
Time bar (total: 7.5s)
| 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)
| 394.0ms | 8 256× | 0 | valid |
ival-acosh: 178.0ms (75.6% of total)ival->=: 46.0ms (19.5% of total)exact: 7.0ms (3% of total)ival-assert: 4.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 125 | 0 | - | 0 | - | (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
| 2 | 0 | - | 0 | - | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 0 | 0 | - | 0 | - | (-.f32 (*.f32 x x) #s(literal 1 binary32)) |
| 0 | 0 | - | 0 | - | (*.f32 x x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f32 | (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) | oflow-rescue | 125 | 0 |
| ↳ | (*.f32 x x) | overflow | 125 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 125 | |
log.f32 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) | oflow-rescue | 2 | 0 |
| ↳ | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) | overflow | 2 | |
| ↳ | (*.f32 x x) | overflow | 125 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 125 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 125 | 0 |
| - | 0 | 131 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 125 | 0 | 0 |
| - | 0 | 0 | 131 |
| number | freq |
|---|---|
| 0 | 131 |
| 1 | 123 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 512× | 0 | valid |
Compiled 112 to 32 computations (71.4% saved)
ival-log: 12.0ms (46.3% of total)ival-mult: 4.0ms (15.4% of total)ival-sqrt: 4.0ms (15.4% of total)ival-add: 3.0ms (11.6% of total)ival-sub: 2.0ms (7.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 1 | 10 | 7 |
| 2 | 14 | 7 |
| 3 | 17 | 7 |
| 4 | 21 | 7 |
| 5 | 28 | 7 |
| 6 | 35 | 7 |
| 0 | 7 | 9 |
| 0 | 12 | 9 |
| 1 | 21 | 9 |
| 2 | 25 | 9 |
| 3 | 40 | 9 |
| 4 | 71 | 9 |
| 5 | 132 | 9 |
| 6 | 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 |
|---|---|---|
| ▶ | 54.2% | (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 | 0.0078125 | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | |
| accuracy | 0.0390625 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) | |
| accuracy | 0.24161011089591655 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) | |
| accuracy | 13.500097013275997 | (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
| 16.0ms | 256× | 0 | valid |
Compiled 68 to 16 computations (76.5% saved)
ival-log: 4.0ms (37.3% of total)ival-mult: 2.0ms (18.7% of total)ival-sqrt: 2.0ms (18.7% of total)ival-sub: 1.0ms (9.3% of total)ival-add: 1.0ms (9.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ()) |
#s(alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt -1 (taylor 0 x) (#s(alt (-.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (-.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (-.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (-.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) (taylor 0 x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (-.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (-.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (-.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (-.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (taylor inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (- 2 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) (taylor inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* x (- 1 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) (taylor -inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) (taylor -inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) (taylor -inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
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 | 559 |
| 1 | 411 | 533 |
| 2 | 1146 | 526 |
| 3 | 3331 | 488 |
| 4 | 7979 | 488 |
| 0 | 8531 | 459 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 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) |
(+ (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)))) |
(* (pow x 2) (- 1 (/ 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))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+ (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)) |
(- (pow x 2) 1) |
(fma.f32 x x #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) |
(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)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(* (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))) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 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 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 |
|---|
#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 8 015 to 1 574 computations (80.4% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 357 | 10 | 367 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 357 | 11 | 368 |
| Status | Accuracy | Program |
|---|---|---|
| 28.0% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) | |
| ▶ | 99.2% | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
| ▶ | 30.3% | (log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))) |
| 20.2% | (log.f32 (+.f32 x (sqrt.f32 (/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (log.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x))))))))) | |
| 20.4% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x)))))))) | |
| ✓ | 54.2% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ▶ | 54.2% | (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)))))) |
| ▶ | 98.0% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
| 0.6% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))) | |
| ▶ | 96.5% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
| 96.2% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
Compiled 281 to 205 computations (27% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) | |
| cost-diff | 0 | (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) | |
| cost-diff | 0 | (log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))) | |
| cost-diff | 64 | (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 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 | (sqrt.f32 (-.f32 x #s(literal 1 binary32))) | |
| cost-diff | 0 | (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 0 | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) | |
| cost-diff | 64 | (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 269 |
| 0 | 66 | 245 |
| 1 | 98 | 244 |
| 2 | 134 | 243 |
| 3 | 197 | 243 |
| 4 | 343 | 243 |
| 5 | 730 | 243 |
| 6 | 2335 | 243 |
| 7 | 3910 | 243 |
| 8 | 5278 | 243 |
| 9 | 6007 | 243 |
| 10 | 6302 | 243 |
| 11 | 6488 | 243 |
| 12 | 6650 | 243 |
| 13 | 7040 | 243 |
| 0 | 8030 | 227 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) |
x |
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) |
(sqrt.f32 (-.f32 x #s(literal 1 binary32))) |
(-.f32 x #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) x)) |
(+.f32 #s(literal 1 binary32) x) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(log.f32 (+.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) |
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))) |
(+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) |
x |
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(-.f32 #s(literal -1 binary32) (*.f32 x x)) |
#s(literal -1 binary32) |
(*.f32 x x) |
| Outputs |
|---|
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)) |
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) |
(fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x) |
x |
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) |
(*.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) |
(sqrt.f32 (-.f32 x #s(literal 1 binary32))) |
(-.f32 x #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) x)) |
(sqrt.f32 (-.f32 x #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) x) |
(-.f32 x #s(literal -1 binary32)) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
x |
(log.f32 (+.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) |
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))) |
(log.f32 (+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) x)) |
(+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) |
(+.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) x) |
x |
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) |
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) |
#s(literal 1 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(-.f32 #s(literal -1 binary32) (*.f32 x x)) |
#s(literal -1 binary32) |
(*.f32 x x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) | |
| accuracy | 0.24161011089591655 | (log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))) | |
| accuracy | 13.500097013275997 | (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) | |
| accuracy | 16.99451086530806 | (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))) | |
| accuracy | 0.0390625 | (+.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 | 0.046875 | (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) | |
| accuracy | 0.24161011089591655 | (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 | 13.500097013275997 | (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))) | |
| accuracy | 0 | (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) | |
| accuracy | 0.0390625 | (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) | |
| accuracy | 0.24161011089591655 | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) | |
| accuracy | 0.49913097482237734 | #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) | |
| accuracy | 0 | (*.f32 #s(literal 2 binary32) x) | |
| accuracy | 0.24161011089591655 | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) | |
| accuracy | 1.0617900880862159 | #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) | |
| accuracy | 0.01171875 | (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) | |
| accuracy | 0.0390625 | (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) | |
| accuracy | 0.24161011089591655 | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) | |
| accuracy | 0.41015625 | (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) |
| 280.0ms | 256× | 0 | valid |
Compiled 480 to 71 computations (85.2% saved)
ival-mult: 219.0ms (82.3% of total)ival-log: 15.0ms (5.6% of total)ival-add: 10.0ms (3.8% of total)ival-sqrt: 9.0ms (3.4% of total)ival-sub: 6.0ms (2.3% of total)ival-div: 4.0ms (1.5% of total)ival-pow: 3.0ms (1.1% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) (patch (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ()) |
#s(alt (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) (patch (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ()) |
#s(alt (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (patch (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ()) |
#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #<representation binary32>) () ()) |
