Rust f32::acosh
Time bar (total: 7.1s)
| 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)
| 326.0ms | 8 256× | 0 | valid |
ival-acosh: 132.0ms (73.7% of total)ival->=: 37.0ms (20.7% of total)exact: 7.0ms (3.9% of total)ival-assert: 4.0ms (2.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 121 | 0 | - | 0 | - | (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
| 3 | 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 | 121 | 0 |
| ↳ | (*.f32 x x) | overflow | 121 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 121 | |
log.f32 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) | oflow-rescue | 3 | 0 |
| ↳ | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) | overflow | 3 | |
| ↳ | (*.f32 x x) | overflow | 121 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 121 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 121 | 0 |
| - | 0 | 135 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 121 | 0 | 0 |
| - | 0 | 0 | 135 |
| number | freq |
|---|---|
| 0 | 135 |
| 1 | 118 |
| 2 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 512× | 0 | valid |
Compiled 112 to 32 computations (71.4% saved)
ival-log: 5.0ms (25.4% of total)ival-mult: 5.0ms (25.4% of total)ival-sub: 3.0ms (15.2% of total)ival-sqrt: 3.0ms (15.2% of total)ival-add: 2.0ms (10.2% 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 |
|---|---|---|
| ▶ | 55.8% | (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 | 0.3624153255358234 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) | |
| accuracy | 13.061608267514126 | (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 (22.5% of total)ival-mult: 2.0ms (22.5% of total)ival-sqrt: 2.0ms (22.5% of total)ival-sub: 1.0ms (11.2% of total)ival-add: 1.0ms (11.2% 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 | |
|---|---|---|---|---|
| 2.0ms | 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)) |
| 1.0ms | 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)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 359 | 6 | 365 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 359 | 7 | 366 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 27.0% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ✓ | 55.8% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ▶ | 97.8% | (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)))) |
| ▶ | 96.4% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
| ▶ | 98.6% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.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)))) |
| 96.6% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
Compiled 209 to 157 computations (24.9% 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 | (log.f32 #s(literal 2 binary32)) | |
| cost-diff | 0 | (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) | |
| cost-diff | 0 | (-.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))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 272 |
| 0 | 67 | 264 |
| 1 | 98 | 264 |
| 2 | 146 | 264 |
| 3 | 285 | 264 |
| 4 | 688 | 264 |
| 5 | 1284 | 264 |
| 6 | 1956 | 264 |
| 7 | 3525 | 264 |
| 8 | 5127 | 264 |
| 9 | 6229 | 264 |
| 10 | 6711 | 264 |
| 11 | 6954 | 264 |
| 12 | 7029 | 264 |
| 13 | 7053 | 264 |
| 14 | 7059 | 264 |
| 15 | 7063 | 264 |
| 16 | 7103 | 264 |
| 17 | 7111 | 264 |
| 18 | 7111 | 264 |
| 0 | 8729 | 264 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.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)))) |
(-.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))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(log.f32 #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
#s(literal 1/4 binary32) |
(*.f32 x 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)) |
(/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) |
(/.f32 #s(literal 5/96 binary32) (*.f32 x x)) |
#s(literal 5/96 binary32) |
#s(literal 3/32 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(log.f32 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 |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.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)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.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)))) |
(-.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))) |
(-.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))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(log.f32 #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
#s(literal 1/4 binary32) |
(*.f32 x 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)) |
(-.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)) |
(/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 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 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) |
(-.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal -3/32 binary32)) |
(/.f32 #s(literal 5/96 binary32) (*.f32 x x)) |
#s(literal 5/96 binary32) |
#s(literal 3/32 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(log.f32 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))))) |
(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 | 0.3624153255358234 | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) | |
| accuracy | 13.061608267514126 | (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) | |
| accuracy | 31.442376752951507 | (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 | 0.3624153255358234 | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) | |
| accuracy | 0.42055566214096946 | #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 | 0.3624153255358234 | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) | |
| accuracy | 0.37920957722875376 | #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) | |
| accuracy | 30.103889064741207 | (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) | |
| accuracy | 0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0.3624153255358234 | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) | |
| accuracy | 0.9475473353044657 | #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) | |
| accuracy | 0.32421875 | (-.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))) | |
| accuracy | 0.38365957324620287 | (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) | |
| accuracy | 0.7582229296890624 | (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) | |
| accuracy | 0.8778738617726748 | (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
| 201.0ms | 256× | 0 | valid |
Compiled 487 to 79 computations (83.8% saved)
ival-log: 50.0ms (59.2% of total)ival-div: 8.0ms (9.5% of total)ival-add: 6.0ms (7.1% of total)ival-sub: 6.0ms (7.1% of total)const: 4.0ms (4.7% of total)ival-mult: 3.0ms (3.6% of total)ival-sqrt: 3.0ms (3.6% of total)ival-pow: 3.0ms (3.6% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.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)))) |
(-.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))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(log.f32 #s(literal 2 binary32)) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(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)) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
(/.f32 #s(literal 5/96 binary32) (*.f32 x x)) |
(/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 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))))) |
(/ -5/96 (pow x 6)) |
(/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6)) |
(/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6)) |
(/ -1/4 (pow x 2)) |
(/ (- (* (pow x 2) (log 2)) 1/4) (pow x 2)) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(* 2 x) |
(/ -1/2 x) |
(/ (- (* 2 (pow x 2)) 1/2) 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)))))) |
(/ (- (pow x 2) 1/2) x) |
-1 |
(- (pow x 2) 1) |
(/ 1/4 (pow x 2)) |
(/ 5/96 (pow x 2)) |
(/ 5/96 (pow x 6)) |
(/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(log 2) |
