
Time bar (total: 7.3s)
| 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 5 computations (16.7% saved)
| 376.0ms | 8 256× | 0 | valid |
ival-acosh: 119.0ms (77.4% of total)ival->=: 25.0ms (16.3% of total)exact: 6.0ms (3.9% of total)ival-assert: 3.0ms (2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 125 | 0 | - | 0 | - | (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
| 1 | 0 | - | 0 | - | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 0 | 0 | - | 0 | - | (-.f32 (*.f32 x x) #s(literal 1 binary32)) |
| 0 | 0 | - | 0 | - | (*.f32 x x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f32 | (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) | oflow-rescue | 125 | 0 |
| ↳ | (*.f32 x x) | overflow | 125 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 125 | |
log.f32 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) | oflow-rescue | 1 | 0 |
| ↳ | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) | overflow | 1 | |
| ↳ | (*.f32 x x) | overflow | 125 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 125 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 125 | 0 |
| - | 0 | 131 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 125 | 0 | 0 |
| - | 0 | 1 | 130 |
| number | freq |
|---|---|
| 0 | 131 |
| 1 | 124 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 68.0ms | 512× | 0 | valid |
Compiled 112 to 32 computations (71.4% saved)
ival-mult: 6.0ms (29.2% of total)ival-log: 5.0ms (24.3% of total)ival-sqrt: 4.0ms (19.5% of total)ival-sub: 3.0ms (14.6% of total)ival-add: 2.0ms (9.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 1 | 10 | 7 |
| 2 | 14 | 7 |
| 3 | 17 | 7 |
| 4 | 21 | 7 |
| 5 | 28 | 7 |
| 6 | 35 | 7 |
| 0 | 7 | 9 |
| 0 | 12 | 9 |
| 1 | 21 | 9 |
| 2 | 25 | 9 |
| 3 | 40 | 9 |
| 4 | 71 | 9 |
| 5 | 132 | 9 |
| 6 | 298 | 9 |
| 7 | 578 | 9 |
| 8 | 2337 | 9 |
| 9 | 3439 | 9 |
| 10 | 4718 | 9 |
| 11 | 5410 | 9 |
| 12 | 5718 | 9 |
| 13 | 5904 | 9 |
| 14 | 6006 | 9 |
| 15 | 6325 | 9 |
| 16 | 6819 | 9 |
| 17 | 7862 | 9 |
| 0 | 8072 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| Outputs |
|---|
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.3% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) | |
| cost-diff | 0 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) | |
| cost-diff | 0 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) | |
| cost-diff | 64 | (-.f32 (*.f32 x x) #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 33 |
| 0 | 12 | 33 |
| 1 | 21 | 33 |
| 2 | 25 | 33 |
| 3 | 40 | 33 |
| 4 | 71 | 33 |
| 5 | 132 | 33 |
| 6 | 298 | 33 |
| 7 | 578 | 33 |
| 8 | 2337 | 33 |
| 9 | 3439 | 33 |
| 10 | 4718 | 33 |
| 11 | 5410 | 33 |
| 12 | 5718 | 33 |
| 13 | 5904 | 33 |
| 14 | 6006 | 33 |
| 15 | 6325 | 33 |
| 16 | 6819 | 33 |
| 17 | 7862 | 33 |
| 0 | 8072 | 29 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
x |
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
(-.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
| Outputs |
|---|
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
x |
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(-.f32 (*.f32 x x) #s(literal 1 binary32)) |
(fma.f32 x x #s(literal -1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) | |
| accuracy | 0.030886291389095776 | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | |
| accuracy | 0.12471124124740375 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) | |
| accuracy | 13.491610192861245 | (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
| 17.0ms | 256× | 0 | valid |
Compiled 68 to 16 computations (76.5% saved)
ival-log: 3.0ms (33.2% of total)ival-mult: 2.0ms (22.1% of total)ival-sqrt: 2.0ms (22.1% of total)ival-sub: 1.0ms (11.1% of total)ival-add: 1.0ms (11.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f32 (*.f32 x x) #s(literal 1 binary32)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
| Outputs |
|---|
-1 |
(- (pow x 2) 1) |
(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))))) |
(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)))))))) |
(+ (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)))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 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)))) |
(* 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))))) |
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))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 1/2 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)) |
(* -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)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) |
| 1.0ms | x | @ | -inf | ((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) |
| 1.0ms | x | @ | inf | ((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 519 |
| 1 | 411 | 493 |
| 2 | 1170 | 486 |
| 3 | 3366 | 448 |
| 0 | 8112 | 426 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (pow x 2) 1) |
(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))))) |
(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)))))))) |
(+ (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)))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 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)))) |
(* 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))))) |
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))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 1/2 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)) |
(* -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)))))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary32) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (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))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ x (sqrt -1)) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (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)))))) |
(fma.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) 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)))) |
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal -1/2 binary32) x)) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(+ (log -1/2) (log (/ -1 x))) |
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/2 binary32) x)) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 28 |
| 0 | 12 | 28 |
| 1 | 49 | 28 |
| 2 | 322 | 28 |
| 3 | 3638 | 28 |
| 0 | 8656 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 (*.f32 x x) #s(literal 1 binary32)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
| Outputs |
|---|
(expm1.f32 (*.f32 (log.f32 (*.f32 x x)) #s(literal 1 binary32))) |
(expm1.f32 (log.f32 (*.f32 x x))) |
(*.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (*.f32 x x))))) |
(*.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))))))) |
(*.f32 (exp.f32 (log1p.f32 x)) (exp.f32 (log.f32 (-.f32 x #s(literal 1 binary32))))) |
(*.f32 (exp.f32 (log.f32 (-.f32 x #s(literal 1 binary32)))) (exp.f32 (log1p.f32 x))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 8 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32)))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) |
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) |
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) |
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) |
(*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 x #s(literal 1 binary32))) |
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x))))) |
(*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) |
(sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) (exp.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))))))) |
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (log1p.f32 (*.f32 x x)))) |
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (log.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x)))))) |
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (fma.f32 x x (+.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (+.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32)))) |
