
Time bar (total: 12.2s)
| 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 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 62.5% | 62.5% | 37.5% | 0% | 0% | 0% | 0% | 5 |
| 68.8% | 68.7% | 31.2% | 0% | 0% | 0% | 0% | 6 |
| 71.9% | 71.8% | 28.1% | 0% | 0% | 0% | 0% | 7 |
| 73.4% | 73.4% | 26.5% | 0% | 0% | 0% | 0% | 8 |
| 74.2% | 74.2% | 25.8% | 0% | 0% | 0% | 0% | 9 |
| 74.6% | 74.6% | 25.4% | 0% | 0% | 0% | 0% | 10 |
| 74.8% | 74.8% | 25.2% | 0% | 0% | 0% | 0% | 11 |
| 74.9% | 74.9% | 25.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 1.3s | 4 376× | 1 | valid |
| 1.1s | 1 549× | 2 | valid |
| 227.0ms | 2 331× | 0 | valid |
ival-log: 1.2s (55.9% of total)ival-hypot: 639.0ms (30.2% of total)adjust: 156.0ms (7.4% of total)ival-add: 123.0ms (5.8% of total)ival-true: 7.0ms (0.3% of total)exact: 5.0ms (0.2% of total)ival-assert: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 132 | 0 | - | 0 | - | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 58 | 0 | - | 0 | - | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 58 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 132 | 0 |
+.f64 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) | cancellation | 58 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | oflow-rescue | 58 | 0 |
| ↳ | (*.f64 x x) | overflow | 58 | |
| ↳ | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 58 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 218 | 0 |
| - | 0 | 38 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 218 | 0 | 0 |
| - | 0 | 0 | 38 |
| number | freq |
|---|---|
| 0 | 38 |
| 1 | 188 |
| 2 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 246.0ms | 106× | 2 | valid |
| 151.0ms | 264× | 1 | valid |
| 14.0ms | 142× | 0 | valid |
Compiled 80 to 25 computations (68.8% saved)
ival-log: 242.0ms (62.3% of total)ival-mult: 106.0ms (27.3% of total)ival-hypot: 24.0ms (6.2% of total)adjust: 8.0ms (2.1% of total)ival-add: 8.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 30× | distribute-lft-neg-in |
| 28× | sub-neg |
| 26× | associate--r+ |
| 24× | neg-mul-1 |
| 22× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 23 | 19 |
| 2 | 48 | 19 |
| 3 | 88 | 19 |
| 4 | 137 | 19 |
| 5 | 184 | 19 |
| 6 | 211 | 19 |
| 7 | 214 | 19 |
| 0 | 7 | 9 |
| 0 | 12 | 9 |
| 1 | 16 | 9 |
| 0 | 16 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
Compiled 10 to 7 computations (30% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 19.8% | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | |
| cost-diff | 128 | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
| 8× | lower-+.f32 |
| 4× | lift-+.f64 |
| 4× | lower-+.f64 |
| 4× | +-commutative |
| 2× | lift-sqrt.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 33 |
| 0 | 12 | 33 |
| 1 | 16 | 33 |
| 0 | 16 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
x |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
x |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 13.501990523392527 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 13.7160833125957 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 30.31591439717768 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 29.0ms | 132× | 1 | valid |
| 26.0ms | 53× | 2 | valid |
| 5.0ms | 71× | 0 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-log: 24.0ms (51.8% of total)ival-hypot: 12.0ms (25.9% of total)adjust: 4.0ms (8.6% of total)ival-add: 4.0ms (8.6% of total)ival-mult: 2.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (+.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) (taylor inf x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) (taylor inf x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) (taylor 0 x) (#s(alt (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor -inf x) (#s(alt (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) (taylor -inf x) (#s(alt (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log (+ x (sqrt (+ (* x x) 1)))) |
| 1.0ms | x | @ | -inf | (log (+ x (sqrt (+ (* x x) 1)))) |
| 1.0ms | x | @ | inf | (log (+ x (sqrt (+ (* x x) 1)))) |
| 0.0ms | x | @ | inf | (+ (* x x) 1) |
| 0.0ms | x | @ | 0 | (+ (* x x) 1) |
| 1× | egg-herbie |
| 11 038× | lower-fma.f64 |
| 11 038× | lower-fma.f32 |
| 4 124× | lower-+.f64 |
| 4 124× | lower-+.f32 |
| 2 226× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 525 |
| 1 | 353 | 517 |
| 2 | 931 | 509 |
| 3 | 2909 | 479 |
| 4 | 7021 | 479 |
| 0 | 8073 | 448 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 x #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 7 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 #s(literal -1/2 binary64) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+.f64 x (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(-.f64 (neg.f64 x) (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
| 6 062× | lower-fma.f64 |
| 6 062× | lower-fma.f32 |
| 3 598× | lower-*.f32 |
| 3 596× | lower-*.f64 |
| 2 994× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 31 |
| 0 | 12 | 31 |
| 1 | 44 | 31 |
| 2 | 297 | 31 |
| 3 | 3155 | 31 |
| 0 | 8738 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 x x) |
| Outputs |
|---|
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(exp.f64 (log1p.f64 (*.f64 x x))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 x x))) #s(literal -1 binary64))) |
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fabs.f64 (fma.f64 x x #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(neg.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
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(*.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
Compiled 12 006 to 1 635 computations (86.4% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 413 | 8 | 421 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 414 | 8 | 422 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 19.8% | (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
| 26.7% | (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) | |
| ▶ | 11.9% | (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
| ▶ | 23.3% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
| 25.9% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))) | |
| 52.0% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| ▶ | 53.3% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
| ▶ | 51.9% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) |
Compiled 164 to 94 computations (42.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x x #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) | |
| cost-diff | 0 | (*.f64 x #s(literal 3/40 binary64)) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
| 330× | lower-fma.f32 |
| 322× | lower-fma.f64 |
| 236× | lower-*.f32 |
| 228× | lower-*.f64 |
| 126× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 170 |
| 0 | 48 | 162 |
| 1 | 71 | 162 |
| 2 | 95 | 162 |
| 3 | 151 | 162 |
| 4 | 230 | 162 |
| 5 | 250 | 162 |
| 6 | 250 | 162 |
| 7 | 316 | 162 |
| 8 | 317 | 162 |
| 9 | 318 | 162 |
| 0 | 318 | 160 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
x |
(*.f64 x #s(literal 3/40 binary64)) |
#s(literal 3/40 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(*.f64 x x) |
x |
(*.f64 x #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) |
x |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
x |
(*.f64 x #s(literal 3/40 binary64)) |
#s(literal 3/40 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(*.f64 x x) |
x |
(*.f64 x #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) |
x |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) |
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 x x #s(literal 1 binary64)) | |
| accuracy | 13.501990523392527 | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 13.7160833125957 | (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) | |
| accuracy | 30.31591439717768 | (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) | |
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) x) | |
| accuracy | 30.31591439717768 | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) | |
| accuracy | 48.158715588886885 | #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 13.7160833125957 | (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) | |
| accuracy | 29.413850397902035 | #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) | |
| accuracy | 30.31591439717768 | (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0546875 | (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) | |
| accuracy | 0.3203125 | (*.f64 x #s(literal -1/6 binary64)) | |
| accuracy | 30.772641807679022 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) | |
| accuracy | 0.08984375 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.09994125976844201 | (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) | |
| accuracy | 0.234375 | (*.f64 x #s(literal 3/40 binary64)) | |
