
Time bar (total: 11.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 6 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 7 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 8 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 9 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 10 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 11 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 12 |
Compiled 17 to 12 computations (29.4% saved)
| 4.9s | 4 482× | 2 | valid |
| 917.0ms | 1 139× | 3 | valid |
| 472.0ms | 2 507× | 1 | valid |
| 11.0ms | 128× | 0 | valid |
ival-tan: 3.4s (57.5% of total)ival-sin: 1.7s (28.3% of total)adjust: 280.0ms (4.7% of total)ival-sub: 215.0ms (3.6% of total)const: 199.0ms (3.3% of total)ival-div: 95.0ms (1.6% of total)ival-<=: 49.0ms (0.8% of total)ival-and: 11.0ms (0.2% of total)ival-assert: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 170 | 0 | - | 0 | - | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 86 | 0 | - | 0 | - | (-.f64 eps (sin.f64 eps)) |
| 85 | 0 | - | 0 | - | (-.f64 eps (tan.f64 eps)) |
| 0 | 0 | - | 0 | - | (tan.f64 eps) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (sin.f64 eps) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) | u/u | 170 | 0 |
| ↳ | (-.f64 eps (sin.f64 eps)) | underflow | 170 | |
| ↳ | (-.f64 eps (tan.f64 eps)) | underflow | 170 | |
-.f64 | (-.f64 eps (sin.f64 eps)) | cancellation | 86 | 0 |
-.f64 | (-.f64 eps (tan.f64 eps)) | cancellation | 85 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 255 | 0 |
| - | 1 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 255 | 0 | 0 |
| - | 1 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 171 |
| 2 | 85 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 352.0ms | 304× | 2 | valid |
| 45.0ms | 64× | 3 | valid |
| 25.0ms | 142× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 79 to 28 computations (64.6% saved)
ival-tan: 255.0ms (63.6% of total)ival-sin: 110.0ms (27.4% of total)adjust: 16.0ms (4% of total)ival-sub: 13.0ms (3.2% of total)ival-div: 6.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 29 | 23 |
| 2 | 78 | 18 |
| 3 | 239 | 18 |
| 4 | 501 | 18 |
| 5 | 688 | 18 |
| 6 | 705 | 18 |
| 7 | 743 | 18 |
| 8 | 772 | 18 |
| 0 | 6 | 9 |
| 0 | 11 | 9 |
| 1 | 18 | 9 |
| 2 | 28 | 9 |
| 3 | 45 | 9 |
| 4 | 79 | 9 |
| 5 | 151 | 9 |
| 6 | 326 | 9 |
| 7 | 624 | 9 |
| 8 | 928 | 9 |
| 9 | 943 | 9 |
| 10 | 944 | 9 |
| 0 | 944 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Outputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(abs eps)
Compiled 9 to 6 computations (33.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 0.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 eps (tan.f64 eps)) | |
| cost-diff | 0 | (sin.f64 eps) | |
| cost-diff | 0 | (-.f64 eps (sin.f64 eps)) | |
| cost-diff | 0 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 22 |
| 0 | 11 | 22 |
| 1 | 18 | 22 |
| 2 | 28 | 22 |
| 3 | 45 | 22 |
| 4 | 79 | 22 |
| 5 | 151 | 22 |
| 6 | 326 | 22 |
| 7 | 624 | 22 |
| 8 | 928 | 22 |
| 9 | 943 | 22 |
| 10 | 944 | 22 |
| 0 | 944 | 22 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
| Outputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 eps) | |
| accuracy | 19.481545124829044 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 19.493196356698537 | (-.f64 eps (tan.f64 eps)) | |
| accuracy | 42.22751543853662 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 179.0ms | 152× | 2 | valid |
| 23.0ms | 32× | 3 | valid |
| 14.0ms | 71× | 1 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 46 to 14 computations (69.6% saved)
ival-tan: 132.0ms (64.2% of total)ival-sin: 56.0ms (27.2% of total)adjust: 8.0ms (3.9% of total)ival-sub: 7.0ms (3.4% of total)ival-div: 3.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
| Outputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(sin eps) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps))) |
| 1.0ms | eps | @ | -inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps))) |
| 1.0ms | eps | @ | 0 | ((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 458 |
| 1 | 422 | 429 |
| 2 | 1321 | 404 |
| 3 | 5649 | 381 |
| 0 | 8475 | 355 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(sin eps) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* 1/6 (pow eps 3)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* -1/3 (pow eps 3)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(-.f64 (+.f64 (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps) eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(-.f64 eps (sin.f64 eps)) |
(sin eps) |
(sin.f64 eps) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(-.f64 eps (sin.f64 eps)) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 11 | 19 |
| 1 | 51 | 19 |
| 2 | 408 | 19 |
| 3 | 5947 | 19 |
| 0 | 8258 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (sin.f64 eps))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (-.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps))) (neg.f64 (+.f64 (tan.f64 eps) eps))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps))) |