(- (log 2) (* 1/4 (/ 1 (pow x 2)))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(/ 3/32 (pow x 4)) |
(/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))) |
(- (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))) (* 1/4 (/ 1 (pow x 2)))) |
(/ 1/2 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))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | x | @ | 0 | ((log (+ x (sqrt (- (* x x) 1)))) (- (- (log 2) (/ 1/4 (* x x))) (- (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (log x))) (- (log 2) (/ 1/4 (* x x))) (log 2) (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) (/ 1/4 (* x x)) (/ 5/96 (* x x)) (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4))) |
| 7.0ms | x | @ | inf | ((log (+ x (sqrt (- (* x x) 1)))) (- (- (log 2) (/ 1/4 (* x x))) (- (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (log x))) (- (log 2) (/ 1/4 (* x x))) (log 2) (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) (/ 1/4 (* x x)) (/ 5/96 (* x x)) (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4))) |
| 4.0ms | x | @ | -inf | ((log (+ x (sqrt (- (* x x) 1)))) (- (- (log 2) (/ 1/4 (* x x))) (- (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (log x))) (- (log 2) (/ 1/4 (* x x))) (log 2) (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) (/ 1/4 (* x x)) (/ 5/96 (* x x)) (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 206 | 771 |
| 1 | 546 | 739 |
| 2 | 1532 | 720 |
| 3 | 4525 | 699 |
| 0 | 8237 | 670 |
| 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))))) |
(/ -5/96 (pow x 6)) |
(/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6)) |
(/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6)) |
(/ -1/4 (pow x 2)) |
(/ (- (* (pow x 2) (log 2)) 1/4) (pow x 2)) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(* 2 x) |
(/ -1/2 x) |
(/ (- (* 2 (pow x 2)) 1/2) 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)))))) |
(/ (- (pow x 2) 1/2) x) |
-1 |
(- (pow x 2) 1) |
(/ 1/4 (pow x 2)) |
(/ 5/96 (pow x 2)) |
(/ 5/96 (pow x 6)) |
(/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(log 2) |
(- (log 2) (* 1/4 (/ 1 (pow x 2)))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(/ 3/32 (pow x 4)) |
(/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))) |
(- (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))) (* 1/4 (/ 1 (pow x 2)))) |
(/ 1/2 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))) |
| 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 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #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))))) |
(/ -5/96 (pow x 6)) |
(/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32))) |
(/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6)) |
(/.f32 (fma.f32 #s(literal -3/32 binary32) (*.f32 x x) #s(literal -5/96 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6)) |
(/.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) #s(literal -3/32 binary32)) (*.f32 x x) #s(literal -5/96 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6)) |
(/.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (*.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) x) x #s(literal -1/4 binary32)) (fma.f32 #s(literal -3/32 binary32) (*.f32 x x) #s(literal -5/96 binary32))) (pow.f32 x #s(literal 6 binary32))) |
(/ -1/4 (pow x 2)) |
(/.f32 #s(literal -1/4 binary32) (*.f32 x x)) |
(/ (- (* (pow x 2) (log 2)) 1/4) (pow x 2)) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 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 (/.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))) |
(* 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)) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/16 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))) |
(/ (- (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)) |
(/ 1/4 (pow x 2)) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
(/ 5/96 (pow x 2)) |
(/.f32 #s(literal 5/96 binary32) (*.f32 x x)) |
(/ 5/96 (pow x 6)) |
(/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) |
(/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6)) |
(/.f32 (fma.f32 #s(literal 3/32 binary32) (*.f32 x x) #s(literal 5/96 binary32)) (pow.f32 x #s(literal 6 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))) |
(log 2) |
(log.f32 #s(literal 2 binary32)) |
(- (log 2) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x 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))))) |
(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))))) |
(*.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 #s(literal -1/2 binary32) (*.f32 x x)) x 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 -1/2 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) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(/ 3/32 (pow x 4)) |
(/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) |
(/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(+ (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 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.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))) |
(+ (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) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))) |
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (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.f32 (/.f32 #s(literal -1 binary32) x))) |
(- (+ (log -1) (+ (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 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (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))))) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))) x) |
(* -1 (* x (- (* 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) |
(neg.f32 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x (neg.f32 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)))))) |
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 225 |
| 0 | 67 | 217 |
| 1 | 270 | 217 |
| 2 | 2253 | 217 |
| 0 | 8857 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.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)))) |
(-.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))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(log.f32 #s(literal 2 binary32)) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(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)) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
(/.f32 #s(literal 5/96 binary32) (*.f32 x x)) |
(/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)))) |
(*.f32 (-.f32 (pow.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)) (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))))) |
(*.f32 (-.f32 (pow.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)) (+.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)) (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))) (pow.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32))))) |