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 x x (+.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x)) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -2 binary32))) (+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -2 binary32))) (+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 12 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -3 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -2 binary32)) (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -2 binary32)) (*.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))) |
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (+.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x x #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (*.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) |
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(*.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 9/2 binary32)) (pow.f32 x #s(literal 9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (pow.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #s(literal 3 binary32)))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32)) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32))) (fma.f32 x (/.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32))) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))) |
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)))) (neg.f32 (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 9/2 binary32)) (pow.f32 x #s(literal 9 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (pow.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #s(literal 3 binary32))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) (pow.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32))))) |
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 9/2 binary32)) (pow.f32 x #s(literal 9 binary32))) (*.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (pow.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #s(literal 3 binary32))))) |
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))) |
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(-.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)))) (fma.f32 x x (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1/2 binary32)) x) |
(fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x) |
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x) |
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(fma.f32 #s(literal 1 binary32) x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(fma.f32 x (/.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(fma.f32 x #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(pow.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal -1 binary32)) |
(+.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) |
(neg.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(neg.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1/2 binary32))) |
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 (exp.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(/.f32 (exp.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))))))) |
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x))))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 4 binary32)) #s(literal 1/8 binary32)) |
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) |
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)) |
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(exp.f32 (-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/4 binary32))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
Compiled 8 208 to 1 577 computations (80.8% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 352 | 5 | 357 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 352 | 6 | 358 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 29.4% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ✓ | 54.3% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ▶ | 98.4% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
| ▶ | 0.6% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) |
| ▶ | 97.3% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
| ▶ | 97.0% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
Compiled 143 to 109 computations (23.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f32 #s(literal 2 binary32)) | |
| cost-diff | 0 | (log.f32 x) | |
| cost-diff | 0 | (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) | |
| cost-diff | 0 | (fma.f32 x x #s(literal -1 binary32)) | |
| cost-diff | 0 | (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) | |
| cost-diff | 0 | (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) | |
| cost-diff | 0 | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) | |
| cost-diff | 0 | (/.f32 #s(literal -1/2 binary32) x) | |
| cost-diff | 0 | (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) | |
| cost-diff | 0 | #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) | |
| cost-diff | 0 | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) | |
| cost-diff | 0 | (*.f32 #s(literal 2 binary32) x) | |
| cost-diff | 0 | #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) | |
| cost-diff | 0 | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) | |
| cost-diff | 0 | (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) | |
| cost-diff | 0 | #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) | |
| cost-diff | 0 | (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) | |
| cost-diff | 0 | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 176 |
| 0 | 47 | 168 |
| 1 | 64 | 168 |
| 2 | 74 | 168 |
| 3 | 103 | 168 |
| 4 | 157 | 168 |
| 5 | 298 | 168 |
| 6 | 613 | 168 |
| 7 | 1191 | 168 |
| 8 | 2829 | 168 |
| 9 | 4525 | 168 |
| 10 | 5592 | 168 |
| 11 | 6036 | 168 |
| 12 | 6144 | 168 |
| 13 | 6223 | 168 |
| 14 | 6299 | 168 |
| 15 | 7021 | 168 |
| 16 | 7677 | 168 |
| 0 | 8109 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) |
x |
#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(/.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) |
#s(literal 2 binary32) |
x |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(fma.f32 x x #s(literal -1 binary32)) |
x |
#s(literal -1 binary32) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(log.f32 x) |
x |
(log.f32 #s(literal 2 binary32)) |
#s(literal 2 binary32) |
| Outputs |
|---|
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(log.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) |
(+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) |
x |
#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(/.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) |
#s(literal 2 binary32) |
x |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(fma.f32 x x #s(literal -1 binary32)) |
x |
#s(literal -1 binary32) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(log.f32 x) |
x |
(log.f32 #s(literal 2 binary32)) |
#s(literal 2 binary32) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (log.f32 x) | |
| accuracy | 0.0 | (log.f32 #s(literal 2 binary32)) | |
| accuracy | 0.2265625 | (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) | |
| accuracy | 0.7448429531917741 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) | |
| accuracy | 0.0078125 | (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) | |
| accuracy | 0.12471124124740375 | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) | |
| accuracy | 13.491610192861245 | (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) | |
| accuracy | 31.445147782734857 | (fma.f32 x x #s(literal -1 binary32)) | |
| accuracy | 0.0 | (/.f32 #s(literal -1/2 binary32) x) | |
| accuracy | 0.12471124124740375 | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) | |
| accuracy | 0.4098696994971875 | #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) | |
| accuracy | 30.089259714722207 | (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) | |
