
Time bar (total: 12.4s)
| 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 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 50.4% | 50.4% | 49.6% | 0% | 0% | 0% | 0% | 9 |
| 51% | 51% | 49% | 0% | 0% | 0% | 0% | 10 |
| 51.3% | 51.2% | 48.7% | 0% | 0% | 0% | 0% | 11 |
| 51.3% | 51.3% | 48.7% | 0% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 2.1s | 5 499× | 2 | valid |
| 642.0ms | 7 843× | 1 | exit |
| 324.0ms | 2 379× | 1 | valid |
| 24.0ms | 378× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
ival-log: 1.2s (49.8% of total)ival-sinh: 675.0ms (27.9% of total)ival-div: 281.0ms (11.6% of total)adjust: 237.0ms (9.8% of total)ival-true: 14.0ms (0.6% of total)ival-assert: 6.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 141 | 112 | (5.454377385569824e-170) | 0 | - | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 0 | 0 | - | 0 | - | (sinh.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 (sinh.f64 x) x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 246 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 7 | 0 |
| ↳ | (sinh.f64 x) | overflow | 7 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 7 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 141 | 0 |
| - | 112 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 141 | 0 | 0 |
| - | 112 | 0 | 3 |
| number | freq |
|---|---|
| 0 | 3 |
| 1 | 253 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 147.0ms | 322× | 2 | valid |
| 22.0ms | 160× | 1 | valid |
| 2.0ms | 30× | 0 | valid |
Compiled 34 to 16 computations (52.9% saved)
ival-log: 68.0ms (56.3% of total)ival-sinh: 35.0ms (29% of total)ival-div: 10.0ms (8.3% of total)adjust: 7.0ms (5.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 072× | lower-fma.f64 |
| 1 072× | lower-fma.f32 |
| 784× | lower-*.f64 |
| 784× | lower-*.f32 |
| 648× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 20 | 15 |
| 2 | 53 | 15 |
| 3 | 148 | 15 |
| 4 | 446 | 15 |
| 5 | 1346 | 15 |
| 6 | 2402 | 15 |
| 7 | 2924 | 15 |
| 8 | 3206 | 15 |
| 9 | 3244 | 15 |
| 10 | 3246 | 15 |
| 11 | 3246 | 15 |
| 0 | 4 | 5 |
| 0 | 7 | 5 |
| 1 | 13 | 5 |
| 2 | 26 | 5 |
| 3 | 52 | 5 |
| 4 | 93 | 5 |
| 5 | 178 | 5 |
| 6 | 374 | 5 |
| 7 | 644 | 5 |
| 8 | 1118 | 5 |
| 9 | 1798 | 5 |
| 10 | 1910 | 5 |
| 11 | 1972 | 5 |
| 12 | 2145 | 5 |
| 13 | 2345 | 5 |
| 14 | 2419 | 5 |
| 15 | 2456 | 5 |
| 16 | 2456 | 5 |
| 17 | 2480 | 5 |
| 0 | 2480 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
Compiled 6 to 4 computations (33.3% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.5% | (log.f64 (/.f64 (sinh.f64 x) x)) |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sinh.f64 x) | |
| cost-diff | 0 | (/.f64 (sinh.f64 x) x) | |
| cost-diff | 0 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1 072× | lower-fma.f64 |
| 1 072× | lower-fma.f32 |
| 784× | lower-*.f64 |
| 784× | lower-*.f32 |
| 584× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 12 |
| 0 | 7 | 12 |
| 1 | 13 | 12 |
| 2 | 26 | 12 |
| 3 | 52 | 12 |
| 4 | 93 | 12 |
| 5 | 178 | 12 |
| 6 | 374 | 12 |
| 7 | 644 | 12 |
| 8 | 1118 | 12 |
| 9 | 1798 | 12 |
| 10 | 1910 | 12 |
| 11 | 1972 | 12 |
| 12 | 2145 | 12 |
| 13 | 2345 | 12 |
| 14 | 2419 | 12 |
| 15 | 2456 | 12 |
| 16 | 2456 | 12 |
| 17 | 2480 | 12 |
| 0 | 2480 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
x |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 (sinh.f64 x) x) | |
| accuracy | 0.0078125 | (sinh.f64 x) | |
| accuracy | 31.655954996012643 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 61.0ms | 161× | 2 | valid |
| 11.0ms | 80× | 1 | valid |
| 1.0ms | 15× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-log: 32.0ms (53.3% of total)ival-sinh: 19.0ms (31.7% of total)ival-div: 5.0ms (8.3% of total)adjust: 3.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ()) |
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | x | @ | inf | ((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x)) |
| 25.0ms | x | @ | -inf | ((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x)) |
| 2.0ms | x | @ | 0 | ((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x)) |
| 1× | egg-herbie |
| 16 092× | lower-fma.f64 |
| 16 092× | lower-fma.f32 |
| 4 562× | lower-*.f64 |
| 4 562× | lower-*.f32 |
| 2 156× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 394 |
| 1 | 157 | 390 |
| 2 | 395 | 384 |
| 3 | 1185 | 384 |
| 4 | 2108 | 384 |
| 5 | 3947 | 384 |
| 6 | 4556 | 380 |
| 7 | 4957 | 380 |
| 8 | 6431 | 380 |
| 0 | 8051 | 362 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) (log.f64 (neg.f64 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) (log.f64 (neg.f64 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) (log.f64 (neg.f64 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) (log.f64 (neg.f64 x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
| 4 024× | lower-*.f64 |
| 4 024× | lower-*.f32 |
| 3 684× | lower-/.f32 |
| 3 682× | lower-/.f64 |
| 2 016× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 11 |
| 0 | 7 | 11 |
| 1 | 23 | 11 |
| 2 | 124 | 11 |
| 3 | 931 | 11 |
| 0 | 8549 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))) |
(*.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))) (log.f64 (/.f64 (sinh.f64 x) x))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))))) |
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))))))) |
(*.f64 (*.f64 (log.f64 (*.f64 x (sinh.f64 x))) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 x (sinh.f64 x)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (log.f64 (*.f64 x (sinh.f64 x))) (log.f64 (/.f64 (sinh.f64 x) x))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (sinh.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x))))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) |
(*.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x))))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))))) (+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))))) (log.f64 (/.f64 x (sinh.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (+.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))) (-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (fma.f64 (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (+.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x)))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))) (*.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))) (log.f64 (/.f64 (sinh.f64 x) x))) |
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))) (log.f64 (/.f64 (sinh.f64 x) x)))) (neg.f64 (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (sinh.f64 x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 (sinh.f64 x))) #s(literal 2 binary64)))) (log.f64 (*.f64 x (sinh.f64 x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 (sinh.f64 x))) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (*.f64 (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 x (sinh.f64 x))) (log.f64 (*.f64 x (sinh.f64 x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (sinh.f64 x)))) |
(/.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))) (log.f64 (/.f64 (sinh.f64 x) x))) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64))) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))) |
(/.f64 (*.f64 (log.f64 (*.f64 x (sinh.f64 x))) (log.f64 (/.f64 x (sinh.f64 x)))) (neg.f64 (log.f64 (*.f64 x (sinh.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x))))))) |
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(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 (neg.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 0 binary64) (sinh.f64 x)) |
Compiled 9 124 to 1 601 computations (82.5% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 470 | 9 | 479 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 470 | 10 | 480 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 28.9% | (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
| 50.5% | (+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)))) | |
| ✓ | 50.5% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 49.9% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ▶ | 49.8% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| 49.5% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| ▶ | 96.0% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 96.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| 95.7% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| ▶ | 95.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 252 to 138 computations (45.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 x) | |
| cost-diff | 0 | (sinh.f64 x) | |
| cost-diff | 0 | (log.f64 (sinh.f64 x)) | |
| cost-diff | 0 | (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| 5 902× | lower-fma.f32 |
| 5 888× | lower-fma.f64 |
| 2 972× | lower-*.f32 |
| 2 960× | lower-*.f64 |