#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ()) |
#s(alt #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ()) |
#s(alt (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) (patch (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ()) |
#s(alt (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) (patch (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) #<representation binary32>) () ()) |
#s(alt (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (patch (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 (+.f32 #s(literal 1 binary32) x) x) (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ()) |
#s(alt (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)))))) (patch (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)))))) #<representation binary32>) () ()) |
#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))) #<representation binary32>) () ()) |
#s(alt (log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))) (patch (log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))) #<representation binary32>) () ()) |
#s(alt (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) (patch (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) (patch (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (patch (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))) (patch (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))) #<representation binary32>) () ()) |
#s(alt (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))) (patch (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) (patch (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) (patch (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) (patch (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) (taylor 0 x) (#s(alt (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) (patch (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) (patch (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) (patch (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) (patch (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) (patch (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (patch (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) (taylor 0 x) (#s(alt (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (patch (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (patch (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (patch (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt -1) (taylor 0 x) (#s(alt #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) (taylor 0 x) (#s(alt #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) (patch #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f32 #s(literal 2 binary32) x) (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ()) |
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt -1) (taylor 0 x) (#s(alt #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) (taylor 0 x) (#s(alt #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) (patch (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (/ (- (pow x 2) 1/2) x) (taylor 0 x) (#s(alt (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) (patch (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (/ (- (pow x 2) 1/2) x) (taylor 0 x) (#s(alt (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) (patch (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt (/ (- (pow x 2) 1/2) x) (taylor 0 x) (#s(alt (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) (patch (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) (patch (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) (patch (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) (patch (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) (patch (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (patch (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (patch (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (patch (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) (patch (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) x) x) (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) x) x) (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) x) x) (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) x) x) (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | x | @ | inf | ((+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (- x 1)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (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))))) (/ (- 1 (pow x 4)) (- -1 (* x x))) (log (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x)))))) (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x)))) (sqrt (+ 1 x)) (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) |
| 5.0ms | x | @ | -inf | ((+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (- x 1)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (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))))) (/ (- 1 (pow x 4)) (- -1 (* x x))) (log (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x)))))) (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x)))) (sqrt (+ 1 x)) (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))) (+ x (sqrt (+ (* (+ 1 x) x) (* (+ 1 x) -1))))) |
| 4.0ms | x | @ | 0 | ((+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (- x 1)) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (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))))) (/ (- 1 (pow x 4)) (- -1 (* x x))) (log (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x)))))) (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x)))) (sqrt (+ 1 x)) (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 | 423 | 3716 |
| 1 | 1263 | 3003 |
| 2 | 4226 | 2892 |
| 0 | 8594 | 2752 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(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)))))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(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) |
(+ (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) 1/2) x) |
(/ (- (pow x 2) 1/2) x) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
-1 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(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 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* x (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/6 (* x (+ (* 3 (/ 1 (sqrt -1))) (* 2 (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))))) |
(sqrt -1) |
(+ (sqrt -1) (* -1/2 (* (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* (pow x 2) (+ (* -1/8 (sqrt -1)) (* -1/16 (* (pow x 2) (sqrt -1)))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))) |
(+ (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))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(* 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))))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x)))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (+ 1 (pow (sqrt -1) 2))))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))) |
(* x (+ 1 (pow (sqrt -1) 2))) |
(* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(* x (- (+ 1 (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(* x (pow (sqrt -1) 2)) |
(* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) |
(* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
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))))) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(* -1 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(/ 1/2 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)) |
| Outputs |
|---|
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ x (sqrt -1)) |
(+.f32 x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f32 (fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
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(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 3/40 binary32) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.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)) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) 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 (fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x) x (sqrt.f32 #s(literal -1 binary32))) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
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(fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) |
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(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32))) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ x (sqrt -1)) |
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(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
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(fma.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) x (/.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) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
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(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
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(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
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(fma.f32 (*.f32 (fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x) x (sqrt.f32 #s(literal -1 binary32))) |
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(/ -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) 1/2) x) |
(-.f32 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)) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
(- (* -1 x) 1) |
(-.f32 #s(literal -1 binary32) x) |
(- (* -1 x) 1) |
(-.f32 #s(literal -1 binary32) x) |
(- (* -1 x) 1) |
(-.f32 #s(literal -1 binary32) x) |
x |
(* x (+ 1 x)) |
(fma.f32 x x x) |
(* x (+ 1 x)) |
(fma.f32 x x x) |
(* x (+ 1 x)) |
(fma.f32 x x x) |
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
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(fma.f32 (fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
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-1 |
#s(literal -1 binary32) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(- (pow x 2) 1) |
(fma.f32 x x #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 (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1))))) |
(+.f32 (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 0 binary32)) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
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(fma.f32 (fma.f32 (*.f32 x (*.f32 #s(literal 1/6 binary32) x)) (+.f32 (/.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 3 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ x (sqrt -1)) |
(+.f32 x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1)))))) |
(fma.f32 (fma.f32 x (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)) x) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))))) |