(/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (neg.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x))) (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (pow.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)))) #s(literal 3 binary32))) (fma.f32 (log.f32 x) (log.f32 x) (-.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)))) #s(literal 2 binary32)) (*.f32 (log.f32 x) (-.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)))))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32))) (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x))) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32))) (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x))) (-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32))) (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)))) (*.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32))) (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x))))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (neg.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)))) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (*.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (neg.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)))) (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (neg.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x))))) (*.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (neg.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)))))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)))) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (*.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)))) (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x))))) (*.f32 (log.f32 #s(literal 2 binary32)) (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)))))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x))) #s(literal 2 binary32)))) (neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)))) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32)))) (neg.f32 (-.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)))) (log.f32 x)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (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 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x))) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)))))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)))) (log.f32 x)))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (+.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)) (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)) (+.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (log.f32 x)) (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))) (pow.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)))))) |
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(/.f32 (neg.f32 (*.f32 (fma.f32 #s(literal 25/9216 binary32) (pow.f32 x #s(literal -4 binary32)) #s(literal -9/1024 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal -3/32 binary32)) (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 #s(literal 125/884736 binary32) (pow.f32 x #s(literal -6 binary32)) #s(literal 27/32768 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (-.f32 (fma.f32 #s(literal 25/9216 binary32) (pow.f32 x #s(literal -4 binary32)) #s(literal 9/1024 binary32)) (/.f32 #s(literal 5/1024 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)) (*.f32 x x)) (*.f32 x x)) |
(/.f32 (*.f32 (fma.f32 #s(literal 25/9216 binary32) (pow.f32 x #s(literal -4 binary32)) #s(literal -9/1024 binary32)) (pow.f32 x #s(literal -4 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal -3/32 binary32))) |
(/.f32 (*.f32 (fma.f32 #s(literal 125/884736 binary32) (pow.f32 x #s(literal -6 binary32)) #s(literal 27/32768 binary32)) (pow.f32 x #s(literal -4 binary32))) (-.f32 (fma.f32 #s(literal 25/9216 binary32) (pow.f32 x #s(literal -4 binary32)) #s(literal 9/1024 binary32)) (/.f32 #s(literal 5/1024 binary32) (*.f32 x x)))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 25/9216 binary32) (pow.f32 x #s(literal -4 binary32)) #s(literal -9/1024 binary32))) (neg.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal -3/32 binary32))))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 125/884736 binary32) (pow.f32 x #s(literal -6 binary32)) #s(literal 27/32768 binary32))) (neg.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (fma.f32 #s(literal 25/9216 binary32) (pow.f32 x #s(literal -4 binary32)) #s(literal 9/1024 binary32)) (/.f32 #s(literal 5/1024 binary32) (*.f32 x x)))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)))) (neg.f32 (neg.f32 (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(/.f32 (*.f32 (fma.f32 #s(literal 25/9216 binary32) (pow.f32 x #s(literal -4 binary32)) #s(literal -9/1024 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal -3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (*.f32 (fma.f32 #s(literal 125/884736 binary32) (pow.f32 x #s(literal -6 binary32)) #s(literal 27/32768 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 #s(literal 25/9216 binary32) (pow.f32 x #s(literal -4 binary32)) #s(literal 9/1024 binary32)) (/.f32 #s(literal 5/1024 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (fma.f32 #s(literal 25/9216 binary32) (pow.f32 x #s(literal -4 binary32)) #s(literal -9/1024 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal -3/32 binary32)))) |
(/.f32 (fma.f32 #s(literal 125/884736 binary32) (pow.f32 x #s(literal -6 binary32)) #s(literal 27/32768 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (fma.f32 #s(literal 25/9216 binary32) (pow.f32 x #s(literal -4 binary32)) #s(literal 9/1024 binary32)) (/.f32 #s(literal 5/1024 binary32) (*.f32 x x))))) |
(/.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (neg.f32 (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))))) |
(/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)))) |
(-.f32 (/.f32 (/.f32 #s(literal 25/9216 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal -3/32 binary32)))) (/.f32 #s(literal 9/1024 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal -3/32 binary32))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 x #s(literal 4 binary32)))) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)) (neg.f32 (pow.f32 x #s(literal 4 binary32))))) |
(-.f32 (/.f32 (/.f32 (/.f32 #s(literal 25/9216 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal -3/32 binary32))) (pow.f32 x #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal 9/1024 binary32) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal -3/32 binary32))) (pow.f32 x #s(literal 4 binary32)))) |
(pow.f32 (/.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))) (pow.f32 x #s(literal 4 binary32)))) |
(neg.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 5/96 binary32) #s(literal 3/32 binary32)) (neg.f32 (pow.f32 x #s(literal 4 binary32))))) |
Compiled 21 215 to 2 762 computations (87% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 616 | 3 | 619 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 617 | 9 | 626 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 26.9% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ✓ | 55.8% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ▶ | 40.5% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)))) |
| ✓ | 97.8% | (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)))) |
| ▶ | 97.8% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) |
| ✓ | 96.4% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
| ▶ | 98.3% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)))) |
| ▶ | 96.6% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
Compiled 148 to 112 computations (24.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)) | |
| cost-diff | 0 | (+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x))) | |
| cost-diff | 0 | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)))) | |
| cost-diff | 96 | (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x) | |
| cost-diff | 0 | (/.f32 #s(literal -1/2 binary32) x) | |
| cost-diff | 0 | #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))) | |
| cost-diff | 0 | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) | |
| cost-diff | 64 | (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)) | |
| cost-diff | 0 | (log.f32 #s(literal 2 binary32)) | |
| cost-diff | 0 | (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) | |
| cost-diff | 0 | (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)))) | |
| cost-diff | 0 | (log.f32 #s(literal 2 binary32)) | |
| cost-diff | 0 | (log.f32 x) | |
| cost-diff | 0 | (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 269 |
| 0 | 59 | 265 |
| 1 | 91 | 265 |
| 2 | 135 | 265 |
| 3 | 257 | 265 |
| 4 | 621 | 265 |
| 5 | 1095 | 265 |
| 6 | 1580 | 265 |
| 7 | 2298 | 265 |
| 8 | 3635 | 265 |
| 9 | 5024 | 265 |
| 10 | 6152 | 265 |
| 11 | 6874 | 265 |
| 12 | 7229 | 265 |
| 13 | 7884 | 265 |
