
Time bar (total: 5.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 3 |
| 33.3% | 12.5% | 25% | 0% | 0% | 62.5% | 0% | 4 |
| 60% | 18.7% | 12.5% | 0% | 0% | 68.7% | 0% | 5 |
| 77.8% | 21.9% | 6.2% | 0% | 0% | 71.8% | 0% | 6 |
| 88.2% | 23.4% | 3.1% | 0% | 0% | 73.4% | 0% | 7 |
| 93.9% | 24.2% | 1.6% | 0% | 0% | 74.2% | 0% | 8 |
| 96.9% | 24.6% | 0.8% | 0% | 0% | 74.6% | 0% | 9 |
| 98.4% | 24.8% | 0.4% | 0% | 0% | 74.8% | 0% | 10 |
| 99.2% | 24.9% | 0.2% | 0% | 0% | 74.9% | 0% | 11 |
| 99.6% | 24.9% | 0.1% | 0% | 0% | 74.9% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 647.0ms | 8 256× | 0 | valid |
| 1.0ms | 16× | 0 | invalid |
ival-div: 131.0ms (30.1% of total)ival-log: 88.0ms (20.2% of total)ival-sqrt: 72.0ms (16.5% of total)ival-mult: 53.0ms (12.2% of total)ival-sub: 45.0ms (10.3% of total)ival-add: 35.0ms (8% of total)exact: 7.0ms (1.6% of total)adjust: 3.0ms (0.7% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 0 | 0 | - | 0 | - | (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 40.0ms | 512× | 0 | valid |
Compiled 121 to 31 computations (74.4% saved)
ival-div: 7.0ms (27% of total)ival-log: 6.0ms (23.2% of total)ival-mult: 4.0ms (15.5% of total)ival-sqrt: 4.0ms (15.5% of total)ival-add: 2.0ms (7.7% of total)ival-sub: 2.0ms (7.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 36 |
| 1 | 45 | 36 |
| 2 | 81 | 36 |
| 3 | 126 | 36 |
| 4 | 260 | 36 |
| 5 | 942 | 36 |
| 6 | 3650 | 36 |
| 0 | 9 | 13 |
| 0 | 16 | 11 |
| 1 | 27 | 11 |
| 2 | 53 | 11 |
| 3 | 97 | 11 |
| 4 | 189 | 11 |
| 5 | 675 | 11 |
| 6 | 6886 | 11 |
| 0 | 8335 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| Outputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x)) |
Compiled 13 to 9 computations (30.8% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
Compiled 13 to 9 computations (30.8% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) | |
| cost-diff | 2 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 52 |
| 0 | 16 | 48 |
| 1 | 27 | 48 |
| 2 | 53 | 48 |
| 3 | 97 | 48 |
| 4 | 189 | 48 |
| 5 | 675 | 48 |
| 6 | 6886 | 48 |
| 0 | 8335 | 48 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) | |
| accuracy | 0.0078125 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| accuracy | 0.01171875 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 19.0ms | 256× | 0 | valid |
Compiled 54 to 11 computations (79.6% saved)
ival-div: 4.0ms (32.6% of total)ival-log: 3.0ms (24.5% of total)ival-mult: 2.0ms (16.3% of total)ival-sqrt: 2.0ms (16.3% of total)ival-add: 1.0ms (8.2% of total)ival-sub: 1.0ms (8.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1)) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (sqrt -1))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1)))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1)))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x)))) |
| 2.0ms | x | @ | -inf | ((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x)))) |
| 2.0ms | x | @ | 0 | ((+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (sqrt (- 1 (* x x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 210 | 1202 |
| 1 | 485 | 1179 |
| 2 | 1551 | 1144 |
| 0 | 7663 | 1123 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1)) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (sqrt -1))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1)))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1)))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))) |
| Outputs |
|---|
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 1)) |
#s(approx (sqrt (- 1 (* x x))) #s(literal 1 binary64)) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))) |
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))) |
#s(approx (sqrt (- 1 (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (sqrt -1))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (sqrt.f64 #s(literal -1 binary64))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (sqrt -1)))) |
#s(approx (sqrt (- 1 (* x x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))) |
#s(approx (sqrt (- 1 (* x x))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) x)) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64)))) x)) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) x)) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x)) x))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1)))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) #s(hole binary64 (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))))) |
#s(approx (/ (sqrt (- 1 (* x x))) x) (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (sqrt -1))))) |
#s(approx (sqrt (- 1 (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))) |
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x)) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (sqrt (- 1 (* x x))) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) x)) |
#s(approx (sqrt (- 1 (* x x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))) |
#s(approx (sqrt (- 1 (* x x))) (*.f64 (neg.f64 x) (-.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 0 | 16 | 24 |
| 1 | 72 | 24 |
| 0 | 596 | 23 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) x) x) |
(/.f64 (-.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (+.f64 (neg.f64 (sin.f64 (acos.f64 x))) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (acos.f64 x)))) (neg.f64 x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 (acos.f64 x))) x (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) (neg.f64 x) (*.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sin.f64 (acos.f64 x))))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) (sin.f64 (acos.f64 x)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 x (neg.f64 (sin.f64 (acos.f64 x))))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (+.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (tan.f64 (acos.f64 x))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))) (/.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))) |
(+.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (sin.f64 (acos.f64 x)) x) (*.f64 x x))) |
(+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))) |
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (log.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))) |
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)) |
(-.f64 (log.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x)) (log.f64 (*.f64 x x))) |
(log.f64 (+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (acos.f64 x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 x)) |
(/.f64 (sin.f64 (acos.f64 x)) (cos.f64 (acos.f64 x))) |
(/.f64 (sin.f64 (acos.f64 x)) x) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 (acos.f64 x))) x)) |
(neg.f64 (/.f64 (sin.f64 (acos.f64 x)) (neg.f64 x))) |
(tan.f64 (+.f64 (acos.f64 x) (PI.f64))) |
(tan.f64 (acos.f64 x)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(sin.f64 (+.f64 (asin.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (acos.f64 (neg.f64 x))) |
(sin.f64 (acos.f64 (fabs.f64 x))) |
(sin.f64 (acos.f64 x)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(cos.f64 (neg.f64 (asin.f64 x))) |
(cos.f64 (asin.f64 (neg.f64 x))) |
(cos.f64 (asin.f64 (fabs.f64 x))) |
(cos.f64 (asin.f64 x)) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))) |
Compiled 2 287 to 520 computations (77.3% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 106 | 8 | 114 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 106 | 9 | 115 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)) |
| ▶ | 54.4% | (log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))) |
| ✓ | 100.0% | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 33.9% | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))) | |