| 2 346× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 270 |
| 0 | 57 | 270 |
| 1 | 104 | 270 |
| 2 | 186 | 270 |
| 3 | 449 | 270 |
| 4 | 1015 | 270 |
| 5 | 1735 | 270 |
| 6 | 2184 | 270 |
| 7 | 2733 | 270 |
| 8 | 3270 | 270 |
| 9 | 3881 | 270 |
| 10 | 4073 | 270 |
| 11 | 4421 | 270 |
| 12 | 7283 | 270 |
| 0 | 8140 | 270 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
#s(literal 1/2835 binary64) |
(*.f64 x x) |
x |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) |
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) |
#s(literal -1/37800 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
(log.f64 (sinh.f64 x)) |
(sinh.f64 x) |
x |
(log.f64 x) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
#s(literal 1/2835 binary64) |
(*.f64 x x) |
x |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) |
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) |
#s(literal -1/37800 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
(log.f64 (sinh.f64 x)) |
(sinh.f64 x) |
x |
(log.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 x) | |
| accuracy | 0.00390625 | (sinh.f64 x) | |
| accuracy | 1.452518696528383 | (log.f64 (sinh.f64 x)) | |
| accuracy | 15.835325544743997 | (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) | |
| accuracy | 0.00390625 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 1.6537198060961664 | #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 17.238658670345668 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 0.0234375 | (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) | |
| accuracy | 0.078125 | (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.19921875 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| accuracy | 1.6176146063530334 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 1.9656160828888836 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 0.017910009768442016 | (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) | |
| accuracy | 0.07421875 | (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.203125 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| accuracy | 1.5666580683357967 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| 142.0ms | 92× | 2 | valid |
| 34.0ms | 113× | 0 | invalid |
| 25.0ms | 40× | 1 | valid |
| 3.0ms | 11× | 0 | valid |
Compiled 227 to 35 computations (84.6% saved)
ival-log: 83.0ms (47.7% of total)ival-mult: 28.0ms (16.1% of total)const: 19.0ms (10.9% of total)adjust: 13.0ms (7.5% of total)ival-sinh: 13.0ms (7.5% of total)ival-add: 11.0ms (6.3% of total)ival-div: 4.0ms (2.3% of total)ival-sub: 2.0ms (1.1% 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 (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) (patch (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) #<representation binary64>) () ()) |
#s(alt (log.f64 (sinh.f64 x)) (patch (log.f64 (sinh.f64 x)) #<representation binary64>) () ()) |
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ()) |
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (patch (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (patch (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt 1/6 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* -1/180 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/6 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 (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ()) |
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#s(alt (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (log.f64 (sinh.f64 x)) (patch (log.f64 (sinh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (log.f64 (sinh.f64 x)) (patch (log.f64 (sinh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (taylor -inf x) (#s(alt (log.f64 (sinh.f64 x)) (patch (log.f64 (sinh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2835 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (patch (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (patch (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (patch (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (patch (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/37800 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (patch (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (patch (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (patch (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (patch (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 65.0ms | x | @ | -inf | ((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (- (log (sinh x)) (log x)) (log (sinh x)) (sinh x) (log x) (+ (* 1/2835 (* x x)) -1/180) (+ (* -1/37800 (* x x)) 1/2835)) |
| 25.0ms | x | @ | inf | ((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (- (log (sinh x)) (log x)) (log (sinh x)) (sinh x) (log x) (+ (* 1/2835 (* x x)) -1/180) (+ (* -1/37800 (* x x)) 1/2835)) |
| 17.0ms | x | @ | 0 | ((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (- (log (sinh x)) (log x)) (log (sinh x)) (sinh x) (log x) (+ (* 1/2835 (* x x)) -1/180) (+ (* -1/37800 (* x x)) 1/2835)) |
| 1× | egg-herbie |
| 17 322× | lower-fma.f64 |
| 17 322× | lower-fma.f32 |
| 4 034× | lower-+.f64 |
| 4 034× | lower-+.f32 |
| 3 756× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 2572 |
| 1 | 398 | 2544 |
| 2 | 1057 | 2538 |
| 3 | 3108 | 2538 |
| 4 | 7178 | 2538 |
| 0 | 8042 | 2409 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(log x) |
(+ (log x) (* 1/6 (pow x 2))) |
(+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))) |
(+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(log x) |
(log x) |
(log x) |
(log x) |
-1/180 |
(- (* 1/2835 (pow x 2)) 1/180) |
(- (* 1/2835 (pow x 2)) 1/180) |
(- (* 1/2835 (pow x 2)) 1/180) |
1/2835 |
(+ 1/2835 (* -1/37800 (pow x 2))) |
(+ 1/2835 (* -1/37800 (pow x 2))) |
(+ 1/2835 (* -1/37800 (pow x 2))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 7)) |
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 6)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) |
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) |
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) |
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) |
(log (* 1/2 (- (exp x) (/ 1 (exp x))))) |
(log (* 1/2 (- (exp x) (/ 1 (exp x))))) |
(log (* 1/2 (- (exp x) (/ 1 (exp x))))) |
(log (* 1/2 (- (exp x) (/ 1 (exp x))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* 1/2835 (pow x 2)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* -1/37800 (pow x 2)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))) |
(* -1/37800 (pow x 6)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x))))) |
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x))))) |
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x))))) |
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x))))) |
(log (* 1/2 (- (exp x) (/ 1 (exp x))))) |
(log (* 1/2 (- (exp x) (/ 1 (exp x))))) |
(log (* 1/2 (- (exp x) (/ 1 (exp x))))) |
(log (* 1/2 (- (exp x) (/ 1 (exp x))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* 1/2835 (pow x 2)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* -1/37800 (pow x 2)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(log x) |
(log.f64 x) |
(+ (log x) (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (log.f64 x)) |
(+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x (log.f64 x)) |
(+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x (log.f64 x)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
-1/180 |
#s(literal -1/180 binary64) |
(- (* 1/2835 (pow x 2)) 1/180) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(- (* 1/2835 (pow x 2)) 1/180) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(- (* 1/2835 (pow x 2)) 1/180) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
1/2835 |
#s(literal 1/2835 binary64) |
(+ 1/2835 (* -1/37800 (pow x 2))) |
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) |
(+ 1/2835 (* -1/37800 (pow x 2))) |
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) |
(+ 1/2835 (* -1/37800 (pow x 2))) |
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(* 1/2835 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/2835 (pow x 5)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) #s(literal 1/2835 binary64)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* 1/2835 (pow x 4)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x) x) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
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(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/37800 binary64)))) |
(* -1/37800 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/37800 binary64)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/37800 binary64))) (pow.f64 x #s(literal 6 binary64))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x))))) |
(-.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))) |