| 0 | 8057 | 255 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(log.f32 x) |
x |
(log.f32 #s(literal 2 binary32)) |
#s(literal 2 binary32) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)))) |
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(log.f32 #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
#s(literal 1/4 binary32) |
(*.f32 x x) |
x |
(-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) |
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) |
#s(literal 3/32 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(log.f32 x) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))) |
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
x |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x))) |
x |
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x) |
(/.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
#s(literal -1/2 binary32) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(log.f32 x) |
x |
(log.f32 #s(literal 2 binary32)) |
#s(literal 2 binary32) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)))) |
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(log.f32 #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
#s(literal 1/4 binary32) |
(*.f32 x x) |
x |
(-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) |
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) |
#s(literal 3/32 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(log.f32 x) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 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))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))) |
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)) |
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
x |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)))) |
(log.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x)) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x))) |
(+.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x) |
x |
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)) |
#s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x) |
(+.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(/.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
#s(literal -1/2 binary32) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x))) | |
| accuracy | 0.3624153255358234 | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)))) | |
| accuracy | 0.42055566214096946 | #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)) | |
| accuracy | 26.5413149423711 | (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x) | |
| accuracy | 0 | (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)) | |
| accuracy | 0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0.3624153255358234 | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) | |
| accuracy | 0.37920957722875376 | #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))) | |
| accuracy | 0.32421875 | (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x))) | |
| accuracy | 0.39928457324620287 | (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) | |
| accuracy | 0.8778738617726748 | (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) | |
| accuracy | 1.043667414551557 | #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) | |
| accuracy | 0 | (log.f32 x) | |
| accuracy | 0 | (log.f32 #s(literal 2 binary32)) | |
| accuracy | 0.3125 | (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) | |
| accuracy | 0.794812022338329 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
| 97.0ms | 256× | 0 | valid |
Compiled 450 to 76 computations (83.1% saved)
ival-div: 52.0ms (62.7% of total)ival-log: 7.0ms (8.4% of total)ival-add: 6.0ms (7.2% of total)ival-mult: 5.0ms (6% of total)ival-sub: 4.0ms (4.8% of total)const: 4.0ms (4.8% of total)ival-pow: 3.0ms (3.6% of total)ival-sqrt: 2.0ms (2.4% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.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)) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)))) |
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))) |
(/.f32 #s(literal -1/2 binary32) x) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x))) |
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)) |
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
(/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) |
(*.f32 #s(literal 2 binary32) x) |
| Outputs |
|---|
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(+ (log 2) (log x)) |
(log x) |
(/ -5/96 (pow x 6)) |
(/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6)) |
(/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6)) |
(/ -1/4 (pow x 2)) |
(/ (- (* (pow x 2) (log 2)) 1/4) (pow x 2)) |
(/ -1/2 x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(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)))))))) |
(/ (- (pow x 2) 1/2) 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)))))) |
(/ 5/96 (pow x 6)) |
(/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6)) |
(/ 1/4 (pow x 2)) |
(/ 3/32 (pow x 4)) |
(* 2 x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(* -1 (log (/ 1 x))) |
(log 2) |
(- (log 2) (* 1/4 (/ 1 (pow x 2)))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))) |
(- (+ (log -1) (+ (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 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -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 | |
|---|---|---|---|---|
| 40.0ms | x | @ | 0 | ((log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) (log (+ x (sqrt (- (* x x) 1)))) (- (- (log 2) (/ 1/4 (* x x))) (- (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (log x))) (- (log 2) (/ 1/4 (* x x))) (+ (/ -1/2 x) (* 2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (/ -1/2 x) (+ (* (/ 1 x) -1/2) x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/ 1/4 (* x x)) (/ 3/32 (pow x 4)) (* 2 x)) |
| 23.0ms | x | @ | -inf | ((log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) (log (+ x (sqrt (- (* x x) 1)))) (- (- (log 2) (/ 1/4 (* x x))) (- (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (log x))) (- (log 2) (/ 1/4 (* x x))) (+ (/ -1/2 x) (* 2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (/ -1/2 x) (+ (* (/ 1 x) -1/2) x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/ 1/4 (* x x)) (/ 3/32 (pow x 4)) (* 2 x)) |
| 16.0ms | x | @ | inf | ((log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) (log (+ x (sqrt (- (* x x) 1)))) (- (- (log 2) (/ 1/4 (* x x))) (- (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (log x))) (- (log 2) (/ 1/4 (* x x))) (+ (/ -1/2 x) (* 2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (/ -1/2 x) (+ (* (/ 1 x) -1/2) x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/ 1/4 (* x x)) (/ 3/32 (pow x 4)) (* 2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 767 |
| 1 | 541 | 736 |
| 2 | 1504 | 717 |
| 3 | 4445 | 696 |
| 0 | 8326 | 669 |
| 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) |
(/ -5/96 (pow x 6)) |
(/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6)) |
(/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6)) |
(/ -1/4 (pow x 2)) |
(/ (- (* (pow x 2) (log 2)) 1/4) (pow x 2)) |
(/ -1/2 x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(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)))))))) |
(/ (- (pow x 2) 1/2) 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)))))) |
(/ 5/96 (pow x 6)) |
(/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6)) |
(/ 1/4 (pow x 2)) |
(/ 3/32 (pow x 4)) |
(* 2 x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(* -1 (log (/ 1 x))) |
(log 2) |
(- (log 2) (* 1/4 (/ 1 (pow x 2)))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))) |
(- (+ (log -1) (+ (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 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -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 |
|---|
(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))))) |
