
Time bar (total: 9.7s)
| 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)
| 252.0ms | 8 256× | 0 | valid |
ival-acosh: 90.0ms (72.3% of total)ival->=: 25.0ms (20.1% of total)exact: 7.0ms (5.6% of total)ival-assert: 3.0ms (2.4% of total)| 1× | egg-herbie |
| 29 894× | lower-fma.f64 |
| 29 894× | lower-fma.f32 |
| 4 210× | lower-*.f64 |
| 4 208× | lower-*.f32 |
| 2 884× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 1 | 10 | 7 |
| 2 | 14 | 7 |
| 3 | 17 | 7 |
| 4 | 21 | 7 |
| 5 | 28 | 7 |
| 6 | 35 | 7 |
| 0 | 7 | 9 |
| 0 | 12 | 9 |
| 1 | 21 | 9 |
| 2 | 25 | 9 |
| 3 | 40 | 9 |
| 4 | 71 | 9 |
| 5 | 132 | 9 |
| 6 | 292 | 9 |
| 7 | 572 | 9 |
| 8 | 2045 | 9 |
| 9 | 3155 | 9 |
| 10 | 4433 | 9 |
| 11 | 5106 | 9 |
| 12 | 5408 | 9 |
| 13 | 5593 | 9 |
| 14 | 5695 | 9 |
| 15 | 6014 | 9 |
| 16 | 6560 | 9 |
| 17 | 7671 | 9 |
| 0 | 8091 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| Outputs |
|---|
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 109 | 0 | - | 0 | - | (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
| 1 | 0 | - | 0 | - | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 0 | 0 | - | 0 | - | (-.f32 (*.f32 x x) #s(literal 1 binary32)) |
| 0 | 0 | - | 0 | - | (*.f32 x x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f32 | (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) | oflow-rescue | 109 | 0 |
| ↳ | (*.f32 x x) | overflow | 109 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 109 | |
log.f32 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) | oflow-rescue | 1 | 0 |
| ↳ | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) | overflow | 1 | |
| ↳ | (*.f32 x x) | overflow | 109 | |
| ↳ | (-.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 109 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 109 | 0 |
| - | 0 | 147 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 109 | 0 | 0 |
| - | 0 | 0 | 147 |
| number | freq |
|---|---|
| 0 | 147 |
| 1 | 108 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 512× | 0 | valid |
Compiled 90 to 32 computations (64.4% saved)
ival-log: 5.0ms (27.3% of total)ival-mult: 4.0ms (21.8% of total)ival-sub: 3.0ms (16.4% of total)ival-sqrt: 3.0ms (16.4% of total)ival-add: 2.0ms (10.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.1% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| ✓ | cost-diff | 0 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ✓ | cost-diff | 64 | (-.f32 (*.f32 x x) #s(literal 1 binary32)) |
| 29 894× | lower-fma.f64 |
| 29 894× | lower-fma.f32 |
| 4 210× | lower-*.f64 |
| 4 208× | lower-*.f32 |
| 2 884× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 33 |
| 0 | 12 | 33 |
| 1 | 21 | 33 |
| 2 | 25 | 33 |
| 3 | 40 | 33 |
| 4 | 71 | 33 |
| 5 | 132 | 33 |
| 6 | 292 | 33 |
| 7 | 572 | 33 |
| 8 | 2045 | 33 |
| 9 | 3155 | 33 |
| 10 | 4433 | 33 |
| 11 | 5106 | 33 |
| 12 | 5408 | 33 |
| 13 | 5593 | 33 |
| 14 | 5695 | 33 |
| 15 | 6014 | 33 |
| 16 | 6560 | 33 |
| 17 | 7671 | 33 |
| 0 | 8091 | 29 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
x |
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
(-.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
| Outputs |
|---|
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
x |
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(-.f32 (*.f32 x x) #s(literal 1 binary32)) |
(fma.f32 x x #s(literal -1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f32 (*.f32 x x) #s(literal 1 binary32)) |
| ✓ | accuracy | 99.9% | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| ✓ | accuracy | 99.6% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| ✓ | accuracy | 63.1% | (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
| 16.0ms | 256× | 0 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-log: 5.0ms (44.6% of total)ival-mult: 2.0ms (17.8% of total)ival-sqrt: 2.0ms (17.8% of total)ival-sub: 1.0ms (8.9% of total)ival-add: 1.0ms (8.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f32 (*.f32 x x) #s(literal 1 binary32))> |
#<alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))> |
#<alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))> |
#<alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))> |
| Outputs |
|---|
#<alt -1> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (log (sqrt -1))> |
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))> |
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))> |
#<alt (+ (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)))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log -1/2) (log (/ -1 x)))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))> |
#<alt (sqrt -1)> |
#<alt (+ x (sqrt -1))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))> |
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))> |
#<alt (+ (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))))))> |
#<alt x> |
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (log (+ x (sqrt (- (* x x) 1)))) |
| 1.0ms | x | @ | -inf | (log (+ x (sqrt (- (* x x) 1)))) |
| 1.0ms | x | @ | inf | (log (+ x (sqrt (- (* x x) 1)))) |
| 1.0ms | x | @ | inf | (- (* x x) 1) |
| 0.0ms | x | @ | -inf | (+ x (sqrt (- (* x x) 1))) |
| 1× | egg-herbie |
| 10 204× | lower-fma.f64 |
| 10 204× | lower-fma.f32 |
| 3 650× | lower-*.f64 |
| 3 650× | lower-*.f32 |
| 2 854× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 559 |
| 1 | 411 | 533 |
| 2 | 1143 | 526 |
| 3 | 3327 | 488 |
| 4 | 7966 | 488 |
| 0 | 8526 | 459 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(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))))) |
(+ (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)))) |
(+ (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))))))) |
(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) |
(* 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))))) |
(/ 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)) |
(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)))))) |
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))))) |
(* -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 binary32) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x (*.f32 x #s(literal 1/6 binary32)) #s(literal 1 binary32)) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (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.f32 x (fma.f32 x (*.f32 x (/.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x (*.f32 x #s(literal -1/6 binary32)) #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (*.f32 x x))) (*.f32 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+.f32 (log.f32 #s(literal -1/2 binary32)) (neg.f32 (log.f32 (neg.f32 x)))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (log.f32 #s(literal -1/2 binary32)) (neg.f32 (log.f32 (neg.f32 x))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f32 (+.f32 (neg.f32 (log.f32 (neg.f32 x))) (/.f32 #s(literal 3/32 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal -1/2 binary32)))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (neg.f32 (log.f32 (neg.f32 x)))) (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ x (sqrt -1)) |
(+.f32 x (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(fma.f32 x (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x (*.f32 x #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(fma.f32 x #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) (/.f32 #s(literal -1/2 binary32) x)) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) (+.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -5/128 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) x) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f32 x (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 x (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x (*.f32 x #s(literal 1/8 binary32)) #s(literal 1/2 binary32))) (sqrt.f32 #s(literal -1 binary32))) |
(+ (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.f32 x (fma.f32 x (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 x x)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x (*.f32 x #s(literal 1/8 binary32)) #s(literal 1/2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(+.f32 x (/.f32 #s(literal -1/2 binary32) x)) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (fma.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) x)) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f32 x (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) |
| 1× | batch-egg-rewrite |
| 4 994× | lower-fma.f64 |
| 4 994× | lower-fma.f32 |
| 3 230× | lower-*.f64 |
| 3 228× | lower-*.f32 |
| 2 612× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 28 |
| 0 | 12 | 28 |
| 1 | 49 | 28 |
| 2 | 322 | 28 |
| 3 | 3626 | 28 |
| 0 | 8646 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 (*.f32 x x) #s(literal 1 binary32)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
| Outputs |
|---|
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(exp.f32 (*.f32 (neg.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))) |
(+.f32 (*.f32 x x) #s(literal -1 binary32)) |
(+.f32 #s(literal -1 binary32) (*.f32 x x)) |
(+.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x (+.f32 x #s(literal -1 binary32)))) |
(+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))))) |
(+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(+.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) x) (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))) |
(+.f32 (*.f32 (+.f32 x #s(literal -1 binary32)) x) (*.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32))) |
(+.f32 (*.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) x)) |
(+.f32 (*.f32 x (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -1 binary32) (+.f32 x #s(literal 1 binary32)))) |
(+.f32 (*.f32 x (+.f32 x #s(literal -1 binary32))) (+.f32 x #s(literal -1 binary32))) |
(fabs.f32 (fma.f32 x x #s(literal -1 binary32))) |
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)) |
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 4 binary32)) |
(pow.f32 (*.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/4 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1 binary32)))) (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(fma.f32 x x #s(literal -1 binary32)) |
(fma.f32 x (+.f32 x #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (+.f32 x #s(literal 1 binary32)))) |
(fma.f32 x (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))) |
(fma.f32 x (/.f32 (*.f32 x (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal -1 binary32)) |
(fma.f32 (*.f32 x x) (/.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(fma.f32 (*.f32 x x) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))))) |
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)) (*.f32 x (+.f32 x #s(literal -1 binary32)))) |
(fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32)))) |
(fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32)))) |