| 99.1% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) | |
| ▶ | 98.9% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) |
| 98.5% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) | |
| ▶ | 0.0% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
| ▶ | 98.1% | #s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
Compiled 267 to 189 computations (29.2% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 (acos.f64 x)) | |
| cost-diff | 0 | (fma.f64 (sin.f64 (acos.f64 x)) x x) | |
| cost-diff | 0 | (log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))) | |
| cost-diff | 3 | (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)) | |
| cost-diff | 0 | (log.f64 x) | |
| cost-diff | 0 | (log.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) | |
| cost-diff | 0 | #s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) | |
| cost-diff | 2 | (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (sqrt.f64 #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) | |
| cost-diff | 0 | (acos.f64 x) | |
| cost-diff | 0 | (sin.f64 (acos.f64 x)) | |
| cost-diff | 0 | (log1p.f64 (sin.f64 (acos.f64 x))) | |
| cost-diff | 0 | (-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 182 |
| 0 | 50 | 172 |
| 1 | 79 | 172 |
| 2 | 183 | 167 |
| 3 | 555 | 163 |
| 4 | 1893 | 163 |
| 0 | 8653 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)) |
(log1p.f64 (sin.f64 (acos.f64 x))) |
(sin.f64 (acos.f64 x)) |
(acos.f64 x) |
x |
(log.f64 x) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) |
(sqrt.f64 #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log.f64 x) |
x |
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))) |
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)) |
(fma.f64 (sin.f64 (acos.f64 x)) x x) |
(sin.f64 (acos.f64 x)) |
(acos.f64 x) |
x |
(*.f64 x x) |
| Outputs |
|---|
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)) |
(log1p.f64 (sin.f64 (acos.f64 x))) |
(sin.f64 (acos.f64 x)) |
(acos.f64 x) |
x |
(log.f64 x) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) |
(sqrt.f64 #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log.f64 x) |
x |
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))) |
(log.f64 (/.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)) |
(/.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x) |
(fma.f64 (sin.f64 (acos.f64 x)) x x) |
(sin.f64 (acos.f64 x)) |
(acos.f64 x) |
x |
(*.f64 x x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (sin.f64 (acos.f64 x)) | |
| accuracy | 0.0 | (log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))) | |
| accuracy | 0.0 | (acos.f64 x) | |
| accuracy | 0.0 | (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) | |
| accuracy | 0.0 | (log.f64 x) | |
| accuracy | 0.0 | (log.f64 #s(literal 2 binary64)) | |
| accuracy | 0.0 | #s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) | |
| accuracy | 0.0 | (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) | |
| accuracy | 0.0 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal -1 binary64)) | |
| accuracy | 0.0 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) | |
| accuracy | 0.0 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) | |
| accuracy | 0.0 | (sin.f64 (acos.f64 x)) | |
| accuracy | 0.0 | (log1p.f64 (sin.f64 (acos.f64 x))) | |
| accuracy | 0.0 | (log.f64 x) | |
| accuracy | 0.0 | (acos.f64 x) |
| 96.0ms | 256× | 0 | invalid |
Compiled 163 to 29 computations (82.2% saved)
ival-sin: 24.0ms (33.9% of total)ival-add: 14.0ms (19.8% of total)ival-log: 9.0ms (12.7% of total)ival-div: 6.0ms (8.5% of total)ival-mult: 5.0ms (7.1% of total)ival-acos: 3.0ms (4.2% of total)ival-sub: 3.0ms (4.2% of total)ival-log1p: 3.0ms (4.2% of total)ival-sqrt: 3.0ms (4.2% of total)exact: 1.0ms (1.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)) |
(log1p.f64 (sin.f64 (acos.f64 x))) |
(sin.f64 (acos.f64 x)) |
(acos.f64 x) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) |
(sqrt.f64 #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(log.f64 #s(literal 2 binary64)) |
(log.f64 x) |
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)) |
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))) |
(fma.f64 (sin.f64 (acos.f64 x)) x x) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (log x)))) |
#s(approx (log (+ 1 (sin (acos x)))) #s(hole binary64 (log (+ 1 (sin (acos x)))))) |
#s(approx (sin (acos x)) #s(hole binary64 (sin (acos x)))) |
#s(approx (acos x) #s(hole binary64 (acos x))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 2)) |
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (+ 2 (* -1/2 (pow x 2))))) |
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (log x)))) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) #s(hole binary64 (/ (+ 1 (sin (acos x))) x))) |
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (+ 1 (sin (acos x)))) (* -1 (log x))))) |
#s(approx (+ (* (sin (acos x)) x) x) #s(hole binary64 (* x (+ 1 (sin (acos x)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (+ 1 (sin (acos x)))) (log (/ 1 x))))) |
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) #s(hole binary64 (* -1 (/ (- (* -1 (sin (acos x))) 1) x)))) |
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (- (* -1 (sin (acos x))) 1)) (log (/ -1 x))))) |
#s(approx (+ (* (sin (acos x)) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (sin (acos x))) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 206.0ms | x | @ | -inf | ((- (log (+ 1 (sin (acos x)))) (log x)) (log (+ 1 (sin (acos x)))) (sin (acos x)) (acos x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (/ (+ (* (* x x) -1/2) 2) x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (* x x) -1/2) 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (- (log 2) (log x)) (log 2) (log x) (/ (+ (* (sin (acos x)) x) x) (* x x)) (log (/ (+ (* (sin (acos x)) x) x) (* x x))) (+ (* (sin (acos x)) x) x) (* x x)) |
| 95.0ms | x | @ | inf | ((- (log (+ 1 (sin (acos x)))) (log x)) (log (+ 1 (sin (acos x)))) (sin (acos x)) (acos x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (/ (+ (* (* x x) -1/2) 2) x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (* x x) -1/2) 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (- (log 2) (log x)) (log 2) (log x) (/ (+ (* (sin (acos x)) x) x) (* x x)) (log (/ (+ (* (sin (acos x)) x) x) (* x x))) (+ (* (sin (acos x)) x) x) (* x x)) |
| 86.0ms | x | @ | 0 | ((- (log (+ 1 (sin (acos x)))) (log x)) (log (+ 1 (sin (acos x)))) (sin (acos x)) (acos x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt -1) (/ (+ (* (* x x) -1/2) 2) x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* (* x x) -1/2) 2) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (- (log 2) (log x)) (log 2) (log x) (/ (+ (* (sin (acos x)) x) x) (* x x)) (log (/ (+ (* (sin (acos x)) x) x) (* x x))) (+ (* (sin (acos x)) x) x) (* x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 228 | 1052 |
| 1 | 511 | 1032 |
| 2 | 1543 | 988 |
| 0 | 6530 | 944 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (log x)))) |
#s(approx (log (+ 1 (sin (acos x)))) #s(hole binary64 (log (+ 1 (sin (acos x)))))) |
#s(approx (sin (acos x)) #s(hole binary64 (sin (acos x)))) |
#s(approx (acos x) #s(hole binary64 (acos x))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 2)) |
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (+ 2 (* -1/2 (pow x 2))))) |
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (log x)))) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) #s(hole binary64 (/ (+ 1 (sin (acos x))) x))) |
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (+ 1 (sin (acos x)))) (* -1 (log x))))) |
#s(approx (+ (* (sin (acos x)) x) x) #s(hole binary64 (* x (+ 1 (sin (acos x)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (+ 1 (sin (acos x)))) (log (/ 1 x))))) |
