
Time bar (total: 11.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 62.5% | 62.5% | 37.5% | 0% | 0% | 0% | 0% | 5 |
| 68.8% | 68.7% | 31.2% | 0% | 0% | 0% | 0% | 6 |
| 71.9% | 71.8% | 28.1% | 0% | 0% | 0% | 0% | 7 |
| 73.4% | 73.4% | 26.5% | 0% | 0% | 0% | 0% | 8 |
| 74.2% | 74.2% | 25.8% | 0% | 0% | 0% | 0% | 9 |
| 74.6% | 74.6% | 25.4% | 0% | 0% | 0% | 0% | 10 |
| 74.8% | 74.8% | 25.2% | 0% | 0% | 0% | 0% | 11 |
| 74.9% | 74.9% | 25.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 11 to 8 computations (27.3% saved)
ival-add: 12.0ms (30.4% of total)ival-log: 9.0ms (22.8% of total)ival-mult: 9.0ms (22.8% of total)ival-sqrt: 8.0ms (20.3% of total)const: 1.0ms (2.5% of total)backward-pass: 0.0ms (0% of total)| 1.3s | 2732× | 2 | valid |
| 869.0ms | 3280× | 1 | valid |
| 171.0ms | 2244× | 0 | valid |
ival-log: 836.0ms (48.1% of total)ival-sqrt: 241.0ms (13.9% of total)ival-add: 233.0ms (13.4% of total)backward-pass: 217.0ms (12.5% of total)ival-mult: 193.0ms (11.1% of total)const: 17.0ms (1% of total)| 2× | egg-herbie |
| 216× | fnmadd-define |
| 196× | fmsub-define |
| 194× | fnmsub-define |
| 150× | sum3-define |
| 128× | fmm-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 27 |
| 1 | 34 | 19 |
| 2 | 64 | 19 |
| 3 | 114 | 19 |
| 4 | 252 | 19 |
| 5 | 455 | 19 |
| 6 | 661 | 19 |
| 7 | 799 | 19 |
| 8 | 830 | 19 |
| 0 | 7 | 8 |
| 1 | 13 | 6 |
| 2 | 14 | 6 |
| 3 | 15 | 6 |
| 0 | 15 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(log (+ x (sqrt (+ (* x x) 1)))) |
| Outputs |
|---|
(log (+ x (sqrt (+ (* x x) 1)))) |
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
| Inputs |
|---|
(log (+ x (sqrt (+ (* x x) 1)))) |
(log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1)))) |
(neg (log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1))))) |
| Outputs |
|---|
(log (+ x (sqrt (+ (* x x) 1)))) |
(log (+ x (hypot 1 x))) |
(log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1)))) |
(log (- (hypot 1 x) x)) |
(neg (log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1))))) |
(neg (log (- (hypot 1 x) x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 108 | 0 | - | 1 | (-0.013697895295300721) | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 78 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 77 | 0 | - | 0 | - | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 87.0ms | 160× | 2 | valid |
| 51.0ms | 204× | 1 | valid |
| 15.0ms | 148× | 0 | valid |
Compiled 80 to 23 computations (71.3% saved)
ival-log: 35.0ms (39.1% of total)ival-sqrt: 18.0ms (20.1% of total)ival-add: 14.0ms (15.6% of total)backward-pass: 12.0ms (13.4% of total)ival-mult: 9.0ms (10% of total)const: 1.0ms (1.1% of total)Compiled 7 to 5 computations (28.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 32.7% | (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (hypot.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
| 8× | +-lowering-+.f64 |
| 8× | +-lowering-+.f32 |
| 4× | +-commutative |
| 2× | hypot-1-def |
| 2× | sqrt-lowering-sqrt.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 14 | 16 |
| 2 | 15 | 16 |
| 0 | 15 | 16 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log (+ x (sqrt (+ (* 1 1) (* x x))))) |
(+ x (sqrt (+ (* 1 1) (* x x)))) |
x |
(sqrt (+ (* 1 1) (* x x))) |
1 |
| Outputs |
|---|
(log (+ x (sqrt (+ (* 1 1) (* x x))))) |
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
(+ x (sqrt (+ (* 1 1) (* x x)))) |
(+.f64 x (hypot.f64 #s(literal 1 binary64) x)) |
x |
(sqrt (+ (* 1 1) (* x x))) |
(hypot.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (hypot.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.8% | (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
| 119.0ms | 182× | 5 | exit |
| 8.0ms | 74× | 0 | valid |
Compiled 18 to 6 computations (66.7% saved)
ival-log: 27.0ms (28.8% of total)backward-pass: 26.0ms (27.7% of total)compiled-spec: 20.0ms (21.3% of total)ival-add: 9.0ms (9.6% of total)ival-mult: 7.0ms (7.5% of total)ival-sqrt: 4.0ms (4.3% of total)const: 1.0ms (1.1% of total)| Inputs |
|---|
#<alt (log (+ x (sqrt (+ (* 1 1) (* x x)))))> |
#<alt (+ x (sqrt (+ (* 1 1) (* x x))))> |
#<alt (sqrt (+ (* 1 1) (* x x)))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (/ -1/2 x)> |
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))> |
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (log (+ x (sqrt (+ (* 1 1) (* x x))))) |
| 1.0ms | x | @ | -inf | (log (+ x (sqrt (+ (* 1 1) (* x x))))) |
| 1.0ms | x | @ | inf | (log (+ x (sqrt (+ (* 1 1) (* x x))))) |
| 0.0ms | x | @ | inf | (+ x (sqrt (+ (* 1 1) (* x x)))) |
| 0.0ms | x | @ | -inf | (+ x (sqrt (+ (* 1 1) (* x x)))) |
| 1× | batch-egg-rewrite |
| 1820× | *-lowering-*.f32 |
| 1820× | *-lowering-*.f64 |
| 1708× | fma-lowering-fma.f32 |
| 1708× | fma-lowering-fma.f64 |
| 1576× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 41 | 14 |
| 2 | 326 | 14 |
| 3 | 3609 | 14 |
| 0 | 8485 | 14 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ x (sqrt (+ (* 1 1) (* x x))))) |
(+ x (sqrt (+ (* 1 1) (* x x)))) |
(sqrt (+ (* 1 1) (* x x))) |
| Outputs |
|---|
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
(+.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) |
(+.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) |
(+.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))) |
(+.f64 (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (/.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))) |
(+.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))) |
(+.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) |
(+.f64 (log1p.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))))) (log.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))))) |
(+.f64 (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (log.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) |
(+.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))) |
(-.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log1p.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) |
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64)))) (log.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (log.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (log.f64 (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))) |
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) |
(*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) |
(*.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (+.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x)))) |
(hypot.f64 #s(literal 1 binary64) x) |
(hypot.f64 #s(literal 1 binary64) (exp.f64 (log.f64 x))) |
(fabs.f64 (hypot.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))))) (hypot.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))))) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))) |
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) |
| 1× | egg-herbie |
| 3480× | +-lowering-+.f64 |
| 3480× | +-lowering-+.f32 |
| 2488× | *-lowering-*.f32 |
| 2488× | *-lowering-*.f64 |
| 1576× | sum4-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 434 |
| 1 | 355 | 365 |
| 2 | 1103 | 351 |
| 3 | 3812 | 333 |
| 0 | 8439 | 333 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) x)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
Compiled 5033 to 657 computations (86.9% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 164 | 11 | 175 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 164 | 12 | 176 |
| Status | Accuracy | Program |
|---|---|---|
| 5.4% | (-.f64 (log.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) | |
| 12.6% | (-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))) | |
| ▶ | 42.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
| 44.4% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))) | |
| ▶ | 42.7% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
| 6.2% | (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 30.9% | (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
| ▶ | 30.3% | (log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
| 28.2% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) | |
| ✓ | 32.7% | (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
| 27.3% | (log.f64 (+.f64 x x)) | |
| ▶ | 44.8% | x |
Compiled 353 to 205 computations (41.9% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) x) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
| 2268× | fma-define |
| 1752× | fma-lowering-fma.f32 |
| 1752× | fma-lowering-fma.f64 |
| 614× | *-lowering-*.f32 |
| 614× | *-lowering-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 151 |
| 1 | 71 | 137 |
| 2 | 212 | 135 |
| 3 | 635 | 135 |
| 4 | 1422 | 135 |
| 5 | 2187 | 135 |
| 6 | 2524 | 135 |
| 7 | 2534 | 135 |
| 8 | 2534 | 135 |
| 9 | 2539 | 135 |
| 0 | 2539 | 135 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
x |
(* x (+ 1 (* x (* x -1/6)))) |
x |
(+ 1 (* x (* x -1/6))) |
1 |
(* x (* x -1/6)) |
(* x -1/6) |
-1/6 |
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))))) |
x |
(+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))) |
1 |
(* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))) |
(* x x) |
(+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))) |
-1/6 |
(* (* x x) (+ 3/40 (* (* x x) -5/112))) |
(+ 3/40 (* (* x x) -5/112)) |
3/40 |
(* (* x x) -5/112) |
-5/112 |
(log (/ -1/2 x)) |
(/ -1/2 x) |
-1/2 |
x |
(log (/ (+ -1/2 (/ 1/8 (* x x))) x)) |
(/ (+ -1/2 (/ 1/8 (* x x))) x) |
(+ -1/2 (/ 1/8 (* x x))) |
-1/2 |
(/ 1/8 (* x x)) |
1/8 |
(* x x) |
x |
| Outputs |
|---|
x |
(* x (+ 1 (* x (* x -1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
x |
(+ 1 (* x (* x -1/6))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(* x (* x -1/6)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) |
x |
(+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))) |
(* x x) |
(*.f64 x x) |
(+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))) |
(+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))) |
-1/6 |
#s(literal -1/6 binary64) |
(* (* x x) (+ 3/40 (* (* x x) -5/112))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) |
(+ 3/40 (* (* x x) -5/112)) |
