Hyperbolic arcsine
Time bar (total: 7.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 62.5% | 62.5% | 37.5% | 0% | 0% | 0% | 0% | 5 |
| 68.8% | 68.7% | 31.2% | 0% | 0% | 0% | 0% | 6 |
| 71.9% | 71.8% | 28.1% | 0% | 0% | 0% | 0% | 7 |
| 73.4% | 73.4% | 26.5% | 0% | 0% | 0% | 0% | 8 |
| 74.2% | 74.2% | 25.8% | 0% | 0% | 0% | 0% | 9 |
| 74.6% | 74.6% | 25.4% | 0% | 0% | 0% | 0% | 10 |
| 74.8% | 74.8% | 25.2% | 0% | 0% | 0% | 0% | 11 |
| 74.9% | 74.9% | 25.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 1.1s | 4 369× | 1 | valid |
| 1.0s | 1 618× | 2 | valid |
| 231.0ms | 2 269× | 0 | valid |
ival-log: 1.0s (51.3% of total)ival-hypot: 688.0ms (35% of total)adjust: 149.0ms (7.6% of total)ival-add: 103.0ms (5.2% of total)ival-true: 7.0ms (0.4% of total)exact: 6.0ms (0.3% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 119 | 0 | - | 0 | - | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 74 | 0 | - | 0 | - | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 63 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 119 | 0 |
+.f64 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) | cancellation | 74 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | oflow-rescue | 63 | 0 |
| ↳ | (*.f64 x x) | overflow | 63 | |
| ↳ | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 63 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 224 | 0 |
| - | 0 | 32 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 224 | 0 | 0 |
| - | 0 | 0 | 32 |
| number | freq |
|---|---|
| 0 | 32 |
| 1 | 192 |
| 2 | 32 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 118.0ms | 96× | 2 | valid |
| 82.0ms | 282× | 1 | valid |
| 19.0ms | 134× | 0 | valid |
Compiled 79 to 25 computations (68.4% saved)
ival-log: 81.0ms (48.7% of total)adjust: 41.0ms (24.7% of total)ival-hypot: 30.0ms (18.1% of total)ival-add: 8.0ms (4.8% of total)ival-mult: 5.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 22 | 21 |
| 2 | 47 | 21 |
| 3 | 58 | 21 |
| 4 | 73 | 21 |
| 0 | 7 | 9 |
| 0 | 12 | 9 |
| 1 | 20 | 9 |
| 2 | 39 | 9 |
| 3 | 66 | 9 |
| 4 | 81 | 9 |
| 0 | 81 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 17.2% | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | |
| cost-diff | 1 | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 33 |
| 0 | 12 | 33 |
| 1 | 20 | 33 |
| 2 | 39 | 33 |
| 3 | 66 | 33 |
| 4 | 81 | 33 |
| 0 | 81 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
x |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) |
x |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 14.629923784122555 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 17.291663849294245 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 27.63513382547312 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 53.0ms | 48× | 2 | valid |
| 24.0ms | 141× | 1 | valid |
| 5.0ms | 67× | 0 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-log: 51.0ms (70.5% of total)ival-hypot: 11.0ms (15.2% of total)adjust: 4.0ms (5.5% of total)ival-add: 4.0ms (5.5% of total)ival-mult: 2.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 x x) |
| Outputs |
|---|
1 |
(+ 1 (pow x 2)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | 0 | ((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x)) |
| 2.0ms | x | @ | inf | ((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x)) |
| 1.0ms | x | @ | -inf | ((+ (* x x) 1) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 448 |
| 1 | 384 | 440 |
| 2 | 1149 | 432 |
| 3 | 4065 | 428 |
| 0 | 8153 | 409 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(*.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 1/2 binary64)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 31 |
| 0 | 12 | 18 |
| 1 | 51 | 18 |
| 2 | 360 | 16 |
| 3 | 4421 | 16 |
| 0 | 8160 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (pow.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cosh.f64 (asinh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cosh.f64 (asinh.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (+.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x))))) |
(*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (pow.f64 (*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (pow.f64 (*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (*.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x)))) |
(*.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (cosh.f64 (asinh.f64 x)))) |
(*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (neg.f64 (cosh.f64 (asinh.f64 x)))) |
(*.f64 (cosh.f64 (asinh.f64 x)) (cosh.f64 (asinh.f64 x))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (cosh.f64 (asinh.f64 x))) (sinh.f64 (acosh.f64 x))) |
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) (cosh.f64 (asinh.f64 x))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cosh.f64 (asinh.f64 x)) (sinh.f64 (acosh.f64 (*.f64 x x)))) (sinh.f64 (acosh.f64 x))) |
(/.f64 (*.f64 (cosh.f64 (asinh.f64 x)) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (cosh.f64 (asinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sinh.f64 (acosh.f64 x)) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))) (*.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) (sinh.f64 (acosh.f64 (*.f64 x x)))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sinh.f64 (acosh.f64 x)))) |
(/.f64 (pow.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) (sinh.f64 (acosh.f64 (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) (sin.f64 (acos.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64)) |
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(pow.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64)) |
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(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
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(cosh.f64 (asinh.f64 (exp.f64 (log.f64 x)))) |
(cosh.f64 (neg.f64 (asinh.f64 (neg.f64 x)))) |
(cosh.f64 (asinh.f64 (neg.f64 x))) |
(cosh.f64 (asinh.f64 x)) |
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(fabs.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) |