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 #s(literal -1/8 binary32) x) x #s(literal -1/2 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* -1/2 (* (pow x 2) (sqrt -1)))) |
(*.f32 (fma.f32 x (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))) |
(fma.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 #s(literal -1/8 binary32) x) x #s(literal -1/2 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (sqrt -1)) (* (pow x 2) (+ (* -1/8 (sqrt -1)) (* -1/16 (* (pow x 2) (sqrt -1)))))))) |
(fma.f32 (fma.f32 x (*.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* 1/2 x)) |
(fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f32 (fma.f32 #s(literal -1/8 binary32) x #s(literal 1/2 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) x #s(literal -1/8 binary32)) x #s(literal 1/2 binary32)) x #s(literal 1 binary32)) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) 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 (fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) x (/.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) (+ (* (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 #s(literal 1/16 binary32) (*.f32 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 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x (sqrt.f32 #s(literal -1 binary32)))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ x (sqrt -1)) |
(+.f32 x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) x (/.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) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(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 (neg.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) 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 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) #s(literal -1 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 (fma.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal -1 binary32) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x) |
(sqrt x) |
(sqrt.f32 x) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) x) |
(+ (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)))) |
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(+ (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 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) x) x) #s(literal 1/2 binary32)) x) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32))) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(+ (log -1/2) (log (/ -1 x))) |
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) x) x) #s(literal 1/2 binary32)) x) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32))) x) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(-.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x 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 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 x) (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) #s(literal -1 binary32) x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) #s(literal -1 binary32) x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) #s(literal -1 binary32) x) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) x x)) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f32 #s(literal -1 binary32) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f32 #s(literal -1 binary32) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f32 #s(literal -1 binary32) x) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(+ (log -1/2) (log (/ -1 x))) |
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) x x)) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+.f32 (-.f32 (-.f32 (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(+.f32 (-.f32 (+.f32 (-.f32 (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(*.f32 #s(literal 2 binary32) x) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(neg.f32 (fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(*.f32 (+.f32 (-.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 x)) |
(* -1 (* x (pow (sqrt -1) 2))) |
x |
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) #s(literal -1 binary32) x) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(neg.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(*.f32 (-.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f32 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal 1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) (neg.f32 x)) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(-.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x 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 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 x) (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 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 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) x) x) #s(literal 1/2 binary32)) x) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 228 |
| 0 | 66 | 189 |
| 1 | 254 | 170 |
| 2 | 1859 | 170 |
| 0 | 8890 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) |
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) |
(sqrt.f32 (-.f32 x #s(literal 1 binary32))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)) |
(*.f32 #s(literal 2 binary32) x) |
(log.f32 (+.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)))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))) |
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))) |
(+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x))))) |
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))) |
(sqrt.f32 (+.f32 #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 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))))) |
| Outputs |
|---|
#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 31 819 to 3 580 computations (88.7% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 438 | 9 | 1 447 |
| Fresh | 5 | 0 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 445 | 13 | 1 458 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.3% | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
| ✓ | 99.2% | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
| -0.0% | (log.f32 (+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) | |
| ✓ | 30.3% | (log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))) |
| ✓ | 54.2% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ▶ | 51.1% | (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)))))) |
| 54.2% | (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)))))) | |
| 96.5% | (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) | |
| ✓ | 98.0% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
| ▶ | 43.8% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
| ▶ | 98.0% | (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) |
| ▶ | 1.3% | (log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) |
| 96.2% | #s(approx (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
Compiled 255 to 197 computations (22.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) | |
| cost-diff | 0 | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| cost-diff | 160 | (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| cost-diff | 256 | (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| 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 | #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 | #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32)) | |
| cost-diff | 0 | (log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) | |
| cost-diff | 0 | (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) | |
| cost-diff | 0 | #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) | |
| cost-diff | 0 | (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) | |
| cost-diff | 224 | (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 394 |
| 0 | 84 | 384 |
| 1 | 127 | 372 |
| 2 | 187 | 372 |
| 3 | 330 | 366 |
| 4 | 733 | 360 |
| 5 | 2410 | 300 |
| 6 | 5285 | 300 |
| 7 | 7675 | 300 |
| 0 | 8032 | 284 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) |
#s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
#s(literal 1/2 binary32) |
(*.f32 x x) |
x |
(log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) |
#s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
(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) |
(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) |
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
x |
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(sqrt.f32 (-.f32 x #s(literal 1 binary32))) |
(-.f32 x #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) x) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
| Outputs |
|---|
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
#s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) |
#s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
#s(literal 1/2 binary32) |
(*.f32 x x) |
x |
(log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) |
#s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
(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) |
(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) |
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(log.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) x)))) x)) |
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(+.f32 (/.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) x)))) x) |
x |
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(/.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) x)))) |
(sqrt.f32 (-.f32 x #s(literal 1 binary32))) |
(-.f32 x #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) x)))) |
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) x))) |
(/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) x)) |
(-.f32 #s(literal 1 binary32) x) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24161011089591655 | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) | |
| accuracy | 0.26953125 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) | |
| accuracy | 0.41015625 | (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) | |
| accuracy | 13.588808401186611 | (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 0.046875 | (+.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 | 0.24161011089591655 | (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 | 13.500097013275997 | (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 | 13.507909513275997 | (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)) | |
| accuracy | 0.0390625 | (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) | |
| accuracy | 0.24161011089591655 | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) | |
| accuracy | 0.49913097482237734 | #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) | |