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x))))) |
(-.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))) |
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x))))) |
(-.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))) |
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x))))) |
(-.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))) |
(log (* 1/2 (- (exp x) (/ 1 (exp x))))) |
(log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) |
(log (* 1/2 (- (exp x) (/ 1 (exp x))))) |
(log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) |
(log (* 1/2 (- (exp x) (/ 1 (exp x))))) |
(log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) |
(log (* 1/2 (- (exp x) (/ 1 (exp x))))) |
(log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) |
(* 1/2835 (pow x 2)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 #s(literal -1/37800 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) |
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) |
| 4 866× | lower-*.f32 |
| 4 854× | lower-*.f64 |
| 4 498× | lower-/.f64 |
| 4 498× | lower-/.f32 |
| 3 986× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 234 |
| 0 | 57 | 233 |
| 1 | 208 | 233 |
| 2 | 1383 | 233 |
| 0 | 8137 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x x) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
(log.f64 (sinh.f64 x)) |
(sinh.f64 x) |
(log.f64 x) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
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(/.f64 (-.f64 #s(literal 1/8037225 binary64) (*.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal -1/37800 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8037225 binary64))) (neg.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/54010152000000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/22785532875 binary64))) (neg.f64 (+.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/54010152000000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/22785532875 binary64))) (neg.f64 (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8037225 binary64)) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/54010152000000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/22785532875 binary64)) (+.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/54010152000000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/22785532875 binary64)) (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal -1/37800 binary64) (*.f64 x x))) (-.f64 #s(literal 1/8037225 binary64) (*.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))) (fma.f64 (*.f64 #s(literal -1/54010152000000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/22785532875 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/37800 binary64) x) x #s(literal 1/2835 binary64)) |
(fma.f64 (*.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (neg.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))))) |
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/37800 binary64) x) #s(literal 1/2835 binary64)) |
(-.f64 (/.f64 #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal -1/37800 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal -1/37800 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (neg.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))))) |
(+.f64 (*.f64 #s(literal -1/37800 binary64) (*.f64 x x)) #s(literal 1/2835 binary64)) |
(+.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal -1/37800 binary64) (*.f64 x x))) |
Compiled 24 717 to 2 126 computations (91.4% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 805 | 14 | 819 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 808 | 21 | 829 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 28.9% | (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
| 28.9% | (-.f64 (log.f64 #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) (log.f64 x)) | |
| 50.5% | (+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)))) | |
| ✓ | 50.5% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 49.9% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ✓ | 49.8% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| 49.5% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)))) | |
| 2.3% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) | |
| ▶ | 2.0% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))))) |
| 95.7% | #s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| 96.1% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))) | |
| 96.2% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| 96.2% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) | |
| ▶ | 95.4% | #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) |
| 96.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) | |
| 96.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) x)) | |
| ▶ | 96.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
| ✓ | 96.0% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 95.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| ▶ | 28.0% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x)) |
| ✓ | 95.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
Compiled 922 to 388 computations (57.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) | |
| cost-diff | 128 | (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))) | |
| cost-diff | 1664 | (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))) | |
| cost-diff | 0 | #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x)) | |
| cost-diff | 640 | (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) | |
| cost-diff | 1792 | (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
| 7 154× | lower-fma.f32 |
| 7 144× | lower-fma.f64 |
| 5 028× | lower-*.f32 |
| 4 988× | lower-*.f64 |
| 2 006× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 1014 |
| 0 | 112 | 993 |
| 1 | 227 | 833 |
| 2 | 549 | 757 |
| 3 | 2378 | 728 |
| 4 | 6083 | 722 |
| 0 | 8386 | 699 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(*.f64 x x) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) |
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x) |
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) |
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(*.f64 #s(literal -1/180 binary64) x) |
#s(literal -1/180 binary64) |
x |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
#s(literal -1/2835 binary64) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))))) |
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)) |
(*.f64 #s(literal 1/120 binary64) x) |
#s(literal 1/120 binary64) |
x |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) |
(*.f64 (*.f64 x x) x) |
#s(literal 1/216 binary64) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) |
(*.f64 x x) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) |
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (*.f64 x x))) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x) |
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) |
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) x) |
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal -1/180 binary64) x) |
#s(literal -1/180 binary64) |
x |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal 1/6 binary64)) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
#s(literal -1/2835 binary64) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))))) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(*.f64 #s(literal 1/120 binary64) x) |
#s(literal 1/120 binary64) |
x |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) |
(*.f64 (*.f64 x x) x) |
#s(literal 1/216 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2998237793053261 | (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) | |
| accuracy | 0.3515625 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 0.6611922210851043 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))) | |
| accuracy | 2.234868006563583 | #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) | |
| accuracy | 0.12890625 | (*.f64 (*.f64 x x) x) | |
| accuracy | 2.3603558724966347 | #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)))) | |
| accuracy | 31.655954996012643 | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))))) | |
| accuracy | 60.31130620115096 | #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))) | |
| accuracy | 0.22265625 | (*.f64 #s(literal -1/180 binary64) x) | |
| accuracy | 0.36328125 | (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) | |
| accuracy | 2.234868006563583 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x)) | |
| accuracy | 42.506951369661316 | (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.359375 | (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) | |
| accuracy | 2.356455895669612 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) | |
| accuracy | 3.091661151707934 | #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) | |