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) #s(hole binary64 (* -1 (/ (- (* -1 (sin (acos x))) 1) x)))) |
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (- (* -1 (sin (acos x))) 1)) (log (/ -1 x))))) |
#s(approx (+ (* (sin (acos x)) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (sin (acos x))) 1))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (log x)))) |
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) (-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))) |
#s(approx (log (+ 1 (sin (acos x)))) #s(hole binary64 (log (+ 1 (sin (acos x)))))) |
#s(approx (log (+ 1 (sin (acos x)))) (log1p.f64 (sin.f64 (acos.f64 x)))) |
#s(approx (sin (acos x)) #s(hole binary64 (sin (acos x)))) |
#s(approx (sin (acos x)) (sin.f64 (acos.f64 x))) |
#s(approx (acos x) #s(hole binary64 (acos x))) |
#s(approx (acos x) (acos.f64 x)) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 2)) |
#s(approx (+ (* (* x x) -1/2) 2) #s(literal 2 binary64)) |
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (+ 2 (* -1/2 (pow x 2))))) |
#s(approx (+ (* (* x x) -1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (log x)))) |
#s(approx (- (log 2) (log x)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (log x) (log.f64 x)) |
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) #s(hole binary64 (/ (+ 1 (sin (acos x))) x))) |
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) (/.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x)) |
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (+ 1 (sin (acos x)))) (* -1 (log x))))) |
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) (-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))) |
#s(approx (+ (* (sin (acos x)) x) x) #s(hole binary64 (* x (+ 1 (sin (acos x)))))) |
#s(approx (+ (* (sin (acos x)) x) x) (fma.f64 (sin.f64 (acos.f64 x)) x x)) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (* -1 (log (/ 1 x)))))) |
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) (-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
#s(approx (+ (* (* x x) -1/2) 2) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (+ (* (* x x) -1/2) 2) (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x) x)) |
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (- (log 2) (log x)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log x) (log.f64 x)) |
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (+ 1 (sin (acos x)))) (log (/ 1 x))))) |
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) (-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x))) |
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) #s(hole binary64 (- (log (+ 1 (sin (acos x)))) (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (- (log (+ 1 (sin (acos x)))) (log x)) (-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1/2 binary64)) x)) |
#s(approx (- (log 2) (log x)) #s(hole binary64 (- (log 2) (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (- (log 2) (log x)) (-.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
#s(approx (log x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) #s(hole binary64 (* -1 (/ (- (* -1 (sin (acos x))) 1) x)))) |
#s(approx (/ (+ (* (sin (acos x)) x) x) (* x x)) (/.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x)) |
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) #s(hole binary64 (+ (log (- (* -1 (sin (acos x))) 1)) (log (/ -1 x))))) |
#s(approx (log (/ (+ (* (sin (acos x)) x) x) (* x x))) (+.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 (acos.f64 x)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (+ (* (sin (acos x)) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (sin (acos x))) 1))))) |
#s(approx (+ (* (sin (acos x)) x) x) (fma.f64 (sin.f64 (acos.f64 x)) x x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 164 |
| 0 | 50 | 132 |
| 1 | 192 | 129 |
| 0 | 1498 | 129 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)) |
(log1p.f64 (sin.f64 (acos.f64 x))) |
(sin.f64 (acos.f64 x)) |
(acos.f64 x) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64))) |
(sqrt.f64 #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(log.f64 #s(literal 2 binary64)) |
(log.f64 x) |
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x)) |
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))) |
(fma.f64 (sin.f64 (acos.f64 x)) x x) |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))) (+.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (log.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))) |
(-.f64 (log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) x)) (log.f64 x)) |
(-.f64 (log.f64 (neg.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x))) (log.f64 (*.f64 (neg.f64 x) x))) |
(-.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)) |
(log.f64 (+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64)))) |
(log1p.f64 (sin.f64 (acos.f64 x))) |
(-.f64 (log.f64 (*.f64 (sin.f64 (asin.f64 x)) (sin.f64 (asin.f64 x)))) (log.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x))))) |
(-.f64 (log1p.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sin.f64 (acos.f64 x))))) |
(log.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x))) |
(*.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(sin.f64 (+.f64 (asin.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (acos.f64 (neg.f64 x))) |
(sin.f64 (acos.f64 (fabs.f64 x))) |
(sin.f64 (acos.f64 x)) |
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (acos.f64 x))) (*.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (asin.f64 x)))) |
(cos.f64 (neg.f64 (asin.f64 x))) |
(cos.f64 (asin.f64 (neg.f64 x))) |
(cos.f64 (asin.f64 (fabs.f64 x))) |
(cos.f64 (asin.f64 x)) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))) |
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(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))) (+.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (log.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))) |
(-.f64 (log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) x)) (log.f64 x)) |
(-.f64 (log.f64 (neg.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x))) (log.f64 (*.f64 (neg.f64 x) x))) |
(-.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)) |
(log.f64 (+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x) |
(*.f64 x (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (asin.f64 x)) (sin.f64 (asin.f64 x))) x) (-.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (sin.f64 (acos.f64 x)) (-.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (sin.f64 (acos.f64 x)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (sin.f64 (acos.f64 x)) x)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)) (*.f64 (sin.f64 (acos.f64 x)) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (sin.f64 (acos.f64 x)) x)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 (acos.f64 x)) x x) |
(fma.f64 x (sin.f64 (acos.f64 x)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x))) |
(-.f64 x (*.f64 (neg.f64 (sin.f64 (acos.f64 x))) x)) |
(-.f64 x (*.f64 (neg.f64 x) (sin.f64 (acos.f64 x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (sin.f64 (acos.f64 x)) x)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (sin.f64 (acos.f64 x)) x)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x) |
(+.f64 x (*.f64 (sin.f64 (acos.f64 x)) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 5 866 to 1 088 computations (81.5% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 271 | 8 | 279 |
| Fresh | 2 | 1 | 3 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 0 | 1 |
| Total | 279 | 9 | 288 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x)) |
| ▶ | 54.4% | (log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))) |