(+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) |
3/40 |
#s(literal 3/40 binary64) |
(* (* x x) -5/112) |
(*.f64 (*.f64 x x) #s(literal -5/112 binary64)) |
-5/112 |
#s(literal -5/112 binary64) |
(log (/ -1/2 x)) |
(log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
-1/2 |
#s(literal -1/2 binary64) |
x |
(log (/ (+ -1/2 (/ 1/8 (* x x))) x)) |
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(/ (+ -1/2 (/ 1/8 (* x x))) x) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(+ -1/2 (/ 1/8 (* x x))) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
-1/2 |
#s(literal -1/2 binary64) |
(/ 1/8 (* x x)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
1/8 |
#s(literal 1/8 binary64) |
(* x x) |
(*.f64 x x) |
x |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal -1/6 binary64)) |
| 60.0ms | 179× | 0 | invalid |
| 32.0ms | 77× | 0 | valid |
Compiled 177 to 26 computations (85.3% saved)
ival-mult: 14.0ms (33.8% of total)...c/correct-round.rkt:119:19: 11.0ms (26.6% of total)ival-add: 6.0ms (14.5% of total)ival-div: 5.0ms (12.1% of total)ival-log: 5.0ms (12.1% of total)const: 1.0ms (2.4% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (+ 1 (* x (* x -1/6))))> |
#<alt (+ 1 (* x (* x -1/6)))> |
#<alt (* x (* x -1/6))> |
#<alt (* x -1/6)> |
#<alt (* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))))> |
#<alt (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))))> |
#<alt (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))> |
#<alt (* x x)> |
#<alt (log (/ -1/2 x))> |
#<alt (/ -1/2 x)> |
#<alt (log (/ (+ -1/2 (/ 1/8 (* x x))) x))> |
#<alt (/ (+ -1/2 (/ 1/8 (* x x))) x)> |
#<alt (+ -1/2 (/ 1/8 (* x x)))> |
#<alt (/ 1/8 (* x x))> |
#<alt (* (* x x) -5/112)> |
#<alt (* (* x x) (+ 3/40 (* (* x x) -5/112)))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))> |
#<alt (* -5/112 (pow x 7))> |
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* -5/112 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))> |
#<alt (* -5/112 (pow x 6))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* -5/112 (pow x 6))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))> |
#<alt (* -5/112 (pow x 6))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* -5/112 (pow x 6))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (+ (log -1/2) (* -1 (log x)))> |
#<alt (+ (log -1/2) (* -1 (log x)))> |
#<alt (+ (log -1/2) (* -1 (log x)))> |
#<alt (+ (log -1/2) (* -1 (log x)))> |
#<alt (+ (log -1/2) (log (/ 1 x)))> |
#<alt (+ (log -1/2) (log (/ 1 x)))> |
#<alt (+ (log -1/2) (log (/ 1 x)))> |
#<alt (+ (log -1/2) (log (/ 1 x)))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (+ (log 1/8) (* -3 (log x)))> |
#<alt (+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))> |
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))> |
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))> |
#<alt (+ (log -1/2) (log (/ 1 x)))> |
#<alt (- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (/ 1/8 (pow x 3))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)> |
#<alt (/ -1/2 x)> |
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))> |
#<alt -1/2> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt -1/2> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (/ 1/8 (pow x 2))> |
#<alt (* -5/112 (pow x 2))> |
#<alt (* -5/112 (pow x 2))> |
#<alt (* -5/112 (pow x 2))> |
#<alt (* -5/112 (pow x 2))> |
#<alt (* -5/112 (pow x 2))> |
#<alt (* -5/112 (pow x 2))> |
#<alt (* -5/112 (pow x 2))> |
#<alt (* -5/112 (pow x 2))> |
#<alt (* -5/112 (pow x 2))> |
#<alt (* -5/112 (pow x 2))> |
#<alt (* -5/112 (pow x 2))> |
#<alt (* -5/112 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))> |
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))> |
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))> |
#<alt (* -5/112 (pow x 4))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* -5/112 (pow x 4))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | 0 | (log (/ -1/2 x)) |
| 21.0ms | x | @ | -inf | (log (/ -1/2 x)) |
| 6.0ms | x | @ | inf | (log (/ -1/2 x)) |
| 2.0ms | x | @ | 0 | (/ 1/8 (* x x)) |
| 1.0ms | x | @ | 0 | (* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))))) |
| 1× | batch-egg-rewrite |
| 3250× | /-lowering-/.f32 |
| 3250× | /-lowering-/.f64 |
| 3194× | *-lowering-*.f32 |
| 3194× | *-lowering-*.f64 |
| 2042× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 118 |
| 1 | 163 | 107 |
| 2 | 1459 | 105 |
| 0 | 8163 | 105 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* x (* x -1/6)))) |
(+ 1 (* x (* x -1/6))) |
(* x (* x -1/6)) |
(* x -1/6) |
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))))) |
(+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))) |
(* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))) |
(* x x) |
(log (/ -1/2 x)) |
(/ -1/2 x) |
(log (/ (+ -1/2 (/ 1/8 (* x x))) x)) |
(/ (+ -1/2 (/ 1/8 (* x x))) x) |
(+ -1/2 (/ 1/8 (* x x))) |
(/ 1/8 (* x x)) |
(* (* x x) -5/112) |
(* (* x x) (+ 3/40 (* (* x x) -5/112))) |
| Outputs |
|---|
(+.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (-.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
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(/.f64 (*.f64 (-.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 25/12544 binary64))) (*.f64 x x)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal 5/112 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/1404928 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/1404928 binary64)))))) (neg.f64 (+.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) #s(literal 3/40 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 25/12544 binary64))))) (neg.f64 (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal 5/112 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/1404928 binary64)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) #s(literal 3/40 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 25/12544 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal 5/112 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/1404928 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) |
(*.f64 (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) x) |
(*.f64 (+.f64 (*.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/1404928 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/1404928 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) #s(literal 3/40 binary64)))))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 25/12544 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal 5/112 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/1404928 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) #s(literal 3/40 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 25/12544 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal 5/112 binary64) (*.f64 x x))))) |
| 1× | egg-herbie |
| 3434× | +-lowering-+.f64 |
| 3434× | +-lowering-+.f32 |
| 3280× | *-lowering-*.f32 |
| 3280× | *-lowering-*.f64 |
| 1320× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 1459 |
| 1 | 369 | 1245 |
| 2 | 1057 | 1211 |
| 3 | 3257 | 1207 |
| 0 | 8343 | 1207 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(* -5/112 (pow x 7)) |
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* -5/112 (pow x 7)) |
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))) |
(* -5/112 (pow x 6)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* -5/112 (pow x 6)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)) |
(* -5/112 (pow x 6)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* -5/112 (pow x 6)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(+ (log -1/2) (* -1 (log x))) |
(+ (log -1/2) (* -1 (log x))) |
(+ (log -1/2) (* -1 (log x))) |
(+ (log -1/2) (* -1 (log x))) |
(+ (log -1/2) (log (/ 1 x))) |
(+ (log -1/2) (log (/ 1 x))) |
(+ (log -1/2) (log (/ 1 x))) |
(+ (log -1/2) (log (/ 1 x))) |
(+ (log 1/2) (log (/ -1 x))) |
(+ (log 1/2) (log (/ -1 x))) |
(+ (log 1/2) (log (/ -1 x))) |
(+ (log 1/2) (log (/ -1 x))) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(+ (log 1/8) (* -3 (log x))) |
(+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x)))) |
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4)))) |
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4)))) |
(+ (log -1/2) (log (/ 1 x))) |
(- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(/ 1/8 (pow x 3)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3)) |
(/ -1/2 x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/ 1/8 (pow x 2)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2)) |
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2)) |
-1/2 |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
-1/2 |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(- (* 1/8 (/ 1 (pow x 2))) 1/2) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 2)) |
(* -5/112 (pow x 2)) |
(* -5/112 (pow x 2)) |
(* -5/112 (pow x 2)) |
(* -5/112 (pow x 2)) |
(* -5/112 (pow x 2)) |
(* -5/112 (pow x 2)) |
(* -5/112 (pow x 2)) |
(* -5/112 (pow x 2)) |
(* -5/112 (pow x 2)) |
(* -5/112 (pow x 2)) |
(* -5/112 (pow x 2)) |
(* -5/112 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) |
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) |
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) |
(* -5/112 (pow x 4)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* -5/112 (pow x 4)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(+ 1 (* -1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(+ 1 (* -1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
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(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/ 1/8 (pow x 2)) |
(/.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* -5/112 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -5/112 binary64)) |
(* -5/112 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -5/112 binary64)) |
(* -5/112 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -5/112 binary64)) |
(* -5/112 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -5/112 binary64)) |
(* -5/112 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -5/112 binary64)) |