(fma.f32 (*.f32 x (*.f32 x x)) (/.f32 x (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(fma.f32 (*.f32 x (*.f32 x x)) (/.f32 (*.f32 x (*.f32 x x)) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))))) |
(fma.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))))) |
(fma.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32)))) |
(fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 (*.f32 x x) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))))) |
(fma.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32)))) |
(fma.f32 (+.f32 x #s(literal 1 binary32)) x (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))) |
(fma.f32 (+.f32 x #s(literal 1 binary32)) (/.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32)))) |
(fma.f32 (+.f32 x #s(literal -1 binary32)) x (*.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32))) |
(fma.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 x #s(literal -1 binary32)) x)) |
(fma.f32 (+.f32 x #s(literal -1 binary32)) (/.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32)))) |
(fma.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32)))) |
(fma.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)) (*.f32 x (+.f32 x #s(literal -1 binary32)))) |
(fma.f32 (/.f32 x (fma.f32 x x #s(literal 1 binary32))) (/.f32 (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(fma.f32 (/.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (/.f32 (*.f32 x x) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 x #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(fma.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(fma.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1 binary32))) (fma.f32 x (*.f32 x (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(fma.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (-.f32 #s(literal 1 binary32) (*.f32 x x)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (*.f32 x (+.f32 x #s(literal -1 binary32)))) |
(fma.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))))) |
(fma.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32))) (-.f32 (*.f32 x (*.f32 x (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)))) (-.f32 (*.f32 x (*.f32 x (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))))) |
(-.f32 (*.f32 x x) #s(literal 1 binary32)) |
(-.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32))))) |
(-.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) |
(-.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1 binary32)))) (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))) |
(/.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)) |
(/.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1 binary32))))) |
(/.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))))) |
(/.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x) (+.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(/.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x x) #s(literal -1 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32)) (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))) (neg.f32 (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))) (neg.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (neg.f32 (fma.f32 x x #s(literal 1 binary32)))) |
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(/.f32 (*.f32 (-.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32)) (*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (*.f32 (*.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32)) (*.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (neg.f32 (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (neg.f32 (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 (neg.f32 (fma.f32 x x (-.f32 #s(literal -1 binary32) (*.f32 x x)))) (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (*.f32 (*.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (fma.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (*.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (*.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (fma.f32 x (/.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 (*.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))))) |
(/.f32 (*.f32 (-.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 x (*.f32 x x) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (*.f32 (-.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x (*.f32 x x))))) |
(/.f32 (*.f32 (*.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) |
(*.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) |
(*.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 (neg.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 (neg.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(*.f32 (fma.f32 x x (-.f32 #s(literal -1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(*.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(*.f32 (/.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 x (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))))) (fma.f32 x (*.f32 x (*.f32 x x)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (-.f32 (+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (*.f32 x x))))) |
(*.f32 (/.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (*.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))) (fma.f32 x x (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))) |
(*.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))) (fma.f32 x (*.f32 x x) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32))))) |
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/4 binary32))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32))) |
(exp.f32 (-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)) |
(pow.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/4 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1/2 binary32)) |
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/8 binary32)) |
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))))) |
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1 binary32)))))) |
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))))) |
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x x (*.f32 x (*.f32 x (*.f32 x x)))))))) |
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))))) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (sqrt.f32 (+.f32 x #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal 1 binary32)))))) |
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
Compiled 10 641 to 1 536 computations (85.6% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 360 | 7 | 367 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 361 | 7 | 368 |
| Status | Accuracy | Program |
|---|---|---|
| 60.1% | (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32)))) | |
| ▶ | 99.6% | (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) |
| ▶ | 60.1% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ▶ | 98.1% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
| ▶ | 98.1% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
| ▶ | 96.4% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32)))) |
| 96.0% | #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) |
Compiled 134 to 92 computations (31.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f32 x x #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
| ✓ | cost-diff | 0 | (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
| ✓ | cost-diff | 0 | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ✓ | cost-diff | 0 | (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) |
| ✓ | cost-diff | 0 | #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) |
| ✓ | cost-diff | 0 | (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))) |
| ✓ | cost-diff | 0 | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal -1/2 binary32) x) |
| ✓ | cost-diff | 0 | (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)) |
| ✓ | cost-diff | 0 | #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))) |
| ✓ | cost-diff | 0 | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
| ✓ | cost-diff | 0 | #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))) |
| ✓ | cost-diff | 0 | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32)))) |
| ✓ | cost-diff | 64 | (*.f32 x #s(literal 2 binary32)) |
| ✓ | cost-diff | 0 | (+.f32 x #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (sqrt.f32 (+.f32 x #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x) |
| ✓ | cost-diff | 0 | (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) |
| 24 358× | lower-fma.f64 |
| 24 352× | lower-fma.f32 |
| 3 948× | lower-*.f64 |
| 3 946× | lower-*.f32 |
| 2 780× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 188 |
| 0 | 49 | 181 |
| 1 | 68 | 181 |
| 2 | 70 | 181 |
| 3 | 86 | 181 |
| 4 | 115 | 181 |
| 5 | 176 | 181 |
| 6 | 342 | 181 |
| 7 | 621 | 181 |
| 8 | 2244 | 181 |
| 9 | 3436 | 181 |
| 10 | 4811 | 181 |
| 11 | 5593 | 181 |
| 12 | 6038 | 181 |
| 13 | 6251 | 181 |
| 14 | 6366 | 181 |
| 15 | 6694 | 181 |
| 16 | 7084 | 181 |
| 17 | 7989 | 181 |
| 0 | 8018 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) |
(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x) |
(sqrt.f32 (+.f32 x #s(literal 1 binary32))) |
(+.f32 x #s(literal 1 binary32)) |
x |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 x #s(literal -1 binary32))) |
(+.f32 x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))) |
(*.f32 x #s(literal 2 binary32)) |
x |
#s(literal 2 binary32) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))) |
(fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)) |
x |
#s(literal 2 binary32) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))) |
x |
#s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) |
(+.f32 x (/.f32 #s(literal -1/2 binary32) x)) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(fma.f32 x x #s(literal -1 binary32)) |
x |
#s(literal -1 binary32) |
| Outputs |
|---|
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) |
(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x) |
(sqrt.f32 (+.f32 x #s(literal 1 binary32))) |
(+.f32 x #s(literal 1 binary32)) |
x |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 x #s(literal -1 binary32))) |
(+.f32 x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32)))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)) |
(*.f32 x #s(literal 2 binary32)) |
(+.f32 x x) |
x |
#s(literal 2 binary32) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))) |
(fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)) |
x |
#s(literal 2 binary32) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) |
x |
#s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) |
#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(+.f32 x (/.f32 #s(literal -1/2 binary32) x)) |
(-.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(fma.f32 x x #s(literal -1 binary32)) |
x |
