
Time bar (total: 6.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 1 |
Compiled 6 to 4 computations (33.3% saved)
const: 0.0ms (0% of total)ival->=: 0.0ms (0% of total)ival-acosh: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 445.0ms | 8256× | 0 | valid |
ival-acosh: 141.0ms (66.1% of total)ival->=: 62.0ms (29.1% of total)const: 7.0ms (3.3% of total)backward-pass: 3.0ms (1.4% of total)| 2× | egg-herbie |
| 16× | sum3-define |
| 12× | sub-neg |
| 8× | +-lowering-+.f64 |
| 8× | +-lowering-+.f32 |
| 8× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1 | 11 | 9 |
| 2 | 15 | 9 |
| 3 | 18 | 9 |
| 4 | 30 | 9 |
| 5 | 37 | 9 |
| 6 | 46 | 9 |
| 7 | 52 | 9 |
| 0 | 7 | 8 |
| 1 | 16 | 8 |
| 2 | 17 | 8 |
| 0 | 17 | 8 |
| 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 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))) |
| Inputs |
|---|
(acosh x) |
(acosh (neg x)) |
(neg (acosh (neg x))) |
| Outputs |
|---|
(acosh x) |
(acosh (neg x)) |
(neg (acosh (neg x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 131 | 0 | - | 0 | - | (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 | - | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 80.0ms | 512× | 0 | valid |
Compiled 80 to 23 computations (71.3% saved)
ival-sqrt: 30.0ms (61.9% of total)ival-log: 7.0ms (14.5% of total)ival-mult: 5.0ms (10.3% of total)ival-sub: 3.0ms (6.2% of total)ival-add: 3.0ms (6.2% of total)const: 1.0ms (2.1% of total)backward-pass: 0.0ms (0% of total)Compiled 10 to 7 computations (30% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.4% | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 8× | +-lowering-+.f64 |
| 8× | +-lowering-+.f32 |
| 4× | +-commutative |
| 2× | sqrt-lowering-sqrt.f64 |
| 2× | fma-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 28 |
| 1 | 16 | 28 |
| 2 | 17 | 28 |
| 0 | 17 | 28 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log (+ x (sqrt (- (* x x) 1)))) |
(+ x (sqrt (- (* x x) 1))) |
x |
(sqrt (- (* x x) 1)) |
(- (* x x) 1) |
(* x x) |
1 |
| Outputs |
|---|
(log (+ x (sqrt (- (* x x) 1)))) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))) |
(+ x (sqrt (- (* x x) 1))) |
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) |
x |
(sqrt (- (* x x) 1)) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
(- (* x x) 1) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(* x x) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| ✓ | accuracy | 100.0% | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| ✓ | accuracy | 52.3% | (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 39.0ms | 256× | 0 | valid |
Compiled 35 to 8 computations (77.1% saved)
ival-log: 3.0ms (28.5% of total)ival-mult: 2.0ms (19% of total)ival-sqrt: 2.0ms (19% of total)ival-sub: 1.0ms (9.5% of total)ival-add: 1.0ms (9.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log (+ x (sqrt (- (* x x) 1))))> |
#<alt (+ x (sqrt (- (* x x) 1)))> |
#<alt (sqrt (- (* x x) 1))> |
#<alt (- (* x x) 1)> |
#<alt (* x x)> |
| Outputs |
|---|
#<alt (log (sqrt -1))> |
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))> |
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))> |
#<alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))> |
#<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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 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)) (+ (/ 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 (sqrt -1)> |
#<alt (+ x (sqrt -1))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))> |
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))> |
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))> |
#<alt x> |
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))> |
#<alt -1> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<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 (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)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log (+ x (sqrt (- (* x x) 1)))) |
| 1.0ms | x | @ | -inf | (log (+ x (sqrt (- (* x x) 1)))) |
| 1.0ms | x | @ | inf | (log (+ x (sqrt (- (* x x) 1)))) |
| 0.0ms | x | @ | 0 | (sqrt (- (* x x) 1)) |
| 0.0ms | x | @ | inf | (- (* x x) 1) |
| 1× | batch-egg-rewrite |
| 12× | pow-to-exp |
| 12× | exp-lowering-exp.f32 |
| 12× | exp-prod |
| 12× | exp-lowering-exp.f64 |
| 10× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 26 |
| 1 | 20 | 26 |
| 2 | 27 | 26 |
| 3 | 35 | 26 |
| 4 | 51 | 26 |
| 5 | 61 | 26 |
| 6 | 69 | 26 |
| 0 | 69 | 26 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log (+ x (sqrt (- (* x x) 1)))) |
(+ x (sqrt (- (* x x) 1))) |
(sqrt (- (* x x) 1)) |
(- (* x x) 1) |
(* x x) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))) |
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) x) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) |
(pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(exp.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 x x) |
| 1× | egg-herbie |
| 3162× | *-lowering-*.f32 |
| 3162× | *-lowering-*.f64 |
| 1842× | +-lowering-+.f64 |
| 1842× | +-lowering-+.f32 |
| 1282× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 584 |
| 1 | 432 | 481 |
| 2 | 1370 | 469 |
| 3 | 4204 | 458 |
| 0 | 8278 | 458 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(+ (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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 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)) (+ (/ 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))))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(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)))) |
(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) |
| Outputs |
|---|
(log (sqrt -1)) |
(log.f64 (sqrt.f64 #s(literal -1 binary64))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 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 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.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 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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 -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (log.f64 #s(literal -1/2 binary64)))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ x (sqrt -1)) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) x) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 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 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.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 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 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 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))))))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(- (pow x 2) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(- (pow x 2) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+.f64 #s(literal -1 binary64) (*.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) |
(pow x 2) |
(*.f64 x x) |
Compiled 913 to 236 computations (74.2% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 73 | 4 | 77 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 74 | 4 | 78 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
| ▶ | 99.9% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
| ▶ | 100.0% | (log.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