(fabs.f64 (cosh.f64 (asinh.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cosh.f64 (asinh.f64 x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (cosh.f64 (asinh.f64 x)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cosh.f64 (asinh.f64 x)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 4 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 (asinh.f64 x))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (cosh.f64 (asinh.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (asinh.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (asinh.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (log.f64 (cosh.f64 (asinh.f64 x)))) (sinh.f64 (log.f64 (cosh.f64 (asinh.f64 x))))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
Compiled 8 645 to 1 829 computations (78.8% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 403 | 4 | 407 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 404 | 4 | 408 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 29.2% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
| ▶ | 24.7% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))) |
| ▶ | 99.8% | (asinh.f64 x) |
| ▶ | 48.6% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
Compiled 50 to 38 computations (24% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | (asinh.f64 x) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 119 |
| 0 | 36 | 119 |
| 1 | 54 | 119 |
| 2 | 104 | 119 |
| 3 | 278 | 119 |
| 4 | 547 | 119 |
| 5 | 661 | 119 |
| 6 | 695 | 119 |
| 7 | 867 | 119 |
| 8 | 985 | 119 |
| 9 | 1010 | 119 |
| 10 | 1020 | 119 |
| 11 | 1020 | 119 |
| 12 | 1132 | 119 |
| 13 | 1212 | 119 |
| 14 | 1212 | 119 |
| 0 | 1212 | 114 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
#s(literal 3/40 binary64) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
(asinh.f64 x) |
x |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
#s(literal 3/40 binary64) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
(asinh.f64 x) |
x |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal -1/2 binary64) x) | |
| accuracy | 27.63513382547312 | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) | |
| accuracy | 44.45505188743437 | #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 27.63513382547312 | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))) | |
| accuracy | 47.08606052373984 | #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0.1328125 | (asinh.f64 x) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) | |
| accuracy | 0.02734375 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) | |
| accuracy | 0.171875 | (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) | |
| accuracy | 32.91729342546196 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
| 88.0ms | 141× | 1 | valid |
| 76.0ms | 48× | 2 | valid |
| 14.0ms | 67× | 0 | valid |
Compiled 93 to 21 computations (77.4% saved)
ival-pow: 50.0ms (31.8% of total)ival-mult: 44.0ms (28% of total)ival-log: 20.0ms (12.7% of total)ival-hypot: 11.0ms (7% of total)const: 10.0ms (6.4% of total)adjust: 9.0ms (5.7% of total)ival-add: 5.0ms (3.2% of total)ival-div: 3.0ms (1.9% of total)ival-asinh: 2.0ms (1.3% of total)ival-sub: 2.0ms (1.3% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(asinh.f64 x) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(pow x 3) |
-1/6 |
(- (* 3/40 (pow x 2)) 1/6) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(* 2 x) |
(/ -1/2 x) |
(* 3/40 (pow x 2)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | 0 | ((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (- (* 3/40 (* x x)) 1/6)) x) (pow x 3) (- (* 3/40 (* x x)) 1/6) (asinh x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (* 3/40 (* x x))) |
| 3.0ms | x | @ | -inf | ((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (- (* 3/40 (* x x)) 1/6)) x) (pow x 3) (- (* 3/40 (* x x)) 1/6) (asinh x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (* 3/40 (* x x))) |
| 2.0ms | x | @ | inf | ((log (+ x (sqrt (+ (* x x) 1)))) (+ (* (pow x 3) (- (* 3/40 (* x x)) 1/6)) x) (pow x 3) (- (* 3/40 (* x x)) 1/6) (asinh x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (* 2 x) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) (* 3/40 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 387 |
| 1 | 348 | 373 |
| 2 | 965 | 372 |
| 3 | 3322 | 364 |
| 0 | 8349 | 349 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(pow x 3) |
-1/6 |
(- (* 3/40 (pow x 2)) 1/6) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(* 2 x) |
(/ -1/2 x) |
(* 3/40 (pow x 2)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 3/40 (pow x 2)) 1/6) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* 3/40 (pow x 2)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 3/40 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) x))) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(-.f64 (-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 7 binary64))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 107 |
| 0 | 36 | 88 |
| 1 | 114 | 88 |
| 2 | 710 | 80 |
| 0 | 8679 | 80 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(asinh.f64 x) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x x))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(neg.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x)) (neg.f64 x) (neg.f64 x)) |
(fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x)) (neg.f64 x) x) |
(fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 x)) |
(fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) x) |
(fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x)) |
(fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x) |
(fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (neg.f64 x)) (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (neg.f64 x)) (*.f64 (neg.f64 x) x) x) |
(fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))) (*.f64 x x)) x (neg.f64 x)) |
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(neg.f64 (*.f64 #s(literal -3/40 binary64) (*.f64 x x))) |
