Rust f32::acosh
Time bar (total: 5.2s)
| 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)
| 339.0ms | 8 256× | 0 | valid |
ival-acosh: 86.0ms (70.3% of total)ival->=: 27.0ms (22.1% of total)exact: 6.0ms (4.9% of total)ival-assert: 3.0ms (2.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 127 | 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 | 127 | 0 |
| ↳ | (*.f32 x x) | overflow | 127 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 127 | |
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 | 127 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 127 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 127 | 0 |
| - | 0 | 129 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 127 | 0 | 0 |
| - | 0 | 0 | 129 |
| number | freq |
|---|---|
| 0 | 129 |
| 1 | 126 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 512× | 0 | valid |
Compiled 145 to 49 computations (66.2% saved)
ival-log: 5.0ms (27.8% of total)ival-mult: 4.0ms (22.3% of total)ival-sqrt: 3.0ms (16.7% of total)ival-sub: 2.0ms (11.1% of total)ival-add: 2.0ms (11.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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 | 292 | 9 |
| 7 | 572 | 9 |
| 8 | 2045 | 9 |
| 9 | 3155 | 9 |
| 10 | 4433 | 9 |
| 11 | 5106 | 9 |
| 12 | 5408 | 9 |
| 13 | 5593 | 9 |
| 14 | 5695 | 9 |
| 15 | 6014 | 9 |
| 16 | 6560 | 9 |
| 17 | 7671 | 9 |
| 0 | 8091 | 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 |
|---|---|---|
| ▶ | 53.6% | (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 | 292 | 33 |
| 7 | 572 | 33 |
| 8 | 2045 | 33 |
| 9 | 3155 | 33 |
| 10 | 4433 | 33 |
| 11 | 5106 | 33 |
| 12 | 5408 | 33 |
| 13 | 5593 | 33 |
| 14 | 5695 | 33 |
| 15 | 6014 | 33 |
| 16 | 6560 | 33 |
| 17 | 7671 | 33 |
| 0 | 8091 | 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 | (*.f32 x x) | |
| accuracy | 0.03125 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) | |
| accuracy | 0.12471112475805797 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) | |
| accuracy | 13.738660655878853 | (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
| 14.0ms | 256× | 0 | valid |
Compiled 68 to 16 computations (76.5% saved)
ival-log: 2.0ms (23.3% of total)ival-mult: 2.0ms (23.3% of total)ival-sqrt: 2.0ms (23.3% of total)ival-sub: 1.0ms (11.6% of total)ival-add: 1.0ms (11.6% 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))) |
(*.f32 x x) |
| 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 | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (* x x)) |
| 2.0ms | x | @ | inf | ((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (* x x)) |
| 2.0ms | x | @ | -inf | ((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 519 |
| 1 | 411 | 493 |
| 2 | 1146 | 486 |
| 3 | 3331 | 448 |
| 4 | 7980 | 448 |
| 0 | 8533 | 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 #s(literal 1/2 binary32) x) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) |
(* -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 | 31 |
| 0 | 12 | 31 |
| 1 | 49 | 31 |
| 2 | 322 | 31 |
| 3 | 3626 | 31 |
| 0 | 8646 | 27 |
| 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))) |
(*.f32 x x) |
| 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 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 x)) |
(pow.f32 (*.f32 x x) #s(literal 1 binary32)) |
(pow.f32 x #s(literal 2 binary32)) |
(exp.f32 (*.f32 (log.f32 (*.f32 x x)) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (*.f32 x x))) |
Compiled 8 294 to 1 613 computations (80.6% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 358 | 7 | 365 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 358 | 8 | 366 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 28.6% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ▶ | 99.6% | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
| 17.5% | (log.f32 (+.f32 x (sqrt.f32 (/.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))))))))) | |
| ✓ | 53.6% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ▶ | 99.0% | (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)))) |
| ▶ | 97.5% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
| 97.1% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
Compiled 217 to 167 computations (23% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 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))))) | |
| 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 | (sqrt.f32 (-.f32 x #s(literal 1 binary32))) | |
| cost-diff | 0 | (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 0 | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) | |
| cost-diff | 64 | (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 198 |
| 0 | 53 | 191 |
| 1 | 73 | 191 |
| 2 | 88 | 191 |
| 3 | 128 | 191 |
| 4 | 190 | 191 |
| 5 | 405 | 191 |
| 6 | 778 | 191 |
| 7 | 2273 | 191 |
| 8 | 3749 | 191 |
| 9 | 5064 | 191 |
| 10 | 5690 | 191 |
| 11 | 5909 | 191 |
| 12 | 6039 | 191 |
| 13 | 6086 | 191 |
| 14 | 6544 | 191 |
| 15 | 7078 | 191 |
| 16 | 7301 | 191 |
| 17 | 7472 | 191 |
| 18 | 7984 | 191 |
| 0 | 8074 | 189 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) |
x |
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) |
(sqrt.f32 (-.f32 x #s(literal 1 binary32))) |
(-.f32 x #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) x)) |
(+.f32 #s(literal 1 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) |
#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 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 (+.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) |
| Outputs |
|---|
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)) |
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) |
(fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x) |
x |
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) |
(*.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) |
(sqrt.f32 (-.f32 x #s(literal 1 binary32))) |
(-.f32 x #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) x)) |
(sqrt.f32 (-.f32 x #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) x) |
(-.f32 x #s(literal -1 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 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 (+.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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) | |
| accuracy | 0.12471112475805797 | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) | |
| accuracy | 13.738660655878853 | (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) | |
| accuracy | 31.435338866331488 | (fma.f32 x x #s(literal -1 binary32)) | |
| accuracy | 0 | (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) | |
| accuracy | 0.03125 | (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) | |
| accuracy | 0.12471112475805797 | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) | |
| accuracy | 0.29767860548571196 | #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) | |
| accuracy | 0 | (/.f32 #s(literal -1/2 binary32) x) | |
| accuracy | 0.12471112475805797 | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) | |
| accuracy | 0.2554261156236838 | #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) | |
| accuracy | 29.997196155132627 | (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) | |
| accuracy | 0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0.12471112475805797 | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) | |
| accuracy | 0.8161213336051787 | #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) | |
| accuracy | 0.01171875 | (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) | |
| accuracy | 0.03125 | (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) | |
| accuracy | 0.12471112475805797 | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) | |
| accuracy | 0.48046875 | (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) |
| 55.0ms | 256× | 0 | valid |
Compiled 363 to 63 computations (82.6% saved)
ival-sqrt: 13.0ms (30.1% of total)ival-add: 12.0ms (27.8% of total)ival-log: 6.0ms (13.9% of total)ival-mult: 4.0ms (9.3% of total)ival-sub: 4.0ms (9.3% of total)ival-div: 3.0ms (6.9% of total)exact: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) |
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) |
(sqrt.f32 (-.f32 x #s(literal 1 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) |
(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 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 (+.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)) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) x)) |
| Outputs |
|---|
(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)))))))) |
(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) (* 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)))))) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(* 2 x) |