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) #s(literal 1 binary64)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (sin.f64 eps) eps))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps)) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
(*.f64 (pow.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 eps (sin.f64 eps)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (-.f64 eps (sin.f64 eps)))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -2 binary64))) (pow.f64 (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
(*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (-.f64 eps (sin.f64 eps))) |
(*.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))) |
(*.f64 (+.f64 (sin.f64 eps) eps) (/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (-.f64 eps (tan.f64 eps)))) |
(*.f64 (+.f64 (tan.f64 eps) eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps))) |
(*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (-.f64 eps (tan.f64 eps)))) |
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) |
(*.f64 (-.f64 (sin.f64 eps) eps) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)) |
(*.f64 (-.f64 eps (sin.f64 eps)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (fma.f64 (-.f64 eps (tan.f64 eps)) eps (*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) |
(/.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) |
(/.f64 (/.f64 (-.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (-.f64 eps (tan.f64 eps))) |
(/.f64 (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (+.f64 (sin.f64 eps) eps)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) |
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (neg.f64 (+.f64 (sin.f64 eps) eps))) |
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(/.f64 (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) (neg.f64 (+.f64 (sin.f64 eps) eps))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps))) |
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)))) |
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (-.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64)))) |
(/.f64 (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (sin.f64 eps) eps))) (neg.f64 (+.f64 (sin.f64 eps) eps))) |
(/.f64 (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
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(/.f64 (-.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (tan.f64 eps) #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (+.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (*.f64 (+.f64 (tan.f64 eps) eps) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 eps) eps)))) |
(/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) (neg.f64 (+.f64 (tan.f64 eps) eps))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps)))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (tan.f64 eps) (tan.f64 eps) (-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (tan.f64 eps)) eps)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
(/.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(/.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64)) |
(neg.f64 (-.f64 (tan.f64 eps) eps)) |
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (-.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) |
(fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) |
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 #s(literal -1 binary64) (tan.f64 eps) eps) |
(fma.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) eps) |
(fma.f64 (*.f64 eps eps) (/.f64 eps (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps eps) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) |
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps) |
(fma.f64 (sin.f64 eps) (neg.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64))) eps) |
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) |
(fma.f64 eps (/.f64 (*.f64 eps eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) |
(-.f64 (+.f64 eps #s(literal 0 binary64)) (tan.f64 eps)) |
(-.f64 (/.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 1 binary64))) |
(-.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (tan.f64 eps) #s(literal 1 binary64))) |
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (tan.f64 eps) eps)) |
(-.f64 eps (tan.f64 eps)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (tan.f64 eps))) |
(+.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(+.f64 (neg.f64 (tan.f64 eps)) eps) |
(+.f64 eps (neg.f64 (tan.f64 eps))) |
Compiled 11 466 to 1 227 computations (89.3% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 435 | 8 | 443 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 435 | 9 | 444 |
| Status | Accuracy | Program |
|---|---|---|
| 0.4% | (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64))) | |
| ▶ | 0.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
| ▶ | 0.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) |