(sqrt.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fabs.f64 (*.f64 #s(literal -3/40 binary64) (*.f64 x x))) |
(fabs.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) |
Compiled 7 936 to 916 computations (88.5% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 247 | 4 | 251 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 249 | 6 | 255 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 29.2% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
| ▶ | 24.7% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))) |
| ✓ | 99.8% | (asinh.f64 x) |
| ▶ | 48.6% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x x) x)) |
| ▶ | 48.6% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) x x)) |
| ▶ | 48.6% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
Compiled 100 to 67 computations (33% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x x) | |
| cost-diff | 0 | #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x x) x)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x x) x) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) x x)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) x x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) | |
| cost-diff | 2 | (*.f64 (*.f64 x x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 231 |
| 0 | 42 | 231 |
| 1 | 73 | 217 |
| 2 | 145 | 217 |
| 3 | 337 | 217 |
| 4 | 577 | 217 |
| 5 | 816 | 217 |
| 6 | 936 | 217 |
| 7 | 969 | 217 |
| 8 | 982 | 217 |
| 9 | 982 | 217 |
| 10 | 1100 | 217 |
| 11 | 1180 | 217 |
| 12 | 1180 | 217 |
| 0 | 1180 | 212 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
#s(literal 3/40 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) x x)) |
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) x x) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(*.f64 x x) |
x |
#s(literal 3/40 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x x) x)) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x x) x) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(*.f64 x x) |
x |
#s(literal 3/40 binary64) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)) |
(+.f64 x x) |
x |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
x |
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
#s(literal 3/40 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) x x) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) |
(*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 3/40 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x x) x) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) |
(*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 3/40 binary64) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
x |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x x) | |
| accuracy | 27.63513382547312 | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))) | |
| accuracy | 47.08606052373984 | #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)) | |
| accuracy | 0.0390625 | (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x x) x) | |
| accuracy | 0.171875 | (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) | |
| accuracy | 0.2578125 | (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) | |
| accuracy | 32.91729342546196 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x x) x)) | |
| accuracy | 0.08203125 | (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) | |
| accuracy | 0.171875 | (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) | |
| accuracy | 0.2578125 | (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) | |
| accuracy | 32.91729342546196 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) x x)) | |
| accuracy | 0.02734375 | (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.171875 | (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) | |
| accuracy | 32.91729342546196 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
| 100.0ms | 141× | 1 | valid |
| 74.0ms | 48× | 2 | valid |
| 42.0ms | 67× | 0 | valid |
Compiled 183 to 24 computations (86.9% saved)
ival-mult: 46.0ms (27.8% of total)ival-add: 38.0ms (23% of total)const: 32.0ms (19.3% of total)ival-log: 20.0ms (12.1% of total)adjust: 13.0ms (7.9% of total)ival-hypot: 12.0ms (7.2% of total)ival-sub: 4.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(*.f64 x x) |
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) x x)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x x) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x x) x)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)) |
(+.f64 x x) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
| Outputs |
|---|
(pow x 3) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(pow x 2) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(* -1/6 x) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
-1/6 |
(- (* 3/40 (pow x 2)) 1/6) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(* 2 x) |
(* 3/40 (pow x 2)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 4)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 3)) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((* (* x x) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (- (* 3/40 (* x x)) 1/6)) x) (* x x) (+ (* (* (* (- (* (* x x) 3/40) 1/6) x) x) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (* (- (* (* x x) 3/40) 1/6) x) x) (* (- (* (* x x) 3/40) 1/6) x) (+ (* (* (- (* (* x x) 3/40) 1/6) x) (* x x)) x) (log (+ x (sqrt (+ (* x x) 1)))) (- (* (* x x) 3/40) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ x x) (* 3/40 (* x x)) (* (* x x) 3/40)) |
| 2.0ms | x | @ | -inf | ((* (* x x) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (- (* 3/40 (* x x)) 1/6)) x) (* x x) (+ (* (* (* (- (* (* x x) 3/40) 1/6) x) x) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (* (- (* (* x x) 3/40) 1/6) x) x) (* (- (* (* x x) 3/40) 1/6) x) (+ (* (* (- (* (* x x) 3/40) 1/6) x) (* x x)) x) (log (+ x (sqrt (+ (* x x) 1)))) (- (* (* x x) 3/40) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ x x) (* 3/40 (* x x)) (* (* x x) 3/40)) |