(* -5/112 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -5/112 binary64)) |
(* -5/112 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -5/112 binary64)) |
(* -5/112 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -5/112 binary64)) |
(* -5/112 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -5/112 binary64)) |
(* -5/112 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -5/112 binary64)) |
(* -5/112 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -5/112 binary64)) |
(* -5/112 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -5/112 binary64)) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) |
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) |
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) |
(* -5/112 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(*.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(*.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(*.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -5/112 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(*.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(*.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(*.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
Compiled 20550 to 1983 computations (90.4% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 741 | 3 | 744 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 742 | 14 | 756 |
| Status | Accuracy | Program |
|---|---|---|
| 42.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) | |
| 5.4% | (-.f64 (log.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) | |
| ▶ | 12.6% | (-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))) |
| ▶ | 42.7% | (+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) |
| ✓ | 42.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
| ▶ | 44.4% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
| ✓ | 42.7% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
| ▶ | 6.2% | (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
| ✓ | 30.9% | (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
| ✓ | 30.3% | (log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
| 28.2% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) | |
| ✓ | 32.7% | (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
| ▶ | 27.3% | (log.f64 (+.f64 x x)) |
| ✓ | 44.8% | x |
Compiled 371 to 212 computations (42.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 256 | (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) |
| ✓ | cost-diff | 320 | (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) |
| ✓ | cost-diff | 448 | (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))) |
| ✓ | cost-diff | 640 | (-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 512 | (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 512 | (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 512 | (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 0 | (+.f64 x x) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
| 2248× | fma-lowering-fma.f32 |
| 2248× | fma-lowering-fma.f64 |
| 2062× | fnmsub-define |
| 1900× | fmm-def |
| 1480× | fnmadd-define |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 304 |
| 1 | 110 | 275 |
| 2 | 293 | 249 |
| 3 | 907 | 246 |
| 4 | 2664 | 241 |
| 5 | 6942 | 239 |
| 0 | 8118 | 239 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40))))) |
x |
(+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40)))) |
1 |
(* (* x x) (+ -1/6 (* (* x x) 3/40))) |
(* x x) |
(+ -1/6 (* (* x x) 3/40)) |
-1/6 |
(* (* x x) 3/40) |
3/40 |
(+ (* x (* -1/6 (* x x))) x) |
(* x (* -1/6 (* x x))) |
x |
(* -1/6 (* x x)) |
-1/6 |
(* x x) |
(log (+ x x)) |
(+ x x) |
x |
(log (/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x)))))) |
(/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x))))) |
(- (* x x) (+ 1 (* x x))) |
(* x x) |
x |
(+ 1 (* x x)) |
1 |
(- x (sqrt (+ (* 1 1) (* x x)))) |
(sqrt (+ (* 1 1) (* x x))) |
(- (log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))) (log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))))) |
(log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))) |
(neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2)))) |
(- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))) |
0 |
(+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2)) |
(* x (* x x)) |
x |
(* x x) |
(pow (+ 1 (* x x)) 3/2) |
(+ 1 (* x x)) |
1 |
3/2 |
(log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))))) |
(neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))) |
(- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))) |
(+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) |
(+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))) |
(* x (- x (sqrt (+ (* 1 1) (* x x))))) |
(- x (sqrt (+ (* 1 1) (* x x)))) |
(sqrt (+ (* 1 1) (* x x))) |
| Outputs |
|---|
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
x |
(+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ -1/6 (* (* x x) 3/40))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ -1/6 (* (* x x) 3/40)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(* (* x x) 3/40) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
3/40 |
#s(literal 3/40 binary64) |
(+ (* x (* -1/6 (* x x))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* x (* -1/6 (* x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
x |
(* -1/6 (* x x)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(* x x) |
(*.f64 x x) |
(log (+ x x)) |
(log.f64 (*.f64 x #s(literal 2 binary64))) |
(+ x x) |
(*.f64 x #s(literal 2 binary64)) |
x |
(log (/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x)))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) |
(/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) |
(- (* x x) (+ 1 (* x x))) |
#s(literal -1 binary64) |
(* x x) |
(*.f64 x x) |
x |
(+ 1 (* x x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(- x (sqrt (+ (* 1 1) (* x x)))) |
(-.f64 x (hypot.f64 #s(literal 1 binary64) x)) |
(sqrt (+ (* 1 1) (* x x))) |
(hypot.f64 #s(literal 1 binary64) x) |
(- (log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))) (log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))))) |
(-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (log1p.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x))))) |
(log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))) |
(log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) |
(neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2)))) |
(+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) |
(- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))) |
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) |
0 |
#s(literal 0 binary64) |
(+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2)) |
(+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(pow (+ 1 (* x x)) 3/2) |
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) |
(+ 1 (* x x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
3/2 |
#s(literal 3/2 binary64) |
(log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))))) |
(log1p.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)))) |
(neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)))) |
(- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))) |
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (hypot.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))))) |
(+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)))) |
(+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(* x (- x (sqrt (+ (* 1 1) (* x x))))) |
(*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
(- x (sqrt (+ (* 1 1) (* x x)))) |
(-.f64 x (hypot.f64 #s(literal 1 binary64) x)) |
(sqrt (+ (* 1 1) (* x x))) |
(hypot.f64 #s(literal 1 binary64) x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))) |
| ✓ | accuracy | 100.0% | (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))) |
| ✓ | accuracy | 100.0% | (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (+.f64 x x) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 x x)) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
| 801.0ms | 127× | 5 | exit |
| 88.0ms | 128× | 0 | invalid |
| 1.0ms | 1× | 0 | valid |
Compiled 357 to 37 computations (89.6% saved)
ival-pow: 178.0ms (29.4% of total)ival-log: 115.0ms (19% of total)backward-pass: 80.0ms (13.2% of total)ival-add: 66.0ms (10.9% of total)ival-mult: 48.0ms (7.9% of total)ival-sub: 36.0ms (5.9% of total)compiled-spec: 35.0ms (5.8% of total)ival-sqrt: 20.0ms (3.3% of total)...c/correct-round.rkt:119:19: 11.0ms (1.8% of total)ival-neg: 8.0ms (1.3% of total)ival-div: 7.0ms (1.2% of total)const: 2.0ms (0.3% of total)| Inputs |
|---|
#<alt (* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40)))))> |
#<alt (+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40))))> |
#<alt (* (* x x) (+ -1/6 (* (* x x) 3/40)))> |
#<alt (* x x)> |
#<alt (+ (* x (* -1/6 (* x x))) x)> |
#<alt (* x (* -1/6 (* x x)))> |
#<alt (* -1/6 (* x x))> |
#<alt (log (+ x x))> |
#<alt (+ x x)> |
#<alt (log (/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x))))))> |
#<alt (/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x)))))> |
#<alt (- (* x x) (+ 1 (* x x)))> |
#<alt (- (log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))) (log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))))))> |
#<alt (log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))))> |
#<alt (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))))> |
#<alt (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))> |
#<alt (* (* x x) 3/40)> |
#<alt (+ -1/6 (* (* x x) 3/40))> |
#<alt (- x (sqrt (+ (* 1 1) (* x x))))> |
#<alt (+ 1 (* x x))> |
#<alt (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))> |
#<alt (log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2)))))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* 3/40 (pow x 5))> |
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 3/40 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))> |
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (/ -1/2 x)> |