| accuracy | 29.867567513282705 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
| 72.0ms | 132× | 1 | valid |
| 52.0ms | 53× | 2 | valid |
| 21.0ms | 71× | 0 | valid |
Compiled 150 to 24 computations (84% saved)
ival-log: 42.0ms (35.3% of total)const: 16.0ms (13.5% of total)ival-add: 16.0ms (13.5% of total)ival-mult: 16.0ms (13.5% of total)adjust: 14.0ms (11.8% of total)ival-hypot: 13.0ms (10.9% of total)ival-div: 2.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 3/40 binary64)) (patch (*.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) (patch (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (patch #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (patch (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) (taylor -inf x) (#s(alt #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) (taylor inf x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) (taylor inf x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) (taylor 0 x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (taylor 0 x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+ (* (* x x) (* x -1/6)) x) |
| 0.0ms | x | @ | inf | (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) |
| 0.0ms | x | @ | -inf | (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x) |
| 0.0ms | x | @ | inf | (+ (* (* x x) (* x -1/6)) x) |
| 0.0ms | x | @ | inf | (* x -1/6) |
| 1× | egg-herbie |
| 28 468× | lower-fma.f64 |
| 28 468× | lower-fma.f32 |
| 4 148× | lower-+.f64 |
| 4 148× | lower-+.f32 |
| 4 024× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 2061 |
| 1 | 425 | 1967 |
| 2 | 1145 | 1962 |
| 3 | 3573 | 1894 |
| 0 | 8351 | 1792 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
-1/6 |
(- (* 3/40 (pow x 2)) 1/6) |
(- (* 3/40 (pow x 2)) 1/6) |
(- (* 3/40 (pow x 2)) 1/6) |
(* 3/40 (pow x 2)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 2)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (log.f64 #s(literal 1/2 binary64))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x) |
(* 3/40 (pow x 5)) |
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* 3/40 (pow x 5)) |
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 3/40 (pow x 2)) 1/6) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
(- (* 3/40 (pow x 2)) 1/6) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
(- (* 3/40 (pow x 2)) 1/6) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
(* 3/40 x) |
(*.f64 x #s(literal 3/40 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (log.f64 #s(literal 1/2 binary64))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
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(/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(+.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(-.f64 (neg.f64 x) (fma.f64 x (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
| 7 630× | lower-fma.f32 |
| 7 622× | lower-fma.f64 |
| 4 750× | lower-*.f32 |
| 4 742× | lower-*.f64 |
| 4 026× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 156 |
| 0 | 48 | 148 |
| 1 | 156 | 148 |
| 2 | 1018 | 148 |
| 0 | 8309 | 146 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
(*.f64 x #s(literal 3/40 binary64)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(*.f64 x x) |
(*.f64 x #s(literal -1/6 binary64)) |
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(+.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) x) |
(+.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x (neg.f64 x)) x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x))))) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)) x x) |
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) x x) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -3/40 binary64) #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -3/40 binary64) #s(literal -1/6 binary64))) x) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))))))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x (neg.f64 x)) x))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))))))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x (neg.f64 x)) x)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))))))) |
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(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(exp.f64 (log1p.f64 (*.f64 x x))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fabs.f64 (fma.f64 x x #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(neg.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x))))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64))) |
Compiled 17 831 to 1 758 computations (90.1% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 665 | 17 | 682 |
| Fresh | 3 | 0 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 669 | 21 | 690 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 19.8% | (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
| 26.7% | (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) x)) | |
| ✓ | 11.9% | (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
| 25.9% | (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64)))) | |
| ✓ | 23.3% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
| 52.0% | #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x)) | |
| 53.3% | #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)) | |
| 51.9% | #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) | |
| 53.3% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| 52.3% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (*.f64 x (*.f64 x x)) x)) | |
| 52.6% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) | |
| 52.1% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 81/2560000 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x x)) x)) | |
| 53.3% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x x)) x)) | |
| ▶ | 52.3% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
| 51.9% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x x)) | |
| ▶ | 53.3% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
| 51.9% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)) | |
| ✓ | 51.9% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) |
| ▶ | 53.1% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x)) |
| ▶ | 53.3% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
| ▶ | 3.1% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
Compiled 689 to 339 computations (50.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) | |
| cost-diff | 320 | (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) | |
| cost-diff | 768 | (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x)) | |
| cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
| 5 190× | lower-fma.f32 |
| 5 176× | lower-fma.f64 |
| 4 444× | lower-*.f32 |
| 4 420× | lower-*.f64 |
| 3 706× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 488 |
| 0 | 80 | 424 |
| 1 | 155 | 405 |
| 2 | 306 | 395 |
| 3 | 644 | 395 |
| 4 | 1592 | 395 |
| 5 | 2191 | 395 |
| 6 | 2439 | 395 |
| 7 | 2707 | 395 |
| 8 | 2922 | 395 |
| 9 | 3217 | 395 |
| 10 | 3525 | 395 |
| 11 | 4151 | 395 |
| 12 | 4286 | 395 |
| 13 | 4481 | 395 |
| 14 | 4561 | 395 |
| 15 | 5094 | 395 |
| 16 | 5094 | 395 |
| 17 | 5165 | 395 |
| 18 | 5165 | 395 |
| 19 | 6605 | 395 |
| 20 | 7485 | 395 |
| 21 | 7485 | 395 |
| 0 | 8842 | 373 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) |
x |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
(*.f64 x #s(literal 3/40 binary64)) |
#s(literal 3/40 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
x |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 x #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x) |
#s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(*.f64 x x) |
x |
#s(literal 3/40 binary64) |
(*.f64 x (*.f64 x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
x |
(*.f64 x #s(literal 3/40 binary64)) |
#s(literal 3/40 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) |
#s(literal 27/64000 binary64) |
#s(literal -1/216 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) |
#s(literal 1 binary64) |
(+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) |
(*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) |
#s(literal 9/1600 binary64) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/80 binary64)) |
#s(literal 1/80 binary64) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) |
x |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
(*.f64 x #s(literal 3/40 binary64)) |
#s(literal 3/40 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) |
#s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
#s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
x |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 x #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) (*.f64 x (*.f64 x x)) x) |
#s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) |
#s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 x (*.f64 x #s(literal 3/40 binary64)))) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(*.f64 x (*.f64 x #s(literal 3/40 binary64))) |