| accuracy | 0.0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0.12471124124740375 | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) | |
| accuracy | 0.8622014546430584 | #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) | |
| accuracy | 0.00390625 | (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) | |
| accuracy | 0.0078125 | (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) | |
| accuracy | 0.12471124124740375 | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) | |
| accuracy | 0.4532780588696481 | #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
| 103.0ms | 256× | 0 | valid |
Compiled 313 to 56 computations (82.1% saved)
ival-mult: 46.0ms (49.9% of total)ival-sub: 24.0ms (26% of total)ival-log: 9.0ms (9.8% of total)ival-add: 5.0ms (5.4% of total)ival-div: 4.0ms (4.3% of total)ival-sqrt: 3.0ms (3.3% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) |
#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) |
(/.f32 #s(literal -1/2 binary32) x) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(fma.f32 x x #s(literal -1 binary32)) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(log.f32 x) |
(log.f32 #s(literal 2 binary32)) |
| Outputs |
|---|
(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))))) |
(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)))))))) |
(+ (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)))))) |
(/ -1/2 x) |
(/ (- (pow x 2) 1/2) x) |
(* 2 x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
-1 |
(- (pow x 2) 1) |
(+ (log 2) (log x)) |
(log x) |
(+ (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)))) |
(* 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))))) |
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))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 (log (/ 1 x))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 1/2 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)) |
(* -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 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | x | @ | 0 | ((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2)) |
| 21.0ms | x | @ | -inf | ((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2)) |
| 14.0ms | x | @ | inf | ((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 578 |
| 1 | 456 | 552 |
| 2 | 1272 | 529 |
| 3 | 3635 | 502 |
| 0 | 8298 | 478 |
| 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))))) |
(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)))))))) |
(+ (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)))))) |
(/ -1/2 x) |
(/ (- (pow x 2) 1/2) x) |
(* 2 x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
-1 |
(- (pow x 2) 1) |
(+ (log 2) (log x)) |
(log x) |
(+ (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)))) |
(* 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))))) |
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))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 (log (/ 1 x))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 1/2 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)) |
(* -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 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
| Outputs |
|---|
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (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))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ x (sqrt -1)) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (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)))))) |
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/16 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))) |
(/ -1/2 x) |
(/.f32 #s(literal -1/2 binary32) x) |
(/ (- (pow x 2) 1/2) x) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) |
-1 |
#s(literal -1 binary32) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(+ (log 2) (log x)) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(log x) |
(log.f32 x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) 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)))) |
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal -1/2 binary32) x)) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (log -1/2) (log (/ -1 x))) |
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))) x) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 2 binary32)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 162 |
| 0 | 47 | 152 |
| 1 | 173 | 152 |
| 2 | 1186 | 152 |
| 0 | 8433 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) |
#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) |
(/.f32 #s(literal -1/2 binary32) x) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(fma.f32 x x #s(literal -1 binary32)) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(log.f32 x) |
(log.f32 #s(literal 2 binary32)) |
| Outputs |
|---|
(log.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)) |
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #s(literal 3 binary32))) (fma.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (fma.f32 (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (*.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x))) #s(literal 3 binary32))) (fma.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x))) (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x))) (*.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x))))))) |
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (*.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))) |
(-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x))))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x)))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)))) |
(+.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (neg.f32 (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))))) |
(+.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))))) |
(+.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x))))) |
(+.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x))))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)))) |
(*.f32 (-.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))) |
(*.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))))) |
(*.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x) (*.f32 x x))))) |
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(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) |
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)) |
(fabs.f32 (fma.f32 x x #s(literal -1 binary32))) |
(+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))) |
(+.f32 #s(literal -1 binary32) (*.f32 x x)) |
(+.f32 (*.f32 x x) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal 2 binary32) x))) |
(log.f32 (*.f32 #s(literal 2 binary32) x)) |
(*.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 2 binary32) x)))) |
(*.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (*.f32 x #s(literal 1/2 binary32)))))) |
(*.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))) |
(*.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 x #s(literal 1/2 binary32))))) |
(*.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))))) |
(*.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))) |
(*.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (fma.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (neg.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (log.f32 (*.f32 x #s(literal 1/2 binary32)))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (log.f32 (*.f32 x #s(literal 1/2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (*.f32 (log.f32 (*.f32 x #s(literal 1/2 binary32))) (log.f32 (*.f32 x #s(literal 1/2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (log.f32 (/.f32 #s(literal 2 binary32) x))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (neg.f32 (log.f32 (*.f32 x #s(literal 1/2 binary32))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) |
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)) (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x)))) |