| ▶ | 99.5% | (log.f64 (+.f64 x x)) |
Compiled 58 to 41 computations (29.3% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
| ✓ | cost-diff | 128 | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
| ✓ | cost-diff | 128 | (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
| ✓ | cost-diff | 256 | (log.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
| ✓ | cost-diff | 0 | (+.f64 x x) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 x x)) |
| 2062× | fma-lowering-fma.f32 |
| 2062× | fma-lowering-fma.f64 |
| 2028× | sum4-define |
| 1654× | fmm-def |
| 1262× | *-lowering-*.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 199 |
| 1 | 60 | 185 |
| 2 | 107 | 185 |
| 3 | 217 | 185 |
| 4 | 518 | 182 |
| 5 | 1257 | 182 |
| 6 | 3023 | 182 |
| 7 | 7200 | 182 |
| 0 | 8375 | 182 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ x x)) |
(+ x x) |
x |
(log (+ (* 1 (/ -1/2 x)) (* x (- 2 (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))) |
(+ (* 1 (/ -1/2 x)) (* x (- 2 (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))) |
(* 1 (/ -1/2 x)) |
1 |
(/ -1/2 x) |
-1/2 |
x |
(* x (- 2 (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))) |
(- 2 (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))) |
2 |
(/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))) |
(+ 1/8 (/ 1/16 (* x x))) |
1/8 |
(/ 1/16 (* x x)) |
1/16 |
(* x x) |
(* x (* x (* x x))) |
(* x (* x x)) |
(log (+ (* x 2) (* 1 (/ -1/2 x)))) |
(+ (* x 2) (* 1 (/ -1/2 x))) |
(* x 2) |
x |
2 |
(* 1 (/ -1/2 x)) |
1 |
(/ -1/2 x) |
-1/2 |
(log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))) |
(+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)) |
(* x 2) |
x |
2 |
(/ (+ -1/2 (/ -1/8 (* x x))) x) |
(+ -1/2 (/ -1/8 (* x x))) |
-1/2 |
(/ -1/8 (* x x)) |
-1/8 |
(* x x) |
| Outputs |
|---|
(log (+ x x)) |
(log.f64 (*.f64 x #s(literal 2 binary64))) |
(+ x x) |
(*.f64 x #s(literal 2 binary64)) |
x |
(log (+ (* 1 (/ -1/2 x)) (* x (- 2 (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))) |
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))))) |
(+ (* 1 (/ -1/2 x)) (* x (- 2 (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(* 1 (/ -1/2 x)) |
(/.f64 #s(literal -1/2 binary64) x) |
1 |
#s(literal 1 binary64) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
-1/2 |
#s(literal -1/2 binary64) |
x |
(* x (- 2 (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(- 2 (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
2 |
#s(literal 2 binary64) |
(/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(+ 1/8 (/ 1/16 (* x x))) |
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) |
1/8 |
#s(literal 1/8 binary64) |
(/ 1/16 (* x x)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
1/16 |
#s(literal 1/16 binary64) |
(* x x) |
(*.f64 x x) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(log (+ (* x 2) (* 1 (/ -1/2 x)))) |
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) |
(+ (* x 2) (* 1 (/ -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 (/ -1/2 x)) |
(/.f64 #s(literal -1/2 binary64) x) |
1 |
#s(literal 1 binary64) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
-1/2 |
#s(literal -1/2 binary64) |
(log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))) |
(log.f64 (+.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 (/ -1/8 (* x x))) x)) |
(+.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) |
(*.f64 x #s(literal 2 binary64)) |
x |
2 |
#s(literal 2 binary64) |
(/ (+ -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) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.2% | (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (+.f64 x x) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 x x)) |
| 126.0ms | 256× | 0 | valid |
Compiled 245 to 30 computations (87.8% saved)
ival-add: 19.0ms (37.3% of total)ival-log: 10.0ms (19.6% of total)ival-mult: 10.0ms (19.6% of total)ival-div: 9.0ms (17.7% of total)ival-sub: 1.0ms (2% of total)const: 1.0ms (2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log (+ x x))> |
#<alt (+ x x)> |
#<alt (log (+ (* 1 (/ -1/2 x)) (* x (- 2 (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))))> |
#<alt (+ (* 1 (/ -1/2 x)) (* x (- 2 (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))> |
#<alt (* 1 (/ -1/2 x))> |
#<alt (* x (- 2 (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))> |
#<alt (log (+ (* x 2) (* 1 (/ -1/2 x))))> |
#<alt (+ (* x 2) (* 1 (/ -1/2 x)))> |
#<alt (* x 2)> |
#<alt (log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)))> |
#<alt (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))> |
#<alt (/ (+ -1/2 (/ -1/8 (* x x))) x)> |
#<alt (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))> |
#<alt (/ 1/16 (* x x))> |
#<alt (* x (* x x))> |
#<alt (* x (* x (* x x)))> |
#<alt (/ -1/8 (* x x))> |
#<alt (* x x)> |
| Outputs |
|---|
#<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 (+ (log -1/16) (* -5 (log x)))> |
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))> |
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))> |
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))> |
#<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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (/ -1/16 (pow x 5))> |
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))> |
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))> |
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))> |
#<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 (/ -1/16 (pow x 5))> |
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))> |
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))> |
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))> |
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))> |
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))> |
#<alt (+ (log -1/2) (* -1 (log x)))> |
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))> |
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))> |
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 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 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<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 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)> |
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)> |
#<alt (/ (- (* 2 (pow x 2)) 1/2) 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 (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 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 (+ (log -1/8) (* -3 (log x)))> |
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))> |
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))> |
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))> |
#<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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (/ -1/8 (pow x 3))> |
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))> |
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))> |
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))> |
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))> |
#<alt (/ -1/8 (pow x 3))> |
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))> |
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))> |
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))> |
#<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 (/ -1/2 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 (/ 1/16 (pow x 6))> |