#s(literal -1 binary32) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f32 x x #s(literal -1 binary32)) |
| ✓ | accuracy | 99.9% | (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
| ✓ | accuracy | 99.6% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ✓ | accuracy | 63.1% | (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
| ✓ | accuracy | 100.0% | (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) |
| ✓ | accuracy | 99.9% | (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))) |
| ✓ | accuracy | 99.6% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
| ✓ | accuracy | 98.1% | #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) |
| ✓ | accuracy | 100.0% | (/.f32 #s(literal -1/2 binary32) x) |
| ✓ | accuracy | 100.0% | (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)) |
| ✓ | accuracy | 99.6% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
| ✓ | accuracy | 98.3% | #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))) |
| ✓ | accuracy | 100.0% | (*.f32 x #s(literal 2 binary32)) |
| ✓ | accuracy | 99.6% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32)))) |
| ✓ | accuracy | 96.2% | #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))) |
| ✓ | accuracy | 100.0% | (sqrt.f32 (+.f32 x #s(literal -1 binary32))) |
| ✓ | accuracy | 100.0% | (sqrt.f32 (+.f32 x #s(literal 1 binary32))) |
| ✓ | accuracy | 99.8% | (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x) |
| ✓ | accuracy | 99.6% | (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) |
| 81.0ms | 256× | 0 | valid |
Compiled 157 to 27 computations (82.8% saved)
ival-add: 39.0ms (56% of total)ival-log: 13.0ms (18.7% of total)ival-sqrt: 10.0ms (14.4% of total)ival-mult: 4.0ms (5.7% of total)ival-div: 2.0ms (2.9% of total)ival-sub: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))> |
#<alt (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)> |
#<alt (sqrt.f32 (+.f32 x #s(literal 1 binary32)))> |
#<alt (+.f32 x #s(literal 1 binary32))> |
#<alt (*.f32 x #s(literal 2 binary32))> |
#<alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))))> |
#<alt #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32)))> |
#<alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))))> |
#<alt #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))> |
#<alt (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))> |
#<alt (/.f32 #s(literal -1/2 binary32) x)> |
#<alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))> |
#<alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))> |
#<alt #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))> |
#<alt (+.f32 x (/.f32 #s(literal -1/2 binary32) x))> |
#<alt (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))> |
#<alt (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)> |
#<alt (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))> |
#<alt (fma.f32 x x #s(literal -1 binary32))> |
#<alt (sqrt.f32 (+.f32 x #s(literal -1 binary32)))> |
| Outputs |
|---|
#<alt (log (sqrt -1))> |
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))> |
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))> |
#<alt (+ (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)))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))> |
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))> |
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))> |
#<alt (sqrt -1)> |
#<alt (+ x (sqrt -1))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* x (- (pow (sqrt -1) 2) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (log (sqrt -1))> |
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))> |
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))> |
#<alt (+ (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)))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log -1/2) (log (/ -1 x)))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))> |
#<alt (sqrt -1)> |
#<alt (+ x (sqrt -1))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))> |
#<alt (log (sqrt -1))> |
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))> |
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))> |
#<alt (+ (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)))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log -1/2) (log (/ -1 x)))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))> |
#<alt (sqrt -1)> |
#<alt (+ x (sqrt -1))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)> |
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)> |
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (log (sqrt -1))> |
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))> |
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))> |
#<alt (+ (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)))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log -1/2) (log (/ -1 x)))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))> |
#<alt (sqrt -1)> |
#<alt (+ x (sqrt -1))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))> |
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))> |
#<alt (+ (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))))))> |
#<alt x> |
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (pow x 2) 1/2) x)> |
#<alt (/ (- (pow x 2) 1/2) x)> |
#<alt (/ (- (pow x 2) 1/2) x)> |
#<alt x> |
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))> |
#<alt (log (sqrt -1))> |
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))> |
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))> |
#<alt (+ (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)))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log -1/2) (log (/ -1 x)))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))> |
#<alt (sqrt -1)> |
#<alt (+ x (sqrt -1))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))> |
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))> |
#<alt (+ (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))))))> |
#<alt x> |
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))> |
#<alt -1> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (- (pow x 2) 1)> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))> |
#<alt (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))> |
#<alt (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))> |
#<alt (sqrt x)> |
#<alt (* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))> |
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (log (+ (sqrt (+ (* x x) -1)) x)) |
| 2.0ms | x | @ | -inf | (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) |
| 1.0ms | x | @ | -inf | (sqrt (+ x 1)) |
| 1.0ms | x | @ | 0 | (sqrt (+ x 1)) |
| 1.0ms | x | @ | -inf | (sqrt (+ x -1)) |
| 1× | egg-herbie |
| 21 222× | lower-fma.f64 |
| 21 222× | lower-fma.f32 |
| 5 728× | lower-*.f64 |
| 5 728× | lower-*.f32 |
| 4 042× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 328 | 2988 |
| 1 | 922 | 2671 |
| 2 | 2917 | 2631 |
| 0 | 8273 | 2509 |
| 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))))) |
(+ (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)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 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) |
(* 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))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(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))))) |
(+ (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)))) |
(+ (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))))))) |
(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) |
(* 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))))) |
(/ 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)) |
(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))))) |
(+ (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)))) |
(+ (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))))))) |
(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) |
(* 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))))) |
(/ 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)) |
(/ -1/2 x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* 2 x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(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))))) |
(+ (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)))) |
(+ (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))))))) |
(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) |
(* 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))))) |
(/ 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)) |
(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)))))) |
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))))) |
(* -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)))))) |
(/ -1/2 x) |
(/ (- (pow x 2) 1/2) x) |
(/ (- (pow x 2) 1/2) x) |
(/ (- (pow x 2) 1/2) x) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 1/2 (/ 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))))) |
(+ (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)))) |
(+ (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))))))) |
(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) |
(* 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))))) |
(/ 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)) |
(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)))))) |
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))))) |
(* -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)))))) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f32 x (fma.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (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.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 3/40 binary32)) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (*.f32 x x))) (*.f32 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal -3/32 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(+.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal -3/32 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (/.f32 (fma.f32 #s(literal 1/720 binary32) (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal -1/48 binary32)) (pow.f32 x #s(literal 6 binary32)))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ x (sqrt -1)) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 x (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(fma.f32 x (fma.f32 x (fma.f32 #s(literal 1/8 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(* 2 x) |
(+.f32 x x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f32 x (fma.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x)) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(+.f32 x x) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(*.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (neg.f32 x)) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(neg.f32 (*.f32 x (+.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)) (pow.f32 x #s(literal 6 binary32))))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* 1/2 x)) |
