Rust f32::acosh
Time bar (total: 6.7s)
| 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)
| 721.0ms | 8 256× | 0 | valid |
ival-acosh: 435.0ms (82.4% of total)ival->=: 83.0ms (15.7% of total)exact: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 123 | 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 | 123 | 0 |
| ↳ | (*.f32 x x) | overflow | 123 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 123 | |
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 | 123 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 123 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 123 | 0 |
| - | 0 | 133 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 123 | 0 | 0 |
| - | 0 | 0 | 133 |
| number | freq |
|---|---|
| 0 | 133 |
| 1 | 120 |
| 2 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 512× | 0 | valid |
Compiled 112 to 32 computations (71.4% saved)
ival-log: 5.0ms (28.4% of total)ival-mult: 3.0ms (17.1% of total)ival-sqrt: 3.0ms (17.1% of total)ival-sub: 2.0ms (11.4% of total)ival-add: 2.0ms (11.4% 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 |
|---|---|---|
| ▶ | 55.0% | (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 | 0.00390625 | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | |
| accuracy | 0.0234375 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) | |
| accuracy | 0.3702271297542806 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) | |
| accuracy | 13.25240598129534 | (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
| 15.0ms | 256× | 0 | valid |
Compiled 68 to 16 computations (76.5% saved)
ival-sqrt: 3.0ms (31.7% of total)ival-log: 2.0ms (21.1% of total)ival-mult: 2.0ms (21.1% of total)ival-sub: 1.0ms (10.6% of total)ival-add: 1.0ms (10.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f32 (*.f32 x x) #s(literal 1 binary32)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
| Outputs |
|---|
-1 |
(- (pow x 2) 1) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(* -1 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) |
| 1.0ms | x | @ | inf | ((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) |
| 1.0ms | x | @ | -inf | ((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 519 |
| 1 | 411 | 493 |
| 2 | 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 | 28 |
| 0 | 12 | 28 |
| 1 | 49 | 28 |
| 2 | 322 | 28 |
| 3 | 3626 | 28 |
| 0 | 8646 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 (*.f32 x x) #s(literal 1 binary32)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
| Outputs |
|---|
(expm1.f32 (*.f32 (log.f32 (*.f32 x x)) #s(literal 1 binary32))) |
(expm1.f32 (log.f32 (*.f32 x x))) |
(*.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (*.f32 x x))))) |
(*.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))))))) |
(*.f32 (exp.f32 (log1p.f32 x)) (exp.f32 (log.f32 (-.f32 x #s(literal 1 binary32))))) |
(*.f32 (exp.f32 (log.f32 (-.f32 x #s(literal 1 binary32)))) (exp.f32 (log1p.f32 x))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 8 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32)))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) |
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) |
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) |
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) |
(*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 x #s(literal 1 binary32))) |
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x))))) |
(*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) |
(sqrt.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) (exp.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))))))) |
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (log1p.f32 (*.f32 x x)))) |
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (log.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x)))))) |
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (fma.f32 x x (+.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (+.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32)))) |
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 x x (+.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) x)) |
(/.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x)) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -2 binary32))) (+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -2 binary32))) (+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 12 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -3 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -2 binary32)) (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -2 binary32)) (*.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))) |
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (+.f32 #s(literal 1 binary32) x))) |
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x (+.f32 #s(literal 1 binary32) x)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x x #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (*.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) |
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(*.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 9/2 binary32)) (pow.f32 x #s(literal 9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (pow.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #s(literal 3 binary32)))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32)) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32))) (fma.f32 x (/.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32))) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))) |
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)))) (neg.f32 (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 9/2 binary32)) (pow.f32 x #s(literal 9 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (pow.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #s(literal 3 binary32))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) (pow.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32))))) |
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 9/2 binary32)) (pow.f32 x #s(literal 9 binary32))) (*.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (pow.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #s(literal 3 binary32))))) |
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))) |
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(-.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)))) (fma.f32 x x (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1/2 binary32)) x) |
(fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x) |
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x) |
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(fma.f32 #s(literal 1 binary32) x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(fma.f32 x (/.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(fma.f32 x #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(pow.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal -1 binary32)) |
(+.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) |
(neg.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(neg.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1/2 binary32))) |
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) |
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 (exp.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(/.f32 (exp.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))))))) |
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x))))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 4 binary32)) #s(literal 1/8 binary32)) |
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) |
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)) |
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(exp.f32 (-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/4 binary32))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
Compiled 8 208 to 1 577 computations (80.8% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 348 | 9 | 357 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 348 | 10 | 358 |
| Status | Accuracy | Program |
|---|---|---|
| 28.3% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) | |
| 7.0% | (log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 18 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 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32)))))))) | |
| ✓ | 55.0% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ▶ | 55.0% | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) |
| ▶ | 97.6% | (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)))) | |
| ▶ | 95.8% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
| ▶ | 98.5% | #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)))) |
| ▶ | 97.7% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
| 96.1% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
Compiled 343 to 255 computations (25.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f32 x) | |