(/ -1/2 x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(/ (- (pow x 2) 1/2) x) |
-1 |
(- (pow x 2) 1) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 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))))) |
(+ (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 |
(* 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))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -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)))))))) |
(+ (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 (* 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))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (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))))))) |
(/ 1/2 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 (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | x | @ | 0 | ((+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (- x 1)) (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 (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (sqrt (+ 1 x))) |
| 5.0ms | x | @ | -inf | ((+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (- x 1)) (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 (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (sqrt (+ 1 x))) |
| 4.0ms | x | @ | inf | ((+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (- x 1)) (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 (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (sqrt (+ 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 1321 |
| 1 | 956 | 1096 |
| 2 | 3077 | 1063 |
| 0 | 8242 | 995 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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)))))))) |
(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) (* 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)))))) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(* 2 x) |
(/ -1/2 x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(/ (- (pow x 2) 1/2) x) |
-1 |
(- (pow x 2) 1) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 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))))) |
(+ (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 |
(* 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))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -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)))))))) |
(+ (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 (* 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))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (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))))))) |
(/ 1/2 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 (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
(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 (fma.f32 (*.f32 x #s(literal 1/8 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
(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 x (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 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (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 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 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 (fma.f32 (*.f32 x #s(literal 1/8 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x x) (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)))) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) x (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(/ -1/2 x) |
(/.f32 #s(literal -1/2 binary32) x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) |
(/ (- (pow x 2) 1/2) x) |
(-.f32 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)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* 1/2 x)) |
(fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f32 (fma.f32 #s(literal -1/8 binary32) x #s(literal 1/2 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) x #s(literal -1/8 binary32)) x #s(literal 1/2 binary32)) x #s(literal 1 binary32)) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) (*.f32 #s(literal 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 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 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))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal -1 binary32) x) #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 (/.f32 #s(literal -1/16 binary32) (*.f32 x x)) #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)) |
(sqrt x) |
(sqrt.f32 x) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) 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) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) x) |
(* -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 (fma.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal -1 binary32) (+.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))))) 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))))))) |
(fma.f32 (+.f32 #s(literal -15 binary32) (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) (/.f32 #s(literal 1/720 binary32) (pow.f32 x #s(literal 6 binary32))) (+.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)))) |
(* -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)))))) |
(-.f32 (fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) x) (*.f32 (/.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 (fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) x) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f32 x) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f32 (neg.f32 x) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal 1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (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 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32))) x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) x)) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) 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)))))) |
(neg.f32 (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 (fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) x))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal 1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) (neg.f32 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 178 |
| 0 | 53 | 177 |
| 1 | 197 | 159 |
| 2 | 1439 | 159 |
| 0 | 8260 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) |
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) |
(sqrt.f32 (-.f32 x #s(literal 1 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) |
(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 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 (+.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)) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) x)) |
| Outputs |
|---|
(*.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #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 x x)) (/.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))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 x x #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))) (/.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 (/.f32 (*.f32 x x) (-.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))) (fma.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.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 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 (-.f32 (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal 3 binary32))) (fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (fma.f32 (/.f32 (*.f32 x x) (-.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 (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 (neg.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)))) (neg.f32 (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))) |
(/.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 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))) |
(/.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 (*.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)))) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (-.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (*.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (*.f32 x x))) (*.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))) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (-.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 (+.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 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))) |
(/.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 (*.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 (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 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (-.f32 (fma.f32 x x (fma.f32 x x #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) (neg.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))))) |