(*.f64 x x) |
x |
#s(literal 3/40 binary64) |
(*.f64 x (*.f64 x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
x |
(*.f64 x #s(literal 3/40 binary64)) |
#s(literal 3/40 binary64) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 27/64000 binary64)))) #s(literal -1/216 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64)) #s(literal 1/36 binary64))) x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 27/64000 binary64)))) #s(literal -1/216 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64)) #s(literal 1/36 binary64))) x) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 27/64000 binary64)))) #s(literal -1/216 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 27/64000 binary64)))) #s(literal -1/216 binary64)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 27/64000 binary64))) |
#s(literal 27/64000 binary64) |
#s(literal -1/216 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64)) #s(literal 1/36 binary64))) |
#s(literal 1 binary64) |
(+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64)) #s(literal 1/36 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) #s(literal 1/36 binary64)) |
(*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) |
#s(literal 9/1600 binary64) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/80 binary64)) |
#s(literal 1/80 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.205410009768442 | (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) | |
| accuracy | 0.3930375366523893 | (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) | |
| accuracy | 22.759781392248684 | (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) | |
| accuracy | 29.867567513282705 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) | |
| accuracy | 0.09832144537930633 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.09994125976844202 | (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) | |
| accuracy | 0.234375 | (*.f64 x #s(literal 3/40 binary64)) | |
| accuracy | 29.867567513282705 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) | |
| accuracy | 0.08984375 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.23046875 | (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) | |
| accuracy | 29.867567513282705 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x)) | |
| accuracy | 32.43175792777624 | #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) | |
| accuracy | 0.109375 | (*.f64 x (*.f64 x #s(literal -1/6 binary64))) | |
| accuracy | 0.3203125 | (*.f64 x #s(literal -1/6 binary64)) | |
| accuracy | 30.772641807679022 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) | |
| accuracy | 31.622066769670752 | #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) | |
| accuracy | 0.09994125976844202 | (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) | |
| accuracy | 0.19140625 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) | |
| accuracy | 0.234375 | (*.f64 x #s(literal 3/40 binary64)) | |
| accuracy | 29.867567513282705 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
| 112.0ms | 132× | 1 | valid |
| 61.0ms | 53× | 2 | valid |
| 25.0ms | 71× | 0 | valid |
Compiled 381 to 44 computations (88.5% saved)
ival-mult: 41.0ms (27.3% of total)const: 32.0ms (21.3% of total)ival-log: 24.0ms (16% of total)ival-add: 18.0ms (12% of total)adjust: 15.0ms (10% of total)ival-hypot: 12.0ms (8% of total)ival-div: 9.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) (patch #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (patch (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (patch (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (patch #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (patch (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) (patch (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 3/40 binary64)) (patch (*.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) (taylor inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log 1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 3) (- (* 27/64000 (pow x 6)) 1/216)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 27/64000 (pow x 6)) 1/216)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 27/64000 (pow x 6)) 1/216)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 27/64000 (pow x 9)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 9) (- 27/64000 (* 1/216 (/ 1 (pow x 6))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 9) (- 27/64000 (* 1/216 (/ 1 (pow x 6))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 9) (- 27/64000 (* 1/216 (/ 1 (pow x 6))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 27/64000 (pow x 9)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 27/64000))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 27/64000))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 27/64000))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/40 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3/40 binary64)) (patch (*.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/40 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3/40 binary64)) (patch (*.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/40 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3/40 binary64)) (patch (*.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/40 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3/40 binary64)) (patch (*.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/40 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3/40 binary64)) (patch (*.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/40 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3/40 binary64)) (patch (*.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/40 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3/40 binary64)) (patch (*.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/40 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3/40 binary64)) (patch (*.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/40 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3/40 binary64)) (patch (*.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/40 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3/40 binary64)) (patch (*.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/40 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3/40 binary64)) (patch (*.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3/40 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3/40 binary64)) (patch (*.f64 x #s(literal 3/40 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/6 binary64)) (patch (*.f64 x #s(literal -1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 9/1600 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9/1600 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9/1600 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9/1600 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9/1600 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9/1600 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9/1600 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9/1600 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9/1600 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9/1600 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9/1600 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 9/1600 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/80 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/80 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/80 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/80 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/80 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/80 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/80 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/80 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/80 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/80 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/80 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/80 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/80 binary64)) #<representation binary64>) () ())) ()) |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (+ (+ (* (* x x) (* (* x x) 9/1600)) 1/36) (* (* x x) 1/80)) |
| 1.0ms | x | @ | inf | (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) |
| 1.0ms | x | @ | -inf | (+ (* (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (/ 1 (+ (+ (* (* x x) (* (* x x) 9/1600)) 1/36) (* (* x x) 1/80)))) x) |
| 1.0ms | x | @ | inf | (+ (* (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (/ 1 (+ (+ (* (* x x) (* (* x x) 9/1600)) 1/36) (* (* x x) 1/80)))) x) |
| 0.0ms | x | @ | inf | (+ (+ (* (* x x) (* (* x x) 9/1600)) 1/36) (* (* x x) 1/80)) |
| 1× | egg-herbie |
| 12 880× | lower-fma.f64 |
| 12 880× | lower-fma.f32 |
