (pow b 2))) b) |
(/ (+ 2 (* 1/2 (pow b 2))) b) |
(* 1/2 b) |
(* b (+ 1/2 (* 2 (/ 1 (pow b 2))))) |
(* b (+ 1/2 (* 2 (/ 1 (pow b 2))))) |
(* b (+ 1/2 (* 2 (/ 1 (pow b 2))))) |
(* 1/2 b) |
(* b (+ 1/2 (* 2 (/ 1 (pow b 2))))) |
(* b (+ 1/2 (* 2 (/ 1 (pow b 2))))) |
(* b (+ 1/2 (* 2 (/ 1 (pow b 2))))) |
1/2 |
(+ 1/2 (* 1/4 a)) |
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) |
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) |
(* 1/480 (pow a 5)) |
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2))))) |
(* 1/480 (pow a 5)) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4)))))) |
(* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480))) |
(* 1/4 a) |
(* a (+ 1/4 (* -1/48 (pow a 2)))) |
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))) |
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))) |
(* 1/480 (pow a 5)) |
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(* 1/480 (pow a 5)) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4)))))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4)))))) |
(* 1/16 a) |
(* a (+ 1/16 (* -1/2304 (pow a 4)))) |
(* a (+ 1/16 (* (pow a 4) (- (* 1/11520 (pow a 2)) 1/2304)))) |
(* a (+ 1/16 (* (pow a 4) (- (* (pow a 2) (+ 1/11520 (* -1/230400 (pow a 2)))) 1/2304)))) |
(* -1/230400 (pow a 9)) |
(* (pow a 9) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400)) |
(* (pow a 9) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4))))) |
(* (pow a 9) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4))))) |
(* -1/230400 (pow a 9)) |
(* -1 (* (pow a 9) (- 1/230400 (* 1/11520 (/ 1 (pow a 2)))))) |
(* -1 (* (pow a 9) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))) |
(* -1 (* (pow a 9) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8))))))) |
1/16 |
(+ 1/16 (* -1/2304 (pow a 4))) |
(+ 1/16 (* (pow a 4) (- (* 1/11520 (pow a 2)) 1/2304))) |
(+ 1/16 (* (pow a 4) (- (* (pow a 2) (+ 1/11520 (* -1/230400 (pow a 2)))) 1/2304))) |
(* -1/230400 (pow a 8)) |
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400)) |
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4))))) |
(* (pow a 8) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4))))) |
(* -1/230400 (pow a 8)) |
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400)) |
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4))))) |
(* (pow a 8) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4))))) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* 1/480 (pow a 2)) |
(* -1/48 a) |
(* a (- (* 1/480 (pow a 2)) 1/48)) |
(* a (- (* 1/480 (pow a 2)) 1/48)) |
(* a (- (* 1/480 (pow a 2)) 1/48)) |
(* 1/480 (pow a 3)) |
(* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(* 1/480 (pow a 3)) |
(* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480))) |
(* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480))) |
(* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480))) |
(* 1/2304 (pow a 2)) |
(* (pow a 2) (+ 1/2304 (* -1/11520 (pow a 2)))) |
(* (pow a 2) (+ 1/2304 (* (pow a 2) (- (* 1/230400 (pow a 2)) 1/11520)))) |
(* (pow a 2) (+ 1/2304 (* (pow a 2) (- (* 1/230400 (pow a 2)) 1/11520)))) |
(* 1/230400 (pow a 6)) |
(* (pow a 6) (- 1/230400 (* 1/11520 (/ 1 (pow a 2))))) |
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2))))) |
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2))))) |
(* 1/230400 (pow a 6)) |
(* (pow a 6) (- 1/230400 (* 1/11520 (/ 1 (pow a 2))))) |
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2))))) |
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2))))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a)) |
(+ 1/2 (* a (+ 1/2 (* 1/4 a)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))))) |
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64))))))) |
(* 1/2 (exp a)) |
(*.f64 #s(literal 1/2 binary64) (exp.f64 a)) |
(* 1/2 (exp a)) |
(*.f64 #s(literal 1/2 binary64) (exp.f64 a)) |
(* 1/2 (exp a)) |
(*.f64 #s(literal 1/2 binary64) (exp.f64 a)) |
(* 1/2 (exp a)) |
(*.f64 #s(literal 1/2 binary64) (exp.f64 a)) |
(* 1/2 (exp a)) |
(*.f64 #s(literal 1/2 binary64) (exp.f64 a)) |
(* 1/2 (exp a)) |
(*.f64 #s(literal 1/2 binary64) (exp.f64 a)) |
(* 1/2 (exp a)) |
(*.f64 #s(literal 1/2 binary64) (exp.f64 a)) |
(* 1/2 (exp a)) |
(*.f64 #s(literal 1/2 binary64) (exp.f64 a)) |
1 |
#s(literal 1 binary64) |
(+ 1 a) |
(+.f64 a #s(literal 1 binary64)) |
(+ 1 (* a (+ 1 (* 1/2 a)))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)))) |
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64))))))) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(exp a) |
(exp.f64 a) |
(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
(pow b 2) |
(*.f64 b b) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 b)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64))) |
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) #s(literal 1/16 binary64))))) |