#<alt (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6))> |
#<alt (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6))> |
#<alt (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6))> |
#<alt (/ 1/8 (pow x 4))> |
#<alt (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ 1/8 (pow x 4))> |
#<alt (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ 1/16 (pow x 2))> |
#<alt (/ 1/16 (pow x 2))> |
#<alt (/ 1/16 (pow x 2))> |
#<alt (/ 1/16 (pow x 2))> |
#<alt (/ 1/16 (pow x 2))> |
#<alt (/ 1/16 (pow x 2))> |
#<alt (/ 1/16 (pow x 2))> |
#<alt (/ 1/16 (pow x 2))> |
#<alt (/ 1/16 (pow x 2))> |
#<alt (/ 1/16 (pow x 2))> |
#<alt (/ 1/16 (pow x 2))> |
#<alt (/ 1/16 (pow x 2))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<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 (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)> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | 0 | (log (+ x x)) |
| 20.0ms | x | @ | -inf | (log (+ x x)) |
| 6.0ms | x | @ | inf | (log (+ x x)) |
| 5.0ms | x | @ | 0 | (log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))) |
| 1.0ms | x | @ | 0 | (log (+ (* 1 (/ -1/2 x)) (* x (- 2 (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))) |
| 1× | batch-egg-rewrite |
| 2898× | *-lowering-*.f32 |
| 2898× | *-lowering-*.f64 |
| 2170× | /-lowering-/.f32 |
| 2170× | /-lowering-/.f64 |
| 1276× | sum5-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 144 |
| 1 | 94 | 132 |
| 2 | 352 | 129 |
| 3 | 1522 | 129 |
| 4 | 7173 | 129 |
| 0 | 8271 | 129 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ x x)) |
(+ x x) |
(log (+ (* 1 (/ -1/2 x)) (* x (- 2 (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))) |
(+ (* 1 (/ -1/2 x)) (* x (- 2 (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))) |
(* 1 (/ -1/2 x)) |
(* x (- 2 (/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))) |
(log (+ (* x 2) (* 1 (/ -1/2 x)))) |
(+ (* x 2) (* 1 (/ -1/2 x))) |
(* x 2) |
(log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))) |
(+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)) |
(/ (+ -1/2 (/ -1/8 (* x x))) x) |
(/ (+ 1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))) |
(/ 1/16 (* x x)) |
(* x (* x x)) |
(* x (* x (* x x))) |
(/ -1/8 (* x x)) |
(* x x) |
| Outputs |
|---|
(log.f64 (/.f64 x #s(literal 1/2 binary64))) |
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -2 binary64))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1/2 binary64))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 x x) |
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/2 binary64))) |
(-.f64 x (-.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1/2 binary64))) |
(-.f64 (+.f64 x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x x) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) x) |
(neg.f64 (/.f64 x #s(literal -1/2 binary64))) |
(/.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)) |
(*.f64 (/.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)) |
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))))) |
(+.f64 x (+.f64 (+.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) x))) |
(+.f64 x (+.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))))) |
(+.f64 x (+.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(+.f64 x (-.f64 (+.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (/.f64 x #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) x)) (+.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 x #s(literal 1/2 binary64))) |
(-.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (/.f64 x #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))))) |
(-.f64 (+.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x #s(literal 2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(fma.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
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(/.f64 (/.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(literal 1/8 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 8 binary64)) |
(/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal -1/8 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 #s(literal -1/8 binary64) x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/8 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/8 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -8 binary64))) |
(*.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/8 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1/8 binary64) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 x x)) |
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (*.f64 x x)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
| 1× | egg-herbie |
| 2476× | fma-lowering-fma.f32 |
| 2476× | fma-lowering-fma.f64 |
| 2068× | +-lowering-+.f64 |
| 2068× | +-lowering-+.f32 |
| 2044× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 1705 |
| 1 | 652 | 1485 |
| 2 | 2067 | 1455 |
| 3 | 5933 | 1455 |
| 0 | 8078 | 1455 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (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) |
(+ (log -1/16) (* -5 (log x))) |
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2)))) |
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2)))))) |
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2)))))))) |
(+ (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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(/ -1/16 (pow x 5)) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5)) |
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5)) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(* 2 x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2))) |
(/ -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) |
(/ -1/16 (pow x 5)) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5)) |
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5)) |
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5)) |
(* 2 x) |
(* x (- 2 (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))) |
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))) |
(* 2 x) |
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2))) |
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2))) |
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2))) |
(+ (log -1/2) (* -1 (log x))) |
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x)))) |
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4)))) |
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 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 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (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 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(/ -1/2 x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(/ (- (* 2 (pow x 2)) 1/2) 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) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 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) |
(+ (log -1/8) (* -3 (log x))) |
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2)))) |
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2)))))) |
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24)))))) |
(+ (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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(/ -1/8 (pow x 3)) |