| 33.9% | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))) | |
| 99.3% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) | |
| 99.1% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) | |
| ▶ | 98.9% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
| ▶ | 53.3% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))) |
| 98.5% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* (* x x) -1/2) 2) #s(literal 2 binary64)) x))) | |
| ▶ | 0.0% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))) |
Compiled 374 to 252 computations (32.6% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) | |
| cost-diff | 0 | (log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))) | |
| cost-diff | 3 | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) | |
| cost-diff | 6 | (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 303 |
| 0 | 62 | 267 |
| 1 | 108 | 266 |
| 2 | 296 | 255 |
| 3 | 1450 | 251 |
| 0 | 8189 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x)) |
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
(log.f64 x) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) |
#s(literal -1/2 binary64) |
x |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
x |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)) |
(fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) |
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
(*.f64 x x) |
| Outputs |
|---|
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x)) |
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
(log.f64 x) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) |
#s(literal -1/2 binary64) |
x |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
x |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))) |
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)) x) |
(fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) |
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
(*.f64 x x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) | |
| accuracy | 0.0078125 | (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) | |
| accuracy | 0.01171875 | (log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))) | |
| accuracy | 28.637671133939655 | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)) | |
| accuracy | 0.01171875 | (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) | |
| accuracy | 0.01171875 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))) | |
| accuracy | 0.7372709336754895 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))) | |
| accuracy | 28.629858633939655 | (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) | |
| accuracy | 0.0 | (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.01171875 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) | |
| accuracy | 0.7372709336754895 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) x) | |
| accuracy | 0.01171875 | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))) | |
| accuracy | 0.7372709336754895 | #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))) | |
| accuracy | 62.99850993968642 | #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 0.0 | (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (log.f64 x) | |
| accuracy | 0.0078125 | (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) | |
| accuracy | 0.21484375 | (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x)) |
| 61.0ms | 256× | 0 | valid |
Compiled 248 to 35 computations (85.9% saved)
ival-mult: 12.0ms (26.3% of total)ival-div: 9.0ms (19.8% of total)ival-log: 7.0ms (15.4% of total)ival-add: 6.0ms (13.2% of total)ival-sqrt: 5.0ms (11% of total)ival-log1p: 3.0ms (6.6% of total)ival-sub: 2.0ms (4.4% of total)ival-neg: 1.0ms (2.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x)) |
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) x) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)) |
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))) |
(fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) |
(log.f64 x) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (log 2) (log x)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x)))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log 2) (* -1/4 (pow x 2))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))) |
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (+ 1 (* -1 (pow x 2))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (* -1/2 x) #s(hole binary64 (* -1/2 x))) |
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* 2 x))) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2)))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (* -1/2 (* x x)) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1))))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1))))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (sqrt -1)))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (* -1/2 x))) |
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* -1/2 (pow x 3)))) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (sqrt -1))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (sqrt -1)))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (/ 1 x))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (log (sqrt -1)) (log -1)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (log (sqrt -1)) (+ (log -1) (/ 1 (* x (sqrt -1))))))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) (log -1)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) (log -1)))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (log (/ -1 x)))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (- (+ (log (sqrt -1)) (* -1 (log (/ -1 x)))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (sqrt -1))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt -1))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | 0 | ((- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (sqrt (+ (* (neg x) x) 1)) (+ (* (neg x) x) 1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (* -1/2 x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 2 x)) (/ 2 x) (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) (+ (* (* -1/2 (* x x)) x) (* x 2)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (log x) (* -1/2 (* x x))) |
| 10.0ms | x | @ | -inf | ((- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (sqrt (+ (* (neg x) x) 1)) (+ (* (neg x) x) 1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (* -1/2 x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 2 x)) (/ 2 x) (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) (+ (* (* -1/2 (* x x)) x) (* x 2)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (log x) (* -1/2 (* x x))) |
| 10.0ms | x | @ | inf | ((- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (sqrt (+ (* (neg x) x) 1)) (+ (* (neg x) x) 1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (* x x) -1/2) 2) x) (* -1/2 x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (* -1/2 x) (/ 2 x)) (/ 2 x) (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) (+ (* (* -1/2 (* x x)) x) (* x 2)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (log x) (* -1/2 (* x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 360 | 3048 |
| 1 | 807 | 2984 |
| 2 | 2539 | 2846 |
| 0 | 8574 | 2716 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (log 2) (log x)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x)))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log 2) (* -1/4 (pow x 2))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))) |
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (+ 1 (* -1 (pow x 2))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (* -1/2 x) #s(hole binary64 (* -1/2 x))) |