| 2.0ms | x | @ | 0 | ((* (* x x) x) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* x x) x) (- (* 3/40 (* x x)) 1/6)) x) (* x x) (+ (* (* (* (- (* (* x x) 3/40) 1/6) x) x) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (* (- (* (* x x) 3/40) 1/6) x) x) (* (- (* (* x x) 3/40) 1/6) x) (+ (* (* (- (* (* x x) 3/40) 1/6) x) (* x x)) x) (log (+ x (sqrt (+ (* x x) 1)))) (- (* (* x x) 3/40) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (+ x x) (* 3/40 (* x x)) (* (* x x) 3/40)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 460 |
| 1 | 367 | 446 |
| 2 | 1017 | 445 |
| 3 | 3499 | 437 |
| 0 | 8465 | 419 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 3) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(pow x 2) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(* -1/6 x) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
-1/6 |
(- (* 3/40 (pow x 2)) 1/6) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(* 2 x) |
(* 3/40 (pow x 2)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 4)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 3)) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
| Outputs |
|---|
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(*.f64 (*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 3/40 (pow x 2)) 1/6) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 3/40 (pow x 2)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 3/40 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 3/40 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/40 binary64)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 3/40 (pow x 3)) |
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) x))) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(-.f64 (-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3/40 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3/40 binary64))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) x) (/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 187 |
| 0 | 42 | 146 |
| 1 | 172 | 146 |
| 0 | 911 | 146 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(*.f64 x x) |
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) x x)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x x) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x x) x)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)) |
(+.f64 x x) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (neg.f64 x)) (neg.f64 x) x) |
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (fabs.f64 x)) (fabs.f64 x) x) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) x) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) x) |
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x x) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x) x) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) |
(fma.f64 x (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x)) x)) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) (*.f64 x x))) |
(-.f64 x (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 x x)) (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) x) |
(+.f64 x (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
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(/.f64 (-.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))) |
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(+.f64 x x) |
(*.f64 (*.f64 #s(literal 3/40 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 3/40 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 3/40 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 3/40 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 3/40 binary64))) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(*.f64 x (*.f64 #s(literal 3/40 binary64) x)) |
(*.f64 (*.f64 #s(literal 3/40 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 3/40 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 3/40 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 3/40 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 3/40 binary64))) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(*.f64 x (*.f64 #s(literal 3/40 binary64) x)) |
Compiled 6 499 to 896 computations (86.2% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 230 | 6 | 236 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 2 | 2 |
| Total | 232 | 10 | 242 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 29.2% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
| ✓ | 24.7% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))) |
| ✓ | 99.8% | (asinh.f64 x) |
| ▶ | 48.6% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) x x)) |
| ▶ | 47.0% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x)) |
| 48.6% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) x)) | |
| ✓ | 48.6% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
| ▶ | 48.6% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x)) |
| ▶ | 47.0% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) |
| ▶ | 47.0% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x)) |
Compiled 388 to 252 computations (35.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) x x)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) x x) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x)) | |
| cost-diff | 2 | (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x) | |
| cost-diff | 0 | #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x)) | |
| cost-diff | 0 | #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) | |
| cost-diff | 0 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x)) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 427 |
| 0 | 53 | 427 |
| 1 | 96 | 419 |
| 2 | 226 | 419 |
| 3 | 610 | 419 |
| 4 | 1145 | 419 |
| 5 | 1652 | 419 |
| 6 | 1956 | 419 |
| 7 | 2053 | 419 |
| 8 | 2090 | 419 |
| 9 | 2095 | 419 |
| 10 | 2095 | 419 |
| 11 | 2095 | 419 |
| 12 | 2427 | 419 |
| 13 | 2667 | 419 |
| 14 | 2667 | 419 |
| 0 | 2667 | 406 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x)) |
(fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x) |