| accuracy | 0.01953125 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 0.037441259768442016 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 0.15234375 | (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) | |
| accuracy | 2.234868006563583 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
| 263.0ms | 161× | 2 | valid |
| 188.0ms | 80× | 1 | valid |
| 7.0ms | 15× | 0 | valid |
Compiled 764 to 66 computations (91.4% saved)
ival-mult: 104.0ms (26.6% of total)ival-sub: 91.0ms (23.3% of total)adjust: 44.0ms (11.3% of total)const: 38.0ms (9.7% of total)ival-log: 38.0ms (9.7% of total)ival-add: 37.0ms (9.5% of total)ival-div: 19.0ms (4.9% of total)ival-sinh: 19.0ms (4.9% 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 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) (patch (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (patch (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x) (patch (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))))) (patch (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)))) (patch #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))) (patch #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)) (patch (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (patch (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) (patch (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/180 binary64) x) (patch (*.f64 #s(literal -1/180 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) (patch (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) (patch (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) (patch (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) (patch (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())) ()) |
#s(alt 6 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 6 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | x | @ | inf | ((/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (* (- (/ 1/6 (* (* (* x x) x) x)) -1/2835) (* (* (* x x) x) x)) (+ (* (* -1/180 x) x) (* (- (/ 1/6 (* (* (* x x) x) x)) -1/2835) (* (* (* x x) x) x))) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* 1/120 x) (* (* x x) x)) (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (/ 1 (/ (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (* x x) x)) 1/216) (* x x)))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (log (/ (sinh x) x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (* -1/180 x) (* (* x x) x) (* 1/6 x) (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x))) |
| 11.0ms | x | @ | -inf | ((/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (* (- (/ 1/6 (* (* (* x x) x) x)) -1/2835) (* (* (* x x) x) x)) (+ (* (* -1/180 x) x) (* (- (/ 1/6 (* (* (* x x) x) x)) -1/2835) (* (* (* x x) x) x))) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* 1/120 x) (* (* x x) x)) (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (/ 1 (/ (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (* x x) x)) 1/216) (* x x)))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (log (/ (sinh x) x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (* -1/180 x) (* (* x x) x) (* 1/6 x) (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x))) |
| 4.0ms | x | @ | 0 | ((/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (* (- (/ 1/6 (* (* (* x x) x) x)) -1/2835) (* (* (* x x) x) x)) (+ (* (* -1/180 x) x) (* (- (/ 1/6 (* (* (* x x) x) x)) -1/2835) (* (* (* x x) x) x))) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* 1/120 x) (* (* x x) x)) (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (/ 1 (/ (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (* x x) x)) 1/216) (* x x)))) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))) (log (/ (sinh x) x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (* -1/180 x) (* (* x x) x) (* 1/6 x) (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x))) |
| 1× | egg-herbie |
| 13 902× | lower-fma.f64 |
| 13 902× | lower-fma.f32 |
| 4 490× | lower-+.f64 |
| 4 490× | lower-+.f32 |
| 4 180× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 3390 |
| 1 | 611 | 3366 |
| 2 | 1513 | 3318 |
| 3 | 3728 | 3302 |
| 0 | 8042 | 3161 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))) |
1/6 |
(+ 1/6 (* 1/2835 (pow x 4))) |
(+ 1/6 (* 1/2835 (pow x 4))) |
(+ 1/6 (* 1/2835 (pow x 4))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
1/36 |
(+ 1/36 (* 1/1080 (pow x 2))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
1/36 |
(+ 1/36 (* 1/1080 (pow x 2))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -1/17010 (pow x 2))))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -1/17010 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/32400 (pow x 2)) |
(* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2)))) |
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) |
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 7)) |
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 6)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (+ 1/2835 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/2835 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/2835 (* 1/6 (/ 1 (pow x 4))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2)))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* -1/17010 (pow x 4)) |
(* (pow x 4) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010)) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/8037225 (pow x 6)) |
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))) |
(* -1/37800 (pow x 6)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (+ 1/2835 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/2835 (* 1/6 (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/2835 (* 1/6 (/ 1 (pow x 4))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2)))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* -1/17010 (pow x 4)) |
(* (pow x 4) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010)) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/8037225 (pow x 6)) |
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
6 |
#s(literal 6 binary64) |
(+ 6 (* 1/5 (pow x 2))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -59/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/2835 (pow x 4))) |
(fma.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/2835 (pow x 4))) |
(fma.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/2835 (pow x 4))) |
(fma.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)) |
(* 1/120 (pow x 4)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)) |
1/36 |
#s(literal 1/36 binary64) |
(+ 1/36 (* 1/1080 (pow x 2))) |
(fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -19/680400 binary64) (*.f64 x x) #s(literal 1/1080 binary64)) (*.f64 x x) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal -19/680400 binary64)) (*.f64 x x) #s(literal 1/1080 binary64)) (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
1/36 |
#s(literal 1/36 binary64) |
(+ 1/36 (* 1/1080 (pow x 2))) |
(fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -1/17010 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -1/17010 binary64) (*.f64 x x) #s(literal 1/1080 binary64)) (*.f64 x x) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -1/17010 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -1/17010 binary64) (*.f64 x x) #s(literal 1/1080 binary64)) (*.f64 x x) #s(literal 1/36 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
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(*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)) |
(* 1/8037225 (pow x 8)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8037225 binary64)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 (+.f64 (/.f64 #s(literal 19/680400 binary64) (*.f64 x x)) #s(literal 1/255150 binary64)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/1080 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8037225 binary64)) (-.f64 (/.f64 #s(literal 19/680400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(* 1/2835 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* -1/17010 (pow x 4)) |
(*.f64 (*.f64 #s(literal -1/17010 binary64) x) (*.f64 (*.f64 x x) x)) |
(* (pow x 4) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)) #s(literal 1/17010 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)) #s(literal 1/17010 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64)) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)) #s(literal 1/17010 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(* 1/2835 (pow x 4)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) x) x) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/6 binary64)) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/6 binary64)) |
(* 1/2835 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1/180 x) |
