
Time bar (total: 3.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 1 |
Compiled 6 to 5 computations (16.7% saved)
| 532.0ms | 8 256× | 0 | valid |
ival-acosh: 158.0ms (67.8% of total)ival->=: 62.0ms (26.6% of total)exact: 7.0ms (3% of total)ival-assert: 4.0ms (1.7% of total)adjust: 3.0ms (1.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 133 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) | oflow-rescue | 133 | 0 |
| ↳ | (-.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 133 | |
| ↳ | (*.f64 x x) | overflow | 133 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 133 | 0 |
| - | 0 | 123 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 133 | 0 | 0 |
| - | 0 | 0 | 123 |
| number | freq |
|---|---|
| 0 | 123 |
| 1 | 133 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 86.0ms | 512× | 0 | valid |
Compiled 79 to 25 computations (68.4% saved)
ival-sqrt: 15.0ms (48.5% of total)ival-log: 5.0ms (16.2% of total)ival-mult: 4.0ms (12.9% of total)ival-add: 3.0ms (9.7% of total)ival-sub: 3.0ms (9.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 0 | 7 | 9 |
| 0 | 12 | 9 |
| 1 | 22 | 9 |
| 2 | 46 | 9 |
| 3 | 85 | 9 |
| 4 | 145 | 9 |
| 5 | 233 | 9 |
| 6 | 448 | 9 |
| 7 | 717 | 9 |
| 8 | 1083 | 9 |
| 9 | 1774 | 9 |
| 10 | 4969 | 9 |
| 11 | 6202 | 9 |
| 12 | 7383 | 9 |
| 13 | 7932 | 9 |
| 0 | 8200 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 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 |
|---|---|---|
| ▶ | 49.7% | (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 | 22 | 33 |
| 2 | 46 | 33 |
| 3 | 85 | 33 |
| 4 | 145 | 33 |
| 5 | 233 | 33 |
| 6 | 448 | 33 |
| 7 | 717 | 33 |
| 8 | 1083 | 33 |
| 9 | 1774 | 33 |
| 10 | 4969 | 33 |
| 11 | 6202 | 33 |
| 12 | 7383 | 33 |
| 13 | 7932 | 33 |
| 0 | 8200 | 29 |
| 1× | iter limit |
| 1× | node limit |
| 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 | 0.0 | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) | |
| accuracy | 0.00390625 | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 30.988907184484653 | (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 41.0ms | 256× | 0 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-sub: 23.0ms (70.8% of total)ival-log: 3.0ms (9.2% of total)ival-mult: 2.0ms (6.2% of total)ival-sqrt: 2.0ms (6.2% of total)ival-add: 1.0ms (3.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 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 |
(- (pow x 2) 1) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(* -1 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (* 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)) |
| 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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 525 |
| 1 | 470 | 499 |
| 2 | 1636 | 485 |
| 3 | 6830 | 485 |
| 0 | 8396 | 464 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (pow x 2) 1) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(* -1 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(log (sqrt -1)) |
(log.f64 (sqrt.f64 #s(literal -1 binary64))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ x (sqrt -1)) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) x) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) x #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) 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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.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 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(*.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) |
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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(fma.f64 (/.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) x) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) 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 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x) (log.f64 (/.f64 #s(literal -1 binary64) 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 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 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 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -5/128 binary64) (*.f64 x x)) #s(literal -1/16 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) x x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x) x (neg.f64 x)) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(neg.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 x x)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 31 |
| 0 | 12 | 18 |
| 1 | 53 | 18 |
| 2 | 369 | 16 |
| 0 | 4556 | 15 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 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 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (*.f64 (sinh.f64 (acosh.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sinh.f64 (acosh.f64 x)) (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (sinh.f64 (acosh.f64 x)))) (neg.f64 (neg.f64 (sinh.f64 (acosh.f64 x))))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sinh.f64 (acosh.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sinh.f64 (acosh.f64 x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64)) (sinh.f64 (acosh.f64 x)))) |
(*.f64 (neg.f64 (sinh.f64 (acosh.f64 x))) (neg.f64 (sinh.f64 (acosh.f64 x)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sinh.f64 (acosh.f64 x)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #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 (sinh.f64 (acosh.f64 x)) (sinh.f64 (acosh.f64 x))) |