(fma.f32 x #s(literal 1/2 binary32) #s(literal 1 binary32)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f32 x (fma.f32 x #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f32 x (fma.f32 x (fma.f32 x #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) |
(sqrt x) |
(sqrt.f32 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (fma.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f32 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f32 x (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (fma.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) (neg.f32 x)) |
1 |
#s(literal 1 binary32) |
(+ 1 x) |
(+.f32 x #s(literal 1 binary32)) |
(+ 1 x) |
(+.f32 x #s(literal 1 binary32)) |
(+ 1 x) |
(+.f32 x #s(literal 1 binary32)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f32 x #s(literal 1 binary32)) |
(* x (+ 1 (/ 1 x))) |
(+.f32 x #s(literal 1 binary32)) |
(* x (+ 1 (/ 1 x))) |
(+.f32 x #s(literal 1 binary32)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f32 x #s(literal 1 binary32)) |
(* x (+ 1 (/ 1 x))) |
(+.f32 x #s(literal 1 binary32)) |
(* x (+ 1 (/ 1 x))) |
(+.f32 x #s(literal 1 binary32)) |
(* 2 x) |
(+.f32 x x) |
(* 2 x) |
(+.f32 x x) |
(* 2 x) |
(+.f32 x x) |
(* 2 x) |
(+.f32 x x) |
(* 2 x) |
(+.f32 x x) |
(* 2 x) |
(+.f32 x x) |
(* 2 x) |
(+.f32 x x) |
(* 2 x) |
(+.f32 x x) |
(* 2 x) |
(+.f32 x x) |
(* 2 x) |
(+.f32 x x) |
(* 2 x) |
(+.f32 x x) |
(* 2 x) |
(+.f32 x x) |
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f32 x (fma.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (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.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 3/40 binary32)) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (*.f32 x x))) (*.f32 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (*.f32 x (*.f32 x (*.f32 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))))))) |
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(+.f32 x (/.f32 #s(literal -1/2 binary32) x)) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x) |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x) |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x) |
x |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x) |
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f32 x (fma.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (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.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 3/40 binary32)) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (*.f32 x x))) (*.f32 x x)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (*.f32 x (*.f32 x (*.f32 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))))))) |
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (log.f32 #s(literal -1/2 binary32))))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ x (sqrt -1)) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 x (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(fma.f32 x (fma.f32 x (fma.f32 #s(literal 1/8 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(* 2 x) |
(+.f32 x x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f32 x (fma.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x)) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (neg.f32 x)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 5/128 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))) x) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f32 x (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 x (*.f32 x (fma.f32 #s(literal 1/8 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 #s(literal -1 binary32))) |
(+ (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.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 #s(literal 1/16 binary32) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(fma.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) x) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(neg.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x)) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(neg.f32 (fma.f32 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) x)) |
-1 |
#s(literal -1 binary32) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (*.f32 x x)) x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (*.f32 x x)) x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (*.f32 x x)) x)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (*.f32 x x)) x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (*.f32 x x)) x)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (*.f32 x x)) x)) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 x (fma.f32 x (fma.f32 #s(literal 1/16 binary32) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) |
(sqrt x) |
(sqrt.f32 x) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f32 x (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))) |
(*.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))) |
(*.f32 x (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f32 x) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f32 x (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (fma.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) |
| 1× | batch-egg-rewrite |
| 5 964× | lower-fma.f64 |
| 5 958× | lower-fma.f32 |
| 4 336× | lower-/.f64 |
| 4 334× | lower-/.f32 |
| 3 322× | lower-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 170 |
| 0 | 49 | 169 |
| 1 | 184 | 157 |
| 2 | 1359 | 157 |
| 0 | 8328 | 157 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) |
(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x) |
(sqrt.f32 (+.f32 x #s(literal 1 binary32))) |
(+.f32 x #s(literal 1 binary32)) |
(*.f32 x #s(literal 2 binary32)) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))) |
(fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)) |
(/.f32 #s(literal -1/2 binary32) x) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))) |
#s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) |
(+.f32 x (/.f32 #s(literal -1/2 binary32) x)) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(fma.f32 x x #s(literal -1 binary32)) |
(sqrt.f32 (+.f32 x #s(literal -1 binary32))) |
| Outputs |
|---|
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(+.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))) |
(+.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))) |
(+.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) (neg.f32 (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))) |
(+.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) (neg.f32 (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))) |
(+.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(+.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))) |
(+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(-.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) |
(-.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(-.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
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(*.f32 (/.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (-.f32 #s(literal 1 binary32) x))))) |
(*.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 x))))))) |
(*.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (+.f32 x #s(literal -1 binary32))))) |
(*.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (+.f32 x #s(literal 1 binary32))))) |
(*.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (/.f32 (+.f32 x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)))) |
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x))) |
(exp.f32 (*.f32 (log.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32))) |
(exp.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (log1p.f32 x) #s(literal 1/2 binary32)))) |
(pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))) #s(literal 1/4 binary32)) |
(pow.f32 (exp.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)) (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32))))) |
(/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (+.f32 x #s(literal 1 binary32)))) |
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x x x)))) |
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 x))))))) |
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32)))))) |
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (+.f32 x #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)))) |
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (sqrt.f32 (-.f32 #s(literal -1 binary32) x))) |
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)))) |
(sqrt.f32 (+.f32 x #s(literal -1 binary32))) |
(*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (pow.f32 (/.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (/.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 x #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)) #s(literal 1/2 binary32))) |
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)))) |
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)))) |
(*.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/4 binary32))) |
(*.f32 (/.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)))) |
(*.f32 (/.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)))) |
(*.f32 (/.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32)))) |
Compiled 21 640 to 2 917 computations (86.5% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 951 | 4 | 955 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 954 | 8 | 962 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.1% | (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
| ✓ | 99.6% | (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) |
| ✓ | 60.1% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ✓ | 98.1% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
| ▶ | 43.3% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
| ▶ | 96.4% | (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
| ✓ | 98.1% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
| ▶ | 96.0% | #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) |
Compiled 74 to 49 computations (33.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
| ✓ | cost-diff | 128 | (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
| ✓ | cost-diff | 288 | (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
| ✓ | cost-diff | 0 | #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) |
| ✓ | cost-diff | 0 | #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) |
| ✓ | cost-diff | 0 | (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) |
| ✓ | cost-diff | 0 | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
| ✓ | cost-diff | 0 | (+.f32 x x) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) |
| ✓ | cost-diff | 0 | (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
| ✓ | cost-diff | 0 | (log.f32 x) |
| ✓ | cost-diff | 0 | (log.f32 #s(literal 2 binary32)) |
| ✓ | cost-diff | 0 | (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