(-.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x))) (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)))) |
(-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1/2 binary32))) |
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) |
(fma.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (neg.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))) #s(literal -1 binary32)) |
(+.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))) (neg.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 x #s(literal 1/2 binary32)))))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(log.f32 x) |
(log.f32 #s(literal 2 binary32)) |
Compiled 12 144 to 1 923 computations (84.2% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 460 | 2 | 462 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 462 | 6 | 468 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 28.5% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ▶ | 23.0% | (log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x)) |
| ✓ | 54.3% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ✓ | 98.4% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
| ✓ | 97.3% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
| ▶ | 97.6% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
Compiled 77 to 59 computations (23.4% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x) | |
| cost-diff | 0 | (log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x)) | |
| cost-diff | 64 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))) | |
| cost-diff | 160 | (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1/2 binary32) x) | |
| cost-diff | 0 | (log.f32 (/.f32 #s(literal 1/2 binary32) x)) | |
| cost-diff | 0 | (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 116 |
| 0 | 35 | 116 |
| 1 | 56 | 108 |
| 2 | 80 | 108 |
| 3 | 134 | 108 |
| 4 | 224 | 108 |
| 5 | 388 | 108 |
| 6 | 852 | 108 |
| 7 | 1407 | 108 |
| 8 | 2757 | 108 |
| 9 | 3979 | 108 |
| 10 | 4990 | 108 |
| 11 | 5610 | 108 |
| 12 | 5835 | 108 |
| 13 | 5932 | 108 |
| 14 | 6017 | 108 |
| 15 | 6755 | 108 |
| 16 | 7415 | 108 |
| 17 | 7751 | 108 |
| 0 | 8023 | 102 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(log.f32 (/.f32 #s(literal 1/2 binary32) x)) |
(/.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
x |
(log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x)) |
(+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x) |
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
x |
#s(literal 4 binary32) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))) |
(-.f32 #s(literal -1 binary32) (*.f32 x x)) |
#s(literal -1 binary32) |
(*.f32 x x) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(log.f32 (/.f32 #s(literal 1/2 binary32) x)) |
(/.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
x |
(log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x)) |
(log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) x)) |
(+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x) |
(+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) x) |
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) |
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
x |
#s(literal 4 binary32) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))) |
(/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) |
(-.f32 #s(literal -1 binary32) (*.f32 x x)) |
#s(literal -1 binary32) |
(*.f32 x x) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12471124124740375 | (log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x)) | |
| accuracy | 0.6748407804493041 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))) | |
| accuracy | 13.491610192861245 | (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) | |
| accuracy | 17.822324497621892 | (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) | |
| accuracy | 0.0 | (/.f32 #s(literal 1/2 binary32) x) | |
| accuracy | 0.0 | (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) | |
| accuracy | 0.0234375 | (log.f32 (/.f32 #s(literal 1/2 binary32) x)) | |
| accuracy | 0.7448429531917741 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
| 338.0ms | 256× | 0 | valid |
Compiled 228 to 47 computations (79.4% saved)
ival-sqrt: 264.0ms (80.3% of total)ival-neg: 40.0ms (12.2% of total)ival-log: 7.0ms (2.1% of total)ival-div: 4.0ms (1.2% of total)ival-sub: 4.0ms (1.2% of total)ival-pow: 4.0ms (1.2% of total)ival-mult: 3.0ms (0.9% of total)ival-add: 2.0ms (0.6% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(log.f32 (/.f32 #s(literal 1/2 binary32) x)) |
(/.f32 #s(literal 1/2 binary32) x) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))) |
(log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x)) |
(+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x) |
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) |
| Outputs |
|---|
(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))))) |
(* -1 (+ (log 1/2) (* -1 (log x)))) |
(+ (log 1/2) (* -1 (log x))) |
(/ 1/2 x) |
-1 |
(- (pow x 2) 1) |
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1) |
(+ (log (sqrt -1)) (* x (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* x (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/6 (* x (+ (* 3 (/ 1 (sqrt -1))) (* 2 (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))))) |
(+ (sqrt -1) (* -1/2 (* (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* (pow x 2) (+ (* -1/8 (sqrt -1)) (* -1/16 (* (pow x 2) (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)))) |
(* -1 (+ (log 1/2) (log (/ 1 x)))) |
(+ (log 1/2) (log (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 (pow x 2)) 1) (pow x 2)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x)))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (+ 1 (pow (sqrt -1) 2))))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))) |
(* x (+ 1 (pow (sqrt -1) 2))) |
(* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(* x (- (+ 1 (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(* x (pow (sqrt -1) 2)) |
(* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) |
(* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 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))))))) |
(* -1 (+ (log -1/2) (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | x | @ | 0 | ((log (+ x (sqrt (- (* x x) 1)))) (neg (log (/ 1/2 x))) (log (/ 1/2 x)) (/ 1/2 x) (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x)))) (/ 1 (- -1 (* x x))) (log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x)))))) |
| 17.0ms | x | @ | -inf | ((log (+ x (sqrt (- (* x x) 1)))) (neg (log (/ 1/2 x))) (log (/ 1/2 x)) (/ 1/2 x) (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x)))) (/ 1 (- -1 (* x x))) (log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x)))))) |
| 12.0ms | x | @ | inf | ((log (+ x (sqrt (- (* x x) 1)))) (neg (log (/ 1/2 x))) (log (/ 1/2 x)) (/ 1/2 x) (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x)))) (/ 1 (- -1 (* x x))) (log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 278 | 1204 |
| 1 | 803 | 792 |
| 2 | 2670 | 749 |
| 3 | 6611 | 742 |
| 0 | 8023 | 719 |
| 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))))) |
(* -1 (+ (log 1/2) (* -1 (log x)))) |
(+ (log 1/2) (* -1 (log x))) |
(/ 1/2 x) |
-1 |
(- (pow x 2) 1) |
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1) |
(+ (log (sqrt -1)) (* x (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* x (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/6 (* x (+ (* 3 (/ 1 (sqrt -1))) (* 2 (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))))) |
(+ (sqrt -1) (* -1/2 (* (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* (pow x 2) (+ (* -1/8 (sqrt -1)) (* -1/16 (* (pow x 2) (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)))) |
(* -1 (+ (log 1/2) (log (/ 1 x)))) |