| 3 460× | lower-+.f64 |
| 3 460× | lower-+.f32 |
| 3 322× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 2722 |
| 1 | 425 | 2603 |
| 2 | 1124 | 2602 |
| 3 | 3268 | 2602 |
| 4 | 7561 | 2602 |
| 0 | 8093 | 2491 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1/6 x) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
(* 3/40 (pow x 3)) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
-1/6 |
(- (* 3/40 (pow x 2)) 1/6) |
(- (* 3/40 (pow x 2)) 1/6) |
(- (* 3/40 (pow x 2)) 1/6) |
(* 3/40 (pow x 2)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 2)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
-1/6 |
(- (* 3/40 (pow x 2)) 1/6) |
(- (* 3/40 (pow x 2)) 1/6) |
(- (* 3/40 (pow x 2)) 1/6) |
(* 3/40 (pow x 2)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 2)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
(* 3/40 (pow x 2)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(/ 1 x) |
(/ (+ 1 (* 1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/6 (* -17/360 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/540 (pow x 2)) 17/360))))) x) |
(/ 40/3 (pow x 5)) |
(/ (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 5)) |
(/ (- (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (/ 27200/243 (pow x 4))) (pow x 5)) |
(/ (+ 40/3 (+ (* -1 (/ (+ 27200/243 (* 1408000/2187 (/ 1 (pow x 2)))) (pow x 4))) (* 800/27 (/ 1 (pow x 2))))) (pow x 5)) |
(/ 40/3 (pow x 5)) |
(/ (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 5)) |
(* -1 (/ (- (/ 27200/243 (pow x 4)) (+ 40/3 (* 800/27 (/ 1 (pow x 2))))) (pow x 5))) |
(* -1 (/ (- (+ (* 1408000/2187 (/ 1 (pow x 6))) (/ 27200/243 (pow x 4))) (+ 40/3 (* 800/27 (/ 1 (pow x 2))))) (pow x 5))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
1/36 |
(+ 1/36 (* 1/80 (pow x 2))) |
(+ 1/36 (* (pow x 2) (+ 1/80 (* 9/1600 (pow x 2))))) |
(+ 1/36 (* (pow x 2) (+ 1/80 (* 9/1600 (pow x 2))))) |
(* 9/1600 (pow x 4)) |
(* (pow x 4) (+ 9/1600 (* 1/80 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 9/1600 (+ (/ 1/36 (pow x 4)) (* 1/80 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 9/1600 (+ (/ 1/36 (pow x 4)) (* 1/80 (/ 1 (pow x 2)))))) |
(* 9/1600 (pow x 4)) |
(* (pow x 4) (+ 9/1600 (* 1/80 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 9/1600 (+ (/ 1/36 (pow x 4)) (* 1/80 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 9/1600 (+ (/ 1/36 (pow x 4)) (* 1/80 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1/216 (pow x 3)) |
(* (pow x 3) (- (* 27/64000 (pow x 6)) 1/216)) |
(* (pow x 3) (- (* 27/64000 (pow x 6)) 1/216)) |
(* (pow x 3) (- (* 27/64000 (pow x 6)) 1/216)) |
(* 27/64000 (pow x 9)) |
(* (pow x 9) (- 27/64000 (* 1/216 (/ 1 (pow x 6))))) |
(* (pow x 9) (- 27/64000 (* 1/216 (/ 1 (pow x 6))))) |
(* (pow x 9) (- 27/64000 (* 1/216 (/ 1 (pow x 6))))) |
(* 27/64000 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 27/64000))) |
(* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 27/64000))) |
(* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 27/64000))) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* 3/40 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 9/1600 (pow x 2)) |
(* 9/1600 (pow x 2)) |
(* 9/1600 (pow x 2)) |
(* 9/1600 (pow x 2)) |
(* 9/1600 (pow x 2)) |
(* 9/1600 (pow x 2)) |
(* 9/1600 (pow x 2)) |
(* 9/1600 (pow x 2)) |
(* 9/1600 (pow x 2)) |
(* 9/1600 (pow x 2)) |
(* 9/1600 (pow x 2)) |
(* 9/1600 (pow x 2)) |
(* 1/80 (pow x 2)) |
(* 1/80 (pow x 2)) |
(* 1/80 (pow x 2)) |
(* 1/80 (pow x 2)) |
(* 1/80 (pow x 2)) |
(* 1/80 (pow x 2)) |
(* 1/80 (pow x 2)) |
(* 1/80 (pow x 2)) |
(* 1/80 (pow x 2)) |
(* 1/80 (pow x 2)) |
(* 1/80 (pow x 2)) |
(* 1/80 (pow x 2)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 x) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x) |
(* 3/40 (pow x 5)) |
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 3/40 (pow x 5)) |
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) |
(* 3/40 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
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(*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) |
(* 9/1600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) |
(* 9/1600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) |
(* 9/1600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) |
(* 9/1600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) |
(* 9/1600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) |
(* 9/1600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) |
(* 9/1600 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) |
(* 1/80 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/80 binary64))) |
(* 1/80 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/80 binary64))) |
(* 1/80 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/80 binary64))) |
(* 1/80 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/80 binary64))) |
(* 1/80 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/80 binary64))) |
(* 1/80 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/80 binary64))) |
(* 1/80 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/80 binary64))) |
(* 1/80 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/80 binary64))) |
(* 1/80 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/80 binary64))) |
(* 1/80 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/80 binary64))) |
(* 1/80 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/80 binary64))) |
(* 1/80 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/80 binary64))) |
| 9 058× | lower-fma.f32 |
| 9 044× | lower-fma.f64 |
| 4 506× | lower-*.f32 |
| 4 482× | lower-*.f64 |
| 3 312× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 390 |
| 0 | 80 | 334 |
| 1 | 305 | 316 |
| 2 | 2046 | 316 |
| 0 | 8479 | 298 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x) |
#s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 x #s(literal 3/40 binary64)) |
(*.f64 x #s(literal -1/6 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/80 binary64)) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x)) |
(+.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) x) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x)))) (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x x) |
(neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x))))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x)))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x))) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x))) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))))))))) |
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(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))) |
(fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9/1600 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 27/64000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9/1600 binary64)))) (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 19683/262144000000000 binary64))) #s(literal -1/10077696 binary64))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 729/4096000000 binary64)) #s(literal 1/46656 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/512000 binary64)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 729/4096000000 binary64)) #s(literal -1/46656 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))) #s(literal 1/216 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 19683/262144000000000 binary64))) #s(literal -1/10077696 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 729/4096000000 binary64)) #s(literal 1/46656 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/512000 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 729/4096000000 binary64)) #s(literal -1/46656 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))) #s(literal 1/216 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 19683/262144000000000 binary64))) #s(literal -1/10077696 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 729/4096000000 binary64)) #s(literal 1/46656 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/512000 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 729/4096000000 binary64)) #s(literal -1/46656 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))) #s(literal 1/216 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 19683/262144000000000 binary64))) #s(literal -1/10077696 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 729/4096000000 binary64)) #s(literal 1/46656 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/512000 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 729/4096000000 binary64)) #s(literal -1/46656 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))) #s(literal 1/216 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))))))))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))) #s(literal -1/216 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))) #s(literal -1/216 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))) #s(literal -1/216 binary64)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))) #s(literal -1/216 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))) #s(literal -1/216 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))) #s(literal -1/216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))) #s(literal -1/216 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))) #s(literal -1/216 binary64))) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9/1600 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal 3/40 binary64) (*.f64 x x))) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 x (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))) #s(literal -1/216 binary64)) (*.f64 x x)) x) |