| ✓ | cost-diff | 0 | #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) |
| 24 894× | lower-fma.f64 |
| 24 892× | lower-fma.f32 |
| 3 984× | lower-*.f64 |
| 3 984× | lower-*.f32 |
| 2 782× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 180 |
| 0 | 49 | 175 |
| 1 | 69 | 173 |
| 2 | 77 | 173 |
| 3 | 109 | 173 |
| 4 | 146 | 173 |
| 5 | 208 | 173 |
| 6 | 375 | 173 |
| 7 | 649 | 173 |
| 8 | 2208 | 173 |
| 9 | 3387 | 173 |
| 10 | 4748 | 173 |
| 11 | 5522 | 173 |
| 12 | 5969 | 173 |
| 13 | 6185 | 173 |
| 14 | 6307 | 173 |
| 15 | 6638 | 173 |
| 16 | 7028 | 173 |
| 17 | 7933 | 173 |
| 0 | 8007 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(log.f32 #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(log.f32 x) |
x |
(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) |
(+.f32 x x) |
x |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) |
x |
#s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) |
#s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
#s(literal 1 binary32) |
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
x |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(fma.f32 x x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
| Outputs |
|---|
#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(log.f32 #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(log.f32 x) |
x |
(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) |
(+.f32 x x) |
x |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) |
x |
#s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) |
#s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
#s(literal 1 binary32) |
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
x |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(fma.f32 x x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
| ✓ | accuracy | 99.9% | (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
| ✓ | accuracy | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
| ✓ | accuracy | 63.1% | (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
| ✓ | accuracy | 99.9% | (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) |
| ✓ | accuracy | 99.6% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
| ✓ | accuracy | 3.2% | #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) |
| ✓ | accuracy | 3.2% | #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) |
| ✓ | accuracy | 100.0% | (+.f32 x x) |
| ✓ | accuracy | 99.6% | (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
| ✓ | accuracy | 96.2% | #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) |
| ✓ | accuracy | 100.0% | (log.f32 x) |
| ✓ | accuracy | 100.0% | (log.f32 #s(literal 2 binary32)) |
| ✓ | accuracy | 99.2% | (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
| ✓ | accuracy | 96.0% | #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) |
| 125.0ms | 256× | 0 | valid |
Compiled 140 to 31 computations (77.9% saved)
ival-add: 61.0ms (53.5% of total)ival-mult: 29.0ms (25.4% of total)ival-log: 11.0ms (9.6% of total)ival-sqrt: 6.0ms (5.3% of total)ival-div: 3.0ms (2.6% of total)ival-sub: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))> |
#<alt (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))> |
#<alt (log.f32 #s(literal 2 binary32))> |
#<alt (log.f32 x)> |
#<alt (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)))> |
#<alt #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))> |
#<alt (+.f32 x x)> |
#<alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))> |
#<alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))> |
#<alt #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))> |
#<alt #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))> |
#<alt (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))> |
#<alt (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))> |
#<alt (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))> |
#<alt (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))> |
#<alt (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))> |
| Outputs |
|---|
#<alt (log (sqrt -1))> |
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))> |
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))> |
#<alt (+ (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)))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))> |
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))> |
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))> |
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))> |
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))> |
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (log (sqrt -1))> |
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))> |
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))> |
#<alt (+ (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)))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))> |
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))> |
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))> |
#<alt (sqrt -1)> |
#<alt (+ x (sqrt -1))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* x (- (pow (sqrt -1) 2) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))> |
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))> |
#<alt (* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (log (sqrt -1))> |
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))> |
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))> |
#<alt (+ (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)))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log -1/2) (log (/ -1 x)))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))> |
#<alt (sqrt -1)> |
#<alt (+ x (sqrt -1))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))> |
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))> |
#<alt (+ (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))))))> |
#<alt x> |
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (pow x 2) 1/2) x)> |
#<alt (/ (- (pow x 2) 1/2) x)> |
#<alt (/ (- (pow x 2) 1/2) x)> |
#<alt x> |
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))> |
#<alt (log (/ 1 (sqrt -1)))> |
#<alt (+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1))))> |
#<alt (+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))> |
#<alt (+ (log (/ 1 (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)))))> |
#<alt (+ (log 1/2) (log (/ 1 x)))> |
#<alt (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (* -1 (log (/ 1 (sqrt -1))))> |
#<alt (- (/ x (sqrt -1)) (log (/ 1 (sqrt -1))))> |
#<alt (- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))> |
#<alt (- (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))> |
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))> |
#<alt (* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* -1 (+ (log -2) (* -1 (log (/ -1 x)))))> |
#<alt (- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))> |
#<alt (/ 1 (sqrt -1))> |
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))> |
#<alt (+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))> |
#<alt (+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)> |
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))> |
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))> |
#<alt (sqrt -1)> |
#<alt (+ x (sqrt -1))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))> |
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))> |
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))> |
#<alt (+ (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))))))> |
#<alt x> |
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | x | @ | -inf | (+ (log 2) (log x)) |
| 47.0ms | x | @ | 0 | (+ (log 2) (log x)) |
| 19.0ms | x | @ | 0 | (log x) |
| 14.0ms | x | @ | inf | (+ (log 2) (log x)) |
| 7.0ms | x | @ | inf | (log x) |
| 1× | egg-herbie |
| 8 096× | lower-fma.f64 |
| 8 096× | lower-fma.f32 |
| 4 120× | lower-+.f64 |
| 4 120× | lower-+.f32 |
| 3 202× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 308 | 2504 |
| 1 | 851 | 2059 |
| 2 | 2660 | 2001 |
| 0 | 8326 | 1937 |
| 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))))) |
(+ (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)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(+ (log 2) (log x)) |
(+ (log 2) (log x)) |
(+ (log 2) (log x)) |
(+ (log 2) (log x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(log x) |
(log x) |
(log x) |
(log x) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(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))))) |
(+ (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)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 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) |
(* 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))))) |
(* -1 (* x (- (pow (sqrt -1) 2) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) |
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(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))))) |
(+ (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)))) |
(+ (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))))))) |
(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) |
(* 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))))) |
(/ 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)) |
(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)))))) |
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))))) |
(* -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)))))) |
(/ -1/2 x) |
(/ (- (pow x 2) 1/2) x) |
(/ (- (pow x 2) 1/2) x) |
(/ (- (pow x 2) 1/2) x) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) |
(log (/ 1 (sqrt -1))) |
(+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1)))) |
(+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (/ 1 (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))))) |
(+ (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))))))) |
(+ (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)))) |
(* -1 (log (/ 1 (sqrt -1)))) |
(- (/ x (sqrt -1)) (log (/ 1 (sqrt -1)))) |
(- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (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)))) (log (/ 1 (sqrt -1)))) |
(* -1 (+ (log 1/2) (log (/ 1 x)))) |
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x)))) |
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(* -1 (+ (log -2) (* -1 (log (/ -1 x))))) |
(- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(/ 1 (sqrt -1)) |
(+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1))) |
(+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1))) |
(+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x) |
(* 2 x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2))) |
(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) |
(* 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))))) |
(/ 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)) |
(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)))))) |