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (+.f64 #s(literal 1/16 binary64) (*.f64 b #s(literal -1/32 binary64))))))) |
(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ (- 2 (* 4 (/ 1 b))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b)) |
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b)) (*.f64 b b)) |
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -32 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) |
(/ 2 (pow b 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/ (- 2 (* 4 (/ 1 b))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b)) |
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 b b)) #s(literal -4 binary64)) b)) (*.f64 b b)) |
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (*.f64 b b))) (/.f64 #s(literal 32 binary64) (*.f64 b (*.f64 b b)))) b)) (*.f64 b b)) |
2 |
#s(literal 2 binary64) |
(+ 2 b) |
(+.f64 #s(literal 2 binary64) b) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) |
(+ 2 (* b (+ 1 (* 1/2 b)))) |
(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) |
(* 1/2 (pow b 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))) |
(* 1/2 (pow b 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(* (pow b 2) (+ 1/2 (/ 1 b))) |
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))) |
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)))) |
(/ 2 b) |
(/.f64 #s(literal 2 binary64) b) |
(/ (+ 2 b) b) |
(/.f64 (+.f64 #s(literal 2 binary64) b) b) |
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) b) |
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))) b) |
(* 1/2 b) |
(*.f64 #s(literal 1/2 binary64) b) |
(* b (+ 1/2 (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) |
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))) |
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))) |
(* 1/2 b) |
(*.f64 #s(literal 1/2 binary64) b) |
(* b (+ 1/2 (/ 1 b))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)) |
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2))) |
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)) b)) (-.f64 #s(literal 0 binary64) b)) |
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2))) |
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)) b)) (-.f64 #s(literal 0 binary64) b)) |
(/ 2 b) |
(/.f64 #s(literal 2 binary64) b) |
(/ (+ 2 (* 1/2 (pow b 2))) b) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) b) |
(/ (+ 2 (* 1/2 (pow b 2))) b) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) b) |
(/ (+ 2 (* 1/2 (pow b 2))) b) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b b))) b) |
(* 1/2 b) |
(*.f64 #s(literal 1/2 binary64) b) |
(* b (+ 1/2 (* 2 (/ 1 (pow b 2))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)) |
(* b (+ 1/2 (* 2 (/ 1 (pow b 2))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)) |
(* b (+ 1/2 (* 2 (/ 1 (pow b 2))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)) |
(* 1/2 b) |
(*.f64 #s(literal 1/2 binary64) b) |
(* b (+ 1/2 (* 2 (/ 1 (pow b 2))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)) |
(* b (+ 1/2 (* 2 (/ 1 (pow b 2))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)) |
(* b (+ 1/2 (* 2 (/ 1 (pow b 2))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
(* 1/480 (pow a 5)) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))) |
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(* (pow a 5) (- (+ 1/480 (+ (/ 1/4 (pow a 4)) (* 1/2 (/ 1 (pow a 5))))) (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))) (/.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))))) |
(* 1/480 (pow a 5)) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(* -1 (* (pow a 5) (- (+ (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 4))) (* 1/48 (/ 1 (pow a 2)))) 1/480))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 a a)) #s(literal -1/480 binary64)) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(* 1/4 a) |
(*.f64 a #s(literal 1/4 binary64)) |
(* a (+ 1/4 (* -1/48 (pow a 2)))) |
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a)))) |
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))) |
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))) |
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))) |
(*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))) |
(* 1/480 (pow a 5)) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(* (pow a 5) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))) |
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(* (pow a 5) (- (+ 1/480 (/ 1/4 (pow a 4))) (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(* 1/480 (pow a 5)) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) 1/480))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a)))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(* -1 (* (pow a 5) (- (* 1/48 (/ 1 (pow a 2))) (+ 1/480 (/ 1/4 (pow a 4)))))) |