(+ (log 2) (log x)) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(log x) |
(log.f32 x) |
(/ -5/96 (pow x 6)) |
(/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32))) |
(/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6)) |
(/.f32 (fma.f32 #s(literal -3/32 binary32) (*.f32 x x) #s(literal -5/96 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6)) |
(/.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) #s(literal -3/32 binary32)) (*.f32 x x) #s(literal -5/96 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6)) |
(/.f32 (fma.f32 (fma.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (pow.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) #s(literal -3/32 binary32))) (*.f32 x x) #s(literal -5/96 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(/ -1/4 (pow x 2)) |
(/.f32 #s(literal -1/4 binary32) (*.f32 x x)) |
(/ (- (* (pow x 2) (log 2)) 1/4) (pow x 2)) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x 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)) |
(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))) |
(/ (- (pow x 2) 1/2) x) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(+ (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 (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)))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) |
(/ 5/96 (pow x 6)) |
(/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) |
(/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6)) |
(/.f32 (fma.f32 (*.f32 x x) #s(literal 3/32 binary32) #s(literal 5/96 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(/ 1/4 (pow x 2)) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
(/ 3/32 (pow x 4)) |
(/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x)) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (-.f32 (log.f32 x) (/.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 #s(literal 2 binary32)))) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(log 2) |
(log.f32 #s(literal 2 binary32)) |
(- (log 2) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x 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))))) |
(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))))) |
(*.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 #s(literal -1/2 binary32) (*.f32 x x)) x 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 -1/2 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) |
(/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(+ (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 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))) |
(+ (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 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.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))) |
(+ (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))) |
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))) |
(-.f32 (+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x)) (log.f32 #s(literal 2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(- (+ (log -1) (+ (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 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal -3/32 binary32) (/.f32 #s(literal 5/96 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 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) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/2 binary32) x)) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x 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)))))) |
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 223 |
| 0 | 59 | 217 |
| 1 | 257 | 217 |
| 2 | 2042 | 217 |
| 0 | 8867 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(log.f32 x) |
(log.f32 #s(literal 2 binary32)) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)))) |
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))) |
(/.f32 #s(literal -1/2 binary32) x) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x))) |
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)) |
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
(/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) |
(*.f32 #s(literal 2 binary32) x) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal 2 binary32) x))) |
(log.f32 (*.f32 #s(literal 2 binary32) x)) |
(*.f32 (-.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 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 (/.f32 #s(literal 2 binary32) x)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 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 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (fma.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (*.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 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 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 (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 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 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 (log.f32 (/.f32 x #s(literal 2 binary32))) (-.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 (/.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 (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 (log.f32 (/.f32 x #s(literal 2 binary32))) (-.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) (/.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 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))))) |
(-.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 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32))))) |
(pow.f32 (/.f32 (log.f32 (/.f32 x #s(literal 2 binary32))) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.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 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(log.f32 x) |
(-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32))) |
(-.f32 #s(literal 0 binary32) (neg.f32 (log.f32 x))) |
(-.f32 (log.f32 x) #s(literal 0 binary32)) |
(+.f32 (log.f32 x) #s(literal 0 binary32)) |
(neg.f32 (neg.f32 (log.f32 x))) |
(log.f32 #s(literal 2 binary32)) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)))) |
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(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x) (*.f32 x x))))) |
(/.f32 (-.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 2 binary32)) (*.f32 x x)) (-.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x)) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 2 binary32)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x) (*.f32 x x)))) |
(/.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 2 binary32))) (-.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) |
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 2 binary32)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x)))) |
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x) (*.f32 x x))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))) (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 2 binary32)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x) (*.f32 x x)) (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))) (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 2 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x) (*.f32 x x)) (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) |
(-.f32 (/.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x)) (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) (/.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 2 binary32)) (-.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))))) |
(fma.f32 x #s(literal 1 binary32) #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))) |
(pow.f32 (/.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))) (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 2 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x) (*.f32 x x)) (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(+.f32 #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) x) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))) |