(pow.f64 (neg.f64 (sinh.f64 (acosh.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sinh.f64 (acosh.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 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (sinh.f64 (acosh.f64 x))) (cosh.f64 (asinh.f64 x))) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (pow.f64 x #s(literal 3 binary64)))) (sinh.f64 (acosh.f64 x))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x))) (sinh.f64 (acosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 x)) (sinh.f64 (acosh.f64 (*.f64 x x)))) (cosh.f64 (asinh.f64 x))) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 x)) (sinh.f64 (acosh.f64 (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (pow.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 -1 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 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #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 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (pow.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 -1 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 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (sinh.f64 (acosh.f64 (*.f64 x x)))) (*.f64 (cosh.f64 (asinh.f64 x)) (cosh.f64 (asinh.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (sinh.f64 (acosh.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 (cosh.f64 (asinh.f64 x)) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x)))) (*.f64 (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (pow.f64 x #s(literal 3 binary64)))) (sinh.f64 (acosh.f64 (*.f64 x x)))) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (cosh.f64 (asinh.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (pow.f64 x #s(literal 3 binary64)))) (sinh.f64 (acosh.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x)))) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x))) (sinh.f64 (acosh.f64 (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x))) (sinh.f64 (acosh.f64 (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 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 (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 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 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 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x 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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #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 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1 binary64)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)) |
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(fma.f64 x x #s(literal -1 binary64)) |
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(fma.f64 (/.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (sinh.f64 (acosh.f64 x)) x) (sinh.f64 (acosh.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (sinh.f64 (acosh.f64 x)) x) (sinh.f64 (acosh.f64 x))) (-.f64 (*.f64 (-.f64 (sinh.f64 (acosh.f64 x)) x) (sinh.f64 (acosh.f64 x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (acosh.f64 x)) (exp.f64 (acosh.f64 x)) (*.f64 x x)) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x (sinh.f64 (acosh.f64 x))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (acosh.f64 x)) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x (sinh.f64 (acosh.f64 x))))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (sinh.f64 (acosh.f64 x))) |
(fma.f64 (neg.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64))) x) |
(fma.f64 (fabs.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64))) x) |
(fma.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) x) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sinh.f64 (acosh.f64 x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sinh.f64 (acosh.f64 x))) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))) x) |
(fma.f64 (sqrt.f64 (neg.f64 (sinh.f64 (acosh.f64 x)))) (sqrt.f64 (neg.f64 (sinh.f64 (acosh.f64 x)))) x) |
(fma.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))) (sqrt.f64 (sinh.f64 (acosh.f64 x))) x) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) |
(fma.f64 (pow.f64 (neg.f64 (sinh.f64 (acosh.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sinh.f64 (acosh.f64 x))) #s(literal 1/2 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64)) x) |
(fma.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) x) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x (sinh.f64 (acosh.f64 x)))) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x (sinh.f64 (acosh.f64 x))))) |
(fma.f64 (sinh.f64 (acosh.f64 x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (sinh.f64 (acosh.f64 x)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 x (sinh.f64 (acosh.f64 x)))) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x (sinh.f64 (acosh.f64 x))))) |
(fma.f64 #s(literal 1 binary64) x (sinh.f64 (acosh.f64 x))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (sinh.f64 (acosh.f64 x)))) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x (sinh.f64 (acosh.f64 x))))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 x (/.f64 x (-.f64 x (sinh.f64 (acosh.f64 x)))) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x (sinh.f64 (acosh.f64 x))))) |
(fma.f64 x #s(literal 1 binary64) (sinh.f64 (acosh.f64 x))) |
(-.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (sinh.f64 (acosh.f64 x)) x)) (/.f64 (*.f64 x x) (-.f64 (sinh.f64 (acosh.f64 x)) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sinh.f64 (acosh.f64 x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x (sinh.f64 (acosh.f64 x))))) |
(-.f64 x (neg.f64 (sinh.f64 (acosh.f64 x)))) |
(exp.f64 (acosh.f64 x)) |
(+.f64 (cosh.f64 (acosh.f64 x)) (sinh.f64 (acosh.f64 x))) |
(+.f64 (/.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64))))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (sinh.f64 (acosh.f64 x)))) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x (sinh.f64 (acosh.f64 x))))) |
(+.f64 (sinh.f64 (acosh.f64 x)) x) |
(+.f64 x (sinh.f64 (acosh.f64 x))) |
(*.f64 (neg.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sinh.f64 (acosh.f64 x)))) (sqrt.f64 (neg.f64 (sinh.f64 (acosh.f64 x))))) |