| ✓ | 0.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 0.4% | (/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 eps (sin.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) | |
| ▶ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ▶ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) | |
| ▶ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 283 to 180 computations (36.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 eps) | |
| cost-diff | 0 | (-.f64 eps (sin.f64 eps)) | |
| cost-diff | 0 | (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) | |
| cost-diff | 14080 | (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) | |
| cost-diff | 0 | (-.f64 eps (sin.f64 eps)) | |
| cost-diff | 0 | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) | |
| cost-diff | 192 | (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) | |
| cost-diff | 5888 | (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 225 |
| 0 | 59 | 225 |
| 1 | 108 | 222 |
| 2 | 195 | 222 |
| 3 | 454 | 220 |
| 4 | 1173 | 202 |
| 5 | 3241 | 202 |
| 6 | 7995 | 202 |
| 0 | 8001 | 202 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(literal -27/2800 binary64) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) |
(pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) |
(neg.f64 (cos.f64 eps)) |
(cos.f64 eps) |
#s(literal -1 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) |
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
(*.f64 eps eps) |
(pow.f64 (tan.f64 eps) #s(literal 2 binary64)) |
(tan.f64 eps) |
#s(literal 2 binary64) |
(+.f64 (tan.f64 eps) eps) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(literal -27/2800 binary64) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(neg.f64 (cos.f64 eps)) |
(cos.f64 eps) |
#s(literal -1 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) |
(-.f64 eps (tan.f64 eps)) |
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
(*.f64 eps eps) |
(pow.f64 (tan.f64 eps) #s(literal 2 binary64)) |
(tan.f64 eps) |
#s(literal 2 binary64) |
(+.f64 (tan.f64 eps) eps) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.429906820762717 | (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) | |
| accuracy | 13.757852633407076 | (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) | |
| accuracy | 19.481545124829044 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 42.22751543853662 | (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) | |
| accuracy | 0 | (cos.f64 eps) | |
| accuracy | 19.481545124829044 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 19.49938761646698 | (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) | |
| accuracy | 42.22751543853662 | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) | |
| accuracy | 0 | (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| accuracy | 0 | (*.f64 eps eps) | |
| accuracy | 0.11370198700967284 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) | |
| accuracy | 0.18966300750205922 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| accuracy | 0 | (*.f64 eps eps) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) | |
| accuracy | 0.07079204018597479 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| 290.0ms | 152× | 2 | valid |
| 50.0ms | 32× | 3 | valid |
| 43.0ms | 71× | 1 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 432 to 70 computations (83.8% saved)
ival-tan: 130.0ms (37.3% of total)ival-sin: 57.0ms (16.3% of total)adjust: 34.0ms (9.7% of total)ival-cos: 31.0ms (8.9% of total)ival-mult: 18.0ms (5.2% of total)ival-add: 17.0ms (4.9% of total)ival-pow: 16.0ms (4.6% of total)const: 15.0ms (4.3% of total)ival-div: 12.0ms (3.4% of total)ival-sub: 10.0ms (2.9% of total)ival-pow2: 6.0ms (1.7% of total)ival-neg: 3.0ms (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 |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(*.f64 eps eps) |
(pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
(-.f64 eps (sin.f64 eps)) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) |
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) |
(sin.f64 eps) |
(cos.f64 eps) |
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
| Outputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
9/40 |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
-27/2800 |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(pow eps 2) |
-1 |
(- (* -1/2 (pow eps 2)) 1) |
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
1 |
(+ 1 (* -1/2 (pow eps 2))) |
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) |
(* -2/3 (pow eps 4)) |
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3)) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* 27/112000 (pow eps 6)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(* 27/112000 (pow eps 4)) |
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* 27/112000 (pow eps 2)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* -27/2800 (pow eps 4)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(* -27/2800 (pow eps 2)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(/ -1 (cos eps)) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2))))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(sin eps) |