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3)) |
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3)) |
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3)) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* 2 x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) |
(/ -1/8 (pow x 3)) |
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3)) |
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3)) |
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3)) |
(/ -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)) |
(/ -1/2 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)) |
(/ 1/16 (pow x 6)) |
(/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6)) |
(/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6)) |
(/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6)) |
(/ 1/8 (pow x 4)) |
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)) |
(/ 1/8 (pow x 4)) |
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)) |
(/ 1/16 (pow x 2)) |
(/ 1/16 (pow x 2)) |
(/ 1/16 (pow x 2)) |
(/ 1/16 (pow x 2)) |
(/ 1/16 (pow x 2)) |
(/ 1/16 (pow x 2)) |
(/ 1/16 (pow x 2)) |
(/ 1/16 (pow x 2)) |
(/ 1/16 (pow x 2)) |
(/ 1/16 (pow x 2)) |
(/ 1/16 (pow x 2)) |
(/ 1/16 (pow x 2)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(/ -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)) |
(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) |
| Outputs |
|---|
(+ (log 2) (log x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (log x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (log x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (log x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(+ (log -1/16) (* -5 (log x))) |
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 (log.f64 x) #s(literal -5 binary64))) |
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2)))) |
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2)))))) |
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 (log.f64 x) #s(literal -5 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 6 binary64))))) |
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2)))))))) |
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 (log.f64 x) #s(literal -5 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -136/3 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 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
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(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6)) |
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(/ 1/8 (pow x 4)) |
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(/ 1/8 (pow x 4)) |
(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(/ 1/16 (pow x 2)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(/ 1/16 (pow x 2)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(/ 1/16 (pow x 2)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(/ 1/16 (pow x 2)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(/ 1/16 (pow x 2)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(/ 1/16 (pow x 2)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(/ 1/16 (pow x 2)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(/ 1/16 (pow x 2)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(/ 1/16 (pow x 2)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(/ 1/16 (pow x 2)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(/ 1/16 (pow x 2)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(/ 1/16 (pow x 2)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.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) |
(pow x 2) |
(*.f64 x x) |
Compiled 24178 to 4024 computations (83.4% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1130 | 2 | 1132 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 1132 | 4 | 1136 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| ▶ | 100.0% | (log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))))) |
| ✓ | 100.0% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
| ✓ | 99.5% | (log.f64 (+.f64 x x)) |
Compiled 52 to 34 computations (34.6% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 x #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))))) |
| 3060× | sum3-define |
| 2188× | sum4-define |
| 918× | fnmadd-define |
| 884× | times-frac |
| 788× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 109 |
| 1 | 32 | 107 |
| 2 | 67 | 107 |
| 3 | 166 | 107 |
| 4 | 434 | 107 |
| 5 | 1476 | 107 |
| 6 | 4954 | 107 |
| 7 | 7935 | 107 |
| 0 | 8483 | 107 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (- (/ x 1/2) (- (/ 1/2 x) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x)))))) |
(- (/ x 1/2) (- (/ 1/2 x) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x))))) |
(/ x 1/2) |
x |
1/2 |
(- (/ 1/2 x) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x)))) |
(/ 1/2 x) |
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x))) |
(+ -1/8 (/ -1/16 (* x x))) |
-1/8 |
(/ -1/16 (* x x)) |
-1/16 |
(* x x) |
(* x (* x x)) |
(log (- (/ x 1/2) (/ 1/2 x))) |
(- (/ x 1/2) (/ 1/2 x)) |
(/ x 1/2) |
x |
1/2 |
(/ 1/2 x) |
| Outputs |
|---|
(log (- (/ x 1/2) (- (/ 1/2 x) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x)))))) |
(log.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))))) |
(- (/ x 1/2) (- (/ 1/2 x) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x))))) |
(+.f64 (/.f64 x #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(/ x 1/2) |
(/.f64 x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(- (/ 1/2 x) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(+ -1/8 (/ -1/16 (* x x))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) |
-1/8 |
#s(literal -1/8 binary64) |
(/ -1/16 (* x x)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
-1/16 |
#s(literal -1/16 binary64) |
(* x x) |
(*.f64 x x) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(log (- (/ x 1/2) (/ 1/2 x))) |
(log.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x))) |
(- (/ x 1/2) (/ 1/2 x)) |
(+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(/ x 1/2) |
(/.f64 x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
| 89.0ms | 256× | 0 | valid |
Compiled 128 to 17 computations (86.7% saved)
ival-div: 8.0ms (34.3% of total)ival-log: 5.0ms (21.4% of total)ival-sub: 4.0ms (17.1% of total)ival-mult: 3.0ms (12.9% of total)ival-add: 1.0ms (4.3% of total)const: 1.0ms (4.3% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log (- (/ x 1/2) (- (/ 1/2 x) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x))))))> |
#<alt (- (/ x 1/2) (- (/ 1/2 x) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x)))))> |
#<alt (/ x 1/2)> |
#<alt (- (/ 1/2 x) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x))))> |
#<alt (log (- (/ x 1/2) (/ 1/2 x)))> |
#<alt (- (/ x 1/2) (/ 1/2 x))> |
#<alt (/ 1/2 x)> |
#<alt (/ -1/16 (* x x))> |
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x)))> |
#<alt (* x (* x x))> |
| Outputs |
|---|
#<alt (+ (log -1/16) (* -5 (log x)))> |
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))> |
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))> |
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))> |
#<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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (/ -1/16 (pow x 5))> |
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))> |
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))> |