| cost-diff | 0 | (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) | |
| cost-diff | 0 | (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) | |
| cost-diff | 0 | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) | |
| cost-diff | 64 | (*.f32 (+.f32 #s(literal 1 binary32) x) x) | |
| cost-diff | 160 | (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) | |
| cost-diff | 192 | (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) | |
| 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 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 | 44 | 323 |
| 0 | 70 | 307 |
| 1 | 107 | 298 |
| 2 | 180 | 298 |
| 3 | 343 | 297 |
| 4 | 815 | 297 |
| 5 | 1546 | 297 |
| 6 | 2831 | 297 |
| 7 | 4192 | 297 |
| 8 | 5309 | 297 |
| 9 | 6585 | 297 |
| 10 | 7309 | 297 |
| 11 | 7893 | 297 |
| 0 | 8053 | 285 |
| 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 (+.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 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) |
(+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))) |
x |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) |
(*.f32 (+.f32 #s(literal 1 binary32) x) x) |
(+.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
(*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(log.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) |
| 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 (+.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 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) 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 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
x |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) |
(fma.f32 x x #s(literal -1 binary32)) |
(*.f32 (+.f32 #s(literal 1 binary32) x) x) |
(fma.f32 x x x) |
(+.f32 #s(literal 1 binary32) x) |
(-.f32 x #s(literal -1 binary32)) |
#s(literal 1 binary32) |
(*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) |
(-.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(log.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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) | |
| accuracy | 0.26171875 | (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) | |
| accuracy | 0.4550487312957371 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) | |
| accuracy | 0.6755415980652936 | (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) | |
| accuracy | 0.0234375 | (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))) | |
| accuracy | 0.053066259768442016 | (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) | |
| accuracy | 0.3702271297542806 | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) | |
| accuracy | 13.25240598129534 | (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))) | |
| accuracy | 0.0078125 | (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) | |
| accuracy | 0.0234375 | (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) | |
| accuracy | 0.3702271297542806 | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) | |
| accuracy | 0.5431129683633906 | #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) | |
| accuracy | 0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0.3702271297542806 | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) | |
| accuracy | 1.1562398297688528 | #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) | |
| accuracy | 0.3125 | (-.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 | 0.4307087780238868 | (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) | |
| accuracy | 0.6014888485572002 | (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) | |
| accuracy | 0.6755415980652936 | (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
| 94.0ms | 256× | 0 | valid |
Compiled 586 to 83 computations (85.8% saved)
ival-mult: 26.0ms (32.7% of total)ival-add: 21.0ms (26.4% of total)ival-log: 9.0ms (11.3% of total)ival-div: 6.0ms (7.6% of total)ival-sub: 6.0ms (7.6% of total)const: 4.0ms (5% of total)ival-sqrt: 3.0ms (3.8% of total)ival-pow: 3.0ms (3.8% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.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 (+.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)) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) |
(*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) |
(*.f32 (+.f32 #s(literal 1 binary32) x) x) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(log.f32 x) |
(/.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))) |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))) |
(+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 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) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(/ -1/2 x) |
(/ (- (pow x 2) 1/2) x) |
-1 |
(- (pow x 2) 1) |
(- (* -1 x) 1) |
x |
(* x (+ 1 x)) |
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2)) |
(+ (log 2) (log x)) |
(log x) |
(/ 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 (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(/ 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 (* 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))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | 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))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (+ (* (+ 1 x) x) (* (+ 1 x) -1)) (* (+ 1 x) -1) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log x) (/ 1/4 (* x x)) (/ 5/96 (* x x)) (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) |
| 24.0ms | 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))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (+ (* (+ 1 x) x) (* (+ 1 x) -1)) (* (+ 1 x) -1) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log x) (/ 1/4 (* x x)) (/ 5/96 (* x x)) (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) |
| 21.0ms | 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))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (+ (* (+ 1 x) x) (* (+ 1 x) -1)) (* (+ 1 x) -1) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log x) (/ 1/4 (* x x)) (/ 5/96 (* x x)) (/ (+ (/ 5/96 (* x x)) 3/32) (pow x 4)) (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 799 |
| 1 | 563 | 764 |
| 2 | 1569 | 724 |
| 3 | 5838 | 714 |
| 0 | 8294 | 684 |
| 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) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(/ -1/2 x) |
(/ (- (pow x 2) 1/2) x) |
-1 |
(- (pow x 2) 1) |
(- (* -1 x) 1) |
x |
(* x (+ 1 x)) |
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2)) |
(+ (log 2) (log x)) |
(log x) |
(/ 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 (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(/ 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 (* 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))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
| Outputs |
|---|
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))) |
(/ -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 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
(* 2 x) |
(*.f32 #s(literal 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 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/16 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))) |
(/ -1/2 x) |
(/.f32 #s(literal -1/2 binary32) x) |
(/ (- (pow x 2) 1/2) x) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
-1 |
#s(literal -1 binary32) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(- (* -1 x) 1) |
(-.f32 #s(literal -1 binary32) x) |
x |
(* x (+ 1 x)) |
(fma.f32 x x x) |
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (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) (log x)) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(log x) |
(log.f32 x) |
(/ 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))))) |
(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 (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f32 #s(literal -1 binary32) x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* -1 (log (/ 1 x))) |
(log.f32 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 -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 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) 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)))))) |
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (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 x)) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 262 |
| 0 | 70 | 243 |
| 1 | 288 | 234 |
| 2 | 2639 | 234 |
| 0 | 10080 | 214 |
| 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 (+.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)) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) |
(*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) |
(*.f32 (+.f32 #s(literal 1 binary32) x) x) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(log.f32 x) |
(/.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))) |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))) |