(cos eps) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* -1 (/ (+ (* -1 (- (/ (pow (sin eps) 2) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps) (pow (neg (cos eps)) -1) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps) (/ (- eps (sin eps)) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps)) (- eps (sin eps)) (/ (- (* eps eps) (pow (tan eps) 2)) (+ (tan eps) eps)) (/ (- eps (sin eps)) (/ (- (* eps eps) (pow (tan eps) 2)) (+ (tan eps) eps))) (sin eps) (cos eps) (- (* eps eps) (pow (tan eps) 2))) |
| 4.0ms | eps | @ | -inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps) (pow (neg (cos eps)) -1) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps) (/ (- eps (sin eps)) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps)) (- eps (sin eps)) (/ (- (* eps eps) (pow (tan eps) 2)) (+ (tan eps) eps)) (/ (- eps (sin eps)) (/ (- (* eps eps) (pow (tan eps) 2)) (+ (tan eps) eps))) (sin eps) (cos eps) (- (* eps eps) (pow (tan eps) 2))) |
| 2.0ms | eps | @ | 0 | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps) (pow (neg (cos eps)) -1) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps) (/ (- eps (sin eps)) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps)) (- eps (sin eps)) (/ (- (* eps eps) (pow (tan eps) 2)) (+ (tan eps) eps)) (/ (- eps (sin eps)) (/ (- (* eps eps) (pow (tan eps) 2)) (+ (tan eps) eps))) (sin eps) (cos eps) (- (* eps eps) (pow (tan eps) 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 288 | 1136 |
| 1 | 791 | 1071 |
| 2 | 2453 | 950 |
| 3 | 7853 | 950 |
| 0 | 8395 | 901 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
9/40 |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
-27/2800 |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(pow eps 2) |
-1 |
(- (* -1/2 (pow eps 2)) 1) |
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
1 |
(+ 1 (* -1/2 (pow eps 2))) |
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) |
(* -2/3 (pow eps 4)) |
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3)) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* 27/112000 (pow eps 6)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(* 27/112000 (pow eps 4)) |
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* 27/112000 (pow eps 2)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* -27/2800 (pow eps 4)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(* -27/2800 (pow eps 2)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(/ -1 (cos eps)) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2))))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(sin eps) |
(cos eps) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* -1 (/ (+ (* -1 (- (/ (pow (sin eps) 2) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
9/40 |
#s(literal 9/40 binary64) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
-27/2800 |
#s(literal -27/2800 binary64) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(pow eps 2) |
(*.f64 eps eps) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 (pow eps 2)) 1) |
(fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1) |
(fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 eps eps) #s(literal -5/24 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) |
(* -1/3 (pow eps 3)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* 1/6 (pow eps 3)) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow eps 2))) |
(fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) |
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) |
(* -2/3 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/3 binary64)) |
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3)) |
(*.f64 (fma.f64 #s(literal -17/45 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -62/315 binary64) (*.f64 eps eps) #s(literal -17/45 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1382/14175 binary64) (*.f64 eps eps) #s(literal -62/315 binary64)) (*.f64 eps eps) #s(literal -17/45 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) |
(* 27/112000 (pow eps 6)) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64))) |
(* 27/112000 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 27/112000 binary64)) |
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64))) |
(* 27/112000 (pow eps 2)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps) |
(* -27/2800 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64))) |
(* -27/2800 (pow eps 2)) |
(*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps) |
(/ -1 (cos eps)) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 (sin.f64 eps) (neg.f64 eps)) eps) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2))))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))))) |
(sin eps) |