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* 2 x))) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2)))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (* -1/2 (* x x)) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1))))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1))))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5))))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (sqrt -1)))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (sqrt -1))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (* -1/2 x))) |
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (* -1/2 x))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (* x (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* -1/2 (pow x 3)))) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/2)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (sqrt -1))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (sqrt -1)))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (/ 1 x))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (log (sqrt -1)) (log -1)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (log (sqrt -1)) (+ (log -1) (/ 1 (* x (sqrt -1))))))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) (log -1)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))) (log -1)))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (log (/ -1 x)))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (- (+ (log (sqrt -1)) (* -1 (log (/ -1 x)))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (sqrt -1))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt -1))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (log 2) (log x)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log 2) (* -1/4 (pow x 2))) (log x)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))) (log x)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))) (log x)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (log 2))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log.f64 #s(literal 2 binary64))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log 2) (* -1/4 (pow x 2))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log 2) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log 2) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (log.f64 #s(literal 2 binary64)))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))))) |
#s(approx (sqrt (+ (* (neg x) x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (neg x) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (neg x) x) 1) #s(hole binary64 (+ 1 (* -1 (pow x 2))))) |
#s(approx (+ (* (neg x) x) 1) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (* -1/2 x) #s(hole binary64 (* -1/2 x))) |
#s(approx (* -1/2 x) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x))) |
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* 2 x))) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2)))))) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x)) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (log x) (log.f64 x)) |
#s(approx (* -1/2 (* x x)) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (* -1/2 (* x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (- (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (log x)) (-.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) (+.f64 (log.f64 x) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1))))))) |
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#s(approx (log (+ 1 (sqrt (+ (* (neg x) x) 1)))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (* -1 (log (/ 1 x))) (/ 1 (* x (sqrt -1))))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
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#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (+ (* -1/2 x) (/ 2 x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) #s(hole binary64 (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (* -1/2 (* x x)) x) (* x 2)) (* x x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/2 (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* -1/2 (* x x)) x) (* x 2)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (-.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (+.f64 (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt -1))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (neg.f64 x) x)) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
#s(approx (log x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 267 |
| 0 | 62 | 215 |
| 1 | 252 | 196 |
| 0 | 1956 | 189 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x)) |
(log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x))) |
#s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) x) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))) |
#s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x)) |
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))) |
(fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) |
(log.f64 x) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))) (+.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (pow.f64 (log1p.f64 (sin.f64 (acos.f64 x))) #s(literal 2 binary64))))) |
(-.f64 (log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) x)) (log.f64 x)) |
(-.f64 (log.f64 (neg.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x))) (log.f64 (*.f64 (neg.f64 x) x))) |
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (log.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))) |
(-.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)) |
(log.f64 (+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64)))) |
(log1p.f64 (sin.f64 (acos.f64 x))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x))))) |
(-.f64 (log1p.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (sin.f64 (acos.f64 x))))) |
(log.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x))) |
(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(sin.f64 (+.f64 (asin.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (acos.f64 (fabs.f64 x))) |
(sin.f64 (acos.f64 (neg.f64 x))) |
(sin.f64 (acos.f64 x)) |
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (asin.f64 x))) |
(cos.f64 (asin.f64 (fabs.f64 x))) |
(cos.f64 (asin.f64 (neg.f64 x))) |
(cos.f64 (asin.f64 x)) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fabs.f64 (sin.f64 (acos.f64 x))) (fabs.f64 (sin.f64 (acos.f64 x)))) |
(*.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 (sin.f64 (acos.f64 x)))) |
(*.f64 (sin.f64 (acos.f64 x)) (sin.f64 (acos.f64 x))) |
(pow.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sin.f64 (acos.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) |
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(-.f64 (log.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (log.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))) |
(-.f64 (+.f64 (log.f64 x) (log1p.f64 (sin.f64 (acos.f64 x)))) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)) |
(log.f64 (+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x) |
(*.f64 x (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x) (-.f64 #s(literal 1 binary64) (sin.f64 (acos.f64 x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (sin.f64 (acos.f64 x)) (-.f64 (sin.f64 (acos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (sin.f64 (acos.f64 x)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (sin.f64 (acos.f64 x)) x)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (sin.f64 (acos.f64 x)) x)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 (acos.f64 x)) x x) |
(fma.f64 x (sin.f64 (acos.f64 x)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x))) |
(-.f64 x (*.f64 (neg.f64 (sin.f64 (acos.f64 x))) x)) |
(-.f64 x (*.f64 (neg.f64 x) (sin.f64 (acos.f64 x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (sin.f64 (acos.f64 x)) x)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (sin.f64 (acos.f64 x)) x)) (pow.f64 (*.f64 (sin.f64 (acos.f64 x)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (sin.f64 (acos.f64 x)) x) x) |