(*.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/480 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(* 1/16 a) |
(*.f64 a #s(literal 1/16 binary64)) |
(* a (+ 1/16 (* -1/2304 (pow a 4)))) |
(*.f64 a (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/2304 binary64)))) |
(* a (+ 1/16 (* (pow a 4) (- (* 1/11520 (pow a 2)) 1/2304)))) |
(*.f64 a (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal -1/2304 binary64) (*.f64 (*.f64 a a) #s(literal 1/11520 binary64)))))) |
(* a (+ 1/16 (* (pow a 4) (- (* (pow a 2) (+ 1/11520 (* -1/230400 (pow a 2)))) 1/2304)))) |
(*.f64 a (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal -1/2304 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/11520 binary64) (*.f64 (*.f64 a a) #s(literal -1/230400 binary64)))))))) |
(* -1/230400 (pow a 9)) |
(*.f64 #s(literal -1/230400 binary64) (pow.f64 a #s(literal 9 binary64))) |
(* (pow a 9) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400)) |
(*.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)))) |
(* (pow a 9) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4))))) |
(*.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(* (pow a 9) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4))))) |
(*.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (/.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 8 binary64)))) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(* -1/230400 (pow a 9)) |
(*.f64 #s(literal -1/230400 binary64) (pow.f64 a #s(literal 9 binary64))) |
(* -1 (* (pow a 9) (- 1/230400 (* 1/11520 (/ 1 (pow a 2)))))) |
(*.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 #s(literal -1/230400 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/11520 binary64) (*.f64 a a))))) |
(* -1 (* (pow a 9) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2)))))) |
(*.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(* -1 (* (pow a 9) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8))))))) |
(*.f64 (pow.f64 a #s(literal 9 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (/.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 8 binary64)))) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* -1/2304 (pow a 4))) |
(+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -1/2304 binary64))) |
(+ 1/16 (* (pow a 4) (- (* 1/11520 (pow a 2)) 1/2304))) |
(+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal -1/2304 binary64) (*.f64 (*.f64 a a) #s(literal 1/11520 binary64))))) |
(+ 1/16 (* (pow a 4) (- (* (pow a 2) (+ 1/11520 (* -1/230400 (pow a 2)))) 1/2304))) |
(+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal -1/2304 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/11520 binary64) (*.f64 (*.f64 a a) #s(literal -1/230400 binary64))))))) |
(* -1/230400 (pow a 8)) |
(*.f64 #s(literal -1/230400 binary64) (pow.f64 a #s(literal 8 binary64))) |
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400)) |
(*.f64 (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal 1/11520 binary64) (*.f64 a a))) (pow.f64 a #s(literal 8 binary64))) |
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (pow.f64 a #s(literal 8 binary64))) |
(* (pow a 8) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4))))) |
(*.f64 (pow.f64 a #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (/.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 8 binary64)))) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(* -1/230400 (pow a 8)) |
(*.f64 #s(literal -1/230400 binary64) (pow.f64 a #s(literal 8 binary64))) |
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) 1/230400)) |
(*.f64 (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal 1/11520 binary64) (*.f64 a a))) (pow.f64 a #s(literal 8 binary64))) |
(* (pow a 8) (- (* 1/11520 (/ 1 (pow a 2))) (+ 1/230400 (/ 1/2304 (pow a 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))) (pow.f64 a #s(literal 8 binary64))) |
(* (pow a 8) (- (+ (* 1/11520 (/ 1 (pow a 2))) (* 1/16 (/ 1 (pow a 8)))) (+ 1/230400 (/ 1/2304 (pow a 4))))) |
(*.f64 (pow.f64 a #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/11520 binary64) (*.f64 a a)) (/.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 8 binary64)))) (+.f64 #s(literal -1/230400 binary64) (/.f64 #s(literal -1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* 1/480 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/480 binary64)) |
(* -1/48 a) |
(*.f64 a #s(literal -1/48 binary64)) |
(* a (- (* 1/480 (pow a 2)) 1/48)) |
(*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) |
(* a (- (* 1/480 (pow a 2)) 1/48)) |
(*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) |
(* a (- (* 1/480 (pow a 2)) 1/48)) |
(*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) |
(* 1/480 (pow a 3)) |
(*.f64 a (*.f64 (*.f64 a a) #s(literal 1/480 binary64))) |
(* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(* (pow a 3) (- 1/480 (* 1/48 (/ 1 (pow a 2))))) |