(*.f64 #s(literal -1/180 binary64) x) |
(* -1/180 x) |
(*.f64 #s(literal -1/180 binary64) x) |
(* -1/180 x) |
(*.f64 #s(literal -1/180 binary64) x) |
(* -1/180 x) |
(*.f64 #s(literal -1/180 binary64) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(* 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)) |
(* 1/8037225 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8037225 binary64)) |
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
| 4 514× | lower-*.f32 |
| 4 474× | lower-*.f64 |
| 3 764× | lower-fma.f32 |
| 3 754× | lower-fma.f64 |
| 3 690× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 674 |
| 0 | 111 | 515 |
| 1 | 451 | 469 |
| 2 | 2954 | 469 |
| 0 | 8259 | 445 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) |
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x)) |
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))))) |
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))) |
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) |
(*.f64 #s(literal -1/180 binary64) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) |
| Outputs |
|---|
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) x)) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (fma.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x) #s(literal 1/36 binary64)))))) |
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(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) #s(literal -1/216 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (fma.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x) #s(literal 1/36 binary64)))) (/.f64 (/.f64 #s(literal 1/46656 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) #s(literal -1/216 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (fma.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x) #s(literal 1/36 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) |
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (*.f64 x (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x)))) x) |
(*.f64 x #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (*.f64 x (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x))))) |
(*.f64 #s(literal -1/180 binary64) x) |
(*.f64 x #s(literal -1/180 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x))) (exp.f64 (log.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x)) |
(*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) |
(*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/32400 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/22785532875 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/5832000 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))))) (neg.f64 (fma.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/32400 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 #s(literal 1/22785532875 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/5832000 binary64)))) (neg.f64 (fma.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/32400 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/22785532875 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/5832000 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) (fma.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/32400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 #s(literal 1/22785532875 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -1/5832000 binary64))) (fma.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) #s(literal -1/180 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) #s(literal -1/180 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(fma.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) (*.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))))) |
(+.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) #s(literal -1/180 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) #s(literal -1/180 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
Compiled 41 373 to 2 155 computations (94.8% saved)
23 alts after pruning (16 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 846 | 7 | 853 |
| Fresh | 2 | 9 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 851 | 23 | 874 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 28.9% | (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
| 28.9% | (-.f64 (log.f64 #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) (log.f64 x)) | |
| 50.5% | (+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)))) | |
| ✓ | 50.5% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 49.9% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ✓ | 49.8% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| 49.5% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)))) | |
| 2.3% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) | |
| ✓ | 2.0% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))))) |
| 95.7% | #s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| 96.2% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| ▶ | 96.2% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) |
| 96.1% | #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)))) | |
| ▶ | 94.3% | #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) |
| 96.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) | |
| ▶ | 96.0% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) |
| 96.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) | |
| ▶ | 95.4% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
| ✓ | 96.0% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 95.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| 28.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (*.f64 x (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x)))) x) x)) | |
| ✓ | 95.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| ▶ | 15.9% | #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
Compiled 763 to 371 computations (51.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))) | |
| cost-diff | 4864 | (pow.f64 x #s(literal 6 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) | |
| cost-diff | 1088 | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
| 14 124× | lower-fma.f32 |
| 14 114× | lower-fma.f64 |
| 4 618× | lower-+.f32 |
| 4 616× | lower-+.f64 |
| 4 300× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 987 |
| 0 | 119 | 987 |
| 1 | 236 | 835 |
| 2 | 603 | 763 |
| 3 | 2800 | 742 |
| 4 | 5360 | 742 |
| 0 | 9117 | 725 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) |
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) |
x |
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) |
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) |
x |
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) |
(fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
#s(literal -19/3150 binary64) |
(*.f64 x x) |
#s(literal 1/5 binary64) |
#s(literal 6 binary64) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))) |
#s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
(*.f64 (*.f64 x x) x) |
#s(literal 1/216 binary64) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
#s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) |
(-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) |
#s(literal 1/2835 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))) |
#s(literal -1/6 binary64) |
(pow.f64 x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64)) |
(/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) |
#s(literal 1/180 binary64) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
#s(literal 1/37800 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) |
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) |
x |
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))))) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) |
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) |
x |
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) |
(fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
#s(literal -19/3150 binary64) |
(*.f64 x x) |
#s(literal 1/5 binary64) |
#s(literal 6 binary64) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) (*.f64 x x)) #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) (*.f64 x x)) #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) (*.f64 x x))) |
#s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
(*.f64 (*.f64 x x) x) |
#s(literal 1/216 binary64) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) (-.f64 (+.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (/.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)))))) |
#s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
#s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) (-.f64 (+.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (/.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) (-.f64 (+.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (/.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)))) |