(+ (log 1/2) (log (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 (pow x 2)) 1) (pow x 2)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x)))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (+ 1 (pow (sqrt -1) 2))))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))) |
(* x (+ 1 (pow (sqrt -1) 2))) |
(* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(* x (- (+ 1 (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(* x (pow (sqrt -1) 2)) |
(* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) |
(* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 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))))))) |
(* -1 (+ (log -1/2) (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))) |
(+ (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))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))) |
(* -1 (+ (log 1/2) (* -1 (log x)))) |
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) |
(+ (log 1/2) (* -1 (log x))) |
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
-1 |
#s(literal -1 binary32) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1) |
(-.f32 (fma.f32 x x #s(literal -1 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1) |
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (* x (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1))))) |
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (sqrt -1)) (* x (+ (* x (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/6 (* x (+ (* 3 (/ 1 (sqrt -1))) (* 2 (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (sqrt -1))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) x) x) (+.f32 (/.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 3 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ x (sqrt -1)) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x) |
(+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)) x) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))))) |
(fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* -1/2 (* (pow x 2) (sqrt -1)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))) |
(fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* (pow x 2) (+ (* -1/8 (sqrt -1)) (* -1/16 (* (pow x 2) (sqrt -1)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (fma.f32 #s(literal -1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (sqrt.f32 #s(literal -1 binary32))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) 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)))) |
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(* -1 (+ (log 1/2) (log (/ 1 x)))) |
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) |
(+ (log 1/2) (log (/ 1 x))) |
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) x x) x) |
(/ -1 (pow x 2)) |
(/.f32 (/.f32 #s(literal -1 binary32) x) x) |
(/ (- (/ 1 (pow x 2)) 1) (pow x 2)) |
(/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) x) x)) (*.f32 x x)) |
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2)) |
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x) x)) (*.f32 x x)) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 #s(literal 0 binary32)) (log.f32 x)) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) (+.f32 (log.f32 #s(literal 0 binary32)) (log.f32 x))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) (/.f32 (*.f32 (/.f32 #s(literal -3 binary32) #s(literal 0 binary32)) #s(literal -1/12 binary32)) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (log.f32 #s(literal 0 binary32))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (+ 1 (pow (sqrt -1) 2))))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))) |
(fma.f32 (fma.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) #s(literal 90 binary32) (/.f32 #s(literal -30 binary32) #s(literal 0 binary32))) (/.f32 #s(literal 1/720 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (+.f32 (+.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) (/.f32 (*.f32 (/.f32 #s(literal -3 binary32) #s(literal 0 binary32)) #s(literal -1/12 binary32)) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (log.f32 #s(literal 0 binary32)))) |
(* x (+ 1 (pow (sqrt -1) 2))) |
#s(literal 0 binary32) |
(* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* x (- (+ 1 (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* x (pow (sqrt -1) 2)) |
(neg.f32 x) |
(* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) #s(literal 1 binary32)) x) |
(* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(*.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) #s(literal 1 binary32)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(*.f32 (-.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(+ (log -1/2) (log (/ -1 x))) |
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f32 (+.f32 (-.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+.f32 (+.f32 (+.f32 (-.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(* -1 (+ (log -1/2) (log (/ -1 x)))) |
(-.f32 (neg.f32 (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+.f32 (-.f32 (-.f32 (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(+.f32 (-.f32 (+.f32 (-.f32 (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(*.f32 #s(literal 2 binary32) x) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(*.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x) |
(* -1 (* x (pow (sqrt -1) 2))) |
x |
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(fma.f32 (/.f32 x (*.f32 x x)) #s(literal -1/2 binary32) x) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(*.f32 (-.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 94 |
| 0 | 35 | 86 |
| 1 | 143 | 60 |
| 2 | 1008 | 60 |
| 0 | 8720 | 54 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(log.f32 (/.f32 #s(literal 1/2 binary32) x)) |
(/.f32 #s(literal 1/2 binary32) x) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))) |
(log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x)) |
(+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x) |
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal 2 binary32) x))) |
(log.f32 (*.f32 #s(literal 2 binary32) x)) |
(*.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
(*.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal -1 binary32)) |
(/.f32 (-.f32 (*.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 #s(literal 1/2 binary32)))) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (-.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) (log.f32 x))) |
(/.f32 (+.f32 (pow.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 #s(literal 1/2 binary32))) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) (log.f32 x))))) |
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x)))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (log.f32 (*.f32 #s(literal 1/2 binary32) x))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (*.f32 (log.f32 x) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)))) (log.f32 (*.f32 #s(literal 2 binary32) x))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (neg.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) x)))) |
(/.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (neg.f32 (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (*.f32 (log.f32 x) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))))) |
(/.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal 0 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal 0 binary32)) (neg.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal 0 binary32))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1/2 binary32) x))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (neg.f32 (log.f32 x))) |
(-.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 x))) |
(-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1/2 binary32))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) |
(fma.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal -1 binary32) (*.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32))) |
(fma.f32 #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x)))) |
(+.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (neg.f32 x))) |