| accuracy | 30.982429121517463 | #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) | |
| accuracy | 0.24161011089591655 | (log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) | |
| accuracy | 30.539695208390864 | #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32)) | |
| accuracy | 0.02734375 | (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) | |
| accuracy | 0.24161011089591655 | (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) | |
| accuracy | 0.45023951631000364 | #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) | |
| accuracy | 0.6972939838175777 | (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
| 137.0ms | 256× | 0 | valid |
Compiled 644 to 88 computations (86.3% saved)
ival-log: 37.0ms (30.5% of total)ival-sqrt: 34.0ms (28% of total)ival-div: 20.0ms (16.5% of total)ival-mult: 9.0ms (7.4% of total)ival-sub: 9.0ms (7.4% of total)ival-add: 8.0ms (6.6% of total)ival-pow: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) (patch (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) #<representation binary32>) () ()) |
#s(alt (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) (patch (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) (patch #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) #<representation binary32>) () ()) |
#s(alt (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (patch (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #<representation binary32>) () ()) |
#s(alt (log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) (patch (log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32)) (patch #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32)) #<representation binary32>) () ()) |
#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ()) |
#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ()) |
#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) (patch #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ()) |
#s(alt (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ()) |
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (patch (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) #<representation binary32>) () ()) |
#s(alt (+.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))) (patch (+.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))) #<representation binary32>) () ()) |
#s(alt (*.f32 (+.f32 #s(literal 1 binary32) x) x) (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ()) |
#s(alt (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ()) |
#s(alt (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) (patch (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) #<representation binary32>) () ()) |
#s(alt (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) (patch (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) #<representation binary32>) () ()) |
#s(alt (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) (patch (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (patch (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #<representation binary32>) () ()) |
#s(alt (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)))) (patch (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)))) #<representation binary32>) () ()) |
#s(alt (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)))))) (patch (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)))))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (patch (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) (patch (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) #<representation binary32>) () ())) ()) |
#s(alt (/ (- (* 2 (pow x 2)) 1/2) x) (taylor 0 x) (#s(alt (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) (patch (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) #<representation binary32>) () ())) ()) |
#s(alt (/ (- (* 2 (pow x 2)) 1/2) x) (taylor 0 x) (#s(alt (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) (patch (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) #<representation binary32>) () ())) ()) |
#s(alt (/ (- (* 2 (pow x 2)) 1/2) x) (taylor 0 x) (#s(alt (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) (patch (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) #<representation binary32>) () ())) ()) |
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) (patch (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) (patch (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) (patch (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) (patch (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt -1) (taylor 0 x) (#s(alt #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) (patch #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) #<representation binary32>) () ())) ()) |
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) (patch #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) (patch #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) (taylor 0 x) (#s(alt #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) (patch #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) #<representation binary32>) () ())) ()) |
#s(alt (/ -1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (patch (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #<representation binary32>) () ())) ()) |
#s(alt (/ (- (* 2 (pow x 2)) 1/2) (pow x 2)) (taylor 0 x) (#s(alt (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (patch (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #<representation binary32>) () ())) ()) |
#s(alt (/ (- (* 2 (pow x 2)) 1/2) (pow x 2)) (taylor 0 x) (#s(alt (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (patch (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #<representation binary32>) () ())) ()) |
#s(alt (/ (- (* 2 (pow x 2)) 1/2) (pow x 2)) (taylor 0 x) (#s(alt (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (patch (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #<representation binary32>) () ())) ()) |
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) (patch (log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) (patch (log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) (patch (log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (* x (+ (* x (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/6 (* x (+ (* 3 (/ 1 (sqrt -1))) (* 2 (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) (patch (log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt -1) (taylor 0 x) (#s(alt #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32)) (patch #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32)) (patch #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1)))))) (taylor 0 x) (#s(alt #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32)) (patch #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))))) (taylor 0 x) (#s(alt #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32)) (patch #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt -1) (taylor 0 x) (#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) (taylor 0 x) (#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((* (- 2 (/ 1/2 (* x x))) x) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- 2 (/ 1/2 (* x x))) (log (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x)))))) (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (/ (* (- 1 (* x x)) -1) (- 1 x)) (* (- 1 (* x x)) -1) (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x))) (* (+ 1 x) x) (/ (- 1 x) (- 1 (* x x))) (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) (log (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))))) (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x))))))) (/ 1/2 (* x x)) (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x)))) (log (+ x (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x)))))) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) |
| 3.0ms | x | @ | -inf | ((* (- 2 (/ 1/2 (* x x))) x) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- 2 (/ 1/2 (* x x))) (log (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x)))))) (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (/ (* (- 1 (* x x)) -1) (- 1 x)) (* (- 1 (* x x)) -1) (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x))) (* (+ 1 x) x) (/ (- 1 x) (- 1 (* x x))) (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) (log (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))))) (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x))))))) (/ 1/2 (* x x)) (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x)))) (log (+ x (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x)))))) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) |
| 3.0ms | x | @ | inf | ((* (- 2 (/ 1/2 (* x x))) x) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- 2 (/ 1/2 (* x x))) (log (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x)))))) (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (- x (/ 1/2 x)) (/ (* (- 1 (* x x)) -1) (- 1 x)) (* (- 1 (* x x)) -1) (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x))) (* (+ 1 x) x) (/ (- 1 x) (- 1 (* x x))) (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) (log (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))))) (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x))))))) (/ 1/2 (* x x)) (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x)))) (log (+ x (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x)))))) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 405 | 3646 |
| 1 | 1185 | 2810 |
| 2 | 3748 | 2687 |
| 0 | 8130 | 2573 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1/2 x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(/ -1/2 (pow x 2)) |
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2)) |
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2)) |
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2)) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* x (+ (* -1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* 1/6 (* x (+ (* 3 (/ 1 (sqrt -1))) (* 2 (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* -1/2 (* x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/2 (sqrt -1)) (* -1/8 (* (pow x 2) (sqrt -1)))))))) |
(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) |
(+ (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) 1/2) x) |
(/ (- (pow x 2) 1/2) x) |
-1 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 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)))))) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(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)))))) |
(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 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(+ (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))))) |
2 |
(- 2 (* 1/2 (/ 1 (pow x 2)))) |