(*.f64 (sqrt.f64 (sinh.f64 (acosh.f64 x))) (sqrt.f64 (sinh.f64 (acosh.f64 x)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sinh.f64 (acosh.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sinh.f64 (acosh.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(pow.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sinh.f64 (acosh.f64 (*.f64 x x)))) (neg.f64 (cosh.f64 (asinh.f64 x)))) |
(/.f64 (neg.f64 (sinh.f64 (acosh.f64 (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (fabs.f64 (sinh.f64 (acosh.f64 (*.f64 x x)))) (fabs.f64 (cosh.f64 (asinh.f64 x)))) |
(/.f64 (fabs.f64 (sinh.f64 (acosh.f64 (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (exp.f64 (acosh.f64 (neg.f64 x))) (exp.f64 (neg.f64 (acosh.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (cosh.f64 (asinh.f64 x))) |
(/.f64 (sinh.f64 (acosh.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x))) #s(literal 2 binary64)) |
(sinh.f64 (acosh.f64 (neg.f64 x))) |
(sinh.f64 (acosh.f64 x)) |
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 (/.f64 (exp.f64 (acosh.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (acosh.f64 x))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sinh.f64 (+.f64 (acosh.f64 x) (log.f64 (-.f64 x (sinh.f64 (acosh.f64 x)))))) (cosh.f64 (log.f64 (-.f64 x (sinh.f64 (acosh.f64 x)))))) (*.f64 (cosh.f64 (+.f64 (acosh.f64 x) (log.f64 (-.f64 x (sinh.f64 (acosh.f64 x)))))) (sinh.f64 (log.f64 (-.f64 x (sinh.f64 (acosh.f64 x))))))) |
(-.f64 (*.f64 (sinh.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (cosh.f64 (log.f64 (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))))) (*.f64 (cosh.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sinh.f64 (log.f64 (fma.f64 x (-.f64 x (sinh.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64))))))) |
(fabs.f64 (neg.f64 (sinh.f64 (acosh.f64 x)))) |
(fabs.f64 (sinh.f64 (acosh.f64 x))) |
(exp.f64 (log.f64 (sinh.f64 (acosh.f64 x)))) |
(+.f64 (cosh.f64 (log.f64 (sinh.f64 (acosh.f64 x)))) (sinh.f64 (log.f64 (sinh.f64 (acosh.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 (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 (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 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
Compiled 6 128 to 1 359 computations (77.8% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 281 | 2 | 283 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 282 | 2 | 284 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x))) |
| ▶ | 99.7% | (acosh.f64 x) |
Compiled 15 to 12 computations (20% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (acosh.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 33 |
| 0 | 14 | 33 |
| 1 | 27 | 33 |
| 2 | 51 | 33 |
| 3 | 90 | 33 |
| 4 | 156 | 33 |
| 5 | 249 | 33 |
| 6 | 467 | 33 |
| 7 | 749 | 33 |
| 8 | 1118 | 33 |
| 9 | 1830 | 33 |
| 10 | 5332 | 33 |
| 11 | 6544 | 33 |
| 12 | 7380 | 33 |
| 0 | 8025 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(acosh.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 |
| Outputs |
|---|
(acosh.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 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0 | (log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x))) | |
| accuracy | 0.3017598055776824 | #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0.20703125 | (acosh.f64 x) |
| 21.0ms | 256× | 0 | valid |
Compiled 27 to 12 computations (55.6% saved)
ival-acosh: 4.0ms (27.8% of total)ival-mult: 3.0ms (20.9% of total)ival-log: 3.0ms (20.9% of total)ival-sqrt: 2.0ms (13.9% of total)ival-add: 1.0ms (7% of total)ival-sub: 1.0ms (7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(acosh.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) |
| Outputs |
|---|
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(* 2 x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x)) |
| 1.0ms | x | @ | inf | ((acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x)) |
| 1.0ms | x | @ | 0 | ((acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 339 |
| 1 | 386 | 321 |
| 2 | 1301 | 311 |
| 3 | 5434 | 311 |
| 0 | 8205 | 302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(* 2 x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
| Outputs |
|---|
(log (sqrt -1)) |
(log.f64 (sqrt.f64 #s(literal -1 binary64))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ x (sqrt -1)) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) x) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) x #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) 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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.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 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(*.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 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 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x) (log.f64 (/.f64 #s(literal -1 binary64) 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 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 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 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 30 |
| 0 | 14 | 24 |
| 1 | 57 | 24 |
| 2 | 378 | 20 |
| 0 | 4777 | 20 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(acosh.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) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (acosh.f64 x)) (neg.f64 (acosh.f64 x)))) (+.f64 #s(literal 0 binary64) (neg.f64 (acosh.f64 x)))) |