(+.f32 (*.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal -1 binary32)) (*.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32))) |
(+.f32 (*.f32 #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32))) (*.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x)))) |
(+.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (neg.f32 x))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(+.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) (neg.f32 (neg.f32 (log.f32 x)))) |
(+.f32 (neg.f32 (log.f32 #s(literal 1/2 binary32))) (log.f32 x)) |
(+.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(log.f32 (/.f32 #s(literal 1/2 binary32) x)) |
(*.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) x)))) |
(*.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (*.f32 (log.f32 x) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))))) |
(*.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))) |
(*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(/.f32 (-.f32 (*.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 #s(literal -1/2 binary32))) (*.f32 (log.f32 (neg.f32 x)) (log.f32 (neg.f32 x)))) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))) |
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (neg.f32 (log.f32 x)) (neg.f32 (log.f32 x)))) (-.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 x)))) |
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (neg.f32 x)) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 #s(literal -1/2 binary32)) (fma.f32 (log.f32 (neg.f32 x)) (log.f32 (neg.f32 x)) (*.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))))) |
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x)))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (log.f32 x)) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (*.f32 (neg.f32 (log.f32 x)) (neg.f32 (log.f32 x))) (*.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 x)))))) |
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(fma.f32 (sqrt.f32 (sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))) (sqrt.f32 (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/2 binary32))) x) |
(fma.f32 (sqrt.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) (sqrt.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))))) x) |
(fma.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) |
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal 1/2 binary32)) x) |
(fma.f32 (pow.f32 (sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)) x) |
(fma.f32 (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x) |
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 1/2 binary32)) x) |
(fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x) |
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x) |
(fma.f32 (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x) |
(fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (neg.f32 (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(fma.f32 #s(literal -1 binary32) (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
(fma.f32 #s(literal 1 binary32) x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(fma.f32 x #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal -1 binary32)) |
(+.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(+.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (neg.f32 (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(neg.f32 (/.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) |
(neg.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(neg.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal -1 binary32) (*.f32 x x))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(neg.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32))))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))) (sqrt.f32 (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/2 binary32)))) |
(*.f32 (sqrt.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) (sqrt.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 1/2 binary32))) |
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) |
(*.f32 (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/2 binary32))) |
(*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x))))) |
(/.f32 (sqrt.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) |
(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) (sqrt.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32))))) (sqrt.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) |
(/.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32))))) (sqrt.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (fma.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32) #s(literal 1 binary32))) (sqrt.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 8 binary32)))) (sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32))))) (sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32))) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32))) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32)))) (sqrt.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) |
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 8 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32)))) (sqrt.f32 (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) |
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 12 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) (*.f32 x x))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) |
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)) |
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
Compiled 25 405 to 4 020 computations (84.2% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 883 | 2 | 885 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 1 | 3 | 4 |
| Total | 884 | 7 | 891 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 28.8% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ✓ | 23.0% | (log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x)) |
| ▶ | 97.3% | (log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) |
| ✓ | 54.3% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ✓ | 98.4% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
| ▶ | 1.3% | (log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) |
| ✓ | 97.6% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
Compiled 102 to 78 computations (23.5% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) | |
| cost-diff | 0 | (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) | |
| cost-diff | 0 | (log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) | |
| cost-diff | 0 | #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)) | |
| cost-diff | 0 | (log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 92 |
| 0 | 21 | 92 |
| 1 | 34 | 82 |
| 2 | 52 | 82 |
| 3 | 89 | 82 |
| 4 | 156 | 82 |
| 5 | 254 | 82 |
| 6 | 481 | 82 |
| 7 | 648 | 82 |
| 8 | 723 | 82 |
| 9 | 747 | 82 |
| 10 | 801 | 82 |
| 11 | 837 | 82 |
| 12 | 849 | 82 |
| 0 | 849 | 77 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) |
#s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) |
(+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) |
#s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) |
x |
| Outputs |
|---|
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) |
#s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) |
(+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) |
#s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) |
x |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) | |
| accuracy | 0.12471124124740375 | (log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) | |
| accuracy | 0.9411173957079549 | #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) | |
| accuracy | 0.12471124124740375 | (log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) | |
| accuracy | 30.562568520847783 | #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)) |
| 114.0ms | 256× | 0 | valid |
Compiled 176 to 34 computations (80.7% saved)