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(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #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 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.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 #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 #s(literal 1 binary32) (/.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) |
(/.f32 #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 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) |
(-.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x)))))) |
(-.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x)))) (/.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 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 x #s(literal 6 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) |
(-.f32 (*.f32 x x) #s(literal 1 binary32)) |
(fma.f32 (exp.f32 (log.f32 x)) (exp.f32 (log.f32 x)) #s(literal -1 binary32)) |
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal -1 binary32)) |
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal -1 binary32)) |
(fma.f32 (+.f32 #s(literal 1 binary32) x) x (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) |
(fma.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) |
(fma.f32 (-.f32 x #s(literal 1 binary32)) x (*.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))) |
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)) (*.f32 x (-.f32 x #s(literal 1 binary32)))) |
(fma.f32 x (+.f32 #s(literal 1 binary32) x) (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) x))) |
(fma.f32 x (-.f32 x #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.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))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)) |
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) |
(fabs.f32 (fma.f32 x x #s(literal -1 binary32))) |
(+.f32 (*.f32 x (+.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) x))) |
(+.f32 (*.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 x (-.f32 x #s(literal 1 binary32)))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) |
(+.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) |
(+.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) x) (*.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))) |
(+.f32 (*.f32 x (-.f32 x #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))) |
(+.f32 #s(literal -1 binary32) (*.f32 x x)) |
(+.f32 (*.f32 x x) #s(literal -1 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 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 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)))) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))) |
(*.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32))) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) x)) |
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) x)))) |
(/.f32 (neg.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x)))) |
(/.f32 (sqrt.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (sqrt.f32 (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) x)))) |
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 x (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(pow.f32 (exp.f32 (log1p.f32 x)) #s(literal 1/2 binary32)) |
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)) #s(literal 1/4 binary32)) |
(pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (log1p.f32 x) #s(literal 1/2 binary32))) |
Compiled 15 353 to 2 779 computations (81.9% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 586 | 3 | 589 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 589 | 8 | 597 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 28.8% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ✓ | 99.6% | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
| ✓ | 53.6% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ▶ | 97.5% | (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
| ✓ | 99.0% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
| ▶ | 99.5% | (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (-.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)))) |
| ✓ | 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)))) |
| ▶ | 97.1% | #s(approx (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
Compiled 120 to 91 computations (24.2% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) | |
| cost-diff | 0 | (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) | |
| cost-diff | 0 | (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) | |
| cost-diff | 0 | #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (-.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))) | |
| cost-diff | 0 | (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (-.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)))) | |
| cost-diff | 64 | (-.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)) | |
| cost-diff | 160 | (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)) | |
| 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 1)) (sqrt (+ 1 x))))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 176 |
| 0 | 44 | 168 |
| 1 | 65 | 168 |
| 2 | 94 | 168 |
| 3 | 189 | 168 |
| 4 | 398 | 168 |
| 5 | 692 | 168 |
| 6 | 1154 | 168 |
| 7 | 1618 | 168 |
| 8 | 1738 | 168 |
| 9 | 1823 | 168 |
| 10 | 1897 | 168 |
| 11 | 1921 | 168 |
| 12 | 1925 | 168 |
| 0 | 1925 | 162 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+.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) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (-.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)))) |
#s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (-.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))) |
(-.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)) |
(*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)) |
(/.f32 #s(literal -1 binary32) x) |
#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) |
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) |
#s(literal -2 binary32) |
(/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) |
#s(literal -1/8 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) |
x |
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) |
| Outputs |
|---|
#s(approx (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+.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) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (-.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)))) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal -2 binary32)) x (/.f32 #s(literal -1/2 binary32) x)))) |
#s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (-.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))) |
#s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal -2 binary32)) x (/.f32 #s(literal -1/2 binary32) x))) |
(-.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)) |
(fma.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal -2 binary32)) x (/.f32 #s(literal -1/2 binary32) x)) |
(*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)) |
(/.f32 #s(literal -1/2 binary32) x) |
(/.f32 #s(literal -1 binary32) x) |
#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) |
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) |
#s(literal -2 binary32) |
(/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) |
#s(literal -1/8 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) |
(+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) |
(+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) |
x |
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) | |
| accuracy | 0.12471112475805797 | (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) | |
| accuracy | 0.9043120891548548 | #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) | |
| accuracy | 0.02734375 | (-.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)) | |
| accuracy | 0.052623731306218925 | #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (-.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))) | |
| accuracy | 0.12471112475805797 | (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (-.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)))) | |
| accuracy | 0.48531172293012387 | (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) | |
| accuracy | 0 | (log.f32 x) | |
| accuracy | 0 | (log.f32 #s(literal 2 binary32)) | |
| accuracy | 0.26953125 | (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) | |
| accuracy | 0.6803700390598669 | #s(approx (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
| 42.0ms | 256× | 0 | valid |
Compiled 310 to 58 computations (81.3% saved)
ival-mult: 8.0ms (25.2% of total)ival-log: 6.0ms (18.9% of total)ival-div: 4.0ms (12.6% of total)ival-sub: 4.0ms (12.6% of total)ival-add: 3.0ms (9.4% of total)ival-sqrt: 3.0ms (9.4% of total)ival-pow: 3.0ms (9.4% of total)exact: 1.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+.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)) |
(*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)) |