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 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 (/ 1/16 (pow x 5))> |
#<alt (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 5))> |
#<alt (/ (+ 1/16 (* (pow x 2) (+ 1/8 (* 1/2 (pow x 2))))) (pow x 5))> |
#<alt (/ (+ 1/16 (* (pow x 2) (+ 1/8 (* 1/2 (pow x 2))))) (pow x 5))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)> |
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))> |
#<alt (+ (log -1/2) (* -1 (log x)))> |
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))> |
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))> |
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 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 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<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 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)> |
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)> |
#<alt (/ (- (* 2 (pow x 2)) 1/2) 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 (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<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 (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 5))> |
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))> |
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))> |
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))> |
#<alt (/ -1/8 (pow x 3))> |
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (/ -1/8 (pow x 3))> |
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ x 1/2) |
| 0.0ms | x | @ | -inf | (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x))) |
| 0.0ms | x | @ | 0 | (log (- (/ x 1/2) (- (/ 1/2 x) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x)))))) |
| 0.0ms | x | @ | -inf | (log (- (/ x 1/2) (- (/ 1/2 x) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x)))))) |
| 0.0ms | x | @ | 0 | (/ -1/16 (* x x)) |
| 1× | batch-egg-rewrite |
| 2328× | *-lowering-*.f32 |
| 2328× | *-lowering-*.f64 |
| 2218× | /-lowering-/.f32 |
| 2218× | /-lowering-/.f64 |
| 1176× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 89 |
| 1 | 71 | 85 |
| 2 | 472 | 82 |
| 3 | 7123 | 82 |
| 0 | 8003 | 82 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (- (/ x 1/2) (- (/ 1/2 x) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x)))))) |
(- (/ x 1/2) (- (/ 1/2 x) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x))))) |
(/ x 1/2) |
(- (/ 1/2 x) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x)))) |
(log (- (/ x 1/2) (/ 1/2 x))) |
(- (/ x 1/2) (/ 1/2 x)) |
(/ 1/2 x) |
(/ -1/16 (* x x)) |
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x))) |
(* x (* x x)) |
| Outputs |
|---|
(log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64)))))) (log.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 (log.f64 (+.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))))) (log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)))) |
(-.f64 (log.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) x) (/.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))))) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))))) |
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64))) x)))) (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)))) (log.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 (log.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))))))) (log.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)))) |
(-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))))))) (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(+.f64 (/.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
(+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x))) |
(+.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
(+.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)) (fma.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(+.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(+.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)) (fma.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)) (/.f64 x #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(+.f64 (-.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
(-.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)) (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) |
(-.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)) (/.f64 x #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x) (/.f64 x #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(-.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
(-.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
(fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x))) |
(fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
(fma.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
(fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x))) |
(fma.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x) (/.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
(neg.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
(neg.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x) (/.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) x) (/.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))))))) |
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(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/16 binary64) x))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -16 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -1/16 binary64))) |
(/.f64 (/.f64 #s(literal -1/16 binary64) x) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 1/16 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1 binary64)) x) |
(pow.f64 (/.f64 x (/.f64 #s(literal -1/16 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/16 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/16 binary64) x)) |
(*.f64 (/.f64 #s(literal -1/16 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) #s(literal -1/8 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) #s(literal -1/8 binary64))) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)) (*.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))) |
(+.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x)))) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/.f64 (+.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) x)) |
(/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) (*.f64 x (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64))) x) (*.f64 x (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x) (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x)) (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) x) |
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) x) |
(pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)) |
(*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (/.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (+.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) (/.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) (/.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
(*.f64 (/.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x)) |
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x)))) |
(neg.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 0 binary64) x)))) |
| 1× | egg-herbie |
| 2144× | +-lowering-+.f64 |
| 2144× | +-lowering-+.f32 |
| 1800× | sum3-define |