(sin.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (*.f64 eps eps)) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) eps)) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 (sin.f64 eps) (neg.f64 eps)) eps) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) eps)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* -1 (/ (+ (* -1 (- (/ (pow (sin eps) 2) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) eps)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 186 |
| 0 | 59 | 178 |
| 1 | 260 | 157 |
| 2 | 1948 | 157 |
| 0 | 8443 | 157 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(*.f64 eps eps) |
(pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
(-.f64 eps (sin.f64 eps)) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) |
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) |
(sin.f64 eps) |
(cos.f64 eps) |
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64)))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64)))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)))) |
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(*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 eps (tan.f64 eps))) |
(pow.f64 (/.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (*.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (neg.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (-.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))))) |
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (tan.f64 eps)) (tan.f64 eps) (*.f64 eps eps)) |
(fma.f64 (tan.f64 eps) (neg.f64 (tan.f64 eps)) (*.f64 eps eps)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) |
(fma.f64 eps eps (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (-.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))))) |
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
(+.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 eps eps)) |
(+.f64 (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
Compiled 22 216 to 2 372 computations (89.3% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 653 | 2 | 655 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 656 | 8 | 664 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 0.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
| ✓ | 0.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) |
| ✓ | 0.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ▶ | 0.4% | (/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
| ✓ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ▶ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ✓ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 132 to 83 computations (37.1% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 eps) | |
| cost-diff | 0 | (-.f64 eps (sin.f64 eps)) | |
| cost-diff | 0 | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) | |
| cost-diff | 0 | (sin.f64 eps) | |
| cost-diff | 0 | (-.f64 eps (sin.f64 eps)) | |
| cost-diff | 0 | (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) | |
| cost-diff | 13696 | (/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 119 |
| 0 | 41 | 119 |
| 1 | 72 | 119 |
| 2 | 118 | 119 |
| 3 | 245 | 110 |
| 4 | 539 | 108 |
| 5 | 1224 | 108 |
| 6 | 4787 | 108 |
| 0 | 8152 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(+.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
(*.f64 eps eps) |
(pow.f64 (tan.f64 eps) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
#s(literal -1 binary64) |
(cos.f64 eps) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) |
(*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 eps (sin.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(+.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
(*.f64 eps eps) |
(pow.f64 (tan.f64 eps) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
#s(literal -1 binary64) |
(cos.f64 eps) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 #s(literal -1 binary64) (cos.f64 eps)) | |
| accuracy | 19.481545124829044 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 19.49938761646698 | (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) | |
| accuracy | 42.22751543853662 | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) | |
| accuracy | 0.0703125 | (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) | |
| accuracy | 13.757852633407076 | (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) | |
| accuracy | 19.481545124829044 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 48.493358861795976 | (/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) | |
| accuracy | 0 | (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (*.f64 eps eps) | |
| accuracy | 0.15124849675060428 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| 249.0ms | 152× | 2 | valid |
| 39.0ms | 32× | 3 | valid |
| 29.0ms | 71× | 1 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 236 to 50 computations (78.8% saved)
ival-tan: 128.0ms (43.8% of total)ival-sin: 57.0ms (19.5% of total)ival-cos: 30.0ms (10.3% of total)adjust: 22.0ms (7.5% of total)ival-div: 13.0ms (4.5% of total)ival-mult: 12.0ms (4.1% of total)ival-sub: 10.0ms (3.4% of total)ival-add: 8.0ms (2.7% of total)ival-pow2: 7.0ms (2.4% of total)const: 4.0ms (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 |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
| Outputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(pow eps 2) |
(* 1/3 (pow eps 4)) |
(* (pow eps 4) (+ 1/3 (* 7/180 (pow eps 2)))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/180 (* 5/252 (pow eps 2)))))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/180 (* (pow eps 2) (+ 5/252 (* 7207/907200 (pow eps 2)))))))) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(* -2/3 (pow eps 4)) |
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3)) |
-1 |
(- (* -1/2 (pow eps 2)) 1) |
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* 9/40 (pow eps 2)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2))))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps))))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(sin eps) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(/ -1 (cos eps)) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* -1 (/ (+ (* -1 (- (/ (pow (sin eps) 2) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | -inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (* (- eps (sin eps)) (+ (tan eps) eps)) (- (* eps eps) (pow (tan eps) 2))) (* (- eps (sin eps)) (+ (tan eps) eps)) (- eps (sin eps)) (sin eps) (+ (* (/ -1 (cos eps)) (sin eps)) eps) (/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (- (* eps eps) (pow (tan eps) 2)) (/ -1 (cos eps))) |
| 1.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (* (- eps (sin eps)) (+ (tan eps) eps)) (- (* eps eps) (pow (tan eps) 2))) (* (- eps (sin eps)) (+ (tan eps) eps)) (- eps (sin eps)) (sin eps) (+ (* (/ -1 (cos eps)) (sin eps)) eps) (/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (- (* eps eps) (pow (tan eps) 2)) (/ -1 (cos eps))) |
| 1.0ms | eps | @ | 0 | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (* (- eps (sin eps)) (+ (tan eps) eps)) (- (* eps eps) (pow (tan eps) 2))) (* (- eps (sin eps)) (+ (tan eps) eps)) (- eps (sin eps)) (sin eps) (+ (* (/ -1 (cos eps)) (sin eps)) eps) (/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (- (* eps eps) (pow (tan eps) 2)) (/ -1 (cos eps))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 275 | 1067 |
| 1 | 794 | 993 |
| 2 | 2520 | 860 |
| 0 | 8066 | 812 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(pow eps 2) |
(* 1/3 (pow eps 4)) |
(* (pow eps 4) (+ 1/3 (* 7/180 (pow eps 2)))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/180 (* 5/252 (pow eps 2)))))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/180 (* (pow eps 2) (+ 5/252 (* 7207/907200 (pow eps 2)))))))) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(* -2/3 (pow eps 4)) |
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3)) |
-1 |
(- (* -1/2 (pow eps 2)) 1) |
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* 9/40 (pow eps 2)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2))))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps))))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(sin eps) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(/ -1 (cos eps)) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* -1 (/ (+ (* -1 (- (/ (pow (sin eps) 2) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(pow eps 2) |
(*.f64 eps eps) |
(* 1/3 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/3 binary64)) |
(* (pow eps 4) (+ 1/3 (* 7/180 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal 7/180 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/180 (* 5/252 (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5/252 binary64) (*.f64 eps eps) #s(literal 7/180 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/180 (* (pow eps 2) (+ 5/252 (* 7207/907200 (pow eps 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 7207/907200 binary64) (*.f64 eps eps) #s(literal 5/252 binary64)) (*.f64 eps eps) #s(literal 7/180 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* 1/6 (pow eps 3)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* -1/3 (pow eps 3)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* -2/3 (pow eps 4)) |
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3)) |
(*.f64 (fma.f64 #s(literal -17/45 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -62/315 binary64) (*.f64 eps eps) #s(literal -17/45 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1382/14175 binary64) (*.f64 eps eps) #s(literal -62/315 binary64)) (*.f64 eps eps) #s(literal -17/45 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 (pow eps 2)) 1) |
(fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1) |
(fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 eps eps) #s(literal -5/24 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) |
(* 9/40 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps) |
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2))))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))) |