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(* 1/480 (pow a 3)) |
(*.f64 a (*.f64 (*.f64 a a) #s(literal 1/480 binary64))) |
(* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480))) |
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480))) |
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(* -1 (* (pow a 3) (- (* 1/48 (/ 1 (pow a 2))) 1/480))) |
(*.f64 (*.f64 a a) (*.f64 a (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(* 1/2304 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 1/2304 binary64)) |
(* (pow a 2) (+ 1/2304 (* -1/11520 (pow a 2)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) #s(literal -1/11520 binary64)))) |
(* (pow a 2) (+ 1/2304 (* (pow a 2) (- (* 1/230400 (pow a 2)) 1/11520)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/11520 binary64) (*.f64 a (*.f64 a #s(literal 1/230400 binary64))))))) |
(* (pow a 2) (+ 1/2304 (* (pow a 2) (- (* 1/230400 (pow a 2)) 1/11520)))) |
(*.f64 (*.f64 a a) (+.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/11520 binary64) (*.f64 a (*.f64 a #s(literal 1/230400 binary64))))))) |
(* 1/230400 (pow a 6)) |
(*.f64 #s(literal 1/230400 binary64) (pow.f64 a #s(literal 6 binary64))) |
(* (pow a 6) (- 1/230400 (* 1/11520 (/ 1 (pow a 2))))) |
(*.f64 (+.f64 #s(literal 1/230400 binary64) (/.f64 #s(literal -1/11520 binary64) (*.f64 a a))) (pow.f64 a #s(literal 6 binary64))) |
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/230400 binary64) (/.f64 #s(literal -1/11520 binary64) (*.f64 a a)))) (pow.f64 a #s(literal 6 binary64))) |
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/230400 binary64) (/.f64 #s(literal -1/11520 binary64) (*.f64 a a)))) (pow.f64 a #s(literal 6 binary64))) |
(* 1/230400 (pow a 6)) |
(*.f64 #s(literal 1/230400 binary64) (pow.f64 a #s(literal 6 binary64))) |
(* (pow a 6) (- 1/230400 (* 1/11520 (/ 1 (pow a 2))))) |
(*.f64 (+.f64 #s(literal 1/230400 binary64) (/.f64 #s(literal -1/11520 binary64) (*.f64 a a))) (pow.f64 a #s(literal 6 binary64))) |
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/230400 binary64) (/.f64 #s(literal -1/11520 binary64) (*.f64 a a)))) (pow.f64 a #s(literal 6 binary64))) |
(* (pow a 6) (- (+ 1/230400 (/ 1/2304 (pow a 4))) (* 1/11520 (/ 1 (pow a 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2304 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/230400 binary64) (/.f64 #s(literal -1/11520 binary64) (*.f64 a a)))) (pow.f64 a #s(literal 6 binary64))) |
Compiled 28913 to 2514 computations (91.3% saved)
30 alts after pruning (21 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 734 | 13 | 747 |
| Fresh | 0 | 8 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 735 | 30 | 765 |
| Status | Accuracy | Program |
|---|---|---|
| 20.0% | (/.f64 (/.f64 #s(literal 2 binary64) b) b) | |
| 54.7% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b) | |
| ✓ | 68.3% | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
| ✓ | 67.2% | (/.f64 (exp.f64 a) #s(literal 2 binary64)) |
| ✓ | 20.4% | (/.f64 #s(literal 2 binary64) (*.f64 b b)) |
| 38.2% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64)))))) | |
| 23.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))))) | |
| 20.4% | (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))) | |
| ✓ | 38.6% | (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
| 43.5% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))))) | |
| 59.3% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) | |
| ✓ | 80.8% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
| 33.7% | (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) | |
| 25.6% | (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b))))))) | |
| 46.7% | (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)))))) | |
| ✓ | 46.7% | (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
| 46.6% | (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))))))) | |
| 20.0% | (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) | |
| 3.5% | (/.f64 #s(literal 1 binary64) b) | |
| 40.5% | (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) | |
| 40.6% | (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) | |
| ✓ | 40.8% | (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
| 40.7% | (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) | |
| 40.8% | (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) | |
| 20.0% | (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) | |
| 37.5% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b))))) | |
| 17.7% | (*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64))) | |
| 17.7% | (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) | |
| ✓ | 24.1% | #s(literal 1 binary64) |
| ✓ | 40.4% | #s(literal 1/2 binary64) |
Compiled 1149 to 499 computations (56.6% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/.f64 (/.f64 #s(literal 2 binary64) b) b) |