(+.f64 x (*.f64 (sin.f64 (acos.f64 x)) x)) |
(log.f64 x) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) x) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) |
(*.f64 x (*.f64 #s(literal -1/2 binary64) x)) |
Compiled 11 286 to 1 817 computations (83.9% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 461 | 4 | 465 |
| Fresh | 3 | 1 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 465 | 9 | 474 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x)) |
| ✓ | 54.4% | (log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))) |
| ▶ | 52.8% | (log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))) |
| ▶ | 33.9% | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))) |
| ▶ | 99.3% | (log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
| ▶ | 99.1% | (log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
| ▶ | 98.5% | (log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))) |
| ✓ | 98.9% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
| ✓ | 0.0% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))) |
Compiled 289 to 199 computations (31.1% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 (acos.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))) | |
| cost-diff | 0 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) | |
| cost-diff | 0 | (log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 322 |
| 0 | 59 | 322 |
| 1 | 101 | 313 |
| 2 | 269 | 301 |
| 3 | 936 | 289 |
| 4 | 3965 | 289 |
| 0 | 8184 | 286 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) |
#s(literal -1/16 binary64) |
(*.f64 x x) |
x |
#s(literal -1/8 binary64) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 x x) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
#s(literal -1/8 binary64) |
(*.f64 x x) |
x |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(tan.f64 (acos.f64 x)) |
(acos.f64 x) |
| Outputs |
|---|
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) |
#s(literal -1/16 binary64) |
(*.f64 x x) |
x |
#s(literal -1/8 binary64) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 x x) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
#s(literal -1/8 binary64) |
(*.f64 x x) |
x |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))) |
(log.f64 (+.f64 (tan.f64 (acos.f64 x)) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))) |
(+.f64 (tan.f64 (acos.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(tan.f64 (acos.f64 x)) |
(acos.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (acos.f64 x) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))) | |
| accuracy | 0.01171875 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))) | |
| accuracy | 58.37933090338902 | (tan.f64 (acos.f64 x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.01171875 | (log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) | |
| accuracy | 0.6123400678320624 | #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.01171875 | (log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))) | |
| accuracy | 1.0519064700170628 | #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 28.637671133939655 | (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.01171875 | (log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))) | |
| accuracy | 1.0438994556444898 | #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0.01171875 | (log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) | |
| accuracy | 0.49356361390364956 | #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
| 389.0ms | 249× | 1 | valid |
| 2.0ms | 7× | 0 | valid |
Compiled 255 to 34 computations (86.7% saved)
ival-tan: 216.0ms (59.7% of total)adjust: 80.0ms (22.1% of total)ival-acos: 20.0ms (5.5% of total)ival-mult: 14.0ms (3.9% of total)ival-add: 12.0ms (3.3% of total)ival-div: 8.0ms (2.2% of total)ival-log: 7.0ms (1.9% of total)ival-sqrt: 2.0ms (0.6% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))) |
(/.f64 #s(literal 1 binary64) x) |
(tan.f64 (acos.f64 x)) |
(*.f64 x x) |
(acos.f64 x) |
| Outputs |
|---|
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (- (* -1/8 (pow x 2)) 1/2))) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) |
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (- (* -1/8 (pow x 2)) 1/2))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (* -1 (log x)))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (sin (acos x)) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (* -1 (log x)) (* x (+ (* -1/2 (/ (pow (sin (acos x)) 2) x)) (/ (sin (acos x)) x)))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (* -1 (log x)) (* x (+ (* x (+ (* -1/2 (/ (pow (sin (acos x)) 2) (pow x 2))) (* 1/3 (/ (pow (sin (acos x)) 3) (pow x 2))))) (/ (sin (acos x)) x)))))) |
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (/ (+ 1 (sin (acos x))) x))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (tan (acos x)) #s(hole binary64 (/ (sin (acos x)) x))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (acos x) #s(hole binary64 (acos x))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (sqrt -1))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1/16 (pow x 5)))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))))) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (* -1/16 (pow x 4)))) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (sqrt -1)))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (/ 1 x))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1/8 (pow x 3)))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (* -1/8 (pow x 2)))) |
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (log (/ (sin (acos x)) x)))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (/ 1 (sin (acos x)))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (+ (/ -1/2 (pow (sin (acos x)) 2)) (/ 1 (sin (acos x))))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (+ (/ -1/2 (pow (sin (acos x)) 2)) (+ (/ 1/3 (pow (sin (acos x)) 3)) (/ 1 (sin (acos x)))))))) |
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (/ (sin (acos x)) x))) |
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (+ (/ 1 x) (/ (sin (acos x)) x)))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6)))))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt -1))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4))))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (* -1 (/ (+ (* -1 (/ x (sin (acos x)))) (* 1/2 (/ x (pow (sin (acos x)) 2)))) x))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (* -1 (/ (+ (* -1 (/ x (sin (acos x)))) (* -1 (/ (+ (* -1/2 (/ (pow x 2) (pow (sin (acos x)) 2))) (* 1/3 (/ (pow x 2) (pow (sin (acos x)) 3)))) x))) x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/ 2 x) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* 2 x) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (+ (* -1/8 (* x x)) -1/2) (log (+ (/ 1 x) (tan (acos x)))) (+ (/ 1 x) (tan (acos x))) (/ 1 x) (tan (acos x)) (* x x) (acos x)) |
| 4.0ms | x | @ | inf | ((log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/ 2 x) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* 2 x) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (+ (* -1/8 (* x x)) -1/2) (log (+ (/ 1 x) (tan (acos x)))) (+ (/ 1 x) (tan (acos x))) (/ 1 x) (tan (acos x)) (* x x) (acos x)) |
| 4.0ms | x | @ | 0 | ((log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/ 2 x) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* 2 x) (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (+ (* -1/8 (* x x)) -1/2) (log (+ (/ 1 x) (tan (acos x)))) (+ (/ 1 x) (tan (acos x))) (/ 1 x) (tan (acos x)) (* x x) (acos x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 2175 |