(*.f64 eps (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps) eps eps)) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps)) (*.f64 eps eps)) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(sin eps) |
(sin.f64 eps) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 (sin.f64 eps) (neg.f64 eps)) eps) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (*.f64 eps eps)) |
(/ -1 (cos eps)) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) eps)) |
(+ 1 (* -1 (/ (- (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* -1 (/ (+ (* -1 (- (/ (pow (sin eps) 2) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) eps)) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps)) (*.f64 eps eps)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 (sin.f64 eps) (neg.f64 eps)) eps) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) eps)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 91 |
| 0 | 41 | 96 |
| 1 | 172 | 74 |
| 2 | 1353 | 74 |
| 0 | 8610 | 74 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64))))))) |
(*.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))))) |
(*.f64 (fma.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))))) |
(/.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 eps eps) #s(literal -9/80 binary64))))) |
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(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(neg.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 eps) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 eps))) #s(literal -1 binary64))) |
Compiled 25 210 to 2 363 computations (90.6% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 743 | 2 | 745 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 1 | 4 | 5 |
| Total | 745 | 8 | 753 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 3.5% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (neg.f64 (tan.f64 eps)))) |
| ✓ | 0.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
| ✓ | 0.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ▶ | 0.4% | (/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
| ✓ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ✓ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 161 to 88 computations (45.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 eps (sin.f64 eps)) | |
| cost-diff | 0 | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (neg.f64 (tan.f64 eps)))) | |
| cost-diff | 1600 | (fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (neg.f64 (tan.f64 eps))) | |
| cost-diff | 5824 | (pow.f64 eps #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) | |
| cost-diff | 384 | (/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) | |
| cost-diff | 13568 | (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) | |
| cost-diff | 27136 | (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 235 |
| 0 | 44 | 226 |
| 1 | 97 | 198 |
| 2 | 250 | 170 |
| 3 | 825 | 166 |
| 4 | 3931 | 166 |
| 0 | 8100 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(+.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
(pow.f64 (tan.f64 eps) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) |
(pow.f64 (tan.f64 eps) #s(literal 4 binary64)) |
(*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (neg.f64 (tan.f64 eps)))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (neg.f64 (tan.f64 eps))) |
(pow.f64 eps #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 (tan.f64 eps)) |
(tan.f64 eps) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 eps (sin.f64 eps))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) |
(*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 eps (sin.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(+.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
(pow.f64 (tan.f64 eps) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(pow.f64 (tan.f64 eps) #s(literal 4 binary64)) |
(*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (neg.f64 (tan.f64 eps)))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (neg.f64 (tan.f64 eps))) |
(-.f64 eps (tan.f64 eps)) |
(pow.f64 eps #s(literal 1/2 binary64)) |
(sqrt.f64 eps) |
#s(literal 1/2 binary64) |
(neg.f64 (tan.f64 eps)) |
(tan.f64 eps) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 (tan.f64 eps)) | |
| accuracy | 19.481545124829044 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 42.22751543853662 | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (neg.f64 (tan.f64 eps)))) | |
| accuracy | 58.733187936423896 | (fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (neg.f64 (tan.f64 eps))) | |
| accuracy | 6.0422951415451625 | (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) | |
| accuracy | 19.481545124829044 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 48.493358861795976 | (/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) | |
| accuracy | 54.78925823172418 | (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
| 250.0ms | 152× | 2 | valid |
| 43.0ms | 32× | 3 | valid |
| 31.0ms | 71× | 1 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 489 to 50 computations (89.8% saved)