(-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) |
(-.f64 (+.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (/.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))) |
(-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))) |
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) |
#s(literal 1/2835 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))) |
(/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) |
#s(literal -1/6 binary64) |
(pow.f64 x #s(literal 6 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) |
#s(literal 6 binary64) |
(+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64)) |
(-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/37800 binary64)) |
(/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) |
#s(literal 1/180 binary64) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
#s(literal 1/37800 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2804469369779301 | (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) | |
| accuracy | 2.356455895669612 | #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))) | |
| accuracy | 34.88281250000001 | (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) | |
| accuracy | 50.516121753444864 | (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) | |
| accuracy | 0.2998237793053261 | (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) | |
| accuracy | 0.6611922210851043 | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))) | |
| accuracy | 2.234868006563583 | #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) | |
| accuracy | 2.9498114299424962 | #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) | |
| accuracy | 0.029628759768442016 | (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) | |
| accuracy | 0.15234375 | (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) | |
| accuracy | 2.234868006563583 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) | |
| accuracy | 2.4150469765867717 | #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) | |
| accuracy | 0.01171875 | (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) | |
| accuracy | 0.15234375 | (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) | |
| accuracy | 2.234868006563583 | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) | |
| accuracy | 2.904384590986689 | #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) | |
| accuracy | 0.01953125 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 0.037441259768442016 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 0.1796875 | (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) | |
| accuracy | 2.234868006563583 | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) |
| 607.0ms | 161× | 2 | valid |
| 210.0ms | 80× | 1 | valid |
| 7.0ms | 15× | 0 | valid |
Compiled 744 to 66 computations (91.1% saved)
ival-mult: 207.0ms (31.6% of total)ival-log: 152.0ms (23.2% of total)ival-add: 83.0ms (12.7% of total)adjust: 82.0ms (12.5% of total)const: 51.0ms (7.8% of total)ival-div: 28.0ms (4.3% of total)ival-sub: 24.0ms (3.7% of total)ival-sinh: 19.0ms (2.9% of total)ival-pow: 8.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
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#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ()) |
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#s(alt (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (patch (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (patch (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 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 6 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 6 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 6 (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 6 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 67.0ms | x | @ | -inf | ((/ (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (log (/ (sinh x) x)) (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) x) (/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) x) (/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (/ 1 (/ (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (* x x) x)) 1/216) (* x x)))) (log (/ (sinh x) x)) (/ (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (* x x) x)) 1/216) (* x x))) (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (pow x 6) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (- (- (/ 1/2835 (* x x)) (/ -1/6 (pow x 6))) (+ (/ 1/180 (* (* (* x x) x) x)) 1/37800)) (* (* (* (* x x) x) x) (* (* (* x x) x) x))) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (+ (* -19/3150 (* x x)) 1/5) (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (- (- (/ 1/2835 (* x x)) (/ -1/6 (pow x 6))) (+ (/ 1/180 (* (* (* x x) x) x)) 1/37800)) (/ 1/2835 (* x x))) |
| 10.0ms | x | @ | inf | ((/ (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (log (/ (sinh x) x)) (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) x) (/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) x) (/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (/ 1 (/ (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (* x x) x)) 1/216) (* x x)))) (log (/ (sinh x) x)) (/ (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (* x x) x)) 1/216) (* x x))) (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (pow x 6) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (- (- (/ 1/2835 (* x x)) (/ -1/6 (pow x 6))) (+ (/ 1/180 (* (* (* x x) x) x)) 1/37800)) (* (* (* (* x x) x) x) (* (* (* x x) x) x))) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (+ (* -19/3150 (* x x)) 1/5) (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (- (- (/ 1/2835 (* x x)) (/ -1/6 (pow x 6))) (+ (/ 1/180 (* (* (* x x) x) x)) 1/37800)) (/ 1/2835 (* x x))) |
| 3.0ms | x | @ | 0 | ((/ (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (log (/ (sinh x) x)) (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) x) (/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) x) (/ x (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (/ 1 (/ (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (* x x) x)) 1/216) (* x x)))) (log (/ (sinh x) x)) (/ (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (* x x) x)) 1/216) (* x x))) (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (pow x 6) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (- (- (/ 1/2835 (* x x)) (/ -1/6 (pow x 6))) (+ (/ 1/180 (* (* (* x x) x) x)) 1/37800)) (* (* (* (* x x) x) x) (* (* (* x x) x) x))) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (+ (* -19/3150 (* x x)) 1/5) (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (- (- (/ 1/2835 (* x x)) (/ -1/6 (pow x 6))) (+ (/ 1/180 (* (* (* x x) x) x)) 1/37800)) (/ 1/2835 (* x x))) |
| 1× | egg-herbie |
| 13 550× | lower-fma.f64 |
| 13 550× | lower-fma.f32 |
| 5 066× | lower-*.f64 |
| 5 066× | lower-*.f32 |
| 1 966× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 187 | 3452 |
| 1 | 444 | 3422 |
| 2 | 1055 | 3422 |
| 3 | 2503 | 3422 |
| 4 | 6103 | 3422 |
| 0 | 8304 | 3271 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(/ 6 (pow x 2)) |
(/ (+ 6 (* 1/5 (pow x 2))) (pow x 2)) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) (pow x 2)) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) (pow x 2)) |
1/36 |
(+ 1/36 (* 1/1080 (pow x 2))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
1/5 |
(+ 1/5 (* -19/3150 (pow x 2))) |
(+ 1/5 (* -19/3150 (pow x 2))) |
(+ 1/5 (* -19/3150 (pow x 2))) |
(* 1/32400 (pow x 2)) |
(* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2)))) |
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) |
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) |
(/ 1/6 (pow x 6)) |
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 6)) |
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 6)) |
(/ (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))) (pow x 6)) |
(/ 1/2835 (pow x 2)) |
(/ 1/2835 (pow x 2)) |
(/ 1/2835 (pow x 2)) |
(/ 1/2835 (pow x 2)) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(/ 2835 (pow x 6)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 6)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 6)) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2)))))) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* -19/3150 (pow x 2)) |
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150)) |
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150)) |
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150)) |
(* 1/8037225 (pow x 6)) |
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
-1/37800 |
(- (* 1/2835 (/ 1 (pow x 2))) 1/37800) |
(- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))) |
(- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))) |
(/ 1/2835 (pow x 2)) |
(/ 1/2835 (pow x 2)) |
(/ 1/2835 (pow x 2)) |