#s(approx (sqrt (- (* x x) 1)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(*.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) x)) |
(*.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) x) #s(literal -1/2 binary32)) |
(*.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) x) x) #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal -1 binary32)) (pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) x) #s(literal -1 binary32)) #s(literal -1/2 binary32)) |
(*.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -2 binary32))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) |
(*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)) |
(*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x))) |
(*.f32 #s(literal 1/2 binary32) (pow.f32 (*.f32 x (*.f32 #s(literal 2 binary32) x)) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal -2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/2 binary32) x))) |
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/4 binary32) x)) |
(*.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))) |
(*.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/2 binary32) x)) |
(*.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(*.f32 #s(literal -1/2 binary32) (pow.f32 (*.f32 x (*.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))) |
(*.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 2 binary32))) |
(*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) x))) (neg.f32 (neg.f32 x))) |
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 1/2 binary32))) (neg.f32 (neg.f32 x))) |
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32))) (neg.f32 (*.f32 x #s(literal -2 binary32)))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/2 binary32) x))) (neg.f32 x)) |
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal -1/2 binary32))) (neg.f32 x)) |
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x))) (neg.f32 (neg.f32 x))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) x)) (neg.f32 x)) |
(/.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 1/2 binary32)) (neg.f32 x)) |
(/.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32)) (*.f32 x #s(literal -2 binary32))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/2 binary32) x)) x) |
(/.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal -1/2 binary32)) x) |
(/.f32 (neg.f32 (/.f32 #s(literal -1/2 binary32) x)) (neg.f32 (*.f32 x #s(literal -2 binary32)))) |
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x)) (neg.f32 x)) |
(/.f32 (/.f32 #s(literal 1/4 binary32) x) x) |
(/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (*.f32 (neg.f32 x) x)))) |
(/.f32 #s(literal -1/4 binary32) (*.f32 (neg.f32 x) x)) |
(/.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 x (*.f32 x #s(literal -2 binary32))))) |
(/.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) x))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 x) (*.f32 x #s(literal -2 binary32)))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x #s(literal -2 binary32)) (neg.f32 x))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (/.f32 #s(literal 1/4 binary32) x)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (*.f32 x #s(literal -2 binary32)) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)))) |
(/.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal -2 binary32))) |
(/.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 (neg.f32 x) (*.f32 x #s(literal -2 binary32))))) |
(/.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 (*.f32 x #s(literal -2 binary32)) (neg.f32 x)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x (*.f32 x #s(literal -2 binary32)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 x #s(literal -2 binary32)) x)) |
(/.f32 #s(literal 1/4 binary32) (neg.f32 (*.f32 (neg.f32 x) x))) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/4 binary32) x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x #s(literal -2 binary32)) #s(literal 2 binary32))) |
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) (*.f32 x x))) |
(pow.f32 (/.f32 x (/.f32 #s(literal 1/4 binary32) x)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (*.f32 x #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 x #s(literal -2 binary32)) #s(literal -2 binary32)) |
(pow.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) |
(pow.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 2 binary32)) |
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 4 binary32) (*.f32 x x))) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1/2 binary32) x)) #s(literal 2 binary32))) |
(neg.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)))) |
(*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 3/32 binary32)) |
(*.f32 (pow.f32 x #s(literal -2 binary32)) (pow.f32 (/.f32 (*.f32 x x) #s(literal 3/32 binary32)) #s(literal -1 binary32))) |
(*.f32 #s(literal -3/32 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 x #s(literal 4 binary32))))) |
(*.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal -4 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (neg.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x))) (*.f32 (neg.f32 x) x)) |
(/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x)) |
(/.f32 #s(literal -3/32 binary32) (neg.f32 (neg.f32 (neg.f32 (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 #s(literal -3/32 binary32) (neg.f32 (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 32/3 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 32/3 binary32)))) |
(/.f32 #s(literal 3/32 binary32) (neg.f32 (neg.f32 (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 32/3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 32/3 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 32/3 binary32))) |
(pow.f32 (/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 32/3 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 32/3 binary32)) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 32/3 binary32))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 x #s(literal 2 binary32)) |
Compiled 20 092 to 1 811 computations (91% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 405 | 1 | 406 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 5 | 5 |
| Total | 406 | 9 | 415 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 26.7% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ✓ | 55.8% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ✓ | 40.2% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)))) |
| ✓ | 97.8% | (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)))) |
| ✓ | 97.8% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) |
| ✓ | 96.4% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
| ▶ | 98.3% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x)))) |
| ✓ | 96.6% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
Compiled 152 to 111 computations (27% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f32 #s(literal 2 binary32)) | |
| cost-diff | 0 | (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) | |
| cost-diff | 0 | (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 159 |
| 0 | 37 | 159 |
| 1 | 67 | 159 |
| 2 | 117 | 149 |
| 3 | 244 | 139 |
| 4 | 621 | 139 |
| 5 | 1105 | 139 |
| 6 | 1600 | 139 |
| 7 | 2323 | 139 |
| 8 | 3771 | 139 |
| 9 | 5287 | 139 |
| 10 | 6698 | 139 |
| 11 | 7897 | 139 |
| 0 | 8017 | 138 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x)))) |
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(log.f32 #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
#s(literal 1/4 binary32) |
(*.f32 x x) |
x |
(-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x)) |
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) |
(/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x)) |
(/.f32 #s(literal 3/32 binary32) (*.f32 x x)) |
#s(literal 3/32 binary32) |