(*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64))) #s(literal -1/216 binary64))) x) x) |
(*.f64 x #s(literal 3/40 binary64)) |
(*.f64 #s(literal 3/40 binary64) x) |
(*.f64 x #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x #s(literal 9/1600 binary64))) |
(*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) |
(*.f64 #s(literal 9/1600 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 9/1600 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 1/80 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/80 binary64)) |
(*.f64 #s(literal 1/80 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/80 binary64)) x) |
Compiled 42 247 to 1 837 computations (95.7% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 013 | 6 | 1 019 |
| Fresh | 8 | 4 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 025 | 15 | 1 040 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 19.8% | (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
| 26.7% | (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) x)) | |
| ✓ | 11.9% | (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
| 25.9% | (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64)))) | |
| ✓ | 23.3% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
| 52.0% | #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x)) | |
| 51.9% | #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) | |
| ✓ | 53.3% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
| ▶ | 53.1% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
| ▶ | 53.9% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) |
| ▶ | 54.0% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
| ▶ | 3.1% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) |
| 3.1% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) | |
| ▶ | 3.1% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
| ✓ | 3.1% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
Compiled 300 to 161 computations (46.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) | |
| cost-diff | 192 | (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) | |
| cost-diff | 768 | (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) | |
| cost-diff | 320 | (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (*.f64 x (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
| 6 578× | lower-*.f32 |
| 6 558× | lower-*.f64 |
| 4 978× | lower-fma.f32 |
| 4 972× | lower-fma.f64 |
| 2 960× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 528 |
| 0 | 83 | 468 |
| 1 | 152 | 449 |
| 2 | 256 | 439 |
| 3 | 410 | 439 |
| 4 | 603 | 439 |
| 5 | 630 | 439 |
| 6 | 808 | 439 |
| 7 | 811 | 439 |
| 8 | 815 | 439 |
| 9 | 817 | 439 |
| 10 | 825 | 439 |
| 11 | 850 | 439 |
| 12 | 893 | 435 |
| 13 | 971 | 435 |
| 14 | 1392 | 435 |
| 15 | 2955 | 435 |
| 16 | 3523 | 435 |
| 17 | 4116 | 435 |
| 18 | 4658 | 435 |
| 19 | 5483 | 435 |
| 20 | 6533 | 435 |
| 21 | 6954 | 435 |
| 22 | 7199 | 435 |
| 23 | 7417 | 435 |
| 24 | 7613 | 435 |
| 25 | 7803 | 435 |
| 0 | 8442 | 398 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal -1/6 binary64) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
(fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) |
#s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64))) |
x |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
(*.f64 x x) |
#s(literal -1/216 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) |
#s(literal 1 binary64) |
(+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) |
(*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) |
#s(literal 9/1600 binary64) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/80 binary64)) |
#s(literal 1/80 binary64) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
#s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
x |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
#s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal -1/6 binary64) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 x (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64)) #s(literal 1/36 binary64))))) |
(fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) |
(+.f64 x (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) |
#s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64))) |
x |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
(*.f64 x x) |
#s(literal -1/216 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64)) #s(literal 1/36 binary64))) |
#s(literal 1 binary64) |
(+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64)) #s(literal 1/36 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) |
(fma.f64 x (*.f64 #s(literal 9/1600 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) |
(*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) |
#s(literal 9/1600 binary64) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/80 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/80 binary64))) |
#s(literal 1/80 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.41397916430165915 | (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) | |
| accuracy | 22.759781392248684 | (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) | |
| accuracy | 29.867567513282705 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) | |
| accuracy | 30.96358452555652 | #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) | |
| accuracy | 0.3203125 | (*.f64 x #s(literal 1/6 binary64)) | |
| accuracy | 13.565277556316927 | (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) | |
| accuracy | 29.867567513282705 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) | |
| accuracy | 30.20166794885709 | #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) | |
| accuracy | 0.08984375 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) | |
| accuracy | 30.772641807679022 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) | |
| accuracy | 31.622066769670752 | #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) | |
| accuracy | 0.0703125 | (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) | |
| accuracy | 0.234375 | (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) | |
| accuracy | 30.772641807679022 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) | |
| accuracy | 31.622066769670752 | #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.06640625 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 29.313838510792873 | #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 29.867567513282705 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
| 195.0ms | 132× | 1 | valid |
| 154.0ms | 53× | 2 | valid |
| 45.0ms | 71× | 0 | valid |
Compiled 340 to 49 computations (85.6% saved)
ival-mult: 175.0ms (54.8% of total)ival-add: 42.0ms (13.1% of total)const: 38.0ms (11.9% of total)ival-log: 24.0ms (7.5% of total)adjust: 15.0ms (4.7% of total)ival-hypot: 13.0ms (4.1% of total)ival-div: 12.0ms (3.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) (patch #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) (patch (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (patch #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (patch (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (patch #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) (patch (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) (patch (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) #<representation binary64>) () ()) |