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))))) |
(* -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 |
|---|
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f32 x (fma.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (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.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 3/40 binary32) (/.f32 (*.f32 x x) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (*.f32 x x))) (*.f32 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 #s(literal -2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 #s(literal -2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(+.f32 (+.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 #s(literal -2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (/.f32 (fma.f32 #s(literal 1/720 binary32) (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal -1/48 binary32)) (pow.f32 x #s(literal 6 binary32)))) |
(+ (log 2) (log x)) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(+ (log 2) (log x)) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(+ (log 2) (log x)) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(+ (log 2) (log x)) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
(log x) |
(log.f32 x) |
(log x) |
(log.f32 x) |
(log x) |
(log.f32 x) |
(log x) |
(log.f32 x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(log (sqrt -1)) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f32 x (fma.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (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.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 3/40 binary32) (/.f32 (*.f32 x x) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (*.f32 x x))) (*.f32 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 #s(literal -2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) |
(+.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 #s(literal -2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) |
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) |
(+.f32 (+.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 #s(literal -2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (/.f32 (fma.f32 #s(literal 1/720 binary32) (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal -1/48 binary32)) (pow.f32 x #s(literal 6 binary32)))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ x (sqrt -1)) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 x (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(fma.f32 x (fma.f32 x (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(* 2 x) |
(+.f32 x x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f32 x (+.f32 x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
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(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) |
(/.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x) |
(/.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 6 binary32)))))) x) |
(* 2 x) |
(+.f32 x x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) |
(neg.f32 (*.f32 x (+.f32 #s(literal -2 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2))) |
(*.f32 (neg.f32 x) (+.f32 (+.f32 #s(literal -2 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ x (sqrt -1)) |
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f32 x (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(fma.f32 x (fma.f32 x (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(* 2 x) |
(+.f32 x x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f32 x (+.f32 x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(*.f32 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (*.f32 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 5/128 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))) x) |
(sqrt -1) |
(sqrt.f32 #s(literal -1 binary32)) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f32 x (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) |
(+ (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.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 x x) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f32 x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) x) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(neg.f32 (fma.f32 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) x)) |
| 1× | batch-egg-rewrite |
| 904× | lower-fma.f64 |
| 902× | lower-fma.f32 |
| 578× | lower-/.f64 |
| 574× | lower-/.f32 |
| 530× | lower-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 165 |
| 0 | 49 | 159 |
| 1 | 190 | 144 |
| 0 | 1429 | 144 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(log.f32 #s(literal 2 binary32)) |
(log.f32 x) |
(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) |
(+.f32 x x) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) |
#s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) |
#s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) |
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
| Outputs |
|---|
#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (log.f32 (+.f32 x x))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(-.f32 (log.f32 (*.f32 (fma.f32 x x #s(literal 0 binary32)) (+.f32 x x))) (log.f32 (fma.f32 x x #s(literal 0 binary32)))) |
(-.f32 (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32))) |
(-.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x))) (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)) (*.f32 (log.f32 (+.f32 x x)) (log.f32 (/.f32 #s(literal 2 binary32) x))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) |
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))))) |
(/.f32 (*.f32 (log.f32 (+.f32 x x)) (log.f32 (/.f32 #s(literal 2 binary32) x))) (log.f32 (/.f32 #s(literal 2 binary32) x))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (*.f32 (log.f32 (+.f32 x x)) (log.f32 (/.f32 #s(literal 2 binary32) x)))) (neg.f32 (log.f32 (/.f32 #s(literal 2 binary32) x)))) |
(/.f32 (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (-.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
(*.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) |
(*.f32 (*.f32 (log.f32 (+.f32 x x)) (log.f32 (/.f32 #s(literal 2 binary32) x))) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 2 binary32) x)))) |
(log.f32 (+.f32 x x)) |
(log.f32 #s(literal 2 binary32)) |
(log.f32 x) |
(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) |
(+.f32 x x) |
(fma.f32 x #s(literal 1 binary32) x) |
(fma.f32 #s(literal 1 binary32) x x) |
(-.f32 (/.f32 (*.f32 x x) #s(literal 0 binary32)) (/.f32 (*.f32 x x) #s(literal 0 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 x x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x #s(literal 0 binary32)) (*.f32 (fma.f32 x x #s(literal 0 binary32)) (+.f32 x x)))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
(/.f32 (*.f32 (fma.f32 x x #s(literal 0 binary32)) (+.f32 x x)) (fma.f32 x x #s(literal 0 binary32))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 x x #s(literal 0 binary32)) (+.f32 x x))) (neg.f32 (fma.f32 x x #s(literal 0 binary32)))) |
(*.f32 x #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) x) |
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32))) |
(*.f32 (*.f32 (fma.f32 x x #s(literal 0 binary32)) (+.f32 x x)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 0 binary32)))) |
(-.f32 (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (*.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (*.f32 x x)))) (log.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) x) (*.f32 x x)))) |
(-.f32 (log.f32 (*.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (-.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))) (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) |
(+.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) x) |
(fma.f32 x #s(literal 1 binary32) #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) |
(fma.f32 #s(literal 1 binary32) x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (/.f32 (*.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (-.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) x) (*.f32 x x)) (fma.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (*.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (*.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (-.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))))) |
(/.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (*.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (*.f32 x x))) (fma.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) x) (*.f32 x x))) |
(/.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (*.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (*.f32 x x))) (fma.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (-.f32 (*.f32 x x) (*.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))))) |
(/.f32 (*.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (-.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (-.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(/.f32 (neg.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (*.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (*.f32 x x)))) (neg.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) x) (*.f32 x x)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (-.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))) (neg.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))) |
(/.f32 (-.f32 (*.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (*.f32 x x)) (-.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) x)) |
(*.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (*.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (-.f32 #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) x) (*.f32 x x)))) |
(*.f32 (*.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (-.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))) |
#s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) |
#s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) |
(neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(+.f32 #s(literal 0 binary32) (neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (*.f32 #s(literal 0 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 #s(literal -1 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(neg.f32 (neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(+.f32 #s(literal 0 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(-.f32 #s(literal 0 binary32) (neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(-.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) (log.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(-.f32 (log.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(-.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (*.f32 #s(literal 0 binary32) (neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))) (neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(*.f32 #s(literal -1 binary32) (neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(*.f32 (neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal -1 binary32)) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(exp.f32 (*.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal -1 binary32))) |
(pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) |
(pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal -1 binary32)) |
(fma.f32 x #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1 binary32) x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x) |
(fma.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (sqrt.f32 (+.f32 x #s(literal 1 binary32))) x) |
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) x) |
(-.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)) |
(/.f32 (neg.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal -1 binary32)) |
(/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (*.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (*.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(/.f32 (neg.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x)))) (neg.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(*.f32 #s(literal -1 binary32) (neg.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)) |
(*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) |
(*.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(*.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) |
(*.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32))) |
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (-.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (*.f32 x (neg.f32 x))))) |
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32)))) |
(*.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (sqrt.f32 (+.f32 x #s(literal 1 binary32)))) |
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) |
Compiled 5 028 to 786 computations (84.4% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 307 | 1 | 308 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 4 | 4 |
| Total | 309 | 7 | 316 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 60.1% | (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
| ▶ | 96.8% | (neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
| ✓ | 99.6% | (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) |
| ✓ | 60.1% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ✓ | 98.1% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
| ✓ | 96.4% | (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
| ✓ | 98.1% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
Compiled 65 to 44 computations (32.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1/2 binary32) x) |
| ✓ | cost-diff | 0 | #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)) |
| ✓ | cost-diff | 0 | (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) |
| ✓ | cost-diff | 0 | (neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
| 27 738× | lower-fma.f64 |
| 27 738× | lower-fma.f32 |
| 3 994× | lower-*.f64 |
| 3 994× | lower-*.f32 |
| 2 904× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 50 |
| 0 | 16 | 50 |
| 1 | 25 | 50 |
| 2 | 31 | 50 |
| 3 | 48 | 50 |
| 4 | 79 | 50 |
| 5 | 144 | 50 |
| 6 | 311 | 50 |
| 7 | 593 | 50 |
| 8 | 2115 | 50 |
| 9 | 3259 | 50 |
| 10 | 4538 | 50 |
| 11 | 5239 | 50 |
| 12 | 5558 | 50 |
| 13 | 5756 | 50 |
| 14 | 5867 | 50 |
| 15 | 6187 | 50 |
| 16 | 6733 | 50 |
| 17 | 7844 | 50 |
| 0 | 8080 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) |
#s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)) |
(/.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
x |
| Outputs |
|---|
(neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) |
#s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)) |
(/.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f32 #s(literal 1/2 binary32) x) |
| ✓ | accuracy | 100.0% | (neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
| ✓ | accuracy | 100.0% | (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) |
| ✓ | accuracy | 96.3% | #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)) |
| 23.0ms | 256× | 0 | valid |
Compiled 40 to 14 computations (65% saved)
ival-log: 5.0ms (28.5% of total)ival-div: 4.0ms (22.8% of total)ival-add: 4.0ms (22.8% of total)ival-mult: 2.0ms (11.4% of total)ival-sqrt: 2.0ms (11.4% of total)ival-neg: 1.0ms (5.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))))> |
#<alt (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))> |
#<alt #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))> |
#<alt (/.f32 #s(literal 1/2 binary32) x)> |
| Outputs |
|---|
#<alt (* -1 (log (/ 1 (sqrt -1))))> |
#<alt (- (/ x (sqrt -1)) (log (/ 1 (sqrt -1))))> |
#<alt (- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))> |
#<alt (- (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))> |
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))> |
#<alt (* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (* -1 (+ (log -2) (* -1 (log (/ -1 x)))))> |
#<alt (- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))> |
#<alt (log (/ 1 (sqrt -1)))> |
#<alt (+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1))))> |
#<alt (+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))> |
#<alt (+ (log (/ 1 (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)))))> |
#<alt (+ (log 1/2) (log (/ 1 x)))> |
#<alt (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (/ 1 (sqrt -1))> |
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))> |
#<alt (+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))> |
#<alt (+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)> |
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))> |
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (neg (log (/ 1 (+ x (sqrt (+ (* x x) -1)))))) |
| 0.0ms | x | @ | -inf | (log (/ 1 (+ x (sqrt (+ (* x x) -1))))) |
| 0.0ms | x | @ | inf | (neg (log (/ 1 (+ x (sqrt (+ (* x x) -1)))))) |
| 0.0ms | x | @ | 0 | (neg (log (/ 1 (+ x (sqrt (+ (* x x) -1)))))) |
| 0.0ms | x | @ | inf | (log (/ 1 (+ x (sqrt (+ (* x x) -1))))) |
| 1× | egg-herbie |
| 13 786× | lower-fma.f64 |
| 13 786× | lower-fma.f32 |
| 3 488× | lower-+.f64 |
| 3 488× | lower-+.f32 |
| 3 210× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 607 |
| 1 | 395 | 555 |
| 2 | 1131 | 543 |
| 3 | 3290 | 534 |
| 0 | 8173 | 524 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (log (/ 1 (sqrt -1)))) |
(- (/ x (sqrt -1)) (log (/ 1 (sqrt -1)))) |
(- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (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)))) (log (/ 1 (sqrt -1)))) |
(* -1 (+ (log 1/2) (log (/ 1 x)))) |
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x)))) |
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(* -1 (+ (log -2) (* -1 (log (/ -1 x))))) |
(- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(log (/ 1 (sqrt -1))) |
(+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1)))) |
(+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (/ 1 (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))))) |
(+ (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))))))) |
(+ (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)))) |
(/ 1 (sqrt -1)) |
(+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1))) |
(+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1))) |
(+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x) |
(* 2 x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2))) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
| Outputs |
|---|
(* -1 (log (/ 1 (sqrt -1)))) |
(log.f32 (sqrt.f32 #s(literal -1 binary32))) |
(- (/ x (sqrt -1)) (log (/ 1 (sqrt -1)))) |
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1)))) |
(fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x (*.f32 x #s(literal 1/6 binary32)) #s(literal 1 binary32)) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(- (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1)))) |
(fma.f32 x (fma.f32 (/.f32 (*.f32 x x) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x (*.f32 x #s(literal 1/6 binary32)) #s(literal 1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(* -1 (+ (log 1/2) (log (/ 1 x)))) |
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) |
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))) |
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x)))) |
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (*.f32 x x))) (*.f32 x x)) (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))) |
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))) |
(* -1 (+ (log -2) (* -1 (log (/ -1 x))))) |
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -2 binary32))) |
(- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (log.f32 #s(literal -2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
(- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(+.f32 (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (log.f32 #s(literal -2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) |
(- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x))))) |
(+.f32 (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (log.f32 #s(literal -2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))))) |
(log (/ 1 (sqrt -1))) |
(neg.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32)))) |
(+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1)))) |
(neg.f32 (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))) |
(+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(neg.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x (*.f32 x #s(literal 1/6 binary32)) #s(literal 1 binary32)) (log.f32 (sqrt.f32 #s(literal -1 binary32))))) |
(+ (log (/ 1 (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.f32 x (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (*.f32 x x) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 x (*.f32 x #s(literal -3/40 binary32))))) (neg.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))))) |
(+ (log 1/2) (log (/ 1 x))) |
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)) |
(+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 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))))))) |
(-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 3/32 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (-.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (*.f32 x x))) (*.f32 x x)) (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))) |
(/ 1 (sqrt -1)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) |
(+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1))) |
(+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) x) |
(+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1))) |
(fma.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) x) |
(+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1))) |