(*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) |
#s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal 3/40 binary64) |
(*.f64 x x) |
x |
#s(literal -1/6 binary64) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x)) |
(fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) 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 (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) |
(fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x) |
(*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
x |
(*.f64 x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x)) |
(fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x) |
(*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) |
(*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
x |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) x x)) |
(fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) x x) |
(*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) |
(*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) |
#s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal 3/40 binary64) |
(*.f64 x x) |
x |
#s(literal -1/6 binary64) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)) |
(fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x) |
(*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) |
(*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x) |
#s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
#s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) |
#s(literal 3/40 binary64) |
(*.f64 x x) |
x |
#s(literal -1/6 binary64) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x x)) |
(fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x) |
(fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x x) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) 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 (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x)) |
(fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) |
(*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
x |
(*.f64 x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) |
(*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
x |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)) |
(fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) x x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) |
(*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) |
(*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x) |
#s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
#s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) |
#s(literal 3/40 binary64) |
(*.f64 x x) |
x |
#s(literal -1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08203125 | (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) | |
| accuracy | 0.10546875 | (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) | |
| accuracy | 0.2578125 | (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) | |
| accuracy | 32.91729342546196 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) x x)) | |
| accuracy | 0.08203125 | (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) | |
| accuracy | 0.2578125 | (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) | |
| accuracy | 32.91729342546196 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x)) | |
| accuracy | 34.0394656903085 | #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) | |
| accuracy | 0.0390625 | (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x) | |
| accuracy | 0.2578125 | (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) | |
| accuracy | 32.91729342546196 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) | |
| accuracy | 34.0394656903085 | #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) | |
| accuracy | 0.02734375 | (fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x) | |
| accuracy | 0.16015625 | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) | |
| accuracy | 32.91729342546196 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x)) | |
| accuracy | 34.24876895351557 | #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) | |
| accuracy | 0.0390625 | (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x) | |
| accuracy | 0.10546875 | (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) | |
| accuracy | 0.2578125 | (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) | |
| accuracy | 32.91729342546196 | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x)) |
| 79.0ms | 141× | 1 | valid |
| 39.0ms | 48× | 2 | valid |
| 13.0ms | 67× | 0 | valid |
Compiled 262 to 22 computations (91.6% saved)
ival-add: 27.0ms (26% of total)ival-mult: 21.0ms (20.2% of total)ival-log: 20.0ms (19.3% of total)const: 13.0ms (12.5% of total)ival-hypot: 11.0ms (10.6% of total)adjust: 9.0ms (8.7% of total)ival-sub: 2.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x)) |
(*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) |
#s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x)) |
(fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) |
(*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x)) |
(*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) |
(fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) x x)) |
(*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(* -1/6 x) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
-1/6 |
(- (* 3/40 (pow x 2)) 1/6) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 3/40 (pow x 3)) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 2)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 4)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((+ (* (* (- (* (* x x) 3/40) 1/6) x) (* x x)) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (- (* (* x x) 3/40) 1/6) x) (- (* (* x x) 3/40) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* (- (* (* x x) 3/40) 1/6) x) x) x) x) (* (* (- (* (* x x) 3/40) 1/6) x) x) (* (* x x) -1/6) (+ (* (* (- (* (* x x) 3/40) 1/6) x) (* x x)) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (- (* (* x x) 3/40) 1/6) x) (- (* (* x x) 3/40) 1/6) (+ (* (* (* (- (* (* x x) 3/40) 1/6) x) x) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (* (- (* (* x x) 3/40) 1/6) x) x) (+ (* (* (* (- (* (* x x) 3/40) 1/6) x) x) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (* (- (* (* x x) 3/40) 1/6) x) x) (+ (* 3/40 (* x x)) -1/6)) |