(log.f32 x) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))) |
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x))) |
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(log.f32 #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
#s(literal 1/4 binary32) |
(*.f32 x x) |
x |
(-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x)) |
(-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) |
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) |
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x)) |
(/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) |
(/.f32 #s(literal 3/32 binary32) (*.f32 x x)) |
#s(literal 3/32 binary32) |
(log.f32 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.32421875 | (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x))) | |
| accuracy | 0.7457495905026915 | (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) | |
| accuracy | 0.8778738617726748 | (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) | |
| accuracy | 1.043667414551557 | #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) |
| 108.0ms | 256× | 0 | valid |
Compiled 256 to 54 computations (78.9% saved)
ival-div: 8.0ms (24.7% of total)ival-log: 7.0ms (21.6% of total)ival-sub: 4.0ms (12.3% of total)const: 4.0ms (12.3% of total)ival-pow: 3.0ms (9.2% of total)ival-add: 2.0ms (6.2% of total)ival-mult: 2.0ms (6.2% of total)ival-sqrt: 2.0ms (6.2% 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 x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x)))) |
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(log.f32 #s(literal 2 binary32)) |
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
(/.f32 #s(literal 3/32 binary32) (*.f32 x x)) |
| Outputs |
|---|
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(/ -5/96 (pow x 6)) |
(/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6)) |
(/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6)) |
(/ -1/4 (pow x 2)) |
(/ (- (* (pow x 2) (log 2)) 1/4) (pow x 2)) |
(/ 5/96 (pow x 6)) |
(/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6)) |
(/ 1/4 (pow x 2)) |
(/ 3/32 (pow x 2)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(log 2) |
(- (log 2) (* 1/4 (/ 1 (pow x 2)))) |
(/ 3/32 (pow x 4)) |
(/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))) |
(- (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))) (* 1/4 (/ 1 (pow x 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 71.0ms | x | @ | 0 | ((log (+ x (sqrt (- (* x x) 1)))) (- (- (log 2) (/ 1/4 (* x x))) (- (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (log x))) (- (log 2) (/ 1/4 (* x x))) (log 2) (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/ 1/4 (* x x)) (/ 3/32 (* x x))) |
| 3.0ms | x | @ | -inf | ((log (+ x (sqrt (- (* x x) 1)))) (- (- (log 2) (/ 1/4 (* x x))) (- (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (log x))) (- (log 2) (/ 1/4 (* x x))) (log 2) (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/ 1/4 (* x x)) (/ 3/32 (* x x))) |
| 3.0ms | x | @ | inf | ((log (+ x (sqrt (- (* x x) 1)))) (- (- (log 2) (/ 1/4 (* x x))) (- (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (log x))) (- (log 2) (/ 1/4 (* x x))) (log 2) (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/ 1/4 (* x x)) (/ 3/32 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 409 |
| 1 | 283 | 389 |
| 2 | 767 | 382 |
| 3 | 2001 | 376 |
| 4 | 5436 | 376 |
| 0 | 8335 | 365 |
| 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))))) |
(/ -5/96 (pow x 6)) |
(/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6)) |
(/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6)) |
(/ -1/4 (pow x 2)) |
(/ (- (* (pow x 2) (log 2)) 1/4) (pow x 2)) |
(/ 5/96 (pow x 6)) |
(/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6)) |
(/ 1/4 (pow x 2)) |
(/ 3/32 (pow x 2)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(log 2) |
(- (log 2) (* 1/4 (/ 1 (pow x 2)))) |
(/ 3/32 (pow x 4)) |
(/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))) |
(- (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))) (* 1/4 (/ 1 (pow x 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 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) x #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 (*.f32 #s(literal 3/40 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) x #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))) |
(/ -5/96 (pow x 6)) |
(/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32))) |
(/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6)) |
(/.f32 (fma.f32 #s(literal -3/32 binary32) (*.f32 x x) #s(literal -5/96 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6)) |
(/.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) #s(literal -3/32 binary32)) (*.f32 x x) #s(literal -5/96 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6)) |
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (fma.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (pow.f32 x #s(literal 4 binary32)) #s(literal -3/32 binary32))) (*.f32 x x) #s(literal -5/96 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(/ -1/4 (pow x 2)) |
(/.f32 #s(literal -1/4 binary32) (*.f32 x x)) |
(/ (- (* (pow x 2) (log 2)) 1/4) (pow x 2)) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(/ 5/96 (pow x 6)) |
(/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) |
(/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6)) |
(/.f32 (fma.f32 (*.f32 x x) #s(literal 3/32 binary32) #s(literal 5/96 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(/ 1/4 (pow x 2)) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
(/ 3/32 (pow x 2)) |
(/.f32 #s(literal 3/32 binary32) (*.f32 x x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x)) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 x))) |
(log 2) |
(log.f32 #s(literal 2 binary32)) |
(- (log 2) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(/ 3/32 (pow x 4)) |
(/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) |
(/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(+ (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 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.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))) |
(+ (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) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))) |
(-.f32 (+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x)) |
(- (+ (log -1) (+ (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 #s(literal -1 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) 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 #s(literal 2 binary32)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 117 |
| 0 | 37 | 105 |
| 1 | 180 | 105 |
| 2 | 1517 | 105 |
| 0 | 9367 | 98 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x)))) |
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(log.f32 #s(literal 2 binary32)) |
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
(/.f32 #s(literal 3/32 binary32) (*.f32 x x)) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)))) |
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(/.f32 (-.f32 (*.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (*.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (*.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal -6 binary32))))) (pow.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))))) (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal -6 binary32))))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 #s(literal 2 binary32)))) |
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal -6 binary32)))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32))))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal -6 binary32)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 #s(literal 2 binary32))) (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal -6 binary32)))))) |