| 1720× | *-lowering-*.f32 |
| 1720× | *-lowering-*.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1049 |
| 1 | 526 | 906 |
| 2 | 1635 | 884 |
| 3 | 4559 | 882 |
| 0 | 8161 | 882 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (log -1/16) (* -5 (log x))) |
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2)))) |
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2)))))) |
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2)))))))) |
(+ (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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(/ -1/16 (pow x 5)) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5)) |
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5)) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(* 2 x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 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) |
(/ 1/16 (pow x 5)) |
(/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (+ 1/8 (* 1/2 (pow x 2))))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (+ 1/8 (* 1/2 (pow x 2))))) (pow x 5)) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(+ (log -1/2) (* -1 (log x))) |
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x)))) |
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4)))) |
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 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 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (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 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(/ -1/2 x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(/ (- (* 2 (pow x 2)) 1/2) 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) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(/ 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) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 5)) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5)) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5)) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5)) |
(/ -1/8 (pow x 3)) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3))) |
(/ -1/8 (pow x 3)) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
(+ (log -1/16) (* -5 (log x))) |
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 #s(literal -5 binary64) (log.f64 x))) |
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2)))) |
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2)))))) |
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) (*.f64 x (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 6 binary64))))))) |
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2)))))))) |
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 #s(literal -5 binary64) (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -136/3 binary64))))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) |
(- (+ (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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(/ -1/16 (pow x 5)) |
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5)) |
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5)) |
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5)) |
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 5 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 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2))) |
(*.f64 x (-.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(/ 1/16 (pow x 5)) |
(/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 1/16 (* (pow x 2) (+ 1/8 (* 1/2 (pow x 2))))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 1/16 (* (pow x 2) (+ 1/8 (* 1/2 (pow x 2))))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 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) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 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 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(+ (log -1/2) (* -1 (log x))) |
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)) |
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x)))) |
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) (log.f64 x))) |
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4)))) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -8 binary64)))) (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))) |
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4)))) |
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) #s(literal -64/3 binary64)))))) (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) |
(- (+ (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 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 x x))) (*.f64 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (/.f64 (+.f64 #s(literal -1/32 binary64) (/.f64 #s(literal -1/192 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.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)))) |
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 x x))) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/32 binary64) (/.f64 #s(literal -1/192 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) |
(* 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 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 5)) |
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5)) |
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5)) |
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5)) |
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(/ -1/8 (pow x 3)) |
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/ -1/8 (pow x 3)) |
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
Compiled 27235 to 3578 computations (86.9% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1008 | 1 | 1009 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 2 | 2 |
| Total | 1009 | 4 | 1013 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
| ✓ | 99.9% | (log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 100.0% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
| ✓ | 99.5% | (log.f64 (+.f64 x x)) |
Compiled 50 to 33 computations (34% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
| ✓ | cost-diff | 0 | (log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
| 1382× | --lowering--.f32 |
| 1382× | --lowering--.f64 |
| 1376× | +-lowering-+.f64 |
| 1376× | +-lowering-+.f32 |
| 1372× | sum4-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 87 |
| 1 | 26 | 87 |
| 2 | 52 | 87 |
| 3 | 120 | 87 |
| 4 | 315 | 87 |
| 5 | 918 | 87 |
| 6 | 3841 | 87 |
| 7 | 7243 | 87 |
| 0 | 8028 | 87 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (- (/ x 1/2) (/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x))) |
(- (/ x 1/2) (/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)) |
(/ x 1/2) |
x |
1/2 |
(/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x) |
(- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) |
(/ (+ -1/8 (/ -1/16 (* x x))) (* x x)) |
(+ -1/8 (/ -1/16 (* x x))) |
-1/8 |
(/ -1/16 (* x x)) |
-1/16 |
(* x x) |
| Outputs |
|---|
(log (- (/ x 1/2) (/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x))) |
(log.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64)) x))) |
(- (/ x 1/2) (/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)) |
(+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64)) x)) |
(/ x 1/2) |
(/.f64 x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) |