(/ 1/2835 (pow x 2)) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(/ 2835 (pow x 6)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 6)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 6)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 6)) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2)))))) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* -19/3150 (pow x 2)) |
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150)) |
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150)) |
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150)) |
(* 1/8037225 (pow x 6)) |
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
-1/37800 |
(- (* 1/2835 (/ 1 (pow x 2))) 1/37800) |
(- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))) |
(- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))) |
(/ 1/2835 (pow x 2)) |
(/ 1/2835 (pow x 2)) |
(/ 1/2835 (pow x 2)) |
(/ 1/2835 (pow x 2)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) 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 |
#s(literal 6 binary64) |
(+ 6 (* 1/5 (pow x 2))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -59/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
6 |
#s(literal 6 binary64) |
(+ 6 (* 1/5 (pow x 2))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -59/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
6 |
#s(literal 6 binary64) |
(+ 6 (* 1/5 (pow x 2))) |
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -59/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ (+ 6 (* 1/5 (pow x 2))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x)) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x)) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -59/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x)) |
1/36 |
#s(literal 1/36 binary64) |
(+ 1/36 (* 1/1080 (pow x 2))) |
(fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -19/680400 binary64) (*.f64 x x) #s(literal 1/1080 binary64)) (*.f64 x x) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal -19/680400 binary64)) (*.f64 x x) #s(literal 1/1080 binary64)) (*.f64 x x) #s(literal 1/36 binary64)) |
(pow x 6) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) |
(pow x 6) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) |
(pow x 6) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) |
(pow x 6) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
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(/.f64 #s(literal 2835 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal 2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal 2835 binary64)) (/.f64 #s(literal 10180485/16 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal 2835 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1991624355/64 binary64) (*.f64 x x)) #s(literal 10180485/16 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* 1/2835 (pow x 6)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 x x) x)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(/ 2835 (pow x 6)) |
(/.f64 #s(literal 2835 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 6)) |
(/.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal 2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 6)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal 2835 binary64)) (/.f64 #s(literal 10180485/16 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 6)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal 2835 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1991624355/64 binary64) (*.f64 x x)) #s(literal 10180485/16 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) |
(* 1/8037225 (pow x 8)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/8037225 binary64)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x))) |
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2))))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/255150 binary64) (/.f64 #s(literal 19/680400 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x))) |
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/255150 binary64) (/.f64 #s(literal 19/680400 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/1080 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x))) |
(pow x 6) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) |
(pow x 6) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) |
(pow x 6) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) |
(pow x 6) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(* -1/37800 (pow x 8)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/37800 binary64)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) x) (*.f64 (*.f64 x x) x)) (*.f64 x x)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x))) |
(* -1/37800 (pow x 8)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) #s(literal -1/37800 binary64)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) x) (*.f64 (*.f64 x x) x)) (*.f64 x x)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x))) |
(* 1/2835 (pow x 4)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2835 binary64)) x) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) |
(* -19/3150 (pow x 2)) |
(*.f64 #s(literal -19/3150 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150)) |
(fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150)) |
(fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150)) |
(fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
(* 1/8037225 (pow x 6)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) x)) |
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) |
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) |
-1/37800 |
#s(literal -1/37800 binary64) |
(- (* 1/2835 (/ 1 (pow x 2))) 1/37800) |
(-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) |
(- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))) |
(-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/37800 binary64))) |
(/ 1/2835 (pow x 2)) |
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) |
(/ 1/2835 (pow x 2)) |
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) |
(/ 1/2835 (pow x 2)) |
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) |
(/ 1/2835 (pow x 2)) |
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) |
| 4 630× | lower-*.f32 |
| 4 608× | lower-*.f64 |
| 4 108× | lower-/.f32 |
| 4 090× | lower-/.f64 |
| 3 664× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 760 |
| 0 | 119 | 667 |
| 1 | 486 | 600 |
| 2 | 3823 | 600 |
| 0 | 9380 | 579 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) |
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) |
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) |
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) |
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) |
(/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))) |
#s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) |
(pow.f64 x #s(literal 6 binary64)) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
#s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) |
(-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) |
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x)) |
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal -1/36 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal -1/36 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)) #s(literal 1/216 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) (neg.f64 x) #s(literal 1/36 binary64)))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) (neg.f64 x) #s(literal 1/36 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)) #s(literal 1/216 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) (neg.f64 x) #s(literal 1/36 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) (neg.f64 x) #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) |
(neg.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 x x))) |
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x))) |
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x (/.f64 x #s(literal 1 binary64))) |
(*.f64 x x) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal -1/36 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))) |
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(fma.f64 (-.f64 (/.f64 #s(literal 1/22785532875 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) (/.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(fma.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(fma.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) (neg.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))) |
(fma.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (neg.f64 (+.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x) x) x)) (neg.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)))) |
(fma.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(fma.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) (neg.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))) |