(- 2 (* 1/2 (/ 1 (pow x 2)))) |
(- 2 (* 1/2 (/ 1 (pow x 2)))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ 1 x)))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))) |
(+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ 1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (+ 1 (pow (sqrt -1) 2))))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (+ 1 (pow (sqrt -1) 2))))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))))) |
(* x (+ 1 (pow (sqrt -1) 2))) |
(* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(* x (- (+ 1 (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(+ (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))))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ 1 x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
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 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))))) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (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 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)))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* 2 x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
2 |
(- 2 (* 1/2 (/ 1 (pow x 2)))) |
(- 2 (* 1/2 (/ 1 (pow x 2)))) |
(- 2 (* 1/2 (/ 1 (pow x 2)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(+ (log -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)))))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ 1 x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ 1/2 (pow x 2)) |
(* -1 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(+ (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 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
(/ -1/2 x) |
(/.f32 #s(literal -1/2 binary32) x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)) |
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f32 (fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 3/40 binary32) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.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 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #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 #s(literal 1/8 binary32) (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
(/ -1/2 (pow x 2)) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2)) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) |
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2)) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) |
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2)) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) |
(log (sqrt -1)) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
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(log (sqrt -1)) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
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(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
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(fma.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x) x (sqrt.f32 #s(literal -1 binary32))) |
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(/ -1/2 x) |
(/.f32 #s(literal -1/2 binary32) x) |
(/ (- (pow x 2) 1/2) x) |
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(/ (- (pow x 2) 1/2) x) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(/ (- (pow x 2) 1/2) x) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
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(-.f32 #s(literal -1 binary32) x) |
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(-.f32 #s(literal -1 binary32) x) |
(- (* -1 x) 1) |
(-.f32 #s(literal -1 binary32) x) |
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#s(literal -1 binary32) |
(- (pow x 2) 1) |
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(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
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#s(literal -1 binary32) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
x |
(* x (+ 1 x)) |
(fma.f32 x x x) |
(* x (+ 1 x)) |
(fma.f32 x x x) |
(* x (+ 1 x)) |
(fma.f32 x x x) |
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#s(literal 1 binary32) |
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(-.f32 #s(literal 1 binary32) x) |
(+ 1 (* x (- x 1))) |
(fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal -1 binary32)) x #s(literal 1 binary32)) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
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(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
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(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
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(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
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(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
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(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
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(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(/ 1/2 (pow x 2)) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
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(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
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(fma.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x) x (sqrt.f32 #s(literal -1 binary32))) |
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(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
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1 |
#s(literal 1 binary32) |
(+ 1 (* 1/2 x)) |
(fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
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(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
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(* 2 x) |
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#s(literal 2 binary32) |
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(- 2 (* 1/2 (/ 1 (pow x 2)))) |
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(* x (+ 1 (pow (sqrt -1) 2))) |
#s(literal 0 binary32) |
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(*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))) |
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32))) |
(* x (- (+ 1 (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(fma.f32 x (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) x))) |
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(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
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x |
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(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) x x)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) x) x x)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(/ 1 x) |
(/.f32 #s(literal 1 binary32) x) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x) #s(literal 1 binary32)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x) #s(literal 1 binary32)) x) #s(literal 1 binary32)) x) |
(* -1 (* x (pow (sqrt -1) 2))) |
x |
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) #s(literal -1 binary32) x) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(neg.f32 (fma.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(*.f32 (-.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 x)) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+.f32 (-.f32 (-.f32 (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(+.f32 (-.f32 (+.f32 (-.f32 (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(*.f32 #s(literal 2 binary32) x) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(neg.f32 (fma.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(*.f32 (+.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 x)) |
(/ 1/2 (pow x 2)) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(/ 1/2 (pow x 2)) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(/ 1/2 (pow x 2)) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(/ 1/2 (pow x 2)) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32) (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(-.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x 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 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 x) (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32))) |
(+ (log -1/2) (log (/ -1 x))) |
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f32 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) (neg.f32 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal 1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) (neg.f32 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal 1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) (neg.f32 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 315 |
| 0 | 84 | 273 |
| 1 | 337 | 231 |
| 2 | 2782 | 208 |
| 0 | 8905 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) |
#s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) |
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) |
(log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) |
#s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32)) |
(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)) |
(/.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 (+.f32 #s(literal 1 binary32) x) x) |
(/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 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)))) |
(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 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))) |
| Outputs |
|---|
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Compiled 23 719 to 4 116 computations (82.6% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 055 | 5 | 1 060 |
| Fresh | 3 | 1 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 060 | 13 | 1 073 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))))) |
| ✓ | 99.2% | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
| ▶ | -0.0% | (log.f32 (+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
| ✓ | 30.3% | (log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))) |
| ✓ | 54.2% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ▶ | 51.1% | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))))) |
| ▶ | 54.2% | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))))) |
| ▶ | 96.5% | (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x))) |
| ✓ | 98.0% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
| ✓ | 43.8% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
| ✓ | 98.0% | (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) |
| ✓ | 1.3% | (log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) |
| 96.2% | #s(approx (log (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