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt -1> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))> |
#<alt (- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (* -2 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))> |
#<alt (- (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))> |
#<alt (- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))> |
#<alt (- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 3/2 x) 1))> |
#<alt (* x (- (* x (+ 3/2 (* 7/6 x))) 1))> |
#<alt (* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1))> |
#<alt (* -2 (log (/ 1 x)))> |
#<alt (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))> |
#<alt (- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6)))> |
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6)))> |
#<alt (+ (log 3) (* -2 (log (/ -1 x))))> |
#<alt (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))> |
#<alt (- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1)))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- (+ 3 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* (pow x 2) (- (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- (* x (+ 1 (* -2 x))) 1)> |
#<alt (- (* x (+ 1 (* x (- (* 1/2 x) 2)))) 1)> |
#<alt (* -1 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1))> |
#<alt (* (pow x 2) (- (* 1/16 (/ 1 (pow x 6))) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* -3 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 3 (* 3/2 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt -1/6> |
#<alt (- (* 3/40 (pow x 2)) 1/6)> |
#<alt (- (* 3/40 (pow x 2)) 1/6)> |
#<alt (- (* 3/40 (pow x 2)) 1/6)> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- (* x (+ 1 (* -1/2 x))) 1)> |
#<alt (- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)> |
#<alt (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))> |
#<alt 1> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- x 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1 (* -1/2 x))) 1)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/8 (/ 1 (pow x 2))))> |
#<alt (- (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))> |
#<alt (- (+ 1/2 (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (+ 2 (* 3/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- (+ 2 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* (pow x 2) (- (+ 2 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (* 3/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 3/2 x))> |
#<alt (* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x)))))> |
#<alt (* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4))))))> |
#<alt (+ (log 2) (* -3 (log (/ 1 x))))> |
#<alt (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))> |
#<alt (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 1 (pow x 2))))))> |
#<alt (+ (log 3/2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))> |
#<alt (- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4)))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 292.0ms | x | @ | -inf | (log (+ x x)) |
| 15.0ms | x | @ | 0 | (log (+ x x)) |
| 6.0ms | x | @ | inf | (log (+ x x)) |
| 1.0ms | x | @ | 0 | (- (log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))) (log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))))) |
| 1.0ms | x | @ | -inf | (- (log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))) (log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))))) |
| 1× | batch-egg-rewrite |
| 2832× | fma-lowering-fma.f32 |
| 2832× | fma-lowering-fma.f64 |
| 2342× | *-lowering-*.f32 |
| 2342× | *-lowering-*.f64 |
| 1918× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 204 |
| 1 | 269 | 158 |
| 2 | 2730 | 152 |
| 0 | 8332 | 152 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40))))) |
(+ 1 (* (* x x) (+ -1/6 (* (* x x) 3/40)))) |
(* (* x x) (+ -1/6 (* (* x x) 3/40))) |
(* x x) |
(+ (* x (* -1/6 (* x x))) x) |
(* x (* -1/6 (* x x))) |
(* -1/6 (* x x)) |
(log (+ x x)) |
(+ x x) |
(log (/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x)))))) |
(/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x))))) |
(- (* x x) (+ 1 (* x x))) |
(- (log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))) (log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))))) |
(log (neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))))) |
(neg (- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))))) |
(- 0 (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))) |
(* (* x x) 3/40) |
(+ -1/6 (* (* x x) 3/40)) |
(- x (sqrt (+ (* 1 1) (* x x)))) |
(+ 1 (* x x)) |
(+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))) |
(log (neg (- 0 (+ (* x (* x x)) (pow (+ 1 (* x x)) 3/2))))) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(fma.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) x) |
(fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) x) |
(fma.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) (*.f64 x x) x) |
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(+.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (fma.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))))) (fma.f64 (neg.f64 (+.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))))) |
(+.f64 (fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(fma.f64 x #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
(fma.f64 x (/.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(fma.f64 #s(literal 1 binary64) x (hypot.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (+.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (*.f64 x x) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal -1 binary64)) (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (+.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(literal -1 binary64) |
(log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) |
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))) |
(+.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (*.f64 x x) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))) |
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(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64)))) (log.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))))) |
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64)))) (log.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) #s(literal 3 binary64))))) (log.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) #s(literal 2 binary64))))) (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64))))) (log.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))))) |
(-.f64 (log.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))) |
(-.f64 (log.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) #s(literal 3 binary64)))) (log.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (log.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))))) |
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) #s(literal 3 binary64))))) (log.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) #s(literal 2 binary64))))) (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) |
(neg.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64)))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal -1 binary64))))) |
| 1× | egg-herbie |
| 5280× | +-lowering-+.f64 |
| 5280× | +-lowering-+.f32 |
| 3398× | *-lowering-*.f32 |
| 3398× | *-lowering-*.f64 |
| 2604× | --lowering--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 332 | 2277 |
| 1 | 1021 | 1936 |
| 2 | 3421 | 1885 |
| 0 | 8607 | 1885 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))) |
(* 3/40 (pow x 4)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 4)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(* 3/40 (pow x 4)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 4)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(+ (log 2) (log x)) |
(+ (log 2) (log x)) |
(+ (log 2) (log x)) |
(+ (log 2) (log x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) |
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (* -2 (log (/ 1 x)))) |
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4)))) |
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4)))) |
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x))))) |
(- (+ (log 3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(* -1 x) |
(* x (- (* 3/2 x) 1)) |
(* x (- (* x (+ 3/2 (* 7/6 x))) 1)) |
(* x (- (* x (+ 3/2 (* x (+ 7/6 (* -3/4 x))))) 1)) |
(* -2 (log (/ 1 x))) |
(+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) |
(- (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (/ 1/12 (pow x 6))) |
(- (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/64 (/ 1 (pow x 8))))) (/ 1/12 (pow x 6))) |
(+ (log 3) (* -2 (log (/ -1 x)))) |
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) |
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4))) |
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow x 6)))))) (/ 1/6 (pow x 4))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 2 x) 1))) |
(+ 1 (* x (- (* x (+ 2 (* -1/2 x))) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ 3 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* (pow x 2) (- (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* -2 x))) 1) |
(- (* x (+ 1 (* x (- (* 1/2 x) 2)))) 1) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1)) |
(* (pow x 2) (- (* 1/16 (/ 1 (pow x 6))) (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))))) |
(* -3 (pow x 2)) |
(* -1 (* (pow x 2) (+ 3 (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 3 (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1/8 (pow x 4)) (+ 3 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
-1/6 |
(- (* 3/40 (pow x 2)) 1/6) |
(- (* 3/40 (pow x 2)) 1/6) |
(- (* 3/40 (pow x 2)) 1/6) |
(* 3/40 (pow x 2)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 2)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* -1/2 x))) 1) |
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1) |
(/ -1/2 x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x) |
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1/2 x))) 1))) |
1/2 |
(+ 1/2 (* 1/8 (/ 1 (pow x 2)))) |
(- (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4))) |