(fma.f32 x (fma.f32 x (fma.f32 (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 x #s(literal -1/8 binary32)) (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) |
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))) x) |
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x) |
(/.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 6 binary32)))))) x) |
(* 2 x) |
(*.f32 x #s(literal 2 binary32)) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) |
(*.f32 x (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))) |
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2))) |
(*.f32 x (-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))))) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
| 1× | batch-egg-rewrite |
| 5 566× | lower-fma.f64 |
| 5 566× | lower-fma.f32 |
| 3 498× | lower-*.f64 |
| 3 498× | lower-*.f32 |
| 1 922× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 48 |
| 0 | 16 | 48 |
| 1 | 69 | 48 |
| 2 | 414 | 48 |
| 3 | 4184 | 48 |
| 0 | 8693 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) |
#s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)) |
(/.f32 #s(literal 1/2 binary32) x) |
| Outputs |
|---|
(neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(neg.f32 (log.f32 (neg.f32 (neg.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))))) |
(+.f32 (neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) #s(literal 0 binary32)) |
(+.f32 #s(literal 0 binary32) (neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))))) |
(+.f32 (log.f32 (pow.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)) #s(literal -1/2 binary32))) (log.f32 (pow.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)) #s(literal -1/2 binary32)))) |
(pow.f32 (/.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (neg.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) (neg.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) #s(literal -1 binary32)) |
(fma.f32 #s(literal -1 binary32) (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 0 binary32)) |
(fma.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal -1 binary32) #s(literal 0 binary32)) |
(fma.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32))) (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal -2 binary32)) #s(literal 0 binary32)) |
(fma.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) #s(literal 0 binary32)) |
(-.f32 #s(literal 0 binary32) (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(-.f32 #s(literal 0 binary32) (log.f32 (neg.f32 (neg.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32))) (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 1 binary32))) |
(-.f32 (/.f32 #s(literal 0 binary32) (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) (/.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (neg.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) (neg.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32))) (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32))) |
(/.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32))) (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)))) (neg.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))))) |
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))))))) |
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) #s(literal 2 binary32))) (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(*.f32 #s(literal -1 binary32) (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(*.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal -1 binary32)) |
(*.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32))) (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal -2 binary32))) |
(*.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))))) |
(log.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(neg.f32 (neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))))) |
(+.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 0 binary32)) |
(+.f32 #s(literal 0 binary32) (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(-.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 0 binary32)) |
(-.f32 #s(literal 0 binary32) (neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))))) |
(-.f32 (log.f32 (neg.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) (log.f32 #s(literal -1 binary32))) |
(/.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32))) (neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))))) |
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) |
(exp.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(pow.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(/.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32)) |
(/.f32 (neg.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x))) #s(literal -1 binary32)) |
#s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)) |
(*.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32)) |
(neg.f32 (/.f32 #s(literal -1/2 binary32) x)) |
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 x #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (log.f32 (*.f32 x #s(literal 2 binary32))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) |
(pow.f32 (*.f32 x #s(literal 2 binary32)) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (*.f32 x #s(literal 2 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (*.f32 x #s(literal 2 binary32)) (*.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) |
(pow.f32 (exp.f32 (log.f32 (*.f32 x #s(literal 2 binary32)))) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/2 binary32) x)) |
(/.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32))) |
(/.f32 #s(literal -1 binary32) (*.f32 x #s(literal -2 binary32))) |
(/.f32 #s(literal 1/2 binary32) x) |
(/.f32 #s(literal -1/2 binary32) (neg.f32 x)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x)) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) x)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) |
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x)) |
(*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)) |
(*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) |
(*.f32 (pow.f32 (*.f32 x #s(literal 2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (*.f32 x #s(literal 2 binary32)) #s(literal -1/2 binary32))) |
Compiled 1 453 to 331 computations (77.2% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 118 | 0 | 118 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 118 | 7 | 125 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 60.1% | (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
| ✓ | 96.8% | (neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
| ✓ | 99.6% | (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) |
| ✓ | 60.1% | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
| ✓ | 98.1% | (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
| ✓ | 96.4% | (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
| ✓ | 98.1% | (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
Compiled 171 to 89 computations (48% saved)
| Inputs |
|---|
(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32)))) |
(neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) |
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) |
#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) |
| Outputs |
|---|
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) |
3 calls:
| 5.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 4.0ms | x |
| 4.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 99.6% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 21 to 14 computations (33.3% saved)
| Inputs |
|---|
(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32)))) |
(neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| Outputs |
|---|
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
3 calls:
| 3.0ms | x |
| 3.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 3.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 98.1% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 21 to 14 computations (33.3% saved)
| Inputs |
|---|
(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32)))) |
(neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
| Outputs |
|---|
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
3 calls:
| 2.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 2.0ms | x |
| 2.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 98.1% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 21 to 14 computations (33.3% saved)
| Inputs |
|---|
(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32)))) |
(neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) |
| Outputs |
|---|
(neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
3 calls:
| 2.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 2.0ms | x |
| 2.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 1 | x |
| 96.8% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 96.8% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 21 to 14 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32)))) |
| Outputs |
|---|
(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
3 calls:
| 5.0ms | x |
| 2.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 1.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | x |
| 96.4% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 96.4% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
Compiled 21 to 14 computations (33.3% saved)
| 1× | egg-herbie |
| 10× | +-commutative_binary32 |
| 2× | *-commutative_binary32 |
| 2× | neg-sub0_binary32 |
| 2× | 1-exp_binary64 |
| 2× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 74 |
| 1 | 50 | 74 |
| 2 | 52 | 74 |
| 3 | 53 | 74 |
| 1× | saturated |
| Inputs |
|---|
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
(neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
| Outputs |
|---|
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) |
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))) |
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) |
(neg.f32 (log.f32 #s(approx (/ 1 (+ x (sqrt (+ (* x x) -1)))) (/.f32 #s(literal 1/2 binary32) x)))) |
(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) |
| 21 222× | lower-fma.f64 |
| 21 222× | lower-fma.f32 |
| 10 204× | lower-fma.f64 |
| 10 204× | lower-fma.f32 |
| 8 096× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 559 |
| 1 | 411 | 533 |
| 2 | 1143 | 526 |
| 3 | 3327 | 488 |
| 4 | 7966 | 488 |
| 0 | 8526 | 459 |
| 0 | 328 | 2988 |
| 1 | 922 | 2671 |
| 2 | 2917 | 2631 |
| 0 | 8273 | 2509 |
| 0 | 308 | 2504 |
| 1 | 851 | 2059 |
| 2 | 2660 | 2001 |
| 0 | 8326 | 1937 |
| 0 | 30 | 170 |
| 0 | 49 | 169 |
| 1 | 184 | 157 |
| 2 | 1359 | 157 |
| 0 | 8328 | 157 |
| 0 | 7 | 28 |
| 0 | 12 | 28 |
| 1 | 49 | 28 |
| 2 | 322 | 28 |
| 3 | 3626 | 28 |
| 0 | 8646 | 24 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 131 to 85 computations (35.1% saved)
Compiled 126 to 78 computations (38.1% saved)
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