(+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 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)))))))) |
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(*.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))) |
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))) |
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (+.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))) |
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))))) |
(-.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(fma.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) |
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 x #s(literal -1 binary32))))) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x) |
(fma.f32 (hypot.f32 (pow.f32 (fma.f32 x x x) #s(literal 3/2 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) x #s(literal -1 binary32)) #s(literal 3/2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1 binary32) x #s(literal -1 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) x #s(literal -1 binary32)) (fma.f32 x x x)) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))))) x) |
(fma.f32 (hypot.f32 (pow.f32 (fma.f32 x x x) #s(literal 3/2 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) x #s(literal -1 binary32)) #s(literal 3/2 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1 binary32) x #s(literal -1 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) x #s(literal -1 binary32)) (fma.f32 x x x)) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) #s(literal 1/2 binary32)) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) x) |
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1/2 binary32)) x) |
(fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x) |
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x) |
(fma.f32 #s(literal 1 binary32) x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(fma.f32 x #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(pow.f32 (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
Compiled 26 093 to 3 321 computations (87.3% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 763 | 6 | 769 |
| Fresh | 4 | 0 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 769 | 10 | 779 |
| Status | Accuracy | Program |
|---|---|---|
| 28.9% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))))) | |
| ✓ | 55.0% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ▶ | 51.9% | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)))))) |
| ▶ | 55.0% | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))) |
| ✓ | 97.6% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
| ▶ | 43.7% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
| ✓ | 95.8% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
| ✓ | 98.5% | #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)))) |
| ▶ | 98.5% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
| ▶ | 97.4% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
Compiled 312 to 226 computations (27.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 64 | (*.f32 (+.f32 #s(literal 1 binary32) x) x) | |
| cost-diff | 192 | (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 224 | (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) | |
| cost-diff | 544 | (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)) | |
| cost-diff | 0 | (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))) | |
| cost-diff | 0 | (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))) | |
| cost-diff | 0 | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))) | |
| cost-diff | 64 | (*.f32 (+.f32 #s(literal 1 binary32) x) x) | |
| cost-diff | 0 | (*.f32 #s(literal 2 binary32) x) | |
| cost-diff | 0 | (log.f32 (*.f32 #s(literal 2 binary32) x)) | |
| cost-diff | 0 | (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) | |
| cost-diff | 0 | #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) | |
| cost-diff | 0 | #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) | |
| cost-diff | 0 | (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) | |
| cost-diff | 0 | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) | |
| cost-diff | 0 | (log.f32 (/.f32 #s(literal 1/2 binary32) x)) | |
| cost-diff | 0 | (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) | |
| cost-diff | 64 | (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 377 |
| 0 | 75 | 359 |
| 1 | 111 | 344 |
| 2 | 167 | 342 |
| 3 | 278 | 337 |
| 4 | 533 | 337 |
| 5 | 1495 | 307 |
| 6 | 4090 | 307 |
| 7 | 6442 | 307 |
| 8 | 7825 | 307 |
| 0 | 8169 | 291 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(log.f32 (/.f32 #s(literal 1/2 binary32) x)) |
(/.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
x |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
#s(literal 1/4 binary32) |
(*.f32 x x) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) |
x |
#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) |
#s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(log.f32 (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
#s(literal 1/4 binary32) |
(*.f32 x x) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))) |
(+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))) |
x |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))) |
(*.f32 (+.f32 #s(literal 1 binary32) x) x) |
(+.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
#s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)) |
(-.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)))))) |
(+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))))) |
x |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))) |
(*.f32 (+.f32 #s(literal 1 binary32) x) x) |
(+.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
#s(literal -1 binary32) |
(-.f32 #s(literal 1 binary32) x) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(log.f32 (/.f32 #s(literal 1/2 binary32) x)) |
(/.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
x |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
#s(literal 1/4 binary32) |
(*.f32 x x) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(log.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) x)) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) |
(+.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) x) |
x |
#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) |
#s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(log.f32 (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
#s(literal 1/4 binary32) |
(*.f32 x x) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) x #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))) x)) |
(+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))) |
(+.f32 (sqrt.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) x #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))) x) |
x |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))) |
(sqrt.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) x #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))) |
(fma.f32 (-.f32 x #s(literal -1 binary32)) x #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))) |
(*.f32 (+.f32 #s(literal 1 binary32) x) x) |
(fma.f32 x x x) |
(+.f32 #s(literal 1 binary32) x) |
(-.f32 x #s(literal -1 binary32)) |
#s(literal 1 binary32) |
#s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)) |
(-.f32 #s(literal -1 binary32) x) |
#s(literal -1 binary32) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
x |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)))) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))) |
(fma.f32 x x #s(literal -1 binary32)) |
(*.f32 (+.f32 #s(literal 1 binary32) x) x) |
(fma.f32 x x x) |
(+.f32 #s(literal 1 binary32) x) |
(-.f32 x #s(literal -1 binary32)) |
#s(literal 1 binary32) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)) |
(-.f32 #s(literal -1 binary32) x) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) |
(fma.f32 x x #s(literal -1 binary32)) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
#s(literal -1 binary32) |
(-.f32 #s(literal 1 binary32) x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.053066259768442016 | (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))) | |
| accuracy | 0.3702271297542806 | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)))))) | |
| accuracy | 13.25240598129534 | (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)))) | |
| accuracy | 13.27974973129534 | (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 0.0234375 | (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))) | |
| accuracy | 0.053066259768442016 | (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))) | |
| accuracy | 0.3702271297542806 | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))) | |
| accuracy | 13.25240598129534 | (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))) | |
| accuracy | 0.03125 | (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) | |