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (-.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (log.f64 (fma.f64 x (exp.f64 (neg.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (fma.f64 x (exp.f64 (neg.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))))) (+.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 x (exp.f64 (neg.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (acosh.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (acosh.f64 x)) (neg.f64 (acosh.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (acosh.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 x (exp.f64 (neg.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (-.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (log.f64 (fma.f64 x (exp.f64 (neg.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (fma.f64 x (exp.f64 (neg.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 x (exp.f64 (neg.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))))))) |
(acosh.f64 x) |
(-.f64 (log.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) (*.f64 x x)))) (log.f64 (-.f64 (sinh.f64 (acosh.f64 x)) x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (acosh.f64 x))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 x (exp.f64 (neg.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64)))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (acosh.f64 x))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 x (exp.f64 (neg.f64 (acosh.f64 x))) (fma.f64 x x #s(literal -1 binary64))))) |
(log.f64 (exp.f64 (acosh.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) |
(*.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))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x) |
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(fma.f64 #s(literal 1 binary64) x x) |
(fma.f64 x #s(literal 1 binary64) x) |
(-.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) |
Compiled 990 to 245 computations (75.3% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 49 | 1 | 50 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 50 | 2 | 52 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x))) |
| ✓ | 99.7% | (acosh.f64 x) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 3 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 0 | 11 | 29 |
| 1 | 23 | 29 |
| 2 | 49 | 29 |
| 3 | 88 | 29 |
| 4 | 154 | 29 |
| 5 | 247 | 29 |
| 6 | 465 | 29 |
| 7 | 747 | 29 |
| 8 | 1122 | 29 |
| 9 | 1841 | 29 |
| 10 | 5381 | 29 |
| 11 | 6609 | 29 |
| 12 | 7428 | 29 |
| 0 | 8072 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 |
|---|
(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 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x x) | |
| accuracy | 0.0 | (log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x))) | |
| accuracy | 0.3017598055776824 | #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)) |
| 31.0ms | 256× | 0 | valid |
Compiled 23 to 10 computations (56.5% saved)
ival-log: 17.0ms (68.3% of total)ival-add: 2.0ms (8% of total)ival-mult: 2.0ms (8% of total)ival-sqrt: 2.0ms (8% of total)ival-sub: 1.0ms (4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(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) |
| Outputs |
|---|
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(* 2 x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x)) |
| 1.0ms | x | @ | -inf | ((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x)) |
| 0.0ms | x | @ | 0 | ((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 339 |
| 1 | 386 | 321 |
| 2 | 1301 | 311 |
| 3 | 5434 | 311 |
| 0 | 8205 | 302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(* 2 x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
| Outputs |
|---|
(log (sqrt -1)) |
(log.f64 (sqrt.f64 #s(literal -1 binary64))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 3/40 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ x (sqrt -1)) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) x) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) x #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) 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 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.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 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(*.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 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 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x) (log.f64 (/.f64 #s(literal -1 binary64) 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 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 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 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 5/128 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 0 | 11 | 22 |
| 1 | 59 | 22 |
| 0 | 455 | 22 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(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) |
| Outputs |
|---|
(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) |
Compiled 714 to 175 computations (75.5% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 34 | 0 | 34 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 34 | 2 | 36 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x))) |
| ✓ | 99.7% | (acosh.f64 x) |
Compiled 52 to 31 computations (40.4% saved)
Total -32.3b remaining (-15602.8%)
Threshold costs -32.3b (-15602.8%)
| Inputs |
|---|
(acosh.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 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| Outputs |
|---|
(acosh.f64 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 |
|---|---|---|
| 99.7% | 1 | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 99.7% | 1 | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 99.7% | 1 | x |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2 | 2 |
| 1× | saturated |
| Inputs |
|---|
(acosh.f64 x) |
| Outputs |
|---|
(acosh.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 31 |
| 0 | 12 | 18 |
| 1 | 53 | 18 |
| 2 | 369 | 16 |
| 0 | 4556 | 15 |
| 1× | done |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 to 2 computations (0% saved)
Compiled 46 to 36 computations (21.7% saved)
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