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b))))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))))) |
(/.f64 (exp.f64 a) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
5 calls:
| 15.0ms | a |
| 10.0ms | b |
| 10.0ms | (exp.f64 b) |
| 9.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 8.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | a |
| 99.6% | 1 | b |
| 99.6% | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 99.6% | 1 | (exp.f64 a) |
| 99.6% | 1 | (exp.f64 b) |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/.f64 (/.f64 #s(literal 2 binary64) b) b) |
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b))))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))))) |
(/.f64 (exp.f64 a) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
4 calls:
| 11.0ms | b |
| 10.0ms | a |
| 9.0ms | (exp.f64 b) |
| 8.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | a |
| 99.1% | 1 | b |
| 99.1% | 1 | (exp.f64 a) |
| 99.1% | 1 | (exp.f64 b) |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/.f64 (/.f64 #s(literal 2 binary64) b) b) |
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b))))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))))) |
(/.f64 (exp.f64 a) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
4 calls:
| 11.0ms | a |
| 10.0ms | b |
| 9.0ms | (exp.f64 a) |
| 8.0ms | (exp.f64 b) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | a |
| 99.6% | 3 | b |
| 99.7% | 2 | (exp.f64 a) |
| 99.6% | 3 | (exp.f64 b) |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/.f64 (/.f64 #s(literal 2 binary64) b) b) |
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b))))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))))) |
(/.f64 (exp.f64 a) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
2 calls:
| 10.0ms | a |
| 8.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | a |
| 99.4% | 2 | (exp.f64 a) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/.f64 (/.f64 #s(literal 2 binary64) b) b) |
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b))))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))))) |
(/.f64 (exp.f64 a) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) |
2 calls:
| 28.0ms | a |
| 8.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | a |
| 98.6% | 2 | (exp.f64 a) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/.f64 (/.f64 #s(literal 2 binary64) b) b) |
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b))))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))))) |
(/.f64 (exp.f64 a) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/480 binary64) (pow.f64 a #s(literal 5 binary64))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(/.f64 (exp.f64 a) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) |
3 calls:
| 10.0ms | a |
| 9.0ms | b |
| 7.0ms | (exp.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.4% | 3 | b |
| 79.7% | 2 | a |
| 79.7% | 2 | (exp.f64 a) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/.f64 (/.f64 #s(literal 2 binary64) b) b) |
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) b) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))) (-.f64 b (*.f64 #s(literal 1/2 binary64) (*.f64 b b)))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 1/2304 binary64)))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) b))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a #s(literal -1/48 binary64))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) b) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (*.f64 b b))))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))) (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a (*.f64 a (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (-.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b))))) b) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) (-.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)))))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) |
2 calls:
| 9.0ms | a |
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.8% | 2 | a |
| 78.3% | 4 | b |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/.f64 (/.f64 #s(literal 2 binary64) b) b) |
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 4 | b |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/.f64 (/.f64 #s(literal 2 binary64) b) b) |
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) b)))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)))))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.5% | 4 | b |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/.f64 (/.f64 #s(literal 2 binary64) b) b) |
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.5% | 4 | b |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/.f64 (/.f64 #s(literal 2 binary64) b) b) |
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 3 | b |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