Compiled 223 to 171 computations (23.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) | |
| cost-diff | 0 | (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 0 | (log.f32 (+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) | |
| cost-diff | 64 | (+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) | |
| cost-diff | 64 | (*.f32 (+.f32 #s(literal 1 binary32) x) x) | |
| cost-diff | 128 | (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| cost-diff | 192 | (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x))) | |
| cost-diff | 544 | (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) | |
| cost-diff | 0 | (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.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 x)) -1) (- 1 x)) (-.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 x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))))) | |
| cost-diff | 64 | (*.f32 (+.f32 #s(literal 1 binary32) x) x) | |
| cost-diff | 0 | #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x) | |
| cost-diff | 0 | (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x)) | |
| cost-diff | 0 | (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x))) | |
| cost-diff | 0 | (sqrt.f32 (-.f32 x #s(literal 1 binary32))) | |
| cost-diff | 0 | (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))))) | |
| cost-diff | 0 | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))))) | |
| cost-diff | 160 | (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 465 |
| 0 | 87 | 443 |
| 1 | 127 | 421 |
| 2 | 176 | 421 |
| 3 | 286 | 421 |
| 4 | 681 | 421 |
| 5 | 1803 | 349 |
| 6 | 3656 | 349 |
| 7 | 4933 | 349 |
| 8 | 5988 | 349 |
| 9 | 7279 | 349 |
| 10 | 7550 | 349 |
| 11 | 7768 | 349 |
| 12 | 7909 | 349 |
| 0 | 8880 | 336 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))))) |
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))))) |
x |
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))) |
(sqrt.f32 (-.f32 x #s(literal 1 binary32))) |
(-.f32 x #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)) |
(+.f32 #s(literal 1 binary32) x) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x))) |
(+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x)) |
x |
#s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))))) |
(+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x))))) |
x |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.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 x)) -1) (- 1 x)) (-.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 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))))) |
(+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x))))) |
x |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.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 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) |
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(-.f32 #s(literal 1 binary32) x) |
(log.f32 (+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) |
x |
(*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) |
#s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) |
(fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) |
(/.f32 x (sqrt.f32 #s(literal -1 binary32))) |
(sqrt.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) x)) |
(+.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
| Outputs |
|---|
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))))) |
(log.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) x)))) x)) |
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))))) |
(+.f32 (/.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) x)))) x) |
x |
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))) |
(/.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) x)))) |
(sqrt.f32 (-.f32 x #s(literal 1 binary32))) |
(-.f32 x #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) x)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))) |
(sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) x))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) x)) |
(+.f32 #s(literal 1 binary32) x) |
(-.f32 x #s(literal -1 binary32)) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x))) |
(log.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x) x)) |
(+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x)) |
(+.f32 #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x) x) |
x |
#s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) x #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))) x)) |
(+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x))))) |
(+.f32 (sqrt.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) x #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))) x) |
x |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))) |
(sqrt.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) x #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x))) |
(fma.f32 (-.f32 x #s(literal -1 binary32)) x #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.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 x)) -1) (- 1 x)) (-.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 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.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 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.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 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.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 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.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 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) |
(-.f32 #s(literal -1 binary32) x) |
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(fma.f32 x x #s(literal -1 binary32)) |
(-.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(-.f32 #s(literal 1 binary32) x) |
(log.f32 (+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(log.f32 (fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) #s(approx (sqrt (- x 1)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) x)) |
(+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) |
(fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) #s(approx (sqrt (- x 1)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) x) |
x |
(*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) |
(*.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) #s(approx (sqrt (- x 1)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))))) |
#s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) |
#s(approx (sqrt (- x 1)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) |
(fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) |
(/.f32 x (sqrt.f32 #s(literal -1 binary32))) |
(sqrt.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) x)) |
(sqrt.f32 (-.f32 x #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) x) |
(-.f32 x #s(literal -1 binary32)) |
#s(literal 1 binary32) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) | |
| accuracy | 0 | (sqrt.f32 #s(literal -1 binary32)) | |
| accuracy | 0 | (log.f32 (+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) | |
| accuracy | 0 | #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) | |
| accuracy | 0 | (*.f32 x x) | |
| accuracy | 0 | (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))) | |
| accuracy | 0 | (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) | |
| accuracy | 0 | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))))) | |
| accuracy | 0 | (*.f32 (+.f32 #s(literal 1 binary32) x) x) | |
| accuracy | 0 | (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))) | |
| accuracy | 0 | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))))) | |
| accuracy | 0 | #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)) | |
| accuracy | 0 | (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x)) | |
| accuracy | 0 | (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x))) | |
| accuracy | 0 | #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x) | |
| accuracy | 0 | (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))) | |
| accuracy | 0 | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))) | |
| accuracy | 0 | (sqrt.f32 (-.f32 x #s(literal 1 binary32))) | |
| accuracy | 0 | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))))) |
| 195.0ms | 256× | 0 | invalid |
Compiled 749 to 86 computations (88.5% saved)
ival-mult: 85.0ms (47.6% of total)ival-log: 33.0ms (18.5% of total)ival-sqrt: 28.0ms (15.7% of total)ival-add: 15.0ms (8.4% of total)ival-div: 11.0ms (6.2% of total)ival-sub: 5.0ms (2.8% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))) (patch (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ()) |
#s(alt (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))))) (patch (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))))) #<representation binary32>) () ()) |
#s(alt (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))))) (patch (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))))) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x))) (patch (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x))) #<representation binary32>) () ()) |
#s(alt (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x)) (patch (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x)) #<representation binary32>) () ()) |
#s(alt #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x) (patch #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x) #<representation binary32>) () ()) |
#s(alt (*.f32 (+.f32 #s(literal 1 binary32) x) x) (patch (*.f32 (+.f32 #s(literal 1 binary32) x) x) #<representation binary32>) () ()) |
#s(alt (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))))) (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))))) #<representation binary32>) () ()) |
#s(alt (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x))))) (patch (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x))))) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))) (patch (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))) #<representation binary32>) () ()) |
#s(alt (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ()) |
#s(alt (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x))) (patch (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ()) |
#s(alt (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (patch (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) #<representation binary32>) () ()) |
#s(alt (+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) (patch (+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ()) |
#s(alt (log.f32 (+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) (patch (log.f32 (+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (patch (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (patch #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))) (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)) (patch #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)) #<representation binary32>) () ()) |