| accuracy | 0.3506958797542806 | (log.f32 (*.f32 #s(literal 2 binary32) x)) | |
| accuracy | 0.4550487312957371 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) | |
| accuracy | 0.6755415980652936 | (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) | |
| accuracy | 0.0234375 | (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) | |
| accuracy | 0.3702271297542806 | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) | |
| accuracy | 0.5431129683633906 | #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) | |
| accuracy | 30.982465656456352 | #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) | |
| accuracy | 0.01953125 | (log.f32 (/.f32 #s(literal 1/2 binary32) x)) | |
| accuracy | 0.03125 | (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) | |
| accuracy | 0.4550487312957371 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) | |
| accuracy | 0.6755415980652936 | (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
| 203.0ms | 256× | 0 | valid |
Compiled 679 to 91 computations (86.6% saved)
ival-add: 120.0ms (69% of total)ival-div: 22.0ms (12.6% of total)ival-log: 11.0ms (6.3% of total)ival-mult: 7.0ms (4% of total)ival-sub: 7.0ms (4% of total)ival-sqrt: 5.0ms (2.9% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(log.f32 (/.f32 #s(literal 1/2 binary32) x)) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) |
#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) |
#s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(log.f32 (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 (+.f32 #s(literal 1 binary32) x) x) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))) |
(+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))) |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))) |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)))) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)))))) |
| Outputs |
|---|
(/ -1/4 (pow x 2)) |
(/ (- (* -1 (* (pow x 2) (+ (log 1/2) (* -1 (log x))))) 1/4) (pow x 2)) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(* -1 (+ (log 1/2) (* -1 (log x)))) |
(+ (log 1/2) (* -1 (log x))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(/ -1/2 x) |
(/ (- (pow x 2) 1/2) x) |
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2)) |
(+ (log 2) (log x)) |
(* 2 x) |
x |
(* x (+ 1 x)) |
-1 |
(- (* -1 x) 1) |
(- (pow x 2) 1) |
(/ 1/4 (pow x 2)) |
(* -1 (+ (log 1/2) (log (/ 1 x)))) |
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 1/2) (log (/ 1 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 (- 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 x))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 (+ (log -1/2) (log (/ -1 x)))) |
(* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 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 (* 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))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 65.0ms | x | @ | -inf | ((- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (log (+ x (sqrt (- (* x x) 1)))) (neg (log (/ 1/2 x))) (log (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (- (log (* 2 x)) (/ 1/4 (* x x))) (log (* 2 x)) (* 2 x) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1)))) (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (/ (* (- 1 (* x x)) -1) (- 1 x)) (* (- 1 (* x x)) -1) (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x))) (/ 1/4 (* x x)) (+ (* (+ 1 x) x) (* (+ 1 x) -1)) (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x)))) (log (+ x (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x))))))) |
| 48.0ms | x | @ | 0 | ((- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (log (+ x (sqrt (- (* x x) 1)))) (neg (log (/ 1/2 x))) (log (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (- (log (* 2 x)) (/ 1/4 (* x x))) (log (* 2 x)) (* 2 x) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1)))) (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (/ (* (- 1 (* x x)) -1) (- 1 x)) (* (- 1 (* x x)) -1) (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x))) (/ 1/4 (* x x)) (+ (* (+ 1 x) x) (* (+ 1 x) -1)) (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x)))) (log (+ x (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x))))))) |
| 16.0ms | x | @ | inf | ((- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (log (+ x (sqrt (- (* x x) 1)))) (neg (log (/ 1/2 x))) (log (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (log (+ x (sqrt (- (* x x) 1)))) (- (log (* 2 x)) (/ 1/4 (* x x))) (log (* 2 x)) (* 2 x) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1)))) (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (/ (* (- 1 (* x x)) -1) (- 1 x)) (* (- 1 (* x x)) -1) (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x))) (/ 1/4 (* x x)) (+ (* (+ 1 x) x) (* (+ 1 x) -1)) (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x)))) (log (+ x (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 686 |
| 1 | 547 | 650 |
| 2 | 1539 | 601 |
| 3 | 5710 | 595 |
| 0 | 8291 | 572 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1/4 (pow x 2)) |
(/ (- (* -1 (* (pow x 2) (+ (log 1/2) (* -1 (log x))))) 1/4) (pow x 2)) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(* -1 (+ (log 1/2) (* -1 (log x)))) |
(+ (log 1/2) (* -1 (log x))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(/ -1/2 x) |
(/ (- (pow x 2) 1/2) x) |
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2)) |
(+ (log 2) (log x)) |
(* 2 x) |
x |
(* x (+ 1 x)) |
-1 |
(- (* -1 x) 1) |
(- (pow x 2) 1) |
(/ 1/4 (pow x 2)) |
(* -1 (+ (log 1/2) (log (/ 1 x)))) |
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 1/2) (log (/ 1 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 (- 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 x))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 (+ (log -1/2) (log (/ -1 x)))) |
(* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 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 (* 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))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
| Outputs |
|---|
(/ -1/4 (pow x 2)) |
(/.f32 #s(literal -1/4 binary32) (*.f32 x x)) |
(/ (- (* -1 (* (pow x 2) (+ (log 1/2) (* -1 (log x))))) 1/4) (pow x 2)) |
(-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))) |
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))) |
(* -1 (+ (log 1/2) (* -1 (log x)))) |
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) |
(+ (log 1/2) (* -1 (log x))) |
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ x (sqrt -1)) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/16 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))) |
(/ -1/2 x) |
(/.f32 #s(literal -1/2 binary32) x) |
(/ (- (pow x 2) 1/2) x) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (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) (log x)) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
x |
(* x (+ 1 x)) |
(fma.f32 x x x) |
-1 |
#s(literal -1 binary32) |
(- (* -1 x) 1) |
(-.f32 #s(literal -1 binary32) x) |
(- (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)) |
(* -1 (+ (log 1/2) (log (/ 1 x)))) |
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) |
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x)) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x))) |
(+ (log 1/2) (log (/ 1 x))) |
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal -1/2 binary32) x)) |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f32 #s(literal -1 binary32) x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(* -1 (+ (log -1/2) (log (/ -1 x)))) |
(-.f32 (neg.f32 (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 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)) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(/ 1/2 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 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) 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)))))) |
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (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 x)) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 292 |
| 0 | 75 | 295 |
| 1 | 283 | 248 |
| 2 | 2317 | 248 |
| 0 | 8644 | 231 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) |
(log.f32 (/.f32 #s(literal 1/2 binary32) x)) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) |
#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) |
#s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(log.f32 (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 (+.f32 #s(literal 1 binary32) x) x) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))) |
(+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))))) |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))) |
(/.f32 #s(literal 1/4 binary32) (*.f32 x x)) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x))) |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)))) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)))))) |