ival-log: 93.0ms (86.7% of total)ival-mult: 3.0ms (2.8% of total)ival-pow: 3.0ms (2.8% of total)ival-div: 2.0ms (1.9% of total)ival-sub: 2.0ms (1.9% of total)ival-sqrt: 2.0ms (1.9% of total)ival-add: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) |
#s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)) |
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) |
(+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) |
#s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) |
| Outputs |
|---|
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* x (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/6 (* x (+ (* 3 (/ 1 (sqrt -1))) (* 2 (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))))) |
(+ (sqrt -1) (* -1/2 (* (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* (pow x 2) (+ (* -1/8 (sqrt -1)) (* -1/16 (* (pow x 2) (sqrt -1)))))))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x)))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (+ 1 (pow (sqrt -1) 2))))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))) |
(* x (+ 1 (pow (sqrt -1) 2))) |
(* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(* x (- (+ 1 (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(* x (pow (sqrt -1) 2)) |
(* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) |
(* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x)))))) |
| 1.0ms | x | @ | -inf | ((log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x)))))) |
| 0.0ms | x | @ | 0 | ((log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (log (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 879 |
| 1 | 579 | 486 |
| 2 | 1901 | 450 |
| 3 | 6103 | 439 |
| 0 | 8294 | 419 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* x (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/6 (* x (+ (* 3 (/ 1 (sqrt -1))) (* 2 (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))))) |
(+ (sqrt -1) (* -1/2 (* (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* (pow x 2) (+ (* -1/8 (sqrt -1)) (* -1/16 (* (pow x 2) (sqrt -1)))))))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x)))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (+ 1 (pow (sqrt -1) 2))))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))) |
(* x (+ 1 (pow (sqrt -1) 2))) |
(* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(* x (- (+ 1 (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(* x (pow (sqrt -1) 2)) |
(* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) |
(* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(-.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) x)) |
(+ (log (sqrt -1)) (* x (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1))))) |
(-.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) x)) |
(+ (log (sqrt -1)) (* x (+ (* x (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/6 (* x (+ (* 3 (/ 1 (sqrt -1))) (* 2 (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (sqrt -1))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) x))) x (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ x (sqrt -1)) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x) |
(+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)) x) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))))) |
(fma.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal -1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* -1/2 (* (pow x 2) (sqrt -1)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))) |
(fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal -1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* (pow x 2) (+ (* -1/8 (sqrt -1)) (* -1/16 (* (pow x 2) (sqrt -1)))))))) |
(fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal -1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 0 binary32))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 0 binary32)))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) (/.f32 (*.f32 (/.f32 #s(literal -3 binary32) #s(literal 0 binary32)) #s(literal -1/12 binary32)) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (log.f32 #s(literal 0 binary32))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (+ 1 (pow (sqrt -1) 2))))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))) |
(fma.f32 (fma.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) #s(literal 90 binary32) (/.f32 #s(literal -30 binary32) #s(literal 0 binary32))) (/.f32 #s(literal 1/720 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (+.f32 (+.f32 (/.f32 #s(literal -2 binary32) #s(literal 0 binary32)) (/.f32 (*.f32 (/.f32 #s(literal -3 binary32) #s(literal 0 binary32)) #s(literal -1/12 binary32)) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (log.f32 #s(literal 0 binary32)))) |
(* x (+ 1 (pow (sqrt -1) 2))) |
#s(literal 0 binary32) |
(* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x)) |
(* x (- (+ 1 (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) x))) |
(* x (pow (sqrt -1) 2)) |
(neg.f32 x) |
(* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x) (neg.f32 x)) |
(* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(-.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)) |
(* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(*.f32 (-.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(-.f32 (+.f32 (+.f32 (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -2 binary32)))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(*.f32 #s(literal 2 binary32) x) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) x)) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(-.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32)) (*.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(*.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) x) |
(* -1 (* x (pow (sqrt -1) 2))) |
x |
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(-.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)) (*.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 90 |
| 0 | 21 | 80 |
| 1 | 101 | 50 |
| 2 | 715 | 50 |
| 0 | 8608 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) |
#s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)) |
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) |
(+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) |
#s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) |
| Outputs |
|---|
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) |
#s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32)) |
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) |
(/.f32 (-.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) (log.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) (*.f32 (log.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (log.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) (+.f32 (log.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) (log.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) |
(/.f32 (-.f32 (*.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32))))) (*.f32 (log.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))) (log.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))))) (+.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) #s(literal 3 binary32))) (fma.f32 (log.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) (log.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) (fma.f32 (log.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (log.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (*.f32 (log.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) (log.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))) #s(literal 3 binary32))) (fma.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))) (fma.f32 (log.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))) (log.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))) (*.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))))))) |
(-.f32 (log.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)))) (log.f32 (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)))) |