(-.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)) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (-.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)))) |
#s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (-.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))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) |
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) |
(/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 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))))) |
(+ (log 2) (log x)) |
(log x) |
(/ -1/2 x) |
(/ -1/8 (pow x 3)) |
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3)) |
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3)) |
(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)))))) |
(/ -1/8 (pow x 4)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 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 x))) |
(* 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 (- (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))))))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) |
(* -1 (* x (- (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 | |
|---|---|---|---|---|
| 54.0ms | x | @ | 0 | ((log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+ (log x) (log 2)) (log x) (log 2) (* (/ -1 x) 1/2) (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (/ -1/8 (pow x 4))) |
| 40.0ms | x | @ | inf | ((log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+ (log x) (log 2)) (log x) (log 2) (* (/ -1 x) 1/2) (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (/ -1/8 (pow x 4))) |
| 19.0ms | x | @ | -inf | ((log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+ (log x) (log 2)) (log x) (log 2) (* (/ -1 x) 1/2) (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (/ -1/8 (pow x 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 217 | 763 |
| 1 | 595 | 584 |
| 2 | 1859 | 578 |
| 3 | 6781 | 576 |
| 0 | 8057 | 555 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(+ (log 2) (log x)) |
(log x) |
(/ -1/2 x) |
(/ -1/8 (pow x 3)) |
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3)) |
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3)) |
(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)))))) |
(/ -1/8 (pow x 4)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 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 x))) |
(* 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 (- (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))))))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) |
(* -1 (* x (- (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))))) |
(+ (log 2) (log x)) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(log x) |
(log.f32 x) |
(/ -1/2 x) |
(/.f32 #s(literal -1/2 binary32) x) |
(/ -1/8 (pow x 3)) |
(/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32))) |
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3)) |
(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) |
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3)) |
(/.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) |
(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 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.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) (* 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 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x x) (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)))) |
(/ -1/8 (pow x 4)) |
(/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 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 x))) |
(log.f32 x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 x (*.f32 x x)) #s(literal -1/2 binary32) x) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(fma.f32 (/.f32 x x) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) 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 (/.f32 #s(literal -1/2 binary32) x) x) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x 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))))))) |
(fma.f32 (+.f32 #s(literal -15 binary32) (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) (/.f32 #s(literal 1/720 binary32) (pow.f32 x #s(literal 6 binary32))) (+.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 -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) |
(*.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)))) x) |
(* -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 #s(literal 1/2 binary32) (*.f32 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 #s(literal 1/2 binary32) (*.f32 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 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 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)))))) |
(fma.f32 (/.f32 x (*.f32 x x)) #s(literal -1/2 binary32) (fma.f32 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 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (pow.f32 x #s(literal 6 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 145 |
| 0 | 44 | 129 |
| 1 | 169 | 117 |
| 2 | 1210 | 117 |
| 0 | 8283 | 105 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+.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)) |
(*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)) |
(-.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)) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (-.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)))) |
#s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (-.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))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) |
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) |
(/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) |
| Outputs |
|---|
#s(approx (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (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 (*.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))))) (*.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 (-.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 (/.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))))) |
(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 (/.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)))))) |
(neg.f32 (/.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)))))) |
(log.f32 x) |
(+.f32 #s(literal 0 binary32) (log.f32 x)) |
(+.f32 (log.f32 x) #s(literal 0 binary32)) |
(log.f32 #s(literal 2 binary32)) |
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x)) |
(*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)) |
(*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) |
(/.f32 #s(literal -1/2 binary32) x) |
(/.f32 #s(literal 1/2 binary32) (neg.f32 x)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 x #s(literal -2 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal -2 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (*.f32 x #s(literal -2 binary32))) |
(pow.f32 (*.f32 x #s(literal -2 binary32)) #s(literal -1 binary32)) |
(neg.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) |
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))) |
(*.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (pow.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) #s(literal -2 binary32)) x) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) #s(literal -2 binary32)) x (/.f32 #s(literal -1/2 binary32) x))))) |
(*.f32 (neg.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) #s(literal -2 binary32)) x) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (*.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) #s(literal -2 binary32)) x) (fma.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) #s(literal -2 binary32)) x (/.f32 #s(literal -1/2 binary32) x))))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (pow.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) #s(literal -2 binary32)) x) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) #s(literal -2 binary32)) x (/.f32 #s(literal -1/2 binary32) x)))) |
(*.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) #s(literal -2 binary32)) x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (-.f32 (pow.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) #s(literal -2 binary32)) x) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal -1/8 binary32) #s(literal 2 binary32)) x)))))) |
(*.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) #s(literal -2 binary32)) x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (*.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) #s(literal -2 binary32)) x) (fma.f32 (fma.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32) #s(literal -2 binary32)) x (/.f32 #s(literal -1/2 binary32) x)))))) |