| Outputs |
|---|
(*.f32 (-.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (log.f32 (*.f32 #s(literal 2 binary32) x))))) |
(*.f32 (-.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 6 binary32))) (/.f32 #s(literal 1 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 (*.f32 #s(literal 2 binary32) x))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))) |
(/.f32 (fma.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x)) (log.f32 (/.f32 #s(literal 1/2 binary32) x)) (*.f32 x (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))) (*.f32 x (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
(/.f32 (fma.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x)) (log.f32 (/.f32 #s(literal 2 binary32) x)) (*.f32 x (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))) (*.f32 x (log.f32 (/.f32 #s(literal 2 binary32) x)))) |
(/.f32 (fma.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x)) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x))))) (*.f32 x (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32))))) (*.f32 x (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x))))))) |
(/.f32 (fma.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x)) (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 x (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))))) (*.f32 x (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 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (log.f32 (/.f32 #s(literal 1/2 binary32) x)) (*.f32 (neg.f32 x) (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))) (*.f32 (neg.f32 x) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (log.f32 (/.f32 #s(literal 2 binary32) x)) (*.f32 (neg.f32 x) (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 x) #s(literal 2 binary32))))) (*.f32 (neg.f32 x) (log.f32 (/.f32 #s(literal 2 binary32) x)))) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x))))) (*.f32 (neg.f32 x) (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 3 binary32))))) (*.f32 (neg.f32 x) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x))))))) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) x) (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 x) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))))) (*.f32 (neg.f32 x) (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 (fma.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) x)) (*.f32 (neg.f32 (*.f32 (neg.f32 x) x)) (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) #s(literal 2 binary32))))) (*.f32 (neg.f32 (*.f32 (neg.f32 x) x)) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
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(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) x) #s(literal 2 binary32))))) (sqrt.f32 (neg.f32 (-.f32 (fma.f32 x x x) (-.f32 #s(literal -1 binary32) x))))) |
(/.f32 (sqrt.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fma.f32 x x x) #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (fma.f32 (-.f32 #s(literal -1 binary32) x) (-.f32 (-.f32 #s(literal -1 binary32) x) (fma.f32 x x x)) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) x) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 (fma.f32 x x x) (-.f32 #s(literal -1 binary32) x)))) |
(/.f32 (hypot.f32 (pow.f32 (fma.f32 x x x) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) x) #s(literal 3/2 binary32))) (sqrt.f32 (+.f32 (pow.f32 (-.f32 #s(literal -1 binary32) x) #s(literal 2 binary32)) (-.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) x) (fma.f32 x x x)))))) |
(/.f32 (hypot.f32 (pow.f32 (fma.f32 x x x) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) x) #s(literal 3/2 binary32))) (sqrt.f32 (fma.f32 (-.f32 #s(literal -1 binary32) x) (-.f32 (-.f32 #s(literal -1 binary32) x) (fma.f32 x x x)) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 (fma.f32 x x x) (-.f32 #s(literal -1 binary32) x)) (-.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) x) #s(literal 2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (-.f32 #s(literal -1 binary32) x) (-.f32 (-.f32 #s(literal -1 binary32) x) (fma.f32 x x x)) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (+.f32 (pow.f32 (-.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) (pow.f32 (fma.f32 x x x) #s(literal 3 binary32)))))) |
(pow.f32 (pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) |
(pow.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))) #s(literal 1 binary32)) |
(pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)) #s(literal 1/2 binary32)) |
(fabs.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)))) |
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))) x)) |
(-.f32 (log.f32 (-.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)) (*.f32 x x))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))) x))) |
(-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))))) (log.f32 (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))) (*.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))) x))))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (-.f32 (fma.f32 x x (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))) (*.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))) x)))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)))) (-.f32 (*.f32 x x) (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (fma.f32 x x (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))) (*.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))) x)) (+.f32 (pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))))) |
(+.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))))))) |
(+.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))) (*.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))) x))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)))) (-.f32 (*.f32 x x) (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)))))) |
(neg.f32 (log.f32 (/.f32 (-.f32 (fma.f32 x x (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))) (*.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x))) x)) (+.f32 (pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (-.f32 #s(literal -1 binary32) x)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))))) |
Compiled 29 355 to 4 038 computations (86.2% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 834 | 2 | 836 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 835 | 11 | 846 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 28.9% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))))) |
| ✓ | 55.0% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ▶ | 51.9% | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))))) |
| ✓ | 55.0% | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))) |
| ✓ | 97.6% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
| ✓ | 43.7% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
| ✓ | 95.8% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
| ✓ | 98.5% | #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)))) |
| ✓ | 98.5% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
| ✓ | 97.4% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
| ▶ | 5.2% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
Compiled 216 to 156 computations (27.8% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))) | |
| cost-diff | 0 | (+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32)))))) | |
| cost-diff | 0 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))))) | |
| cost-diff | 64 | (-.f32 (*.f32 x x) #s(literal -1 binary32)) | |
| cost-diff | 0 | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))))) | |
| cost-diff | 64 | (*.f32 (+.f32 #s(literal 1 binary32) x) x) | |
| cost-diff | 192 | (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))) | |
| cost-diff | 608 | (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))) | |
| cost-diff | 0 | (*.f32 x x) | |
| cost-diff | 0 | (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) | |
| cost-diff | 0 | #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 259 |
| 0 | 58 | 259 |
| 1 | 91 | 259 |
| 2 | 141 | 257 |
| 3 | 258 | 257 |
| 4 | 516 | 257 |
| 5 | 1170 | 211 |
| 6 | 3489 | 211 |
| 7 | 6374 | 211 |
| 0 | 8158 | 194 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
#s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(/.f32 #s(literal -1/4 binary32) (*.f32 x x)) |
#s(literal -1/4 binary32) |
(*.f32 x x) |
x |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))))) |
(+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))))) |
x |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))) |
(*.f32 (+.f32 #s(literal 1 binary32) x) x) |
(+.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(-.f32 x #s(literal 1 binary32)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))))) |
(+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32)))))) |
x |
(sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))) |