| 2.0ms | x | @ | -inf | ((+ (* (* (- (* (* x x) 3/40) 1/6) x) (* x x)) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (- (* (* x x) 3/40) 1/6) x) (- (* (* x x) 3/40) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* (- (* (* x x) 3/40) 1/6) x) x) x) x) (* (* (- (* (* x x) 3/40) 1/6) x) x) (* (* x x) -1/6) (+ (* (* (- (* (* x x) 3/40) 1/6) x) (* x x)) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (- (* (* x x) 3/40) 1/6) x) (- (* (* x x) 3/40) 1/6) (+ (* (* (* (- (* (* x x) 3/40) 1/6) x) x) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (* (- (* (* x x) 3/40) 1/6) x) x) (+ (* (* (* (- (* (* x x) 3/40) 1/6) x) x) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (* (- (* (* x x) 3/40) 1/6) x) x) (+ (* 3/40 (* x x)) -1/6)) |
| 1.0ms | x | @ | 0 | ((+ (* (* (- (* (* x x) 3/40) 1/6) x) (* x x)) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (- (* (* x x) 3/40) 1/6) x) (- (* (* x x) 3/40) 1/6) (log (+ x (sqrt (+ (* x x) 1)))) (+ (* (* (* (- (* (* x x) 3/40) 1/6) x) x) x) x) (* (* (- (* (* x x) 3/40) 1/6) x) x) (* (* x x) -1/6) (+ (* (* (- (* (* x x) 3/40) 1/6) x) (* x x)) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (- (* (* x x) 3/40) 1/6) x) (- (* (* x x) 3/40) 1/6) (+ (* (* (* (- (* (* x x) 3/40) 1/6) x) x) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (* (- (* (* x x) 3/40) 1/6) x) x) (+ (* (* (* (- (* (* x x) 3/40) 1/6) x) x) x) x) (log (+ x (sqrt (+ (* x x) 1)))) (* (* (- (* (* x x) 3/40) 1/6) x) x) (+ (* 3/40 (* x x)) -1/6)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 327 |
| 1 | 217 | 313 |
| 2 | 582 | 313 |
| 3 | 1969 | 313 |
| 4 | 5617 | 313 |
| 0 | 8497 | 302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(* -1/6 x) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
-1/6 |
(- (* 3/40 (pow x 2)) 1/6) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 3/40 (pow x 3)) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 2)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 4)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* x (- (* 3/40 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 3/40 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) x) |
(* 3/40 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 3/40 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3/40 binary64)) |
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) |
(* 3/40 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) |
(* 3/40 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/40 binary64)) |
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(-.f64 (-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3/40 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 347 |
| 0 | 53 | 312 |
| 1 | 215 | 304 |
| 2 | 1244 | 304 |
| 0 | 8723 | 296 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x)) |
(*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) |
#s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x)) |
(fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) |
(*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x)) |
(*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) |
(fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) x x)) |
(*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (*.f64 x x) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x)) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (*.f64 x x))) x) (*.f64 (neg.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (*.f64 x x))) x))) (+.f64 x (*.f64 (neg.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (*.f64 x x))) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)) (*.f64 x x)) (*.f64 (neg.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)) (*.f64 x x)))) (+.f64 x (*.f64 (neg.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))))) (+.f64 x (*.f64 (neg.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x)) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (*.f64 x x))) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (*.f64 x x))) x) (*.f64 (neg.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (*.f64 x x))) x) (*.f64 x (*.f64 (neg.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (*.f64 x x))) x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)) (*.f64 x x)) (*.f64 (neg.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)) (*.f64 x x)) (*.f64 x (*.f64 (neg.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) x)) (*.f64 x x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 (neg.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))) |
(/.f64 (-.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 3/40 binary64) x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal 3/40 binary64) x)) x) (*.f64 (neg.f64 (*.f64 #s(literal 3/40 binary64) x)) x) (*.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 3/40 binary64) x)) x))))) |
(/.f64 (-.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 3/40 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 3/40 binary64)))))) |
(/.f64 (-.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 #s(literal -3/40 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -3/40 binary64) (*.f64 x x)) (*.f64 #s(literal -3/40 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -3/40 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 3/40 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 3/40 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) (/.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))) (*.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))) #s(literal -1/216 binary64))) (*.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 3/40 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) |
(/.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))) |