(/.f64 (/.f64 #s(literal 2 binary64) b) b) |
(*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 2 binary64) b))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(/.f64 #s(literal 2 binary64) (*.f64 b b)) |
1 calls:
| 27.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 3 | b |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64))) |
2 calls:
| 3.0ms | a |
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.8% | 1 | a |
| 53.5% | 2 | b |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.1% | 2 | b |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) b) |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 2 | b |
Compiled 3 to 2 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
2 calls:
| 1.0ms | a |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.4% | 1 | a |
| 40.4% | 1 | b |
Compiled 6 to 4 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999997681971 | 1.0 |
Compiled 14 to 10 computations (28.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0 | 0.5056691168514094 |
Compiled 14 to 10 computations (28.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999997700716243 | 0.9999999997681971 |
Compiled 14 to 10 computations (28.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 6.073085213217915e+97 | 2.1270980370911637e+104 |
| 16.0ms | -156574219.6207423 | -8.051321005933692e-13 |
| 17.0ms | 320× | 0 | valid |
Compiled 361 to 300 computations (16.9% saved)
ival-exp: 5.0ms (56.1% of total)ival-div: 2.0ms (22.4% of total)ival-add: 2.0ms (22.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 3.5024643472039253e+86 | 6.073085213217915e+97 |
| 19.0ms | 3.062406060911395e-19 | 2.9058568857903053e-15 |
| 11.0ms | -8.051321005933692e-13 | -3.019859081913993e-16 |
| 25.0ms | 416× | 0 | valid |
Compiled 799 to 568 computations (28.9% saved)
ival-exp: 6.0ms (53% of total)ival-div: 3.0ms (26.5% of total)ival-add: 2.0ms (17.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.5024643472039253e+86 | 6.073085213217915e+97 |
| 15.0ms | 3.062406060911395e-19 | 2.9058568857903053e-15 |
| 11.0ms | -8.051321005933692e-13 | -3.019859081913993e-16 |
| 26.0ms | 416× | 0 | valid |
Compiled 703 to 520 computations (26% saved)
ival-exp: 10.0ms (65.9% of total)ival-div: 3.0ms (19.8% of total)ival-add: 2.0ms (13.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.5742477777123717e+144 | 1.3068366530747377e+150 |
| 11.0ms | 3.062406060911395e-19 | 2.9058568857903053e-15 |
| 15.0ms | -8.051321005933692e-13 | -3.019859081913993e-16 |
| 25.0ms | 400× | 0 | valid |
Compiled 617 to 452 computations (26.7% saved)
ival-div: 6.0ms (41.4% of total)ival-exp: 6.0ms (41.4% of total)ival-add: 2.0ms (13.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.5742477777123717e+144 | 1.3068366530747377e+150 |
| 16.0ms | 2.9058568857903053e-15 | 19489752237886.293 |
| 13.0ms | -8.051321005933692e-13 | -3.019859081913993e-16 |
| 26.0ms | 448× | 0 | valid |
Compiled 587 to 436 computations (25.7% saved)
ival-exp: 7.0ms (54.5% of total)ival-div: 3.0ms (23.3% of total)ival-add: 2.0ms (15.6% 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 |
|---|---|---|
| 11.0ms | 3.062406060911395e-19 | 2.9058568857903053e-15 |
| 12.0ms | -8.051321005933692e-13 | -3.019859081913993e-16 |
| 15.0ms | 256× | 0 | valid |
Compiled 271 to 226 computations (16.6% saved)
ival-exp: 4.0ms (55.7% of total)ival-div: 2.0ms (27.9% of total)ival-add: 1.0ms (13.9% 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 |
|---|---|---|
| 11.0ms | 3.062406060911395e-19 | 2.9058568857903053e-15 |
| 15.0ms | -8.051321005933692e-13 | -3.019859081913993e-16 |
| 14.0ms | 256× | 0 | valid |
Compiled 239 to 202 computations (15.5% saved)
ival-exp: 4.0ms (56.5% of total)ival-div: 2.0ms (28.3% of total)ival-add: 1.0ms (14.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -156574219.6207423 | -8.051321005933692e-13 |
| 11.0ms | 176× | 0 | valid |
Compiled 147 to 131 computations (10.9% saved)
ival-exp: 3.0ms (47.2% of total)ival-div: 2.0ms (31.4% of total)ival-add: 1.0ms (15.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | -8.051321005933692e-13 | -3.019859081913993e-16 |
| 8.0ms | 128× | 0 | valid |
Compiled 111 to 98 computations (11.7% saved)
ival-exp: 3.0ms (65.4% of total)ival-div: 1.0ms (21.8% of total)ival-add: 1.0ms (21.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -156574219.6207423 | -8.051321005933692e-13 |
| 10.0ms | 176× | 0 | valid |
Compiled 103 to 98 computations (4.9% saved)
ival-exp: 3.0ms (57.5% of total)ival-div: 1.0ms (19.2% of total)ival-add: 1.0ms (19.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 36× | *-commutative_binary64 |
| 36× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 388 |
| 1 | 144 | 388 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) |