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32)))) |
(/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(-.f32 (*.f32 x x) #s(literal -1 binary32)) |
(*.f32 x x) |
#s(literal -1 binary32) |
(/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))) |
#s(literal 1 binary32) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
#s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(/.f32 #s(literal -1/4 binary32) (*.f32 x x)) |
#s(literal -1/4 binary32) |
(*.f32 x x) |
x |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 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 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
x |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(*.f32 (+.f32 #s(literal 1 binary32) x) x) |
(fma.f32 x x x) |
(+.f32 #s(literal 1 binary32) x) |
(-.f32 x #s(literal -1 binary32)) |
#s(literal 1 binary32) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))) |
(-.f32 #s(literal -1 binary32) x) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(-.f32 x #s(literal 1 binary32)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))))) |
(log.f32 (+.f32 (sqrt.f32 (-.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))))) x)) |
(+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32)))))) |
(+.f32 (sqrt.f32 (-.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))))) x) |
x |
(sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))) |
(sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 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 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) |
(/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(-.f32 (*.f32 x x) #s(literal -1 binary32)) |
(fma.f32 x x #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal -1 binary32) |
(/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) |
#s(literal 1 binary32) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3702271297542806 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))))) | |
| accuracy | 0.8165305268703857 | (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))) | |
| accuracy | 13.25240598129534 | (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))) | |
| accuracy | 17.53154853315463 | (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) | |
| accuracy | 0.053066259768442016 | (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))) | |
| accuracy | 0.3702271297542806 | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))))) | |
| accuracy | 13.25240598129534 | (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))) | |
| accuracy | 13.27974973129534 | (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))) | |
| accuracy | 0 | (*.f32 x x) | |
| accuracy | 0.4550487312957371 | #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) | |
| accuracy | 0.6755415980652936 | (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) | |
| accuracy | 30.334751581118446 | #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
| 177.0ms | 256× | 0 | valid |
Compiled 496 to 76 computations (84.7% saved)
ival-div: 9.0ms (20.2% of total)ival-sub: 9.0ms (20.2% of total)ival-log: 9.0ms (20.2% of total)ival-add: 5.0ms (11.2% of total)ival-sqrt: 5.0ms (11.2% of total)ival-mult: 3.0ms (6.7% of total)ival-pow: 3.0ms (6.7% of total)exact: 1.0ms (2.2% of total)ival-neg: 1.0ms (2.2% 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)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
#s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(/.f32 #s(literal -1/4 binary32) (*.f32 x x)) |
(*.f32 x x) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))) |
(*.f32 (+.f32 #s(literal 1 binary32) x) x) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))))) |
(-.f32 (*.f32 x x) #s(literal -1 binary32)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))))) |
(+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32)))))) |
(sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))) |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))) |
(/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 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))))) |
(/ -1/4 (pow x 2)) |
(/ (- (* -1 (* (pow x 2) (+ (log 1/2) (* -1 (log x))))) 1/4) (pow x 2)) |
(pow x 2) |
-1 |
(- (* -1 x) 1) |
(- (pow x 2) 1) |
x |
(* x (+ 1 x)) |
1 |
(+ 1 (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)))))))) |
(+ (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 4) |
(* (pow x 4) (+ 1 (* -1 (pow x 2)))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))) |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (pow x 2) 1))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(* -1 (+ (log 1/2) (log (/ 1 x)))) |
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 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 (- 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) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))))) |
(/ 1 (pow x 2)) |
(/ (- 1 (/ 1 (pow x 2))) (pow x 2)) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2)) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2)) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(* -1 (+ (log -1/2) (log (/ -1 x)))) |
(* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(/ 1/2 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 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((log (+ x (sqrt (- (* x x) 1)))) (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/ -1/4 (* x x)) (* x x) (/ (- 1 (* x x)) (- x 1)) (+ (* (+ 1 x) x) (/ (- 1 (* x x)) (- x 1))) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (/ (- 1 (* x x)) (- x 1)))))) (- (* x x) -1) (log (+ x (sqrt (- (/ (pow x 4) (- (* x x) -1)) (/ 1 (- (* x x) -1)))))) (+ x (sqrt (- (/ (pow x 4) (- (* x x) -1)) (/ 1 (- (* x x) -1))))) (sqrt (- (/ (pow x 4) (- (* x x) -1)) (/ 1 (- (* x x) -1)))) (sqrt (+ (* (+ 1 x) x) (/ (- 1 (* x x)) (- x 1)))) (/ (pow x 4) (- (* x x) -1)) (/ 1 (- (* x x) -1))) |
| 4.0ms | x | @ | -inf | ((log (+ x (sqrt (- (* x x) 1)))) (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/ -1/4 (* x x)) (* x x) (/ (- 1 (* x x)) (- x 1)) (+ (* (+ 1 x) x) (/ (- 1 (* x x)) (- x 1))) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (/ (- 1 (* x x)) (- x 1)))))) (- (* x x) -1) (log (+ x (sqrt (- (/ (pow x 4) (- (* x x) -1)) (/ 1 (- (* x x) -1)))))) (+ x (sqrt (- (/ (pow x 4) (- (* x x) -1)) (/ 1 (- (* x x) -1))))) (sqrt (- (/ (pow x 4) (- (* x x) -1)) (/ 1 (- (* x x) -1)))) (sqrt (+ (* (+ 1 x) x) (/ (- 1 (* x x)) (- x 1)))) (/ (pow x 4) (- (* x x) -1)) (/ 1 (- (* x x) -1))) |
| 3.0ms | x | @ | 0 | ((log (+ x (sqrt (- (* x x) 1)))) (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/ -1/4 (* x x)) (* x x) (/ (- 1 (* x x)) (- x 1)) (+ (* (+ 1 x) x) (/ (- 1 (* x x)) (- x 1))) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (/ (- 1 (* x x)) (- x 1)))))) (- (* x x) -1) (log (+ x (sqrt (- (/ (pow x 4) (- (* x x) -1)) (/ 1 (- (* x x) -1)))))) (+ x (sqrt (- (/ (pow x 4) (- (* x x) -1)) (/ 1 (- (* x x) -1))))) (sqrt (- (/ (pow x 4) (- (* x x) -1)) (/ 1 (- (* x x) -1)))) (sqrt (+ (* (+ 1 x) x) (/ (- 1 (* x x)) (- x 1)))) (/ (pow x 4) (- (* x x) -1)) (/ 1 (- (* x x) -1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 797 |
| 1 | 582 | 764 |
| 2 | 1618 | 703 |
| 3 | 6220 | 700 |
| 0 | 8222 | 668 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(/ -1/4 (pow x 2)) |
(/ (- (* -1 (* (pow x 2) (+ (log 1/2) (* -1 (log x))))) 1/4) (pow x 2)) |
(pow x 2) |
-1 |
(- (* -1 x) 1) |
(- (pow x 2) 1) |
x |
(* x (+ 1 x)) |
1 |
(+ 1 (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)))))))) |
(+ (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 4) |
(* (pow x 4) (+ 1 (* -1 (pow x 2)))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))) |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (pow x 2) 1))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(* -1 (+ (log 1/2) (log (/ 1 x)))) |
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 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 (- 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) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))))) |
(/ 1 (pow x 2)) |
(/ (- 1 (/ 1 (pow x 2))) (pow x 2)) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2)) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2)) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(* -1 (+ (log -1/2) (log (/ -1 x)))) |
(* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(/ 1/2 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 (* 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 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))) |
(/ -1/4 (pow x 2)) |
(/.f32 #s(literal -1/4 binary32) (*.f32 x x)) |
(/ (- (* -1 (* (pow x 2) (+ (log 1/2) (* -1 (log x))))) 1/4) (pow x 2)) |
(-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))) |
(pow x 2) |
(*.f32 x x) |
-1 |
#s(literal -1 binary32) |
(- (* -1 x) 1) |