| 1 | 835 | 2107 |
| 2 | 3178 | 2083 |
| 0 | 8770 | 1955 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (- (* -1/8 (pow x 2)) 1/2))) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) |
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (- (* -1/8 (pow x 2)) 1/2))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (* -1 (log x)))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (sin (acos x)) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (* -1 (log x)) (* x (+ (* -1/2 (/ (pow (sin (acos x)) 2) x)) (/ (sin (acos x)) x)))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (* -1 (log x)) (* x (+ (* x (+ (* -1/2 (/ (pow (sin (acos x)) 2) (pow x 2))) (* 1/3 (/ (pow (sin (acos x)) 3) (pow x 2))))) (/ (sin (acos x)) x)))))) |
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (/ (+ 1 (sin (acos x))) x))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (tan (acos x)) #s(hole binary64 (/ (sin (acos x)) x))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (acos x) #s(hole binary64 (acos x))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (sqrt -1))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (/ 1 x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1/16 (pow x 5)))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))))) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (* -1/16 (pow x 4)))) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16)))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (sqrt -1)))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (/ 1 x))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1/8 (pow x 3)))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (* -1/8 (pow x 2)))) |
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (log (/ (sin (acos x)) x)))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (/ 1 (sin (acos x)))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (+ (/ -1/2 (pow (sin (acos x)) 2)) (/ 1 (sin (acos x))))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (+ (/ -1/2 (pow (sin (acos x)) 2)) (+ (/ 1/3 (pow (sin (acos x)) 3)) (/ 1 (sin (acos x)))))))) |
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (/ (sin (acos x)) x))) |
#s(approx (+ (/ 1 x) (tan (acos x))) #s(hole binary64 (+ (/ 1 x) (/ (sin (acos x)) x)))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (log (* -1 (sqrt -1))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (* -1 (sqrt -1)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (/ 1 x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x))))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x))))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6)))))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt -1))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (/ 1 x))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4))))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (* -1 (/ (+ (* -1 (/ x (sin (acos x)))) (* 1/2 (/ x (pow (sin (acos x)) 2)))) x))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (* -1 (/ (+ (* -1 (/ x (sin (acos x)))) (* -1 (/ (+ (* -1/2 (/ (pow x 2) (pow (sin (acos x)) 2))) (* 1/3 (/ (pow x 2) (pow (sin (acos x)) 3)))) x))) x))))) |
| Outputs |
|---|
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (* -1 (log x))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) #s(hole binary64 (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4)))))) |
#s(approx (log (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x))) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 2 binary64)) x)) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 2 binary64)) x)) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x))) |
#s(approx (+ (* (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) x) (/ 2 x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(literal -1/2 binary64)) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (- (* -1/8 (pow x 2)) 1/2))) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) #s(hole binary64 (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) |
#s(approx (+ (* (+ (* -1/16 (* x x)) -1/8) (* x x)) -1/2) (fma.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) x #s(literal -1/2 binary64))) |
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x))) |
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ 2 x))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) x))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x))) |
#s(approx (+ (* (+ (* -1/8 (* x x)) -1/2) x) (/ 2 x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 2 binary64)) x)) |
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(literal -1/2 binary64)) |
#s(approx (+ (* -1/8 (* x x)) -1/2) #s(hole binary64 (- (* -1/8 (pow x 2)) 1/2))) |
#s(approx (+ (* -1/8 (* x x)) -1/2) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (* -1 (log x)))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (sin (acos x)) (* -1 (log x))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (-.f64 (sin.f64 (acos.f64 x)) (log.f64 x))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (* -1 (log x)) (* x (+ (* -1/2 (/ (pow (sin (acos x)) 2) x)) (/ (sin (acos x)) x)))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64) (sin.f64 (acos.f64 x))) x) x (neg.f64 (log.f64 x)))) |
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#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (* -1 (/ (+ (* -1 (/ x (sin (acos x)))) (* 1/2 (/ x (pow (sin (acos x)) 2)))) x))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (-.f64 (log.f64 (/.f64 (sin.f64 (acos.f64 x)) x)) (/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (sin.f64 (acos.f64 x))) (neg.f64 x)) (sin.f64 (acos.f64 x))) x))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) #s(hole binary64 (+ (log (/ (sin (acos x)) x)) (* -1 (/ (+ (* -1 (/ x (sin (acos x)))) (* -1 (/ (+ (* -1/2 (/ (pow x 2) (pow (sin (acos x)) 2))) (* 1/3 (/ (pow x 2) (pow (sin (acos x)) 3)))) x))) x))))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (-.f64 (log.f64 (/.f64 (sin.f64 (acos.f64 x)) x)) (/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (sin.f64 (acos.f64 x)))) (pow.f64 (sin.f64 (acos.f64 x)) #s(literal 2 binary64))) x) (/.f64 x (sin.f64 (acos.f64 x))))) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 289 |
| 0 | 59 | 289 |
| 1 | 225 | 253 |
| 0 | 1720 | 244 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 2 binary64) x) |
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x))) |
(/.f64 #s(literal 1 binary64) x) |
(tan.f64 (acos.f64 x)) |
(*.f64 x x) |
(acos.f64 x) |
| Outputs |
|---|
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x)))) |
(-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) x)) |
(-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x)) |
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) (*.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x #s(literal -1/2 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x)) x)) |
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64))) (*.f64 x x))) |
(-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x) x)) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal -2 binary64) (neg.f64 x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 2 binary64) x) |
(neg.f64 (/.f64 #s(literal -2 binary64) x)) |
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (log.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))) (log.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))) (+.f64 (log.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))) (log.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))) (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 (log.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 2 binary64) (log.f64 x)))))) |
(-.f64 (log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) x)) (log.f64 x)) |