(- (+ 1/2 (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (+ 2 (* 3/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* (pow x 2) (- (+ 2 (+ (* 3/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* 3/2 (pow x 2)) |
(* (pow x 2) (+ 3/2 x)) |
(* (pow x 2) (+ 3/2 (* x (+ 1 (* -3/4 x))))) |
(* (pow x 2) (+ 3/2 (* x (+ 1 (* x (- (* -3/2 x) 3/4)))))) |
(+ (log 2) (* -3 (log (/ 1 x)))) |
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 1 (pow x 2)))))) |
(+ (log 3/2) (* -1 (log (/ -1 x)))) |
(+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4))) |
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
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(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (/.f64 #s(literal 3/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(+ (log 2) (+ (* -3 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))) (* 3/4 (/ 1 (pow x 2)))))) |
(-.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (-.f64 (/.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 x x)) (log.f64 #s(literal 2 binary64))))) |
(+ (log 3/2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal 3/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (log.f64 #s(literal 3/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4))) |
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (-.f64 (log.f64 #s(literal 3/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 7/96 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(- (+ (log 3/2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/32 (/ 1 (pow x 6)))))) (/ 7/96 (pow x 4))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (-.f64 (log.f64 #s(literal 3/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 7/96 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 6 binary64)))) |
Compiled 29037 to 2830 computations (90.3% saved)
15 alts after pruning (6 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 948 | 4 | 952 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 951 | 15 | 966 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 42.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) |
| 12.6% | (-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))) | |
| ▶ | 20.0% | (-.f64 (log.f64 (*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
| ✓ | 42.7% | (+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) |
| ▶ | 43.5% | (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))) |
| ✓ | 42.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
| ✓ | 44.4% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
| ✓ | 42.7% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
| ✓ | 30.9% | (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
| ✓ | 30.3% | (log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
| ▶ | 34.6% | (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
| ▶ | 28.2% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 32.7% | (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
| ✓ | 27.3% | (log.f64 (+.f64 x x)) |
| ✓ | 44.8% | x |
Compiled 342 to 205 computations (40.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 256 | (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 384 | (*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 384 | (log.f64 (*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
| ✓ | cost-diff | 640 | (-.f64 (log.f64 (*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (hypot.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) |
| ✓ | cost-diff | 128 | (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 256 | (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))) |
| 2440× | fma-lowering-fma.f32 |
| 2440× | fma-lowering-fma.f64 |
| 2012× | fnmadd-define |
| 1978× | fma-define |
| 1568× | fmsub-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 329 |
| 1 | 113 | 292 |
| 2 | 305 | 282 |
| 3 | 797 | 269 |
| 4 | 1937 | 267 |
| 5 | 3759 | 267 |
| 6 | 4871 | 267 |
| 7 | 6767 | 267 |
| 0 | 8047 | 267 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1))) |
x |
(+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1)) |
(* (* x x) -1/6) |
(* x x) |
-1/6 |
(+ (* x (* x (* (* x x) 3/40))) 1) |
(* x (* x (* (* x x) 3/40))) |
(* x (* (* x x) 3/40)) |
(* (* x x) 3/40) |
3/40 |
1 |
(/ x (/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))))) |
x |
(/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))))) |
1 |
(+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))) |
(* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))) |
(* x x) |
(+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))) |
-1/6 |
(* x (* x (+ 3/40 (* (* x x) -5/112)))) |
(* x (+ 3/40 (* (* x x) -5/112))) |
(+ 3/40 (* (* x x) -5/112)) |
3/40 |
(* (* x x) -5/112) |
-5/112 |
(log (+ (* x 2) (/ 1/2 x))) |
(+ (* x 2) (/ 1/2 x)) |
(* x 2) |
x |
2 |
(/ 1/2 x) |
1/2 |
(log (/ -1 (- x (sqrt (+ (* 1 1) (* x x)))))) |
(/ -1 (- x (sqrt (+ (* 1 1) (* x x))))) |
-1 |
(- x (sqrt (+ (* 1 1) (* x x)))) |
x |
(sqrt (+ (* 1 1) (* x x))) |
1 |
(- (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) (log (+ (* x x) (+ 1 (* x x))))) |
(log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) |
(* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x)))))) |
(* (+ (* x x) (+ 1 (* x x))) -1) |
(+ (* x x) (+ 1 (* x x))) |
(* x x) |
x |
(+ 1 (* x x)) |
1 |
-1 |
(/ 1 (- x (sqrt (+ (* 1 1) (* x x))))) |
(- x (sqrt (+ (* 1 1) (* x x)))) |
(sqrt (+ (* 1 1) (* x x))) |
(log (+ (* x x) (+ 1 (* x x)))) |
| Outputs |
|---|
(* x (+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
x |
(+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) |
(* (* x x) -1/6) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* x x) |
(*.f64 x x) |
-1/6 |
#s(literal -1/6 binary64) |
(+ (* x (* x (* (* x x) 3/40))) 1) |
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64)) |
(* x (* x (* (* x x) 3/40))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
(* x (* (* x x) 3/40)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) |
(* (* x x) 3/40) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
3/40 |
#s(literal 3/40 binary64) |
1 |
#s(literal 1 binary64) |
(/ x (/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) |
x |
(/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))) |
(* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
(* x x) |
(*.f64 x x) |
(+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))) |
(+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))) |
-1/6 |
#s(literal -1/6 binary64) |
(* x (* x (+ 3/40 (* (* x x) -5/112)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) |
(* x (+ 3/40 (* (* x x) -5/112))) |
(*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) |
(+ 3/40 (* (* x x) -5/112)) |
(+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) |
3/40 |
#s(literal 3/40 binary64) |
(* (* x x) -5/112) |
(*.f64 (*.f64 x x) #s(literal -5/112 binary64)) |
-5/112 |
#s(literal -5/112 binary64) |
(log (+ (* x 2) (/ 1/2 x))) |
(log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) |
(+ (* x 2) (/ 1/2 x)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
(log (/ -1 (- x (sqrt (+ (* 1 1) (* x x)))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) |
(/ -1 (- x (sqrt (+ (* 1 1) (* x x))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) |
-1 |
#s(literal -1 binary64) |
(- x (sqrt (+ (* 1 1) (* x x)))) |
(-.f64 x (hypot.f64 #s(literal 1 binary64) x)) |
x |
(sqrt (+ (* 1 1) (* x x))) |
(hypot.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(- (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) (log (+ (* x x) (+ 1 (* x x))))) |
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (log1p.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
(log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) |
(* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) |
(* (+ (* x x) (+ 1 (* x x))) -1) |
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(+ (* x x) (+ 1 (* x x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64)))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1 (* x x)) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
-1 |
#s(literal -1 binary64) |
(/ 1 (- x (sqrt (+ (* 1 1) (* x x))))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
(- x (sqrt (+ (* 1 1) (* x x)))) |
(-.f64 x (hypot.f64 #s(literal 1 binary64) x)) |
(sqrt (+ (* 1 1) (* x x))) |
(hypot.f64 #s(literal 1 binary64) x) |
(log (+ (* x x) (+ 1 (* x x)))) |
(log1p.f64 (*.f64 x (*.f64 x #s(literal 2 binary64)))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f64 (*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
| ✓ | accuracy | 100.0% | (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (hypot.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
| 799.0ms | 127× | 5 | exit |
| 106.0ms | 128× | 0 | invalid |
| 1.0ms | 1× | 0 | valid |
Compiled 391 to 42 computations (89.3% saved)
ival-log: 239.0ms (38.8% of total)ival-mult: 120.0ms (19.5% of total)backward-pass: 83.0ms (13.5% of total)ival-add: 53.0ms (8.6% of total)compiled-spec: 41.0ms (6.6% of total)ival-div: 33.0ms (5.4% of total)...c/correct-round.rkt:119:19: 26.0ms (4.2% of total)ival-sub: 17.0ms (2.8% of total)ival-sqrt: 5.0ms (0.8% of total)const: 1.0ms (0.2% of total)| Inputs |
|---|
#<alt (* x (+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1)))> |
#<alt (+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1))> |
#<alt (* (* x x) -1/6)> |
#<alt (* x x)> |
#<alt (/ x (/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))))))> |
#<alt (/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))))> |
#<alt (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))))> |
#<alt (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))> |
#<alt (log (+ (* x 2) (/ 1/2 x)))> |
#<alt (+ (* x 2) (/ 1/2 x))> |
#<alt (* x 2)> |
#<alt (/ 1/2 x)> |
#<alt (log (/ -1 (- x (sqrt (+ (* 1 1) (* x x))))))> |
#<alt (/ -1 (- x (sqrt (+ (* 1 1) (* x x)))))> |
#<alt (- x (sqrt (+ (* 1 1) (* x x))))> |
#<alt (sqrt (+ (* 1 1) (* x x)))> |
#<alt (- (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) (log (+ (* x x) (+ 1 (* x x)))))> |