(-.f32 #s(literal -1 binary32) x) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
x |
(* x (+ 1 x)) |
(fma.f32 x x x) |
1 |
#s(literal 1 binary32) |
(+ 1 (pow x 2)) |
(fma.f32 x x #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 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/16 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))) |
(pow x 4) |
(pow.f32 x #s(literal 4 binary32)) |
(* (pow x 4) (+ 1 (* -1 (pow x 2)))) |
(*.f32 (-.f32 x (pow.f32 x #s(literal 3 binary32))) (pow.f32 x #s(literal 3 binary32))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) |
(*.f32 (fma.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) x) x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))) |
(*.f32 (fma.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (pow.f32 x #s(literal 4 binary32))) (*.f32 x x) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) |
(+ 1 (* -1 (pow x 2))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(+ 1 (* (pow x 2) (- (pow x 2) 1))) |
(fma.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) x) x #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))) |
(fma.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (pow.f32 x #s(literal 4 binary32))) (*.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))) |
(* -1 (+ (log 1/2) (log (/ 1 x)))) |
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) |
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f32 #s(literal -1 binary32) x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(* 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 (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2)))) |
(fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 x x) #s(literal -1 binary32)) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))))) |
(fma.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) x) x (fma.f32 (/.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 x x) #s(literal -1 binary32))) |
(/ 1 (pow x 2)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) x) |
(/ (- 1 (/ 1 (pow x 2))) (pow x 2)) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x) x) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2)) |
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (*.f32 x x)) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2)) |
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (*.f32 x x)) |
(+ (log -1/2) (log (/ -1 x))) |
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(* -1 (+ (log -1/2) (log (/ -1 x)))) |
(-.f32 (neg.f32 (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) 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)))))) |
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (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 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 196 |
| 0 | 58 | 160 |
| 1 | 263 | 158 |
| 2 | 2083 | 158 |
| 0 | 8851 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
#s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(/.f32 #s(literal -1/4 binary32) (*.f32 x x)) |
(*.f32 x x) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))) |
(*.f32 (+.f32 #s(literal 1 binary32) x) x) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))))) |
(-.f32 (*.f32 x x) #s(literal -1 binary32)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))))) |
(+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32)))))) |
(sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))) |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))) |
(/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal -1/4 binary32)))) |
#s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal -1/4 binary32))) |
(*.f32 (/.f32 #s(literal -1/4 binary32) x) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)) |
(*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal -1/4 binary32)) |
(*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))) |
(*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32))) |
(*.f32 #s(literal 1/4 binary32) (neg.f32 (pow.f32 x #s(literal -2 binary32)))) |
(*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x))) |
(*.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal -1/4 binary32))) |
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x))) (neg.f32 x)) |
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) x))) (neg.f32 (neg.f32 x))) |
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x)) (neg.f32 (neg.f32 x))) |
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) x)) x) |
(/.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) x)) (neg.f32 x)) |
(/.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 x (/.f32 #s(literal -1/4 binary32) x)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -4 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 x x) #s(literal -4 binary32)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 x x) #s(literal 4 binary32))) |
(/.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 1/4 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 binary32) (neg.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal -4 binary32))))) |
(/.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) (neg.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -4 binary32))) |
(-.f32 #s(literal 0 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 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 (neg.f32 (*.f32 (*.f32 x x) #s(literal 4 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 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))) |
(*.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(pow.f32 (*.f32 x x) #s(literal 1 binary32)) |
(pow.f32 x #s(literal 2 binary32)) |
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 x))) |
(*.f32 (pow.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (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 (pow.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x 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 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32)))) |
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))))) (fma.f32 (neg.f32 x) x #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))))) (neg.f32 (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal 1 binary32)))) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 x (/.f32 x (-.f32 x #s(literal 1 binary32))))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal -3 binary32)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal -3 binary32))))) (neg.f32 (+.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 (pow.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 x (/.f32 x (-.f32 x #s(literal 1 binary32))))))))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (neg.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))) |
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x x)))) (neg.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)) (*.f32 (neg.f32 x) x))) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)) (*.f32 x x))) (*.f32 (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))) |
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x x))) (*.f32 (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)) (/.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x x)))) |
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))) (*.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (neg.f32 x) x))) (*.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))) |
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 x #s(literal 1 binary32))) (*.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 x x))) (*.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))) |
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x x))) (*.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x x)))) |
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(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x x))) (*.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 x #s(literal 1 binary32)) (/.f32 (-.f32 x #s(literal 1 binary32)) (*.f32 x x)))) |
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(/.f32 (sqrt.f32 (-.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) (pow.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal -2 binary32)))) (sqrt.f32 (-.f32 (fma.f32 x x x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))))) |
(/.f32 (hypot.f32 (pow.f32 (fma.f32 x x x) #s(literal 3/2 binary32)) (pow.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal -3/2 binary32))) (sqrt.f32 (+.f32 (pow.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal -2 binary32)) (-.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) (*.f32 (fma.f32 x x x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))))))) |