(if (<=.f64 (exp.f64 a) #s(literal 9007197453301141/9007199254740992 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(if (<=.f64 b #s(literal -15 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 59999999999999996826002070605920807106308299383694011723573432360690549972920915669709213854072832 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (if (<=.f64 b #s(literal 59999999999999996826002070605920807106308299383694011723573432360690549972920915669709213854072832 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (if (<=.f64 b #s(literal 1300000000000000029599179346339103758944341609839754507541616304749184666976547096417134357705931747015841481878296224129926262500534270147798507716608 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 360 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (if (<=.f64 b #s(literal 1300000000000000029599179346339103758944341609839754507541616304749184666976547096417134357705931747015841481878296224129926262500534270147798507716608 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(if (<=.f64 b #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))) |
(if (<=.f64 b #s(literal -2476979795053773/2251799813685248 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
(/.f64 (exp.f64 a) (+.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))))) |
(if (<=.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) |
(if (<=.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) |
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))) (+.f64 (+.f64 (exp.f64 b) #s(literal 1 binary64)) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))))))) |
(if (<=.f64 (exp.f64 a) #s(literal 9007197453301141/9007199254740992 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) |
(if (<=.f64 (exp.f64 a) #s(literal 9007197453301141/9007199254740992 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))) |
(if (<=.f64 b #s(literal -15 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) #s(literal 1/480 binary64))))))) (if (<=.f64 b #s(literal 59999999999999996826002070605920807106308299383694011723573432360690549972920915669709213854072832 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (if (<=.f64 b #s(literal 59999999999999996826002070605920807106308299383694011723573432360690549972920915669709213854072832 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) (if (<=.f64 b #s(literal 59999999999999996826002070605920807106308299383694011723573432360690549972920915669709213854072832 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 a a))))) (if (<=.f64 b #s(literal 1300000000000000029599179346339103758944341609839754507541616304749184666976547096417134357705931747015841481878296224129926262500534270147798507716608 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 a a) #s(literal -1/48 binary64))))) (if (<=.f64 b #s(literal 1300000000000000029599179346339103758944341609839754507541616304749184666976547096417134357705931747015841481878296224129926262500534270147798507716608 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 360 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (if (<=.f64 b #s(literal 1300000000000000029599179346339103758944341609839754507541616304749184666976547096417134357705931747015841481878296224129926262500534270147798507716608 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 360 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 1300000000000000029599179346339103758944341609839754507541616304749184666976547096417134357705931747015841481878296224129926262500534270147798507716608 binary64)) (*.f64 #s(literal 1/480 binary64) (*.f64 a (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a)) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (if (<=.f64 b #s(literal 7352373481323731/2535301200456458802993406410752 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))) |
(if (<=.f64 b #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) a))) |
(if (<=.f64 b #s(literal -3961408125713217/4951760157141521099596496896 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))) |
(if (<=.f64 b #s(literal -2476979795053773/2251799813685248 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
| 4894× | +-lowering-+.f64 |
| 4894× | +-lowering-+.f32 |
| 4598× | +-lowering-+.f64 |
| 4598× | +-lowering-+.f32 |
| 3714× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 162 |
| 1 | 252 | 139 |
| 2 | 2182 | 139 |
| 0 | 10046 | 139 |
| 0 | 120 | 714 |
| 1 | 360 | 669 |
| 2 | 1225 | 655 |
| 3 | 5177 | 650 |
| 0 | 8588 | 650 |
| 0 | 231 | 1526 |
| 1 | 664 | 1450 |
| 2 | 1858 | 1397 |
| 3 | 6217 | 1396 |
| 0 | 8157 | 1396 |
| 0 | 302 | 2650 |
| 1 | 956 | 2336 |
| 2 | 2952 | 2263 |
| 0 | 8260 | 2263 |
| 0 | 296 | 2515 |
| 1 | 906 | 2369 |
| 2 | 3076 | 2292 |
| 0 | 8245 | 2292 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1603 to 936 computations (41.6% saved)
Compiled 820 to 230 computations (72% saved)
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