#<alt (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x)))))))> |
#<alt (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))> |
#<alt (* (+ (* x x) (+ 1 (* x x))) -1)> |
#<alt (* (* x x) 3/40)> |
#<alt (* x (* x (* (* x x) 3/40)))> |
#<alt (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))> |
#<alt (* x (* x (+ 3/40 (* (* x x) -5/112))))> |
#<alt (log (+ (* x x) (+ 1 (* x x))))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* 3/40 (pow x 5))> |
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 3/40 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))> |
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))> |
#<alt (* -5/112 (pow x 7))> |
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* -5/112 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* -17/360 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 367/15120 (pow x 2)) 17/360)))))> |
#<alt (/ -112/5 (pow x 6))> |
#<alt (* -1 (/ (+ 112/5 (* 4704/125 (/ 1 (pow x 2)))) (pow x 6)))> |
#<alt (/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (* 4704/125 (/ 1 (pow x 2))))) (pow x 6))> |
#<alt (/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (+ (* 4704/125 (/ 1 (pow x 2))) (* 25545856/78125 (/ 1 (pow x 6)))))) (pow x 6))> |
#<alt (/ -112/5 (pow x 6))> |
#<alt (* -1 (/ (+ 112/5 (* 4704/125 (/ 1 (pow x 2)))) (pow x 6)))> |
#<alt (/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (* 4704/125 (/ 1 (pow x 2))))) (pow x 6))> |
#<alt (/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (+ (* 4704/125 (/ 1 (pow x 2))) (* 25545856/78125 (/ 1 (pow x 6)))))) (pow x 6))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))> |
#<alt (* -5/112 (pow x 6))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* -5/112 (pow x 6))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))> |
#<alt (* -5/112 (pow x 6))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* -5/112 (pow x 6))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (+ (log 1/2) (* -1 (log x)))> |
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))> |
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))> |
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)> |
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)> |
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))> |
#<alt (+ (log 1/2) (log (/ -1 x)))> |
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (/ -1/2 x)> |
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- (* x (+ 1 (* -1/2 x))) 1)> |
#<alt (- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)> |
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)> |
#<alt (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))> |
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))> |
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))> |
#<alt (- (+ (log 4) (* -3 (log (/ 1 x)))) (+ (log 2) (* -2 (log (/ 1 x)))))> |
#<alt (- (+ (log 4) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 2) (* -2 (log (/ 1 x)))))> |
#<alt (- (+ (log 4) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 2) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4)))))> |
#<alt (- (+ (log 4) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (log 2) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4)))))> |
#<alt (- (* -1 (log (/ -1 x))) (+ (log 2) (* -2 (log (/ -1 x)))))> |
#<alt (- (* -1 (log (/ -1 x))) (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (- (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4))) (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (- (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4))) (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))> |
#<alt x> |
#<alt (* x (+ 1 (* 2 x)))> |
#<alt (* x (+ 1 (* x (+ 2 (* -1/6 x)))))> |
#<alt (* x (+ 1 (* x (+ 2 (* x (- (* -2 x) 1/6))))))> |
#<alt (+ (log 4) (* -3 (log (/ 1 x))))> |
#<alt (+ (log 4) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 4) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 7/32 (pow x 4)))> |
#<alt (- (+ (log 4) (+ (* -3 (log (/ 1 x))) (+ (* 3/4 (/ 1 (pow x 2))) (* 3/32 (/ 1 (pow x 6)))))) (/ 7/32 (pow x 4)))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (- (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) (/ 1/32 (pow x 4)))> |
#<alt (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ 1/32 (* 1/96 (/ 1 (pow x 2)))) (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 5/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 5/2 (* 2 x))))))> |
#<alt (* 4 (pow x 3))> |
#<alt (* (pow x 3) (+ 4 (* 3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 4 (+ (/ 1/4 (pow x 4)) (* 3 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 3) (- (+ 4 (+ (/ 1/4 (pow x 4)) (* 3 (/ 1 (pow x 2))))) (* 1/64 (/ 1 (pow x 8)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* 1/4 (/ 1 (pow x 2)))) (/ 1/64 (pow x 6)))))> |
#<alt (* -1 (* x (- (+ 1 (+ (* 1/4 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (/ 1/64 (pow x 6)))))> |
#<alt -1> |
#<alt (- (* -2 (pow x 2)) 1)> |
#<alt (- (* -2 (pow x 2)) 1)> |
#<alt (- (* -2 (pow x 2)) 1)> |
#<alt (* -2 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* 3/40 (pow x 4))> |
#<alt (* 3/40 (pow x 4))> |
#<alt -1/6> |
#<alt (- (* 3/40 (pow x 2)) 1/6)> |
#<alt (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)> |
#<alt (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)> |
#<alt (* -5/112 (pow x 4))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* -5/112 (pow x 4))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))> |
#<alt (* 3/40 (pow x 2))> |
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))> |
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))> |
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))> |
#<alt (* -5/112 (pow x 4))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* -5/112 (pow x 4))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (+ 2 (* -2 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2 (* (pow x 2) (- (* 8/3 (pow x 2)) 2))))> |
#<alt (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 8/3 (* -4 (pow x 2)))) 2))))> |
#<alt (+ (log 2) (* -2 (log (/ 1 x))))> |
#<alt (+ (log 2) (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/8 (pow x 4)))> |
#<alt (- (+ (log 2) (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6)))))) (/ 1/8 (pow x 4)))> |
#<alt (+ (log 2) (* -2 (log (/ -1 x))))> |
#<alt (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/8 (pow x 4)))> |
#<alt (- (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6)))))) (/ 1/8 (pow x 4)))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (- (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) (log (+ (* x x) (+ 1 (* x x))))) |
| 1.0ms | x | @ | 0 | (- (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) (log (+ (* x x) (+ 1 (* x x))))) |
| 1.0ms | x | @ | -inf | (- (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) (log (+ (* x x) (+ 1 (* x x))))) |
| 0.0ms | x | @ | 0 | (log (+ (* x 2) (/ 1/2 x))) |
| 0.0ms | x | @ | -inf | (log (+ (* x 2) (/ 1/2 x))) |
| 1× | batch-egg-rewrite |
| 3288× | fma-lowering-fma.f32 |
| 3288× | fma-lowering-fma.f64 |
| 2508× | *-lowering-*.f32 |
| 2508× | *-lowering-*.f64 |
| 2022× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 245 |
| 1 | 272 | 214 |
| 2 | 2474 | 211 |
| 0 | 8526 | 211 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1))) |
(+ (* (* x x) -1/6) (+ (* x (* x (* (* x x) 3/40))) 1)) |
(* (* x x) -1/6) |
(* x x) |
(/ x (/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))))) |
(/ 1 (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))))) |
(+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))))) |
(* (* x x) (+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112)))))) |
(log (+ (* x 2) (/ 1/2 x))) |
(+ (* x 2) (/ 1/2 x)) |
(* x 2) |
(/ 1/2 x) |
(log (/ -1 (- x (sqrt (+ (* 1 1) (* x x)))))) |
(/ -1 (- x (sqrt (+ (* 1 1) (* x x))))) |
(- x (sqrt (+ (* 1 1) (* x x)))) |
(sqrt (+ (* 1 1) (* x x))) |
(- (log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) (log (+ (* x x) (+ 1 (* x x))))) |
(log (* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x))))))) |
(* (* (+ (* x x) (+ 1 (* x x))) -1) (/ 1 (- x (sqrt (+ (* 1 1) (* x x)))))) |
(* (+ (* x x) (+ 1 (* x x))) -1) |
(* (* x x) 3/40) |
(* x (* x (* (* x x) 3/40))) |
(+ -1/6 (* x (* x (+ 3/40 (* (* x x) -5/112))))) |
(* x (* x (+ 3/40 (* (* x x) -5/112)))) |
(log (+ (* x x) (+ 1 (* x x)))) |
| Outputs |
|---|
(+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))) x) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) |
(fma.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) |
(fma.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (-.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/216 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/216 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))) x) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) x) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))) x) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))) |
(+.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64))))) #s(literal 1 binary64)) |
(+.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))) |
(fma.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) |
(fma.f64 x (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 3/40 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 3/40 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 3/40 binary64))) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x))) x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 3/40 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 27/64000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 9/1600 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 3/40 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 9/1600 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/216 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/216 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/216 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))) (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))))) |