(-.f64 (log.f64 (neg.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)))) (log.f64 (*.f64 (neg.f64 x) x))) |
(-.f64 (log.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))) |
(/.f64 (/.f64 (neg.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))) x) (neg.f64 x)) |
(/.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)))) (*.f64 x x)) |
(/.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) x) x) |
(/.f64 (neg.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x))) (*.f64 x x))) |
(neg.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 x) x))) |
#s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 x x) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x)))) |
(-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x)) |
(-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 2 binary64) x)) |
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) x) x #s(literal -1/2 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) x)) x)) |
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/8 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))) |
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)))) (log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (log.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))) |
(log.f64 (+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) (neg.f64 x) (*.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) (sin.f64 (acos.f64 x)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 (sin.f64 (acos.f64 x)) x)) (*.f64 x x)) |
(/.f64 (-.f64 (sin.f64 (acos.f64 x)) #s(literal -1 binary64)) x) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (tan.f64 (acos.f64 x))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x)))) (/.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 (acos.f64 x)) #s(literal 3 binary64)) (fma.f64 (tan.f64 (acos.f64 x)) (-.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64))))) |
(+.f64 (tan.f64 (acos.f64 x)) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) (tan.f64 (acos.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 x)) |
(/.f64 (+.f64 (tan.f64 (acos.f64 x)) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (acos.f64 x)) (tan.f64 (PI.f64))))) |
(/.f64 (sin.f64 (+.f64 (PI.f64) (acos.f64 x))) (cos.f64 (+.f64 (PI.f64) (acos.f64 x)))) |
(/.f64 (sin.f64 (acos.f64 x)) x) |
(tan.f64 (+.f64 (+.f64 (PI.f64) (acos.f64 x)) (PI.f64))) |
(tan.f64 (+.f64 (PI.f64) (acos.f64 x))) |
(tan.f64 (acos.f64 x)) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 x) (asin.f64 x))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 x) (asin.f64 x) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 x)) |
(acos.f64 x) |
Compiled 9 879 to 1 319 computations (86.6% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 306 | 2 | 308 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 308 | 9 | 317 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x)) |
| ✓ | 54.4% | (log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))) |
| 52.8% | (log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (+.f64 x x)) (*.f64 x x))) | |
| ✓ | 33.9% | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))) |
| ✓ | 99.3% | (log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
| ✓ | 99.1% | (log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
| ✓ | 98.5% | (log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))) |
| ✓ | 98.9% | (log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
| 31.3% | #s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x))) |
Compiled 617 to 231 computations (62.6% saved)
| Inputs |
|---|
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* (* x x) -1/2) 2) #s(literal 2 binary64)) x))) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (+.f64 x x)) (*.f64 x x))) |
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
#s(approx (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
(-.f64 (log1p.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (log.f64 x)) |
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (tan.f64 (acos.f64 x)))) |
(log.f64 (/.f64 (fma.f64 (sin.f64 (acos.f64 x)) x x) (*.f64 x x))) |
(-.f64 (log1p.f64 (sin.f64 (acos.f64 x))) (log.f64 x)) |
| Outputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
3 calls:
| 6.0ms | x |
| 6.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 6.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 100.0% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 100.0% | 1 | x |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* (* x x) -1/2) 2) #s(literal 2 binary64)) x))) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (+.f64 x x)) (*.f64 x x))) |
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x x) (*.f64 x x))) |
| Outputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
3 calls:
| 24.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 5.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 99.3% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 99.3% | 1 | x |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* (* x x) -1/2) 2) #s(literal 2 binary64)) x))) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (+.f64 x x)) (*.f64 x x))) |
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))) |
| Outputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
3 calls:
| 4.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 4.0ms | x |
| 4.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 99.1% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 99.1% | 1 | x |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* (* x x) -1/2) 2) #s(literal 2 binary64)) x))) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (+.f64 x x)) (*.f64 x x))) |
(log.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))) |
| Outputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
3 calls:
| 7.0ms | x |
| 3.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 3.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 98.9% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 98.9% | 1 | x |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(approx (+ (* (* x x) -1/2) 2) #s(literal 2 binary64)) x))) |
(log.f64 #s(approx (/ (+ (* (sqrt (+ (* (neg x) x) 1)) x) x) (* x x)) (/.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
3 calls:
| 2.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 2.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 98.5% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 98.5% | 1 | x |
Compiled 26 to 18 computations (30.8% saved)
Total -20.0b remaining (-45.6%)
Threshold costs -20b (-45.6%)
| Inputs |
|---|
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) #s(approx (/ (+ (* (* x x) -1/2) 2) x) (*.f64 #s(literal -1/2 binary64) x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (sqrt.f64 #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x))) |
3 calls:
| 1.0ms | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 1.0ms | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.3% | 1 | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| 31.3% | 1 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 31.3% | 1 | x |
Compiled 26 to 18 computations (30.8% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 109 |
| 1 | 66 | 109 |
| 2 | 104 | 109 |
| 3 | 170 | 109 |
| 4 | 387 | 109 |
| 5 | 2537 | 109 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x))) |
| Outputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x)))) |
(log.f64 #s(approx (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (log (+ (/ 1 x) (tan (acos x)))) (neg.f64 (log.f64 x))) |
| 1× | fuel |
Compiled 117 to 42 computations (64.1% saved)
Compiled 260 to 102 computations (60.8% saved)
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