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#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* 3/40 (pow x 5)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 3/40 (pow x 5)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/540 (pow x 2)) 17/360))))) x) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 5)) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (/ 27200/243 (pow x 4))) (pow x 5)) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 40/3 (+ (* -1 (/ (+ 27200/243 (* 1408000/2187 (/ 1 (pow x 2)))) (pow x 4))) (* 800/27 (/ 1 (pow x 2))))) (pow x 5)) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (log 1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) (patch #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (patch #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 27/64000 (pow x 6)) 1/216)) (taylor 0 x) (#s(alt #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (patch #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 27/64000 (pow x 6)) 1/216)) (taylor 0 x) (#s(alt #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (patch #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (- (* 27/64000 (pow x 6)) 1/216)) (taylor 0 x) (#s(alt #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (patch #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 27/64000 (pow x 9)) (taylor inf x) (#s(alt #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (patch #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 9) (- 27/64000 (* 1/216 (/ 1 (pow x 6))))) (taylor inf x) (#s(alt #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (patch #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 9) (- 27/64000 (* 1/216 (/ 1 (pow x 6))))) (taylor inf x) (#s(alt #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (patch #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 9) (- 27/64000 (* 1/216 (/ 1 (pow x 6))))) (taylor inf x) (#s(alt #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (patch #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 27/64000 (pow x 9)) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (patch #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 27/64000))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (patch #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 27/64000))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (patch #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 27/64000))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (patch #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/216 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -1/216 binary64)) #<representation binary64>) () ())) ()) |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/ (+ (* x (* x 1/6)) 1) x) |
| 0.0ms | x | @ | 0 | (/ (+ (* x (* x 1/6)) 1) x) |
| 0.0ms | x | @ | inf | (* (* x x) -1/216) |
| 0.0ms | x | @ | -inf | (/ 1 x) |
| 0.0ms | x | @ | 0 | (* (* x x) -1/216) |
| 1× | egg-herbie |
| 8 184× | lower-fma.f64 |
| 8 184× | lower-fma.f32 |
| 3 414× | lower-+.f64 |
| 3 414× | lower-+.f32 |
| 2 732× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 2484 |
| 1 | 420 | 2358 |
| 2 | 1078 | 2356 |
| 3 | 3029 | 2344 |
| 4 | 6756 | 2344 |
| 0 | 8077 | 2246 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(/ 1 x) |
(/ (+ 1 (* 1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/6 (* -17/360 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/540 (pow x 2)) 17/360))))) x) |
(/ 40/3 (pow x 5)) |
(/ (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 5)) |
(/ (- (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (/ 27200/243 (pow x 4))) (pow x 5)) |
(/ (+ 40/3 (+ (* -1 (/ (+ 27200/243 (* 1408000/2187 (/ 1 (pow x 2)))) (pow x 4))) (* 800/27 (/ 1 (pow x 2))))) (pow x 5)) |
(/ 40/3 (pow x 5)) |
(/ (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 5)) |
(* -1 (/ (- (/ 27200/243 (pow x 4)) (+ 40/3 (* 800/27 (/ 1 (pow x 2))))) (pow x 5))) |
(* -1 (/ (- (+ (* 1408000/2187 (/ 1 (pow x 6))) (/ 27200/243 (pow x 4))) (+ 40/3 (* 800/27 (/ 1 (pow x 2))))) (pow x 5))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ 1 x) |
(/ (+ 1 (* 1/6 (pow x 2))) x) |
(/ (+ 1 (* 1/6 (pow x 2))) x) |
(/ (+ 1 (* 1/6 (pow x 2))) x) |
(* 1/6 x) |
(* x (+ 1/6 (/ 1 (pow x 2)))) |
(* x (+ 1/6 (/ 1 (pow x 2)))) |
(* x (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/6 x) |
(* x (+ 1/6 (/ 1 (pow x 2)))) |
(* x (+ 1/6 (/ 1 (pow x 2)))) |
(* x (+ 1/6 (/ 1 (pow x 2)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(/ 1 x) |
(/ (+ 1 (* 1/6 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/6 (* -17/360 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/540 (pow x 2)) 17/360))))) x) |
(/ 40/3 (pow x 5)) |
(/ (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 5)) |
(/ (- (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (/ 27200/243 (pow x 4))) (pow x 5)) |
(/ (+ 40/3 (+ (* -1 (/ (+ 27200/243 (* 1408000/2187 (/ 1 (pow x 2)))) (pow x 4))) (* 800/27 (/ 1 (pow x 2))))) (pow x 5)) |
(/ 40/3 (pow x 5)) |
(/ (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 5)) |
(* -1 (/ (- (/ 27200/243 (pow x 4)) (+ 40/3 (* 800/27 (/ 1 (pow x 2))))) (pow x 5))) |
(* -1 (/ (- (+ (* 1408000/2187 (/ 1 (pow x 6))) (/ 27200/243 (pow x 4))) (+ 40/3 (* 800/27 (/ 1 (pow x 2))))) (pow x 5))) |
1/36 |
(+ 1/36 (* 1/80 (pow x 2))) |
(+ 1/36 (* (pow x 2) (+ 1/80 (* 9/1600 (pow x 2))))) |
(+ 1/36 (* (pow x 2) (+ 1/80 (* 9/1600 (pow x 2))))) |
(* 9/1600 (pow x 4)) |
(* (pow x 4) (+ 9/1600 (* 1/80 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 9/1600 (+ (/ 1/36 (pow x 4)) (* 1/80 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 9/1600 (+ (/ 1/36 (pow x 4)) (* 1/80 (/ 1 (pow x 2)))))) |
(* 9/1600 (pow x 4)) |
(* (pow x 4) (+ 9/1600 (* 1/80 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 9/1600 (+ (/ 1/36 (pow x 4)) (* 1/80 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 9/1600 (+ (/ 1/36 (pow x 4)) (* 1/80 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1/216 (pow x 3)) |
(* (pow x 3) (- (* 27/64000 (pow x 6)) 1/216)) |
(* (pow x 3) (- (* 27/64000 (pow x 6)) 1/216)) |
(* (pow x 3) (- (* 27/64000 (pow x 6)) 1/216)) |
(* 27/64000 (pow x 9)) |
(* (pow x 9) (- 27/64000 (* 1/216 (/ 1 (pow x 6))))) |
(* (pow x 9) (- 27/64000 (* 1/216 (/ 1 (pow x 6))))) |
(* (pow x 9) (- 27/64000 (* 1/216 (/ 1 (pow x 6))))) |
(* 27/64000 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 27/64000))) |
(* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 27/64000))) |
(* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 27/64000))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* -1/216 (pow x 2)) |
(* -1/216 (pow x 2)) |
(* -1/216 (pow x 2)) |
(* -1/216 (pow x 2)) |
(* -1/216 (pow x 2)) |
(* -1/216 (pow x 2)) |
(* -1/216 (pow x 2)) |
(* -1/216 (pow x 2)) |
(* -1/216 (pow x 2)) |
(* -1/216 (pow x 2)) |
(* -1/216 (pow x 2)) |
(* -1/216 (pow x 2)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 3/40 (pow x 5)) |
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* 3/40 (pow x 5)) |
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/6 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (+ 1/6 (* -17/360 (pow x 2))))) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/540 (pow x 2)) 17/360))))) x) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/540 binary64) #s(literal -17/360 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) |
(/ 40/3 (pow x 5)) |
(/.f64 #s(literal 40/3 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal 800/27 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (/ 27200/243 (pow x 4))) (pow x 5)) |
(/.f64 (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal 800/27 binary64) (*.f64 x x))) (/.f64 #s(literal -27200/243 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 40/3 (+ (* -1 (/ (+ 27200/243 (* 1408000/2187 (/ 1 (pow x 2)))) (pow x 4))) (* 800/27 (/ 1 (pow x 2))))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 40/3 binary64) (+.f64 (/.f64 #s(literal 800/27 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -27200/243 binary64) (/.f64 #s(literal -1408000/2187 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 5 binary64))) |
(/ 40/3 (pow x 5)) |
(/.f64 #s(literal 40/3 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal 800/27 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (/ (- (/ 27200/243 (pow x 4)) (+ 40/3 (* 800/27 (/ 1 (pow x 2))))) (pow x 5))) |
(/.f64 (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal 800/27 binary64) (*.f64 x x))) (/.f64 #s(literal -27200/243 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (/ (- (+ (* 1408000/2187 (/ 1 (pow x 6))) (/ 27200/243 (pow x 4))) (+ 40/3 (* 800/27 (/ 1 (pow x 2))))) (pow x 5))) |
(/.f64 (+.f64 (/.f64 #s(literal -27200/243 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 800/27 binary64) (*.f64 x x)) (-.f64 #s(literal 40/3 binary64) (/.f64 #s(literal 1408000/2187 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 5 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
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(/.f64 (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal 800/27 binary64) (*.f64 x x))) (/.f64 #s(literal -27200/243 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 40/3 (+ (* -1 (/ (+ 27200/243 (* 1408000/2187 (/ 1 (pow x 2)))) (pow x 4))) (* 800/27 (/ 1 (pow x 2))))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 40/3 binary64) (+.f64 (/.f64 #s(literal 800/27 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -27200/243 binary64) (/.f64 #s(literal -1408000/2187 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 5 binary64))) |
(/ 40/3 (pow x 5)) |