(fma.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (+.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) (neg.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (neg.f64 (+.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))))) |
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))) #s(literal 1/37800 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(-.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)))) (+.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))))) (/.f64 (*.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (+.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (+.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)))))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (fma.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (+.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/37800 binary64)) |
(-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) (neg.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))) |
(-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)))) |
(+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal -1/37800 binary64)) |
(+.f64 (neg.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))) (neg.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) (neg.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))) |
(+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (neg.f64 (+.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))))) |
(*.f64 (/.f64 #s(literal 1/2835 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2835 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2835 binary64) x)) |
(*.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))) |
(*.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) |
(pow.f64 (/.f64 x (/.f64 #s(literal 1/2835 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 2835 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 2835 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2835 binary64) x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2835 binary64) x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1/2835 binary64) x) x) |
(/.f64 #s(literal -1/2835 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal -1/2835 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/2835 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 2835 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 2835 binary64)))) |
(/.f64 #s(literal 1/2835 binary64) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 2835 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/2835 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 2835 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2835 binary64))) |
(neg.f64 (/.f64 #s(literal -1/2835 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 2835 binary64))) #s(literal -1 binary64))) |
Compiled 42 896 to 2 466 computations (94.3% saved)
25 alts after pruning (16 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 106 | 9 | 1 115 |
| Fresh | 4 | 7 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 113 | 25 | 1 138 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 28.9% | (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
| 28.9% | (-.f64 (log.f64 #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) (log.f64 x)) | |
| 50.5% | (+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)))) | |
| ✓ | 50.5% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 49.9% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ✓ | 49.8% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| 49.5% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)))) | |
| 2.3% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) | |
| ✓ | 2.0% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))))) |
| 95.7% | #s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) | |
| 96.2% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))) | |
| 95.3% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)))) | |
| 95.4% | #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x))) | |
| 94.5% | #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) (*.f64 x x)))) | |
| 94.3% | #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 #s(approx (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (*.f64 #s(literal 1/32400 binary64) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) | |
| 96.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) | |
| ✓ | 96.0% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) |
| 96.2% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(approx (+ (* -19/3150 (* x x)) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) | |
| ✓ | 95.4% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
| 95.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)) x)) | |
| ✓ | 96.0% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 95.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| ✓ | 95.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 16.0% | #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))) | |
| 15.3% | #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/2835 (* x x)) (/ -1/6 (pow x 6))) (+ (/ 1/180 (* (* (* x x) x) x)) 1/37800)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
Compiled 1 233 to 347 computations (71.9% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(approx (+ (* -19/3150 (* x x)) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) (*.f64 x x)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (*.f64 x (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x)))) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x)) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/2835 (* x x)) (/ -1/6 (pow x 6))) (+ (/ 1/180 (* (* (* x x) x) x)) 1/37800)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 #s(approx (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (*.f64 #s(literal 1/32400 binary64) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 (*.f64 x x) x))))) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) |
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
(-.f64 (log.f64 #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) (log.f64 x)) |
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
(+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
3 calls:
| 10.0ms | x |
| 10.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 8.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 1 | x |
| 96.3% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 96.3% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(approx (+ (* -19/3150 (* x x)) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) (*.f64 x x)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
3 calls:
| 6.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 5.0ms | x |
| 4.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 1 | x |
| 96.2% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 96.2% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)) x)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
3 calls:
| 3.0ms | x |
| 2.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 2.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 1 | x |
| 95.7% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.7% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
3 calls:
| 3.0ms | x |
| 2.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | x |
| 95.4% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.4% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
3 calls:
| 1.0ms | x |
| 1.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 1 | x |
| 95.3% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.3% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 1 | x |
| 95.3% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 95.3% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
| 16× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 140 |
| 1 | 60 | 140 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
| 17 322× | lower-fma.f64 |
| 17 322× | lower-fma.f32 |
| 16 092× | lower-fma.f64 |
| 16 092× | lower-fma.f32 |
| 13 902× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 3390 |
| 1 | 611 | 3366 |
| 2 | 1513 | 3318 |
| 3 | 3728 | 3302 |
| 0 | 8042 | 3161 |
| 0 | 146 | 2572 |
| 1 | 398 | 2544 |
| 2 | 1057 | 2538 |
| 3 | 3108 | 2538 |
| 4 | 7178 | 2538 |
| 0 | 8042 | 2409 |
| 0 | 32 | 234 |
| 0 | 57 | 233 |
| 1 | 208 | 233 |
| 2 | 1383 | 233 |
| 0 | 8137 | 233 |
| 0 | 59 | 394 |
| 1 | 157 | 390 |
| 2 | 395 | 384 |
| 3 | 1185 | 384 |
| 4 | 2108 | 384 |
| 5 | 3947 | 384 |
| 6 | 4556 | 380 |
| 7 | 4957 | 380 |
| 8 | 6431 | 380 |
| 0 | 8051 | 362 |
| 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 |
Compiled 194 to 99 computations (49% saved)
Compiled 198 to 90 computations (54.5% saved)
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