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(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) 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 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) #s(literal 3 binary32))) (fma.f32 (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (log.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) (log.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) (*.f32 (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))))))) |
(-.f32 (log.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) (log.f32 (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) |
(-.f32 (log.f32 (*.f32 (neg.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (log.f32 (neg.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))))) |
(-.f32 (log.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (log.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 (*.f32 x x) (*.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))) |
(+.f32 (log.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (neg.f32 (log.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) |
(+.f32 (log.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) |
(+.f32 (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (log.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))))) |
(+.f32 (log.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) 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 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))) |
(*.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) |
(*.f32 (*.f32 (neg.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) |
(*.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) 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 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))))) |
(*.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) |
(*.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 (*.f32 x x) (*.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))))) |
(*.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (*.f32 (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) (+.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (fma.f32 (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (*.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))))) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) (neg.f32 (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (neg.f32 (neg.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))))) |
(/.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (*.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)))) (*.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) |
(/.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) |
(/.f32 (*.f32 (neg.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (neg.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 (*.f32 x x) (*.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)))) |
(/.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(/.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 (*.f32 x x) (*.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))) |
(/.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 (*.f32 x x) (*.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) |
(-.f32 (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) (/.f32 (*.f32 x x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) |
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (neg.f32 (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) |
(fma.f32 (neg.f32 x) #s(literal -1 binary32) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) |
(fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) |
(fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) |
(fma.f32 x #s(literal 1 binary32) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) #s(literal -1 binary32)) |
(+.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (neg.f32 (/.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) |
(+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) |
(+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) |
(neg.f32 (/.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (neg.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) |
(neg.f32 (/.f32 (+.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))))) |
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) |
(*.f32 (pow.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -8 binary32)) #s(literal -1/2 binary32)) (pow.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -8 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal -2 binary32))) (pow.f32 x #s(literal -2 binary32))) |
(*.f32 (pow.f32 x #s(literal -2 binary32)) (pow.f32 (*.f32 (*.f32 x x) #s(literal -8 binary32)) #s(literal -1 binary32))) |
(*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal -1/8 binary32)) |
(*.f32 #s(literal 1/8 binary32) (neg.f32 (pow.f32 x #s(literal -4 binary32)))) |
(*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(*.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) |
(*.f32 #s(literal -1/8 binary32) (neg.f32 (neg.f32 (pow.f32 x #s(literal -4 binary32))))) |
(*.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal -4 binary32))) |
(*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal -2 binary32)))) (*.f32 (neg.f32 x) x)) |
(/.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal -2 binary32))) (*.f32 x x)) |
(/.f32 #s(literal 1/8 binary32) (neg.f32 (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) |
(/.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 8 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal -2 binary32))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 8 binary32)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -8 binary32))) |
(-.f32 #s(literal 0 binary32) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))) |
(pow.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -8 binary32)) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -8 binary32))) #s(literal -1 binary32))) |
(neg.f32 (*.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32)) #s(literal 1 binary32))) |
(neg.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))) |
Compiled 10 069 to 1 102 computations (89.1% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 235 | 3 | 238 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 1 | 4 | 5 |
| Total | 237 | 9 | 246 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.5% | (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))) |
| ▶ | 9.7% | (log.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
| ✓ | 28.4% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ✓ | 99.6% | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
| ✓ | 53.6% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ✓ | 97.5% | (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
| ✓ | 99.0% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
| ▶ | 99.5% | (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)))) |
| ✓ | 97.1% | #s(approx (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
Compiled 153 to 115 computations (24.8% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) | |
| cost-diff | 128 | (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))) | |
| cost-diff | 288 | (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) | |
| cost-diff | 0 | #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) | |
| cost-diff | 0 | (neg.f32 x) | |
| cost-diff | 0 | (log.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) | |
| cost-diff | 160 | (fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) | |
| cost-diff | 0 | #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)) | |
| cost-diff | 0 | #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x))) | |
| cost-diff | 0 | (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)))) | |
| cost-diff | 416 | (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 305 |
| 0 | 56 | 299 |
| 1 | 92 | 291 |
| 2 | 150 | 291 |
| 3 | 464 | 291 |
| 4 | 1277 | 283 |
| 5 | 2963 | 283 |
| 6 | 4412 | 283 |
| 7 | 6207 | 283 |
| 8 | 7513 | 283 |
| 0 | 8106 | 274 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)))) |
#s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x))) |
#s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x) |
(-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) |
#s(literal 2 binary32) |
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x) |
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) |
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1/8 binary32) (*.f32 x x)) |
#s(literal 1/8 binary32) |
(*.f32 x x) |
x |
#s(literal 1/2 binary32) |
(log.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) |
#s(literal -1 binary32) |
(neg.f32 x) |
x |
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))) |
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) |
#s(literal 1 binary32) |
(+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) |
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) |
x |
| Outputs |
|---|