(/.f64 (fma.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 3/40 binary64) (neg.f64 x))) x #s(literal -1/6 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 3/40 binary64) x)) x #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 3/40 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 3/40 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 3/40 binary64) x)) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 #s(literal 3/40 binary64) x) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) (/.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 3/40 binary64) (neg.f64 x))) (neg.f64 x))) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 3/40 binary64)))) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 3/40 binary64) x)) x)) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 3/40 binary64))) |
(-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -3/40 binary64) (*.f64 x x))) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 3/40 binary64) x))) |
(+.f64 (/.f64 #s(literal -1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))) (/.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/80 binary64))))) (/.f64 #s(literal -1/216 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/80 binary64)))))) |
(+.f64 (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) (/.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))) |
(+.f64 (/.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/80 binary64) #s(literal 1/36 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) |
Compiled 19 600 to 1 364 computations (93% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 323 | 5 | 328 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 326 | 12 | 338 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 29.2% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
| ✓ | 24.7% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))) |
| ✓ | 99.8% | (asinh.f64 x) |
| 48.6% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))) x) x) x x)) | |
| ✓ | 48.6% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) x x)) |
| 48.3% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) x) x) x x)) | |
| ✓ | 48.6% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
| 48.6% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))) x) (*.f64 x x) x)) | |
| 48.3% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) x) (*.f64 x x) x)) | |
| ✓ | 47.0% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) |
| ✓ | 47.0% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x)) |
| 47.0% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) |
Compiled 747 to 280 computations (62.5% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) x) x) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))) x) x) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x x) x)) |
(asinh.f64 x) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x))) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x))) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| Outputs |
|---|
(asinh.f64 x) |
3 calls:
| 5.0ms | x |
| 4.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 4.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 99.8% | 1 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 99.8% | 1 | x |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) x) x) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) x) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) x #s(literal -1/6 binary64))) x) x) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) x) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) x) (*.f64 x x) x)) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x)) |
3 calls:
| 10.0ms | x |
| 3.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 3.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.6% | 1 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 48.6% | 1 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 48.6% | 1 | x |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) x) x) x x)) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) x) (*.f64 x x) x)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 2.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.3% | 1 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 48.3% | 1 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 48.3% | 1 | x |
Compiled 18 to 14 computations (22.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 #s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x) x x)) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) |
3 calls:
| 2.0ms | x |
| 1.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 1.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.0% | 1 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 47.0% | 1 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 47.0% | 1 | x |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 89 |
| 1 | 40 | 89 |
| 2 | 70 | 89 |
| 3 | 115 | 89 |
| 4 | 152 | 89 |
| 5 | 172 | 89 |
| 6 | 183 | 89 |
| 1× | saturated |
| Inputs |
|---|
(asinh.f64 x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(asinh.f64 x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) (*.f64 (*.f64 x x) #s(literal 3/40 binary64))) x) (*.f64 x x) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 #s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 347 |
| 0 | 53 | 312 |
| 1 | 215 | 304 |
| 2 | 1244 | 304 |
| 0 | 8723 | 296 |
| 0 | 128 | 460 |
| 1 | 367 | 446 |
| 2 | 1017 | 445 |
| 3 | 3499 | 437 |
| 0 | 8465 | 419 |
| 0 | 125 | 448 |
| 1 | 384 | 440 |
| 2 | 1149 | 432 |
| 3 | 4065 | 428 |
| 0 | 8153 | 409 |
| 0 | 25 | 107 |
| 0 | 36 | 88 |
| 1 | 114 | 88 |
| 2 | 710 | 80 |
| 0 | 8679 | 80 |
| 0 | 85 | 327 |
| 1 | 217 | 313 |
| 2 | 582 | 313 |
| 3 | 1969 | 313 |
| 4 | 5617 | 313 |
| 0 | 8497 | 302 |
| 0 | 7 | 31 |
| 0 | 12 | 18 |
| 1 | 51 | 18 |
| 2 | 360 | 16 |
| 3 | 4421 | 16 |
| 0 | 8160 | 15 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 246 to 146 computations (40.7% saved)
Compiled 244 to 104 computations (57.4% saved)
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