#s(alt (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))))) (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))))) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))) (patch (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ()) |
#s(alt (*.f32 x x) (patch (*.f32 x x) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 #s(literal -1 binary32)) (patch (sqrt.f32 #s(literal -1 binary32)) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (patch (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))) (patch (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) (taylor 0 x) (#s(alt (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))) (patch (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((* (sqrt (- x 1)) (/ 1 (sqrt (/ 1 (+ 1 x))))) (log (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ 1 (+ 1 x))))))) (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ 1 (+ 1 x)))))) (sqrt (- x 1)) (log (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))))) (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x))))))) (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x)))))) (+ x (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x))))) (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x)))) (/ (neg (- 1 (* x x))) (- 1 x)) (+ (* (+ 1 x) x) (/ (neg (- 1 (* x x))) (- 1 x))) (neg (- 1 (* x x))) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (- x 1)) (sqrt (/ 1 (+ 1 x))) (/ (* (- 1 (* x x)) -1) (- 1 x)) (log (+ x (sqrt (+ (* (+ 1 x) x) (/ (neg (- 1 (* x x))) (- 1 x)))))) (sqrt (+ (* (+ 1 x) x) (/ (neg (- 1 (* x x))) (- 1 x)))) (* x x) (sqrt -1) (sqrt (+ 1 x))) |
| 3.0ms | x | @ | inf | ((* (sqrt (- x 1)) (/ 1 (sqrt (/ 1 (+ 1 x))))) (log (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ 1 (+ 1 x))))))) (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ 1 (+ 1 x)))))) (sqrt (- x 1)) (log (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))))) (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x))))))) (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x)))))) (+ x (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x))))) (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x)))) (/ (neg (- 1 (* x x))) (- 1 x)) (+ (* (+ 1 x) x) (/ (neg (- 1 (* x x))) (- 1 x))) (neg (- 1 (* x x))) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (- x 1)) (sqrt (/ 1 (+ 1 x))) (/ (* (- 1 (* x x)) -1) (- 1 x)) (log (+ x (sqrt (+ (* (+ 1 x) x) (/ (neg (- 1 (* x x))) (- 1 x)))))) (sqrt (+ (* (+ 1 x) x) (/ (neg (- 1 (* x x))) (- 1 x)))) (* x x) (sqrt -1) (sqrt (+ 1 x))) |
| 2.0ms | x | @ | 0 | ((* (sqrt (- x 1)) (/ 1 (sqrt (/ 1 (+ 1 x))))) (log (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ 1 (+ 1 x))))))) (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ 1 (+ 1 x)))))) (sqrt (- x 1)) (log (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))))) (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x))))))) (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) (* (+ 1 x) x) (log (+ x (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x)))))) (+ x (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x))))) (sqrt (+ (* (+ 1 x) x) (/ (* (- 1 (* x x)) -1) (- 1 x)))) (/ (neg (- 1 (* x x))) (- 1 x)) (+ (* (+ 1 x) x) (/ (neg (- 1 (* x x))) (- 1 x))) (neg (- 1 (* x x))) (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (- x 1)) (sqrt (/ 1 (+ 1 x))) (/ (* (- 1 (* x x)) -1) (- 1 x)) (log (+ x (sqrt (+ (* (+ 1 x) x) (/ (neg (- 1 (* x x))) (- 1 x)))))) (sqrt (+ (* (+ 1 x) x) (/ (neg (- 1 (* x x))) (- 1 x)))) (* x x) (sqrt -1) (sqrt (+ 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 368 | 4114 |
| 1 | 1055 | 3421 |
| 2 | 3337 | 3319 |
| 0 | 8192 | 3110 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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)))))) |
(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) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(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) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(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) |
(+ (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 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 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)))))))) |
(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) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
-1 |
(- (* -1 x) 1) |
(- (* -1 x) 1) |
(- (* -1 x) 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) |
(+ (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) |
(pow x 2) |
(pow x 2) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
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 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))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))) |
(+ (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))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(* 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))))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* 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))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))) |
(sqrt (/ 1 x)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
x |
(* 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) |
(pow x 2) |
(pow x 2) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(* -1 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(* -1 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)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) 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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) x (/.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 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x (sqrt.f32 #s(literal -1 binary32)))) |
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f32 (/.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 #s(literal 3/40 binary32) (*.f32 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 x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) x (/.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) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32))) |
(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 #s(literal 3/40 binary32) (*.f32 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 x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) x (/.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) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) 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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) x (/.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 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x (sqrt.f32 #s(literal -1 binary32)))) |
x |
(* x (+ 1 x)) |
(fma.f32 x x x) |
(* x (+ 1 x)) |
(fma.f32 x x x) |
(* x (+ 1 x)) |
(fma.f32 x x 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 #s(literal 3/40 binary32) (*.f32 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 x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) x (/.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) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) 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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) x (/.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 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x (sqrt.f32 #s(literal -1 binary32)))) |
-1 |
#s(literal -1 binary32) |
(- (* -1 x) 1) |
(-.f32 #s(literal -1 binary32) x) |
(- (* -1 x) 1) |
(-.f32 #s(literal -1 binary32) x) |
(- (* -1 x) 1) |
(-.f32 #s(literal -1 binary32) x) |
-1 |
#s(literal -1 binary32) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ x (sqrt -1)) |
(+.f32 x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))) |
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f32 (/.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 #s(literal 3/40 binary32) (*.f32 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)) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) 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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) x (/.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 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x (sqrt.f32 #s(literal -1 binary32)))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1/2 x)) |
(fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(fma.f32 (fma.f32 #s(literal 3/8 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -5/16 binary32) x #s(literal 3/8 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) |
-1 |
#s(literal -1 binary32) |
(- (* -1 x) 1) |
(-.f32 #s(literal -1 binary32) x) |
(- (* -1 x) 1) |
(-.f32 #s(literal -1 binary32) x) |
(- (* -1 x) 1) |
(-.f32 #s(literal -1 binary32) x) |
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
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(+ (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 #s(literal 3/40 binary32) (*.f32 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)) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) 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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) x (/.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 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x (sqrt.f32 #s(literal -1 binary32)))) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
1 |
#s(literal 1 binary32) |
(+ 1 (* 1/2 x)) |
(fma.f32 x #s(literal 1/2 binary32) #s(literal 1 binary32)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f32 (fma.f32 #s(literal -1/8 binary32) x #s(literal 1/2 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) x #s(literal -1/8 binary32)) x #s(literal 1/2 binary32)) x #s(literal 1 binary32)) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x)) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) x)) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
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(sqrt x) |
(sqrt.f32 x) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x) |
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(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))) |