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)))) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))))) |
#s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x))) |
#s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))) |
#s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)) |
#s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x) |
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) |
(-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) |
(-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x) x)) |
#s(literal 2 binary32) |
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x) |
(/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x) x) |
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) |
(/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x) |
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) |
(-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) |
(/.f32 #s(literal 1/8 binary32) (*.f32 x x)) |
#s(literal 1/8 binary32) |
(*.f32 x x) |
x |
#s(literal 1/2 binary32) |
(log.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) |
(fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) |
(+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) |
#s(literal -1 binary32) |
(neg.f32 x) |
x |
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))) |
(log.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) |
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) |
(neg.f32 (log.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) |
#s(literal 1 binary32) |
(+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) |
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01953125 | (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) | |
| accuracy | 0.03125 | (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) | |
| accuracy | 0.11371920392217176 | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) | |
| accuracy | 0.9043120891548548 | #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) | |
| accuracy | 0 | (neg.f32 x) | |
| accuracy | 0.12471112475805797 | (log.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) | |
| accuracy | 0.9043120891548548 | #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) | |
| accuracy | 29.625569735632084 | (fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) | |
| accuracy | 0.052623731306218925 | #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x))) | |
| accuracy | 0.12109375 | (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x) | |
| accuracy | 0.12471112475805797 | (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)))) | |
| accuracy | 0.8290739630090892 | (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) |
| 104.0ms | 256× | 0 | valid |
Compiled 518 to 83 computations (84% saved)
ival-add: 40.0ms (44.3% of total)ival-div: 22.0ms (24.4% of total)ival-mult: 8.0ms (8.9% of total)ival-log: 7.0ms (7.7% of total)ival-sub: 5.0ms (5.5% of total)ival-sqrt: 3.0ms (3.3% of total)ival-pow: 3.0ms (3.3% of total)ival-neg: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)))) |
#s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x))) |
#s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)) |
(fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) |
(log.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(neg.f32 x) |
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) |
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) |
(+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) |
(/.f32 #s(literal 1/8 binary32) (*.f32 x x)) |
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x) |
| Outputs |
|---|
(/ -1/8 (pow x 3)) |
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3)) |
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3)) |
(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)))))))) |
(* -1 x) |
(+ (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)))))) |
(log (/ 1 (sqrt -1))) |
(+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1)))) |
(+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (/ 1 (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 (sqrt -1)))) |
(- (/ x (sqrt -1)) (log (/ 1 (sqrt -1)))) |
(- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1)))) |
(- (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1)))) |
(/ 1 (sqrt -1)) |
(+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1))) |
(+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1))) |
(+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1))) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 4)) |
(/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 4)) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (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)))) |
(* 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 (+ (log 1/2) (log (/ 1 x)))) |
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x)))) |
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x) |
(/ 1/2 (pow x 2)) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 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))))))) |
(+ (log (/ -1 x)) (log (/ 1 (- (pow (sqrt -1) 2) 1)))) |
(- (+ (log (/ -1 x)) (log (/ 1 (- (pow (sqrt -1) 2) 1)))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))) |
(- (+ (log (/ -1 x)) (+ (log (/ 1 (- (pow (sqrt -1) 2) 1))) (* 1/24 (/ (- (* 24 (* (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (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 (/ -1 x)) (+ (log (/ 1 (- (pow (sqrt -1) 2) 1))) (+ (* 1/720 (/ (- (+ (* -720 (* (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2)))))) (- (pow (sqrt -1) 2) 1))) (* 360 (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (pow x 6))) (* 1/24 (/ (- (* 24 (* (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (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)))) |
(* -1 (+ (log (/ -1 x)) (log (/ 1 (- (pow (sqrt -1) 2) 1))))) |
(- (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))) (+ (log (/ -1 x)) (log (/ 1 (- (pow (sqrt -1) 2) 1))))) |
(- (+ (* -1/24 (/ (- (* 24 (* (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (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 (/ -1 x)) (log (/ 1 (- (pow (sqrt -1) 2) 1))))) |
(- (+ (* -1/720 (/ (- (+ (* -720 (* (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))))) (- (pow (sqrt -1) 2) 1))) (* 360 (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))) (+ (log (/ -1 x)) (+ (log (/ 1 (- (pow (sqrt -1) 2) 1))) (* 1/24 (/ (- (* 24 (* (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4)))))) |
(/ -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (/ (- (/ 1 (- (pow (sqrt -1) 2) 1)) (* 1/2 (/ 1 (* (pow x 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) |
(* -1 (/ (- (+ (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) (+ (* 1/4 (/ 1 (* (pow x 4) (pow (- (pow (sqrt -1) 2) 1) 3)))) (/ 1 (- (pow (sqrt -1) 2) 1)))) (/ 1/2 (* (pow x 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))))) (pow x 6))) (+ (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) (+ (* 1/4 (/ 1 (* (pow x 4) (pow (- (pow (sqrt -1) 2) 1) 3)))) (/ 1 (- (pow (sqrt -1) 2) 1))))) (/ 1/2 (* (pow x 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((* (- 2 (/ (/ (+ (/ 1/8 (* x x)) 1/2) x) x)) x) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (+ (* -1 (neg x)) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ (* -1 (neg x)) (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (neg x) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (log (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (neg (log (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (/ 1/8 (* x x)) (/ (/ (+ (/ 1/8 (* x x)) 1/2) x) x)) |
| 3.0ms | x | @ | 0 | ((* (- 2 (/ (/ (+ (/ 1/8 (* x x)) 1/2) x) x)) x) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (+ (* -1 (neg x)) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ (* -1 (neg x)) (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (neg x) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (log (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (neg (log (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (/ 1/8 (* x x)) (/ (/ (+ (/ 1/8 (* x x)) 1/2) x) x)) |
| 2.0ms | x | @ | inf | ((* (- 2 (/ (/ (+ (/ 1/8 (* x x)) 1/2) x) x)) x) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (+ (* -1 (neg x)) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ (* -1 (neg x)) (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (neg x) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (log (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (neg (log (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (/ 1/8 (* x x)) (/ (/ (+ (/ 1/8 (* x x)) 1/2) x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 362 | 1969 |
| 1 | 1034 | 1146 |
| 2 | 3517 | 1131 |
| 0 | 8103 | 1090 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1/8 (pow x 3)) |