(-.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 #s(literal 2 binary32))))) |
(-.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal -6 binary32))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 2 binary32))) |
(fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) |
(fma.f32 #s(literal 1/4 binary32) (neg.f32 (pow.f32 x #s(literal -2 binary32))) (log.f32 #s(literal 2 binary32))) |
(pow.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 #s(literal 2 binary32))) (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal -6 binary32))))) #s(literal -1 binary32)) |
(+.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32))) (log.f32 #s(literal 2 binary32))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)))) |
(log.f32 #s(literal 2 binary32)) |
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/4 binary32) x)) |
(*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)) |
(*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x))) |
(*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x)) (neg.f32 x)) |
(/.f32 (/.f32 #s(literal 1/4 binary32) x) x) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)))) |
(/.f32 #s(literal -1/4 binary32) (*.f32 (neg.f32 x) x)) |
(/.f32 #s(literal 1/4 binary32) (neg.f32 (*.f32 (neg.f32 x) x))) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/4 binary32) x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 4 binary32))) |
(pow.f32 (/.f32 x (/.f32 #s(literal 1/4 binary32) x)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32))) #s(literal -1 binary32))) |
(neg.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 3/32 binary32) x)) |
(*.f32 (/.f32 #s(literal 3/32 binary32) x) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/32 binary32)) |
(*.f32 #s(literal -3/32 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x))) |
(*.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal -2 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/32 binary32) (*.f32 x x))) |
(/.f32 (neg.f32 (/.f32 #s(literal 3/32 binary32) x)) (neg.f32 x)) |
(/.f32 (/.f32 #s(literal 3/32 binary32) x) x) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 x x) #s(literal 32/3 binary32)))) |
(/.f32 #s(literal -3/32 binary32) (*.f32 (neg.f32 x) x)) |
(/.f32 #s(literal 3/32 binary32) (neg.f32 (*.f32 (neg.f32 x) x))) |
(/.f32 #s(literal 3/32 binary32) (*.f32 x x)) |
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 3/32 binary32) x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 32/3 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 32/3 binary32))) |
(pow.f32 (/.f32 x (/.f32 #s(literal 3/32 binary32) x)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 32/3 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (*.f32 x x) #s(literal 32/3 binary32)) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 x x) #s(literal 32/3 binary32))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal -3/32 binary32) (*.f32 x x))) |
Compiled 25 425 to 1 214 computations (95.2% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 254 | 1 | 255 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 254 | 10 | 264 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 26.7% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ✓ | 55.8% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ✓ | 39.9% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)))) |
| ✓ | 97.8% | (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)))) |
| ✓ | 97.8% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) |
| ✓ | 96.4% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
| 42.7% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f32 (-.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))))) (*.f32 (+.f32 (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) #s(literal 2 binary32)))) (*.f32 (+.f32 (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))) (+.f32 (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))))))) | |
| ✓ | 98.3% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x)))) |
| ✓ | 96.6% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
Compiled 692 to 236 computations (65.9% saved)
| Inputs |
|---|
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.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)))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)))) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.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)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f32 (-.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))))) (*.f32 (+.f32 (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) #s(literal 2 binary32)))) (*.f32 (+.f32 (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32)))) (+.f32 (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)) (fma.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 #s(literal 2 binary32))))))) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.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)))) |
3 calls:
| 20.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 4.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | x |
| 98.6% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 98.6% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.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)))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)))) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 x)))) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x)))) |
3 calls:
| 3.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 3.0ms | x |
| 3.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | x |
| 98.3% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 98.3% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.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)))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)))) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
| Outputs |
|---|
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
3 calls:
| 16.0ms | (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 -28.6b remaining (-2495.2%)
Threshold costs -28.6b (-2495.2%)
| Inputs |
|---|
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.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)))) |
| Outputs |
|---|
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
3 calls:
| 2.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 1.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | x |
| 96.4% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 96.4% | 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 | 43 | 104 |
| 1 | 60 | 104 |
| 2 | 90 | 104 |
| 3 | 128 | 104 |
| 4 | 174 | 104 |
| 5 | 209 | 104 |
| 6 | 282 | 104 |
| 7 | 558 | 104 |
| 8 | 864 | 104 |
| 9 | 889 | 104 |
| 10 | 915 | 104 |
| 11 | 946 | 104 |
| 12 | 979 | 104 |
| 13 | 1000 | 104 |
| 14 | 1020 | 104 |
| 15 | 1023 | 104 |
| 16 | 1029 | 104 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.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)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 x)))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.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)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 #s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (/.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) (*.f32 x x))) (log.f32 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)) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 223 |
| 0 | 59 | 217 |
| 1 | 257 | 217 |
| 2 | 2042 | 217 |
| 0 | 8867 | 201 |
| 0 | 206 | 771 |
| 1 | 546 | 739 |
| 2 | 1532 | 720 |
| 3 | 4525 | 699 |
| 0 | 8237 | 670 |
| 0 | 150 | 519 |
| 1 | 411 | 493 |
| 2 | 1146 | 486 |
| 3 | 3331 | 448 |
| 4 | 7980 | 448 |
| 0 | 8533 | 426 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 147 to 83 computations (43.5% saved)
Compiled 250 to 124 computations (50.4% saved)
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