(/ (+ -1/8 (/ -1/16 (* x x))) (* x x)) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) |
(+ -1/8 (/ -1/16 (* x x))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) |
-1/8 |
#s(literal -1/8 binary64) |
(/ -1/16 (* x x)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
-1/16 |
#s(literal -1/16 binary64) |
(* x x) |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.2% | (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) |
| 42.0ms | 256× | 0 | valid |
Compiled 102 to 14 computations (86.3% saved)
ival-div: 8.0ms (47.8% of total)ival-log: 3.0ms (17.9% of total)ival-sub: 2.0ms (11.9% of total)ival-mult: 2.0ms (11.9% of total)ival-add: 1.0ms (6% of total)const: 1.0ms (6% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log (- (/ x 1/2) (/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)))> |
#<alt (- (/ x 1/2) (/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x))> |
#<alt (/ x 1/2)> |
#<alt (/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)> |
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))> |
#<alt (/ -1/16 (* x x))> |
| Outputs |
|---|
#<alt (+ (log -1/16) (* -5 (log x)))> |
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))> |
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))> |
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))> |
#<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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (/ -1/16 (pow x 5))> |
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))> |
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))> |
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 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 (/ 1/16 (pow x 5))> |
#<alt (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 5))> |
#<alt (/ (+ 1/16 (* (pow x 2) (+ 1/8 (* 1/2 (pow x 2))))) (pow x 5))> |
#<alt (/ (+ 1/16 (* (pow x 2) (+ 1/8 (* 1/2 (pow x 2))))) (pow x 5))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)> |
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))> |
#<alt (/ -1/16 (pow x 4))> |
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4))> |
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4))> |
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4))> |
#<alt (/ -1/8 (pow x 2))> |
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ -1/8 (pow x 2))> |
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
#<alt (/ -1/16 (pow x 2))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (log (- (/ x 1/2) (/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x))) |
| 0.0ms | x | @ | 0 | (/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x) |
| 0.0ms | x | @ | -inf | (log (- (/ x 1/2) (/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x))) |
| 0.0ms | x | @ | inf | (/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x) |
| 0.0ms | x | @ | 0 | (/ (+ -1/8 (/ -1/16 (* x x))) (* x x)) |
| 1× | batch-egg-rewrite |
| 2844× | /-lowering-/.f32 |
| 2844× | /-lowering-/.f64 |
| 1814× | fma-lowering-fma.f32 |
| 1814× | fma-lowering-fma.f64 |
| 1632× | prod-diff |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 64 |
| 1 | 59 | 62 |
| 2 | 330 | 62 |
| 3 | 2506 | 62 |
| 0 | 8682 | 62 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (- (/ x 1/2) (/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x))) |
(- (/ x 1/2) (/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x)) |
(/ x 1/2) |
(/ (- 1/2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x x))) x) |
(/ (+ -1/8 (/ -1/16 (* x x))) (* x x)) |
(/ -1/16 (* x x)) |
| Outputs |
|---|
(log.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64)) x))) |
(+.f64 (log.f64 (-.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))))))) (log.f64 (/.f64 #s(literal 2 binary64) x))) |
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64)) x)))) |
(+.f64 (log.f64 (+.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)) #s(literal -1/2 binary64))) (log.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x #s(literal 1/2 binary64))))) |
(+.f64 (log.f64 (+.f64 (/.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64)) x)) #s(literal 1/2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64)) x))))) |
(+.f64 (log.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64)) x)))) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64))))) (log.f64 #s(literal -2 binary64))) |
(+.f64 (log.f64 (+.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) x))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64))))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))))))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(+.f64 (log.f64 (/.f64 (-.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))))) #s(literal 1/2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (-.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))))))) |
(-.f64 (log.f64 (-.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))))))) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64)) x)))))) |
(-.f64 (log.f64 (+.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x)))) |
(-.f64 (log.f64 (+.f64 (/.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64)) x)) #s(literal 1/2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64)) x)))) |
(-.f64 (log.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64)) x)))) (log.f64 #s(literal 1/2 binary64))) |
(-.f64 (log.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64)) x)))) (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) x)))) |
(-.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64))))) (log.f64 #s(literal -1/2 binary64))) |
(-.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/2 binary64))))) (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(-.f64 (log.f64 (+.f64 (/.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) x))) (log.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)))))) |
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(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))) (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) #s(literal -1 binary64))) x) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x))) x) |
(pow.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x)) |
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal -1/16 binary64) x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/16 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -16 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -1/16 binary64))) |
(/.f64 (/.f64 #s(literal -1/16 binary64) x) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 x #s(literal -1/16 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 1/16 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (/.f64 #s(literal 1/16 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 16 binary64)) |
(/.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) x))) x) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal -1 binary64))) x) |
(pow.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal -1/16 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 #s(literal -1/16 binary64) x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/16 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/16 binary64) x)) |