(/.f64 #s(literal 40/3 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (+ 40/3 (* 800/27 (/ 1 (pow x 2)))) (pow x 5)) |
(/.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal 800/27 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (/ (- (/ 27200/243 (pow x 4)) (+ 40/3 (* 800/27 (/ 1 (pow x 2))))) (pow x 5))) |
(/.f64 (+.f64 (+.f64 #s(literal 40/3 binary64) (/.f64 #s(literal 800/27 binary64) (*.f64 x x))) (/.f64 #s(literal -27200/243 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (/ (- (+ (* 1408000/2187 (/ 1 (pow x 6))) (/ 27200/243 (pow x 4))) (+ 40/3 (* 800/27 (/ 1 (pow x 2))))) (pow x 5))) |
(/.f64 (+.f64 (/.f64 #s(literal -27200/243 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 800/27 binary64) (*.f64 x x)) (-.f64 #s(literal 40/3 binary64) (/.f64 #s(literal 1408000/2187 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 5 binary64))) |
1/36 |
#s(literal 1/36 binary64) |
(+ 1/36 (* 1/80 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/80 (* 9/1600 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64)) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/80 (* 9/1600 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64)) #s(literal 1/36 binary64)) |
(* 9/1600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64)) |
(* (pow x 4) (+ 9/1600 (* 1/80 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64))) |
(* (pow x 4) (+ 9/1600 (+ (/ 1/36 (pow x 4)) (* 1/80 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/36 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 9/1600 (+ (/ 1/36 (pow x 4)) (* 1/80 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/36 binary64) (*.f64 x x)))) |
(* 9/1600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 9/1600 binary64)) |
(* (pow x 4) (+ 9/1600 (* 1/80 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64))) |
(* (pow x 4) (+ 9/1600 (+ (/ 1/36 (pow x 4)) (* 1/80 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/36 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 9/1600 (+ (/ 1/36 (pow x 4)) (* 1/80 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 9/1600 binary64)) #s(literal 1/80 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/36 binary64) (*.f64 x x)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 3/40 (pow x 5)) |
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* 3/40 (pow x 5)) |
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* -1/216 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64))) |
(* (pow x 3) (- (* 27/64000 (pow x 6)) 1/216)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/64000 binary64) #s(literal -1/216 binary64)))) |
(* (pow x 3) (- (* 27/64000 (pow x 6)) 1/216)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/64000 binary64) #s(literal -1/216 binary64)))) |
(* (pow x 3) (- (* 27/64000 (pow x 6)) 1/216)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/64000 binary64) #s(literal -1/216 binary64)))) |
(* 27/64000 (pow x 9)) |
(*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- 27/64000 (* 1/216 (/ 1 (pow x 6))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 27/64000 binary64) (/.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* (pow x 9) (- 27/64000 (* 1/216 (/ 1 (pow x 6))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 27/64000 binary64) (/.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* (pow x 9) (- 27/64000 (* 1/216 (/ 1 (pow x 6))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 27/64000 binary64) (/.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* 27/64000 (pow x 9)) |
(*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 27/64000))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 27/64000 binary64) (/.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 27/64000))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 27/64000 binary64) (/.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* -1 (* (pow x 9) (- (* 1/216 (/ 1 (pow x 6))) 27/64000))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 27/64000 binary64) (/.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* -1/216 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
(* -1/216 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
(* -1/216 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
(* -1/216 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
(* -1/216 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
(* -1/216 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
(* -1/216 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
(* -1/216 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
(* -1/216 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
(* -1/216 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
(* -1/216 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
(* -1/216 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
| 8 048× | lower-fma.f32 |
| 8 042× | lower-fma.f64 |
| 4 212× | lower-*.f32 |
| 4 192× | lower-*.f64 |
| 3 394× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 453 |
| 0 | 83 | 393 |
| 1 | 305 | 372 |
| 2 | 2020 | 372 |
| 0 | 8293 | 342 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(*.f64 x (*.f64 x x)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) |
#s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) |
(+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))) |
(fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
#s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))))) |
(pow.f64 #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64))))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))))))) (neg.f64 (-.f64 x (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64))))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))))) (-.f64 (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64))))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))))) (-.f64 (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x)) (/.f64 (/.f64 (*.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64))))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))))) (-.f64 (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x)) (*.f64 (/.f64 (/.f64 (*.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64))))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))))) (-.f64 (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x)))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))))) (/.f64 (*.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64))))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))))) (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x) (-.f64 (/.f64 (*.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64))))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))))) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))))) (/.f64 (*.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64))))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))))))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64))))) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 x (/.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9/1600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))))) |
#s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) |
(*.f64 #s(literal 1 binary64) #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64))))) |
(*.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 x (*.f64 x #s(literal -1/216 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/216 binary64)) |
(*.f64 #s(literal -1/216 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/216 binary64)) x) |
Compiled 15 994 to 1 076 computations (93.3% saved)
16 alts after pruning (8 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 558 | 3 | 561 |
| Fresh | 0 | 5 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 560 | 16 | 576 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 19.8% | (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
| 26.7% | (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) x)) | |
| ✓ | 11.9% | (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
| 25.9% | (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64)))) | |
| ✓ | 23.3% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
| 52.0% | #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x)) | |
| 51.9% | #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) | |
| ✓ | 53.3% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
| 53.1% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (* x x) (* (* x x) 9/1600)) 1/36) (* (* x x) 1/80)) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x)) | |
| ✓ | 54.0% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
| 54.1% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))) | |
| 4.5% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64)))))) | |
| ✓ | 3.1% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) |
| 3.1% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) | |
| ✓ | 3.1% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