(-.f32 (log.f32 (*.f32 (neg.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) (log.f32 (neg.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))))) |
(-.f32 (log.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) (log.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (*.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) |
(+.f32 (log.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) (neg.f32 (log.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) |
(+.f32 (log.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) |
(+.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))) (neg.f32 (log.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))))) |
(+.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) |
(*.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)))) |
(*.f32 (*.f32 (neg.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) |
(*.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))))) |
(*.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) |
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (*.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))))) |
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)))))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) |
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (/.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) (*.f32 (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) (+.f32 (/.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (/.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (fma.f32 (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (*.f32 (/.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))))) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)))) (neg.f32 (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) (neg.f32 (neg.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x x)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) |
(/.f32 (*.f32 (-.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 4 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (*.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) #s(literal 2 binary32)))) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) |
(/.f32 (*.f32 (-.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)))))) |
(/.f32 (*.f32 (+.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 9 binary32)) (pow.f32 x #s(literal 9 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (*.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (*.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (*.f32 x x))) (*.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) |
(/.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))) (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))) |
(/.f32 (*.f32 (neg.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (neg.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (*.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)))))) |
(/.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32))) (fma.f32 x x (*.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x (*.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))) (/.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)))) |
(-.f32 (/.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) |
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) |
(fma.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (neg.f32 (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) #s(literal -1 binary32)) |
(+.f32 (/.f32 (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (neg.f32 (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) |
(+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) |
(+.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)) |
(neg.f32 (/.f32 (*.f32 (neg.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x))) |
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32)))) (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x)))))) |
(neg.f32 (/.f32 (*.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x) (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) (neg.f32 (-.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)))) |
(neg.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 3 binary32))) (neg.f32 (fma.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) (*.f32 x (-.f32 x #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x))))))) |
#s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) |
Compiled 5 552 to 408 computations (92.7% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 93 | 0 | 93 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 5 | 5 |
| Total | 93 | 7 | 100 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 29.1% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ✓ | 23.0% | (log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x)) |
| ✓ | 97.3% | (log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) |
| ✓ | 54.3% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ✓ | 98.4% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
| ✓ | 1.3% | (log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) |
| ✓ | 97.6% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
Compiled 248 to 142 computations (42.7% saved)
| Inputs |
|---|
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) |
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
(log.f32 (+.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) x)) |
| Outputs |
|---|
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
3 calls:
| 3.0ms | x |
| 3.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 3.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 98.4% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) |
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
3 calls:
| 2.0ms | x |
| 2.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 2.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | x |
| 97.6% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 97.6% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) |
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
| Outputs |
|---|
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) |
3 calls:
| 3.0ms | x |
| 2.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 2.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | x |
| 97.3% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 97.3% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) |
| Outputs |
|---|
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) |
3 calls:
| 1.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 1.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.3% | 1 | x |
| 1.3% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 1.3% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 68 |
| 1 | 54 | 64 |
| 2 | 88 | 64 |
| 3 | 169 | 64 |
| 4 | 287 | 64 |
| 5 | 552 | 64 |
| 6 | 1244 | 64 |
| 7 | 2387 | 64 |
| 8 | 3712 | 64 |
| 9 | 5321 | 64 |
| 10 | 6666 | 64 |
| 11 | 7193 | 64 |
| 12 | 7484 | 64 |
| 13 | 7829 | 64 |
| 1× | node limit |
| Inputs |
|---|
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) |
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) |
| Outputs |
|---|
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 (+.f32 #s(approx (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) x)) |
(log.f32 #s(approx (+ (sqrt (* (- 1 (pow x 4)) (/ 1 (- -1 (* x x))))) x) #s(literal 0 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 519 |
| 1 | 411 | 493 |
| 2 | 1170 | 486 |
| 3 | 3366 | 448 |
| 0 | 8112 | 426 |
| 0 | 278 | 1204 |
| 1 | 803 | 792 |
| 2 | 2670 | 749 |
| 3 | 6611 | 742 |
| 0 | 8023 | 719 |
| 0 | 7 | 28 |
| 0 | 12 | 28 |
| 1 | 49 | 28 |
| 2 | 322 | 28 |
| 3 | 3638 | 28 |
| 0 | 8656 | 24 |
| 0 | 31 | 162 |
| 0 | 47 | 152 |
| 1 | 173 | 152 |
| 2 | 1186 | 152 |
| 0 | 8433 | 152 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 196 to 117 computations (40.3% saved)
Compiled 178 to 94 computations (47.2% saved)
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