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3)) |
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3)) |
(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)))))))) |
(* -1 x) |
(+ (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)))))) |
(log (/ 1 (sqrt -1))) |
(+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1)))) |
(+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (/ 1 (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 (sqrt -1)))) |
(- (/ x (sqrt -1)) (log (/ 1 (sqrt -1)))) |
(- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1)))) |
(- (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1)))) |
(/ 1 (sqrt -1)) |
(+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1))) |
(+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1))) |
(+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1))) |
(/ 1/8 (pow x 2)) |
(/ 1/8 (pow x 4)) |
(/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 4)) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (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)))) |
(* 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 (+ (log 1/2) (log (/ 1 x)))) |
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x)))) |
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x) |
(/ 1/2 (pow x 2)) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 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))))))) |
(+ (log (/ -1 x)) (log (/ 1 (- (pow (sqrt -1) 2) 1)))) |
(- (+ (log (/ -1 x)) (log (/ 1 (- (pow (sqrt -1) 2) 1)))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))) |
(- (+ (log (/ -1 x)) (+ (log (/ 1 (- (pow (sqrt -1) 2) 1))) (* 1/24 (/ (- (* 24 (* (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (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 (/ -1 x)) (+ (log (/ 1 (- (pow (sqrt -1) 2) 1))) (+ (* 1/720 (/ (- (+ (* -720 (* (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2)))))) (- (pow (sqrt -1) 2) 1))) (* 360 (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (pow x 6))) (* 1/24 (/ (- (* 24 (* (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (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)))) |
(* -1 (+ (log (/ -1 x)) (log (/ 1 (- (pow (sqrt -1) 2) 1))))) |
(- (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))) (+ (log (/ -1 x)) (log (/ 1 (- (pow (sqrt -1) 2) 1))))) |
(- (+ (* -1/24 (/ (- (* 24 (* (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (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 (/ -1 x)) (log (/ 1 (- (pow (sqrt -1) 2) 1))))) |
(- (+ (* -1/720 (/ (- (+ (* -720 (* (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))))) (- (pow (sqrt -1) 2) 1))) (* 360 (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))) (+ (log (/ -1 x)) (+ (log (/ 1 (- (pow (sqrt -1) 2) 1))) (* 1/24 (/ (- (* 24 (* (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4)))))) |
(/ -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (/ (- (/ 1 (- (pow (sqrt -1) 2) 1)) (* 1/2 (/ 1 (* (pow x 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) |
(* -1 (/ (- (+ (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) (+ (* 1/4 (/ 1 (* (pow x 4) (pow (- (pow (sqrt -1) 2) 1) 3)))) (/ 1 (- (pow (sqrt -1) 2) 1)))) (/ 1/2 (* (pow x 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))))) (pow x 6))) (+ (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) (+ (* 1/4 (/ 1 (* (pow x 4) (pow (- (pow (sqrt -1) 2) 1) 3)))) (/ 1 (- (pow (sqrt -1) 2) 1))))) (/ 1/2 (* (pow x 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) |
| Outputs |
|---|
(/ -1/8 (pow x 3)) |
(/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32))) |
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3)) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3)) |
(/.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -1/2 binary32)) (*.f32 x x) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 3 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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (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 (fma.f32 (*.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 3/40 binary32) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (pow.f32 x #s(literal 3 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)))))))) |
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(- (+ (* -1/24 (/ (- (* 24 (* (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (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 (/ -1 x)) (log (/ 1 (- (pow (sqrt -1) 2) 1))))) |
(-.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -2 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(- (+ (* -1/720 (/ (- (+ (* -720 (* (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))))) (- (pow (sqrt -1) 2) 1))) (* 360 (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))) (+ (log (/ -1 x)) (+ (log (/ 1 (- (pow (sqrt -1) 2) 1))) (* 1/24 (/ (- (* 24 (* (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4)))))) |
(-.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/720 binary32) (fma.f32 #s(literal 1440 binary32) (/.f32 #s(literal 1/64 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal 135/4 binary32)) #s(literal 5/192 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 1/2 binary32) x) |
(* -1 (/ (- (/ 1 (- (pow (sqrt -1) 2) 1)) (* 1/2 (/ 1 (* (pow x 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) x)) |
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) |
(* -1 (/ (- (+ (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) (+ (* 1/4 (/ 1 (* (pow x 4) (pow (- (pow (sqrt -1) 2) 1) 3)))) (/ 1 (- (pow (sqrt -1) 2) 1)))) (/ 1/2 (* (pow x 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) |
(/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/4 binary32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 3)))) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/2 (/ (+ (* 1/8 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (* 1/4 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3)))) (- (pow (sqrt -1) 2) 1))))) (pow x 6))) (+ (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2))))) (+ (* 1/4 (/ 1 (* (pow x 4) (pow (- (pow (sqrt -1) 2) 1) 3)))) (/ 1 (- (pow (sqrt -1) 2) 1))))) (/ 1/2 (* (pow x 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) x)) |
(/.f32 (-.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/4 binary32) #s(literal -1/2 binary32)) (/.f32 (+.f32 #s(literal 3/128 binary32) (/.f32 #s(literal 1/64 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 254 |
| 0 | 56 | 239 |
| 1 | 243 | 213 |
| 2 | 1898 | 213 |
| 0 | 8512 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)))) |
#s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x))) |
#s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)) |
(fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) |
(log.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(neg.f32 x) |
#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) |
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) |
(+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) |
(/.f32 #s(literal 1/8 binary32) (*.f32 x x)) |
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x) |
| Outputs |
|---|
(*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))) x) |
(*.f32 x (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) #s(literal 2 binary32))) x)) (neg.f32 (fma.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) #s(literal 3 binary32))) x)) (neg.f32 (fma.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) (fma.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal 4 binary32)))) |
(/.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) #s(literal 2 binary32))))) (neg.f32 (fma.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) (fma.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal 4 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) #s(literal 2 binary32))) x) (fma.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) #s(literal 3 binary32))) x) (fma.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) (fma.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal 4 binary32))) |
(/.f32 (*.f32 x (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) #s(literal 2 binary32)))) (fma.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32))) |
(/.f32 (*.f32 x (-.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) #s(literal 3 binary32)))) (fma.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32))) (fma.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal 4 binary32))) |
(fma.f32 x #s(literal 2 binary32) (*.f32 x (/.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) (*.f32 x x)))) |
(fma.f32 #s(literal 2 binary32) x (*.f32 (/.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) (*.f32 x x)) x)) |
(+.f32 (*.f32 #s(literal 2 binary32) x) (*.f32 (/.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) (*.f32 x x)) x)) |