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(pow.f64 (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 3/40 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 3/40 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 3/40 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) x)) |
(+.f64 (*.f64 x (*.f64 x #s(literal 3/40 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) x)) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) x)) |
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) x)) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) |
(fma.f64 (*.f64 x #s(literal 3/40 binary64)) x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) |
(fma.f64 (*.f64 x #s(literal 3/40 binary64)) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) |
(fma.f64 (*.f64 x #s(literal 3/40 binary64)) x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) x)) |
(fma.f64 (*.f64 x #s(literal 3/40 binary64)) x (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27/64000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -125/1404928 binary64))))) (+.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -5/112 binary64)) #s(literal 3/40 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 9/1600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/12544 binary64)))) (-.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) |
(*.f64 (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))) x) |
(log.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(+.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))))) |
(+.f64 (log.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))) |
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (log.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))) |
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (log.f64 (+.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (log.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))) (log.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) (log.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (log.f64 (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) |
(neg.f64 (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))) |
(log1p.f64 (+.f64 (*.f64 x x) (*.f64 x x))) |
| 1× | egg-herbie |
| 6054× | +-lowering-+.f64 |
| 6054× | +-lowering-+.f32 |
| 3130× | *-lowering-*.f32 |
| 3130× | *-lowering-*.f64 |
| 1348× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 3016 |
| 1 | 1244 | 2611 |
| 2 | 4227 | 2542 |
| 0 | 8380 | 2542 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))) |
(* 3/40 (pow x 4)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 4)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(* -5/112 (pow x 7)) |
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* -5/112 (pow x 7)) |
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* -17/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 367/15120 (pow x 2)) 17/360))))) |
(/ -112/5 (pow x 6)) |
(* -1 (/ (+ 112/5 (* 4704/125 (/ 1 (pow x 2)))) (pow x 6))) |
(/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (* 4704/125 (/ 1 (pow x 2))))) (pow x 6)) |
(/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (+ (* 4704/125 (/ 1 (pow x 2))) (* 25545856/78125 (/ 1 (pow x 6)))))) (pow x 6)) |
(/ -112/5 (pow x 6)) |
(* -1 (/ (+ 112/5 (* 4704/125 (/ 1 (pow x 2)))) (pow x 6))) |
(/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (* 4704/125 (/ 1 (pow x 2))))) (pow x 6)) |
(/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (+ (* 4704/125 (/ 1 (pow x 2))) (* 25545856/78125 (/ 1 (pow x 6)))))) (pow x 6)) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))) |
(* -5/112 (pow x 6)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* -5/112 (pow x 6)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)) |
(* -5/112 (pow x 6)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* -5/112 (pow x 6)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(+ (log 1/2) (* -1 (log x))) |
(+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2)))) |
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2)))))) |
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8)))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 2 (pow x 2))) x) |
(/ (+ 1/2 (* 2 (pow x 2))) x) |
(/ (+ 1/2 (* 2 (pow x 2))) x) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
-1 |
(- x 1) |
(- (* x (+ 1 (* -1/2 x))) 1) |
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1) |
(/ -1/2 x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x) |
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x) |
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(- (+ (log 4) (* -3 (log (/ 1 x)))) (+ (log 2) (* -2 (log (/ 1 x))))) |
(- (+ (log 4) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 2) (* -2 (log (/ 1 x))))) |
(- (+ (log 4) (+ (* -3 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 2) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))) |
(- (+ (log 4) (+ (* -3 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (log 2) (+ (* -2 (log (/ 1 x))) (/ 3/32 (pow x 4))))) |
(- (* -1 (log (/ -1 x))) (+ (log 2) (* -2 (log (/ -1 x))))) |
(- (* -1 (log (/ -1 x))) (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(- (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4))) (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
(- (+ (* -1 (log (/ -1 x))) (/ 3/32 (pow x 4))) (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
x |
(* x (+ 1 (* 2 x))) |
(* x (+ 1 (* x (+ 2 (* -1/6 x))))) |
(* x (+ 1 (* x (+ 2 (* x (- (* -2 x) 1/6)))))) |
(+ (log 4) (* -3 (log (/ 1 x)))) |
(+ (log 4) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) |
(- (+ (log 4) (+ (* -3 (log (/ 1 x))) (* 3/4 (/ 1 (pow x 2))))) (/ 7/32 (pow x 4))) |
(- (+ (log 4) (+ (* -3 (log (/ 1 x))) (+ (* 3/4 (/ 1 (pow x 2))) (* 3/32 (/ 1 (pow x 6)))))) (/ 7/32 (pow x 4))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) (/ 1/32 (pow x 4))) |
(+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ 1/32 (* 1/96 (/ 1 (pow x 2)))) (pow x 4))) (* 1/4 (/ 1 (pow x 2))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 5/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 5/2 (* 2 x)))))) |
(* 4 (pow x 3)) |
(* (pow x 3) (+ 4 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 4 (+ (/ 1/4 (pow x 4)) (* 3 (/ 1 (pow x 2)))))) |
(* (pow x 3) (- (+ 4 (+ (/ 1/4 (pow x 4)) (* 3 (/ 1 (pow x 2))))) (* 1/64 (/ 1 (pow x 8))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/4 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/4 (/ 1 (pow x 2)))) (/ 1/64 (pow x 6))))) |
(* -1 (* x (- (+ 1 (+ (* 1/4 (/ 1 (pow x 2))) (* 1/64 (/ 1 (pow x 8))))) (/ 1/64 (pow x 6))))) |
-1 |
(- (* -2 (pow x 2)) 1) |
(- (* -2 (pow x 2)) 1) |
(- (* -2 (pow x 2)) 1) |
(* -2 (pow x 2)) |
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2))))) |
(* -2 (pow x 2)) |
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 4)) |
(* 3/40 (pow x 4)) |
(* 3/40 (pow x 4)) |
(* 3/40 (pow x 4)) |
(* 3/40 (pow x 4)) |
(* 3/40 (pow x 4)) |
(* 3/40 (pow x 4)) |
(* 3/40 (pow x 4)) |
(* 3/40 (pow x 4)) |
(* 3/40 (pow x 4)) |
(* 3/40 (pow x 4)) |
(* 3/40 (pow x 4)) |
-1/6 |
(- (* 3/40 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6) |
(* -5/112 (pow x 4)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* -5/112 (pow x 4)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(* 3/40 (pow x 2)) |
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) |
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) |
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) |
(* -5/112 (pow x 4)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* -5/112 (pow x 4)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* -2 (pow x 2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 8/3 (pow x 2)) 2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 8/3 (* -4 (pow x 2)))) 2)))) |
(+ (log 2) (* -2 (log (/ 1 x)))) |
(+ (log 2) (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/8 (pow x 4))) |
(- (+ (log 2) (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6)))))) (/ 1/8 (pow x 4))) |
(+ (log 2) (* -2 (log (/ -1 x)))) |
(+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/8 (pow x 4))) |
(- (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6)))))) (/ 1/8 (pow x 4))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))) |
(* 3/40 (pow x 5)) |
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* 3/40 (pow x 5)) |
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 #s(literal -3/40 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 #s(literal -3/40 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(* 3/40 (pow x 4)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* 3/40 (pow x 4)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
(* -5/112 (pow x 7)) |
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x)))) |
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 3/40 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -5/112 binary64)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* -5/112 (pow x 7)) |
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal -3/40 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (/.f64 #s(literal -3/40 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 5/112 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal -3/40 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(+ 1 (* (pow x 2) (+ 1/6 (* -17/360 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64)))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 367/15120 (pow x 2)) 17/360))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64)))))))) |
(/ -112/5 (pow x 6)) |
(/.f64 #s(literal -112/5 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* -1 (/ (+ 112/5 (* 4704/125 (/ 1 (pow x 2)))) (pow x 6))) |
(/.f64 (+.f64 #s(literal -112/5 binary64) (/.f64 #s(literal -4704/125 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (* 4704/125 (/ 1 (pow x 2))))) (pow x 6)) |
(/.f64 (+.f64 (/.f64 #s(literal 191296/9375 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -112/5 binary64) (/.f64 #s(literal -4704/125 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (- (/ 191296/9375 (pow x 4)) (+ 112/5 (+ (* 4704/125 (/ 1 (pow x 2))) (* 25545856/78125 (/ 1 (pow x 6)))))) (pow x 6)) |