(/.f32 (hypot.f32 (pow.f32 (fma.f32 x x x) #s(literal 3/2 binary32)) (pow.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal -3/2 binary32))) (sqrt.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))) (fma.f32 x x x)) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 (fma.f32 x x x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))) (-.f32 (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)) (pow.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal -2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))) (fma.f32 x x x)) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))) (+.f32 (pow.f32 (/.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal -3 binary32)) (pow.f32 (fma.f32 x x x) #s(literal 3 binary32)))))) |
(pow.f32 (pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))) #s(literal 2 binary32)) #s(literal 1/4 binary32)) |
(pow.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))) #s(literal 1 binary32)) |
(pow.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))) #s(literal 1/2 binary32)) |
(fabs.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32)))))) |
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))))) |
(*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (neg.f32 (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (pow.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (pow.f32 x #s(literal 4 binary32))) |
(*.f32 (pow.f32 x #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (*.f32 x x) (/.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 x #s(literal 4 binary32))))) (neg.f32 (neg.f32 (fma.f32 (neg.f32 x) x #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 (neg.f32 x) x #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (fma.f32 (neg.f32 x) x #s(literal -1 binary32)))) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1 binary32)) (fma.f32 (neg.f32 x) x #s(literal -1 binary32))) |
(/.f32 (neg.f32 (pow.f32 x #s(literal 4 binary32))) (fma.f32 (neg.f32 x) x #s(literal -1 binary32))) |
(/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal -4 binary32))) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal -4 binary32))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal -4 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal -4 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal -4 binary32)))) |
(pow.f32 (/.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal -4 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal -4 binary32))) #s(literal -1 binary32)) |
(exp.f32 (fma.f32 (log1p.f32 (*.f32 x x)) #s(literal -1 binary32) (*.f32 (log.f32 x) #s(literal 4 binary32)))) |
(exp.f32 (fma.f32 (log.f32 x) #s(literal 4 binary32) (neg.f32 (log1p.f32 (*.f32 x x))))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal -4 binary32)))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (neg.f32 (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32)))) |
(neg.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (neg.f32 x) x #s(literal -1 binary32)))) |
(*.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 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) (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (pow.f32 (/.f32 (-.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 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 x #s(literal 8 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -2 binary32)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -2 binary32)))))) |
(*.f32 (pow.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))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -2 binary32))) |
(*.f32 (pow.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))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #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 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (fma.f32 (neg.f32 x) x #s(literal -1 binary32))))) |
(/.f32 #s(literal -1 binary32) (fma.f32 (neg.f32 x) x #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (neg.f32 x) x #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) |
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 (fma.f32 (neg.f32 x) x #s(literal -1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) |
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1 binary32)) |
(exp.f32 (neg.f32 (log1p.f32 (*.f32 x x)))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x x #s(literal 1 binary32)))) |
Compiled 17 040 to 3 095 computations (81.8% saved)
14 alts after pruning (3 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 589 | 3 | 592 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 8 | 8 |
| Total | 589 | 14 | 603 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 28.9% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))))) |
| ✓ | 55.0% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ✓ | 51.9% | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))))) |
| ✓ | 55.0% | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))) |
| ✓ | 97.6% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
| ✓ | 43.7% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
| ✓ | 95.8% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
| ✓ | 98.5% | #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)))) |
| ✓ | 98.5% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
| ✓ | 97.4% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
| 5.2% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))) | |
| 5.2% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x))))) | |
| ✓ | 5.2% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
| 5.2% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))) |
Compiled 729 to 358 computations (50.9% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))))) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 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 (/.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.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 18 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 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 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:
| 11.0ms | x |
| 6.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 6.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 98.5% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))))) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 x #s(literal 1 binary32))))))) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal -1 binary32))))))) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
3 calls:
| 7.0ms | x |
| 6.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 5.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 98.5% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (* (+ 1 x) -1) (-.f32 #s(literal -1 binary32) x)))))) |
| Outputs |
|---|
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
3 calls:
| 5.0ms | x |
| 4.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 4.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | x |
| 97.6% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 97.6% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) |
| Outputs |
|---|
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
3 calls:
| 3.0ms | x |
| 3.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 3.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 1 | x |
| 95.8% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 95.8% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x))))) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
3 calls:
| 3.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 2.0ms | x |
| 2.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.2% | 1 | x |
| 5.2% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 5.2% | 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 | 46 | 109 |
| 1 | 64 | 109 |
| 2 | 92 | 109 |
| 3 | 129 | 109 |
| 4 | 170 | 109 |
| 5 | 204 | 109 |
| 6 | 277 | 109 |
| 7 | 561 | 109 |
| 8 | 867 | 109 |
| 9 | 890 | 109 |
| 10 | 910 | 109 |
| 11 | 938 | 109 |
| 12 | 969 | 109 |
| 13 | 991 | 109 |
| 14 | 1018 | 109 |
| 15 | 1024 | 109 |
| 16 | 1037 | 109 |
| 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 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x 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))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x 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 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (/.f32 (neg.f32 #s(literal 1/4 binary32)) (*.f32 x x)) (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(log.f32 (+.f32 #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))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (neg (log (/ 1/2 x))) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
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 |
| 0 | 44 | 262 |
| 0 | 70 | 243 |
| 1 | 288 | 234 |
| 2 | 2639 | 234 |
| 0 | 10080 | 214 |
| 0 | 191 | 686 |
| 1 | 547 | 650 |
| 2 | 1539 | 601 |
| 3 | 5710 | 595 |
| 0 | 8291 | 572 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 177 to 106 computations (40.1% saved)
Compiled 260 to 130 computations (50% saved)
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