(*.f64 (/.f64 #s(literal -1/16 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 x #s(literal 1/16 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1/16 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1/16 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x #s(literal 1/16 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
| 1× | egg-herbie |
| 2206× | +-lowering-+.f64 |
| 2206× | +-lowering-+.f32 |
| 2072× | *-lowering-*.f32 |
| 2072× | *-lowering-*.f64 |
| 1474× | --lowering--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 698 |
| 1 | 387 | 593 |
| 2 | 1163 | 577 |
| 3 | 3247 | 567 |
| 4 | 7814 | 567 |
| 0 | 8184 | 567 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (log -1/16) (* -5 (log x))) |
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2)))) |
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2)))))) |
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2)))))))) |
(+ (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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(/ -1/16 (pow x 5)) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5)) |
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5)) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(* 2 x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 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) |
(/ 1/16 (pow x 5)) |
(/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (+ 1/8 (* 1/2 (pow x 2))))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (+ 1/8 (* 1/2 (pow x 2))))) (pow x 5)) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(/ -1/16 (pow x 4)) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4)) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4)) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4)) |
(/ -1/8 (pow x 2)) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) |
(/ -1/8 (pow x 2)) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
(/ -1/16 (pow x 2)) |
| Outputs |
|---|
(+ (log -1/16) (* -5 (log x))) |
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 #s(literal -5 binary64) (log.f64 x))) |
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2)))) |
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2)))))) |
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) (*.f64 x (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 6 binary64)))))))) |
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2)))))))) |
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 #s(literal -5 binary64) (log.f64 x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -136/3 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 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(/ -1/16 (pow x 5)) |
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5)) |
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5)) |
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5)) |
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))))) (pow.f64 x #s(literal 5 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.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 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal -1/2 binary64) x)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(/ 1/16 (pow x 5)) |
(/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 1/16 (* (pow x 2) (+ 1/8 (* 1/2 (pow x 2))))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 1/16 (* (pow x 2) (+ 1/8 (* 1/2 (pow x 2))))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (pow.f64 x #s(literal 5 binary64))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 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) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 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 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(/ -1/16 (pow x 4)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4)) |
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4)) |
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4)) |
(/.f64 (+.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x x)) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x x)) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ -1/8 (pow x 2)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 x x)) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x x)) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x x)) |
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
(/ -1/16 (pow x 2)) |
(/.f64 #s(literal -1/16 binary64) (*.f64 x x)) |
Compiled 30447 to 3261 computations (89.3% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 895 | 0 | 895 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 895 | 4 | 899 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
| ✓ | 99.9% | (log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 100.0% | (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
| ✓ | 99.5% | (log.f64 (+.f64 x x)) |
Compiled 164 to 83 computations (49.4% saved)
| Inputs |
|---|
(log.f64 (+.f64 x x)) |
(log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
(log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
(log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))))) |
(log.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| Outputs |
|---|
(log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
3 calls:
| 5.0ms | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 3.0ms | x |
| 3.0ms | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 100.0% | 1 | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
Compiled 21 to 14 computations (33.3% saved)
| Inputs |
|---|
(log.f64 (+.f64 x x)) |
(log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
| Outputs |
|---|
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(log.f64 (+.f64 x x)) |
(log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
| Outputs |
|---|
(log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(log.f64 (+.f64 x x)) |
| Outputs |
|---|
(log.f64 (+.f64 x x)) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 260× | unsub-neg_binary64 |
| 164× | distribute-lft-neg-in_binary64 |
| 158× | neg-mul-1_binary64 |
| 118× | cancel-sign-sub_binary64 |
| 104× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 46 |
| 1 | 36 | 46 |
| 2 | 58 | 46 |
| 3 | 83 | 46 |
| 4 | 123 | 46 |
| 5 | 174 | 46 |
| 6 | 234 | 46 |
| 7 | 325 | 46 |
| 8 | 468 | 46 |
| 9 | 561 | 46 |
| 10 | 634 | 46 |
| 11 | 695 | 46 |
| 12 | 742 | 46 |
| 13 | 761 | 46 |
| 14 | 774 | 46 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
(log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(log.f64 (+.f64 x x)) |
| Outputs |
|---|
(log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x))) |
(log.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/2 binary64)) x))) |
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
(log.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))) |
(log.f64 (+.f64 x x)) |
| 3162× | *-lowering-*.f32 |
| 3162× | *-lowering-*.f64 |
| 2898× | *-lowering-*.f32 |
| 2898× | *-lowering-*.f64 |
| 2328× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 144 |
| 1 | 94 | 132 |
| 2 | 352 | 129 |
| 3 | 1522 | 129 |
| 4 | 7173 | 129 |
| 0 | 8271 | 129 |
| 0 | 16 | 89 |
| 1 | 71 | 85 |
| 2 | 472 | 82 |
| 3 | 7123 | 82 |
| 0 | 8003 | 82 |
| 0 | 150 | 584 |
| 1 | 432 | 481 |
| 2 | 1370 | 469 |
| 3 | 4204 | 458 |
| 0 | 8278 | 458 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 94 to 58 computations (38.3% saved)
Compiled 140 to 84 computations (40% saved)
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