| ✓ | 3.1% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
Compiled 682 to 211 computations (69.1% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (* x x) (* (* x x) 9/1600)) 1/36) (* (* x x) 1/80)) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))) |
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 81/2560000 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x x)) x)) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) x)) |
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| Outputs |
|---|
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) |
3 calls:
| 106.0ms | x |
| 9.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 8.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | x |
| 88.0% | 3 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 88.0% | 3 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
Compiled 21 to 14 computations (33.3% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (* x x) (* (* x x) 9/1600)) 1/36) (* (* x x) 1/80)) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))) |
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 81/2560000 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x x)) x)) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
| Outputs |
|---|
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))) |
1 calls:
| 68.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (* x x) (* (* x x) 9/1600)) 1/36) (* (* x x) 1/80)) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))) |
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 x #s(literal 2 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 81/2560000 binary64) #s(literal -1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))) (*.f64 x (*.f64 x x)) x)) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))) |
3 calls:
| 10.0ms | x |
| 8.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 7.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.5% | 2 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 77.5% | 2 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 77.9% | 2 | x |
Compiled 21 to 14 computations (33.3% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (* x x) (* (* x x) 9/1600)) 1/36) (* (* x x) 1/80)) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
3 calls:
| 9.0ms | x |
| 8.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 6.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.2% | 2 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 60.2% | 2 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 60.5% | 2 | x |
Compiled 21 to 14 computations (33.3% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (+ (* (* x x) (* (* x x) 9/1600)) 1/36) (* (* x x) 1/80)) (fma.f64 x (*.f64 x #s(literal 1/80 binary64)) #s(literal 1/36 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 27/64000)) -1/216) (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/64000 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) x)) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
3 calls:
| 9.0ms | x |
| 7.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 6.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.1% | 1 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 54.1% | 1 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 54.1% | 1 | x |
Compiled 21 to 14 computations (33.3% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (+ (* x (* x 3/40)) -1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) x)) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
3 calls:
| 5.0ms | x |
| 5.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 4.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.0% | 1 | x |
| 54.0% | 1 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 54.0% | 1 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
Compiled 21 to 14 computations (33.3% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64)))))) |
3 calls:
| 5.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 3.0ms | x |
| 3.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 1 | x |
| 53.5% | 2 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 53.5% | 2 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
Compiled 21 to 14 computations (33.3% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64)))))) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64)))))) |
3 calls:
| 3.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 2.0ms | x |
| 2.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.5% | 1 | x |
| 4.5% | 1 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 4.5% | 1 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
Compiled 21 to 14 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
3 calls:
| 2.0ms | x |
| 2.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 2.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.1% | 1 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 3.1% | 1 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 3.1% | 1 | x |
Compiled 21 to 14 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 6.252302464828221e-12 | 1.5983610938145976 |
| 21.0ms | -458832164074305900.0 | -0.005488895799463 |
| 24.0ms | 320× | 0 | valid |
| 3.0ms | 16× | 1 | valid |
Compiled 641 to 365 computations (43.1% saved)
ival-hypot: 12.0ms (62.9% of total)ival-log: 4.0ms (21% of total)ival-add: 2.0ms (10.5% of total)adjust: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 6.252302464828221e-12 | 1.5983610938145976 |
| 1.0ms | -458832164074305900.0 | -0.005488895799463 |
| 5.0ms | 32× | 0 | valid |
Compiled 601 to 345 computations (42.6% saved)
ival-hypot: 1.0ms (88.9% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-log: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 6.252302464828221e-12 | 1.5983610938145976 |
| 3.0ms | 48× | 0 | valid |
Compiled 213 to 129 computations (39.4% saved)
ival-log: 1.0ms (59.3% of total)ival-hypot: 1.0ms (59.3% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.5983610938145976 | 2834.7210670050554 |
| 7.0ms | 128× | 0 | valid |
Compiled 173 to 105 computations (39.3% saved)
ival-hypot: 2.0ms (46.4% of total)ival-add: 1.0ms (23.2% of total)ival-log: 1.0ms (23.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.4837677306492614 | 5669.442310394303 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 20× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 471 |
| 1 | 106 | 471 |
| 2 | 114 | 471 |
| 3 | 120 | 471 |
| 4 | 125 | 471 |
| 5 | 127 | 471 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -5674535530486825/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))))) |
(if (<=.f64 x #s(literal -5674535530486825/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))))) |
(if (<=.f64 x #s(literal 1643813863990231/1125899906842624 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 5 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64))))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -5674535530486825/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))))) |
(if (<=.f64 x #s(literal -5674535530486825/4503599627370496 binary64)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/112 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64)))))) |
(if (<=.f64 x #s(literal 1643813863990231/1125899906842624 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))) (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 x #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) #s(literal 5 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64))))))) |
(if (<=.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 5 binary64)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)) #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64))))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* x (* x 3/40)) -1/6) (* x (* x x))) x)) #s(approx (/ (+ (* x (* x 1/6)) 1) x) (*.f64 x #s(literal 1/6 binary64)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* x x) (* x -1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
| 28 468× | lower-fma.f64 |
| 28 468× | lower-fma.f32 |
| 12 880× | lower-fma.f64 |
| 12 880× | lower-fma.f32 |
| 11 038× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 2722 |
| 1 | 425 | 2603 |
| 2 | 1124 | 2602 |
| 3 | 3268 | 2602 |
| 4 | 7561 | 2602 |
| 0 | 8093 | 2491 |
| 0 | 163 | 2484 |
| 1 | 420 | 2358 |
| 2 | 1078 | 2356 |
| 3 | 3029 | 2344 |
| 4 | 6756 | 2344 |
| 0 | 8077 | 2246 |
| 0 | 152 | 2061 |
| 1 | 425 | 1967 |
| 2 | 1145 | 1962 |
| 3 | 3573 | 1894 |
| 0 | 8351 | 1792 |
| 0 | 29 | 156 |
| 0 | 48 | 148 |
| 1 | 156 | 148 |
| 2 | 1018 | 148 |
| 0 | 8309 | 146 |
| 0 | 125 | 525 |
| 1 | 353 | 517 |
| 2 | 931 | 509 |
| 3 | 2909 | 479 |
| 4 | 7021 | 479 |
| 0 | 8073 | 448 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 422 to 201 computations (52.4% saved)
Compiled 434 to 152 computations (65% saved)
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