(/.f64 (+.f64 (/.f64 #s(literal 191296/9375 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal -112/5 binary64) (/.f64 #s(literal -4704/125 binary64) (*.f64 x x))) (/.f64 #s(literal -25545856/78125 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64))) |
(/ -112/5 (pow x 6)) |
(/.f64 #s(literal -112/5 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* -1 (/ (+ 112/5 (* 4704/125 (/ 1 (pow x 2)))) (pow x 6))) |
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(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x)))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (+ 2 (* -2 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 8/3 (pow x 2)) 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 8/3 binary64))))))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 8/3 (* -4 (pow x 2)))) 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 8/3 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))))))) |
(+ (log 2) (* -2 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(+ (log 2) (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(- (+ (log 2) (+ (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/8 (pow x 4))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(- (+ (log 2) (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6)))))) (/ 1/8 (pow x 4))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (log.f64 x))) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(+ (log 2) (* -2 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -2 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 2))))) (/ 1/8 (pow x 4))) |
(+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow x 6)))))) (/ 1/8 (pow x 4))) |
(+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
Compiled 30330 to 3019 computations (90% saved)
13 alts after pruning (5 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1037 | 4 | 1041 |
| Fresh | 0 | 1 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 3 | 6 | 9 |
| Total | 1043 | 13 | 1056 |
| Status | Accuracy | Program |
|---|---|---|
| 44.5% | (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) | |
| 45.0% | (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) | |
| 44.1% | (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64))))))) | |
| 12.6% | (-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))) | |
| 20.0% | (-.f64 (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) | |
| ✓ | 42.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
| ✓ | 30.9% | (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
| ✓ | 30.3% | (log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | 34.6% | (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
| ✓ | 28.2% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 32.7% | (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
| ✓ | 27.3% | (log.f64 (+.f64 x x)) |
| ✓ | 44.8% | x |
Compiled 566 to 246 computations (56.5% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64))))))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(log.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 (log.f64 (*.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 (log.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))) |
| Outputs |
|---|
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
3 calls:
| 8.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 7.0ms | x |
| 6.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
| 86.0% | 3 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 86.0% | 3 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
Compiled 21 to 14 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64))))))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) |
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64))))))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
| Outputs |
|---|
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64))))))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
(log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64))))))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) |
(log.f64 (+.f64 x x)) |
(log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
| Outputs |
|---|
(log.f64 (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) |
(log.f64 (+.f64 x x)) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64))))))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) |
(log.f64 (+.f64 x x)) |
| Outputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(log.f64 (+.f64 x x)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.6% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -17/360 binary64))))))) |
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) |
| Outputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total -1.6b remaining (-4.5%)
Threshold costs -1.6b (-4.5%)
| Inputs |
|---|
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x) |
| Outputs |
|---|
x |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 6.318783277465475e-16 | 0.44967831725111496 |
| 10.0ms | -0.21266906292795887 | -0.013697895295300721 |
| 17.0ms | 240× | 0 | valid |
| 3.0ms | 16× | 1 | valid |
Compiled 522 to 342 computations (34.5% saved)
ival-add: 3.0ms (26.8% of total)ival-log: 3.0ms (26.8% of total)ival-mult: 2.0ms (17.8% of total)ival-sqrt: 2.0ms (17.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 6.318783277465475e-16 | 0.44967831725111496 |
| 15.0ms | -30495.79783531613 | -0.21266906292795887 |
| 19.0ms | 288× | 0 | valid |
| 3.0ms | 16× | 1 | valid |
Compiled 677 to 455 computations (32.8% saved)
ival-log: 4.0ms (31.6% of total)ival-add: 3.0ms (23.7% of total)ival-mult: 3.0ms (23.7% of total)ival-sqrt: 2.0ms (15.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.44967831725111496 | 8728.883441520971 |
| 15.0ms | -30495.79783531613 | -0.21266906292795887 |
| 19.0ms | 272× | 0 | valid |
Compiled 593 to 410 computations (30.9% saved)
ival-add: 3.0ms (28.3% of total)ival-log: 3.0ms (28.3% of total)ival-mult: 2.0ms (18.9% of total)ival-sqrt: 2.0ms (18.9% 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 |
|---|---|---|
| 13.0ms | 0.44967831725111496 | 8728.883441520971 |
| 38.0ms | -30495.79783531613 | -0.21266906292795887 |
| 41.0ms | 272× | 0 | valid |
Compiled 539 to 374 computations (30.6% saved)
ival-mult: 25.0ms (74.9% of total)ival-add: 3.0ms (9% of total)ival-log: 3.0ms (9% of total)ival-sqrt: 2.0ms (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 |
|---|---|---|
| 16.0ms | 0.44967831725111496 | 8728.883441520971 |
| 23.0ms | -30495.79783531613 | -0.21266906292795887 |
| 18.0ms | 272× | 0 | valid |
Compiled 507 to 342 computations (32.5% saved)
ival-add: 3.0ms (28.5% of total)ival-log: 3.0ms (28.5% of total)ival-mult: 2.0ms (19% of total)ival-sqrt: 2.0ms (19% 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 | 0.44967831725111496 | 8728.883441520971 |
| 12.0ms | 128× | 0 | valid |
Compiled 150 to 106 computations (29.3% saved)
ival-sqrt: 5.0ms (58.4% of total)ival-add: 1.0ms (11.7% of total)ival-log: 1.0ms (11.7% of total)ival-mult: 1.0ms (11.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 28× | *-commutative_binary64 |
| 28× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 242 |
| 1 | 113 | 242 |
| 2 | 116 | 242 |
| 3 | 118 | 242 |
| 4 | 119 | 242 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -3458764513820541/144115188075855872 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 3242591731706757/144115188075855872 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(if (<=.f64 x #s(literal -1261007895663739/1125899906842624 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) (if (<=.f64 x #s(literal 3242591731706757/144115188075855872 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(if (<=.f64 x #s(literal -799388933858263/562949953421312 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(if (<=.f64 x #s(literal -799388933858263/562949953421312 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) (log.f64 (+.f64 x x)))) |
(if (<=.f64 x #s(literal 3/2 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (log.f64 (+.f64 x x))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
x |
| Outputs |
|---|
(if (<=.f64 x #s(literal -3458764513820541/144115188075855872 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 3242591731706757/144115188075855872 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(if (<=.f64 x #s(literal -1261007895663739/1125899906842624 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) (if (<=.f64 x #s(literal 3242591731706757/144115188075855872 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) |
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(if (<=.f64 x #s(literal -799388933858263/562949953421312 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))) |
(if (<=.f64 x #s(literal -799388933858263/562949953421312 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -17/360 binary64) (*.f64 (*.f64 x x) #s(literal 367/15120 binary64))))))))) (log.f64 (+.f64 x x)))) |
(if (<=.f64 x #s(literal 3/2 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (log.f64 (+.f64 x x))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
x |
| 6054× | +-lowering-+.f64 |
| 6054× | +-lowering-+.f32 |
| 3480× | +-lowering-+.f64 |
| 3480× | +-lowering-+.f32 |
| 3250× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 41 | 14 |
| 2 | 326 | 14 |
| 3 | 3609 | 14 |
| 0 | 8485 | 14 |
| 0 | 122 | 434 |
| 1 | 355 | 365 |
| 2 | 1103 | 351 |
| 3 | 3812 | 333 |
| 0 | 8439 | 333 |
| 0 | 25 | 118 |
| 1 | 163 | 107 |
| 2 | 1459 | 105 |
| 0 | 8163 | 105 |
| 0 | 406 | 3016 |
| 1 | 1244 | 2611 |
| 2 | 4227 | 2542 |
| 0 | 8380 | 2542 |
| 0 | 37 | 204 |
| 1 | 269 | 158 |
| 2 | 2730 | 152 |
| 0 | 8332 | 152 |
| 0 | 7 | 8 |
| 1 | 13 | 6 |
| 2 | 14 | 6 |
| 3 | 15 | 6 |
| 0 | 15 | 6 |
| 1× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 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 710 to 392 computations (44.8% saved)
Compiled 556 to 208 computations (62.6% saved)
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