(+.f32 (*.f32 x #s(literal 2 binary32)) (*.f32 x (/.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) (*.f32 x x)))) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))) x)))) |
#s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))) x))) |
#s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (pow.f32 x #s(literal -2 binary32)))) x)) |
(*.f32 (/.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (*.f32 x (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) #s(literal 1 binary32)) (/.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (*.f32 x (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))))) |
(*.f32 (/.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (*.f32 x (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (*.f32 x (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))))) |
(*.f32 (pow.f32 (pow.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (*.f32 x (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) #s(literal 1 binary32))) |
(*.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) |
(*.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))) |
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (*.f32 x (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))))) |
(*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x)))) |
(*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (/.f32 (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) |
(*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) #s(literal -1 binary32))) |
(*.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) #s(literal 1 binary32))) |
(*.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) (neg.f32 (neg.f32 (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))) (neg.f32 (neg.f32 (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (*.f32 x (-.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #s(literal 2 binary32)) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) (*.f32 (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (*.f32 x x))) (*.f32 (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x) (-.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))) |
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x x) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 x (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x))) |
(/.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x) x) |
(/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (*.f32 x x)) |
(-.f32 (/.f32 (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (*.f32 x x) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal -1/2 binary32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal -1/2 binary32))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) x)) (/.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) (*.f32 x x))) |
(-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal -1/2 binary32))) (*.f32 x x)) (/.f32 (/.f32 #s(literal 1/4 binary32) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal -1/2 binary32))) (*.f32 x x))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 x)) (/.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) (*.f32 x x))) |
(pow.f32 (/.f32 (/.f32 x (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 x x) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 x (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x)) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 x (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) x))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32) #s(literal 1/2 binary32))) (*.f32 x x))) |
Compiled 15 107 to 1 853 computations (87.7% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 384 | 2 | 386 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 2 | 4 | 6 |
| Total | 388 | 7 | 395 |
| Status | Accuracy | Program |
|---|---|---|
| 97.8% | (neg.f32 (log.f32 #s(approx (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (/.f32 #s(literal 1/2 binary32) x)))) | |
| 8.4% | (log.f32 (fma.f32 (neg.f32 x) #s(literal -1 binary32) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) | |
| ✓ | 99.6% | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
| ✓ | 53.6% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ✓ | 97.5% | (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
| ✓ | 99.0% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
| ✓ | 99.5% | (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)))) |
Compiled 414 to 213 computations (48.6% saved)
| Inputs |
|---|
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
(log.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 (fma.f32 (neg.f32 x) #s(literal -1 binary32) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(neg.f32 (log.f32 #s(approx (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (/.f32 #s(literal 1/2 binary32) x)))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) 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))))) |
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) #s(approx (- (* (/ -1 x) 1/2) (* (- -2 (/ -1/8 (pow x 4))) x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (-.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)))) |
(log.f32 (+.f32 x (sqrt.f32 (/.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))))))))) |
| Outputs |
|---|
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
3 calls:
| 17.0ms | x |
| 5.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 5.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 99.6% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
(log.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 (fma.f32 (neg.f32 x) #s(literal -1 binary32) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(neg.f32 (log.f32 #s(approx (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (/.f32 #s(literal 1/2 binary32) x)))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) 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))))) |
| 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 |
|---|---|---|
| 99.0% | 1 | x |
| 99.0% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 99.0% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
(log.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 (fma.f32 (neg.f32 x) #s(literal -1 binary32) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(neg.f32 (log.f32 #s(approx (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (/.f32 #s(literal 1/2 binary32) x)))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) 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 |
|---|
(neg.f32 (log.f32 #s(approx (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (/.f32 #s(literal 1/2 binary32) x)))) |
3 calls:
| 3.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 3.0ms | x |
| 3.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | x |
| 97.8% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 97.8% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
Total -30.4b remaining (-3813.7%)
Threshold costs -30.4b (-3813.7%)
| Inputs |
|---|
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
(log.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 x) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 (fma.f32 (neg.f32 x) #s(literal -1 binary32) #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
| Outputs |
|---|
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
3 calls:
| 16.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 2.0ms | x |
| 2.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | x |
| 97.5% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 97.5% | 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 60 |
| 1 | 46 | 60 |
| 2 | 58 | 60 |
| 3 | 70 | 60 |
| 4 | 90 | 60 |
| 5 | 119 | 60 |
| 6 | 122 | 60 |
| 1× | saturated |
| Inputs |
|---|
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(neg.f32 (log.f32 #s(approx (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
| Outputs |
|---|
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(log.f32 (+.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) x)) |
(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)) |
(neg.f32 (log.f32 #s(approx (/ 1 (+ (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 1321 |
| 1 | 956 | 1096 |
| 2 | 3077 | 1063 |
| 0 | 8242 | 995 |
| 0 | 150 | 519 |
| 1 | 411 | 493 |
| 2 | 1146 | 486 |
| 3 | 3331 | 448 |
| 4 | 7980 | 448 |
| 0 | 8533 | 426 |
| 0 | 362 | 1969 |
| 1 | 1034 | 1146 |
| 2 | 3517 | 1131 |
| 0 | 8103 | 1090 |
| 0 | 31 | 145 |
| 0 | 44 | 129 |
| 1 | 169 | 117 |
| 2 | 1210 | 117 |
| 0 | 8283 | 105 |
| 0 | 7 | 31 |
| 0 | 12 | 31 |
| 1 | 49 | 31 |
| 2 | 322 | 31 |
| 3 | 3626 | 31 |
| 0 | 8646 | 27 |
| 1× | fuel |
| 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 |
| 1× | iter limit |
| 1× | node limit |
Compiled 150 to 96 computations (36% saved)
Compiled 162 to 96 computations (40.7% saved)
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