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(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x)) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) x)) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f32 x x x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x)) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) x)) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f32 #s(literal -1 binary32) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f32 #s(literal -1 binary32) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f32 #s(literal -1 binary32) x) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) x x)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) x x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) x x)) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) x)) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x)) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x)) |
(sqrt x) |
(sqrt.f32 x) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) x) |
(sqrt (/ 1 x)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) x)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
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(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f32 #s(literal -1 binary32) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f32 #s(literal -1 binary32) x) |
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(+.f32 (-.f32 (-.f32 (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(-.f32 (fma.f32 (/.f32 (+.f32 #s(literal -15 binary32) (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/720 binary32) (+.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 #s(literal -2 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 (* x (pow (sqrt -1) 2))) |
x |
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) |
(-.f32 (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x) (*.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x)) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f32 x) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal 1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) (neg.f32 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) |
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) |
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(-.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 x #s(literal -1 binary32)) #s(literal -1/4 binary32) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (*.f32 (sqrt.f32 x) #s(literal -1/2 binary32))) (pow.f32 x #s(literal 3 binary32)))) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f32 #s(literal -1 binary32) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f32 #s(literal -1 binary32) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f32 #s(literal -1 binary32) x) |
(+ (log -1/2) (log (/ -1 x))) |
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32) (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(neg.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) x))) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(pow x 2) |
(*.f32 x x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f32 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal 1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) (neg.f32 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 357 |
| 0 | 87 | 281 |
| 0 | 308 | 273 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))) |
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))))) |
(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))))) |
(sqrt.f32 (-.f32 x #s(literal 1 binary32))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x))) |
(+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x)) |
#s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) 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 x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))))) |
(+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x))))) |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x))) |
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) |
(log.f32 (+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) |
#s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))) |
#s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))))) |
(sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))) |
(*.f32 x x) |
(sqrt.f32 #s(literal -1 binary32)) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) x)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
Compiled 6 555 to 1 057 computations (83.9% saved)
13 alts after pruning (2 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 366 | 1 | 367 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 367 | 13 | 380 |
| Status | Accuracy | Program |
|---|---|---|
| 99.2% | (log.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))) x)) | |
| ✓ | 99.2% | (log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
| ✓ | -0.0% | (log.f32 (+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
| ✓ | 30.3% | (log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))) |
| ✓ | 54.2% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ✓ | 51.1% | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x)))))) |
| ✓ | 54.2% | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) x)))))) |
| ✓ | 96.5% | (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) x))) |
| ✓ | 98.0% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
| ✓ | 43.8% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
| ✓ | 98.0% | (log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) |
| ✓ | 1.3% | (log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) |
| 96.2% | #s(approx (log (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
Compiled 468 to 251 computations (46.4% saved)
| Inputs |
|---|
(log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) 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))))) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x 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 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) 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 (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.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)))))) |
(log.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))) x)) |
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))))) |
(log.f32 (+.f32 x (*.f32 #s(approx (sqrt (- x 1)) (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ x (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 x x)))))) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x)))))))) |
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (log.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 x x))))))))) |
| Outputs |
|---|
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))))) |
3 calls:
| 9.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 7.0ms | x |
| 7.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 99.2% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) 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))))) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x 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 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) 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 (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.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)))))) |
(log.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))) x)) |
| Outputs |
|---|
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
3 calls:
| 18.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 5.0ms | x |
| 5.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 99.2% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) 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))))) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x 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 x (sqrt.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) x) #s(approx (/ (* (- 1 (* x x)) -1) (- 1 x)) (-.f32 #s(literal -1 binary32) 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)))))) |
| Outputs |
|---|
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) |
3 calls:
| 30.0ms | x |
| 4.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 4.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | x |
| 98.0% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 98.0% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) 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))))) |
| Outputs |
|---|
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
3 calls:
| 3.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 3.0ms | x |
| 3.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | x |
| 98.0% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 98.0% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (/ 1 (sqrt (/ (- 1 x) (- 1 (* x x)))))) 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 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
3 calls:
| 5.0ms | x |
| 3.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 2.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 1 | x |
| 96.5% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 96.5% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) |
| Outputs |
|---|
(log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) |
3 calls:
| 1.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 1.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.3% | 1 | x |
| 1.3% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 1.3% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 96 |
| 1 | 67 | 96 |
| 2 | 83 | 96 |
| 3 | 100 | 96 |
| 4 | 108 | 96 |
| 5 | 111 | 96 |
| 1× | saturated |
| Inputs |
|---|
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))))) |
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) |
| Outputs |
|---|
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))))) |
(log.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))) (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) x)) |
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) |
(log.f32 (+.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) x)) |
(log.f32 #s(approx (+ x (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) 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 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) |
(log.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x)) |
(log.f32 #s(approx (+ x (sqrt (/ (- 1 (pow x 4)) (- -1 (* x x))))) #s(literal 0 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 423 | 3716 |
| 1 | 1263 | 3003 |
| 2 | 4226 | 2892 |
| 0 | 8594 | 2752 |
| 0 | 39 | 228 |
| 0 | 66 | 189 |
| 1 | 254 | 170 |
| 2 | 1859 | 170 |
| 0 | 8890 | 153 |
| 0 | 150 | 559 |
| 1 | 411 | 533 |
| 2 | 1146 | 526 |
| 3 | 3331 | 488 |
| 4 | 7979 | 488 |
| 0 | 8531 | 459 |
| 0 | 56 | 315 |
| 0 | 84 | 273 |
| 1 | 337 | 231 |
| 2 | 2782 | 208 |
| 0 | 8905 | 190 |
| 0 | 7 | 28 |
| 0 | 12 | 28 |
| 1 | 49 | 28 |
| 2 | 322 | 28 |
| 3 | 3626 | 28 |
| 0 | 8646 | 24 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 238 to 152 computations (36.1% saved)
Compiled 154 to 100 computations (35.1% saved)
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