ival-tan: 136.0ms (45.6% of total)ival-sin: 58.0ms (19.5% of total)adjust: 34.0ms (11.4% of total)ival-mult: 20.0ms (6.7% of total)ival-pow: 11.0ms (3.7% of total)ival-div: 9.0ms (3% of total)ival-add: 9.0ms (3% of total)ival-pow2: 6.0ms (2% of total)ival-sub: 6.0ms (2% of total)ival-sqrt: 5.0ms (1.7% of total)ival-neg: 3.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) |
(pow.f64 eps #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (neg.f64 (tan.f64 eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (neg.f64 (tan.f64 eps)))) |
(-.f64 eps (sin.f64 eps)) |
(neg.f64 (tan.f64 eps)) |
| Outputs |
|---|
(* -2/3 (pow eps 4)) |
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3)) |
(* -8/3 (pow eps 8)) |
(* (pow eps 8) (- (* -148/45 (pow eps 2)) 8/3)) |
(* (pow eps 8) (- (* (pow eps 2) (- (* -976/315 (pow eps 2)) 148/45)) 8/3)) |
(* (pow eps 8) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -88/35 (pow eps 2)) 976/315)) 148/45)) 8/3)) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* 1/3 (pow eps 4)) |
(* (pow eps 4) (+ 1/3 (* 7/180 (pow eps 2)))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/180 (* 5/252 (pow eps 2)))))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/180 (* (pow eps 2) (+ 5/252 (* 7207/907200 (pow eps 2)))))))) |
(sqrt eps) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(* -1 eps) |
(* eps (- (* -1/3 (pow eps 2)) 1)) |
(* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1)) |
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) 1)) |
(pow eps 2) |
(* (pow eps 2) (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(* (pow eps 2) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 4) (pow (cos eps) 4)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (+ (* 2 (/ (* (pow (sin eps) 2) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 4) (pow (cos eps) 2)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (pow (sin eps) 4) (* (pow eps 4) (pow (cos eps) 4))))))) |
(* (pow eps 2) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 4) (pow (cos eps) 4)))) (+ (* -1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (+ (* 2 (/ (* (pow (sin eps) 2) (- (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (+ (* 2 (/ (* (pow (sin eps) 2) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (/ (pow (sin eps) 4) (pow (cos eps) 4))))) (* (pow eps 6) (pow (cos eps) 2)))) (+ (* 2 (/ (* (pow (sin eps) 2) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 4) (pow (cos eps) 2)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (* (pow (sin eps) 4) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 6) (pow (cos eps) 4))) (/ (pow (sin eps) 4) (* (pow eps 4) (pow (cos eps) 4))))))))) |
(pow eps 6) |
(* (pow eps 6) (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(* (pow eps 6) (+ 1 (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 4) (pow (cos eps) 4)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(* (pow eps 6) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 4) (* (pow eps 4) (pow (cos eps) 4))))) |
1 |
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) |
(- (+ 1 (+ (* -2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) (* eps (cos eps))))))))) (+ (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps))))))) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(* -1 (/ (sin eps) (cos eps))) |
(+ 1 (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (+ (* -1 (- (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)))) |
(* -1 (* (sqrt eps) (pow (sqrt -1) 2))) |
(* -1 (* eps (pow (sqrt -1) 2))) |
(* -1 (* eps (+ (/ (sin eps) (* eps (cos eps))) (pow (sqrt -1) 2)))) |
(/ -1 (pow (sqrt -1) 2)) |
(- (/ (sin eps) (* eps (pow (sqrt -1) 2))) (+ (* -1 (/ (sin eps) (* eps (* (cos eps) (pow (sqrt -1) 4))))) (/ 1 (pow (sqrt -1) 2)))) |
(- (* -1 (/ (+ (* -1 (- (/ (sin eps) (pow (sqrt -1) 2)) (* -1 (/ (sin eps) (* (cos eps) (pow (sqrt -1) 4)))))) (/ (* (sin eps) (- (/ (sin eps) (pow (sqrt -1) 2)) (* -1 (/ (sin eps) (* (cos eps) (pow (sqrt -1) 4)))))) (* eps (* (cos eps) (pow (sqrt -1) 2))))) eps)) (/ 1 (pow (sqrt -1) 2))) |
(- (* -1 (/ (+ (* -1 (- (/ (sin eps) (pow (sqrt -1) 2)) (* -1 (/ (sin eps) (* (cos eps) (pow (sqrt -1) 4)))))) (* -1 (/ (+ (* -1 (/ (* (sin eps) (- (/ (sin eps) (pow (sqrt -1) 2)) (* -1 (/ (sin eps) (* (cos eps) (pow (sqrt -1) 4)))))) (* (cos eps) (pow (sqrt -1) 2)))) (/ (* (pow (sin eps) 2) (- (/ (sin eps) (pow (sqrt -1) 2)) (* -1 (/ (sin eps) (* (cos eps) (pow (sqrt -1) 4)))))) (* eps (* (pow (cos eps) 2) (pow (sqrt -1) 4))))) eps))) eps)) (/ 1 (pow (sqrt -1) 2))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | eps | @ | -inf | ((/ (- (* (pow eps 4) (+ (* eps eps) (pow (tan eps) 2))) (* (+ (* eps eps) (pow (tan eps) 2)) (pow (tan eps) 4))) (* (+ (* eps eps) (pow (tan eps) 2)) (+ (* eps eps) (pow (tan eps) 2)))) (- (* (pow eps 4) (+ (* eps eps) (pow (tan eps) 2))) (* (+ (* eps eps) (pow (tan eps) 2)) (pow (tan eps) 4))) (/ (* (- eps (sin eps)) (+ (tan eps) eps)) (/ (- (* (pow eps 4) (+ (* eps eps) (pow (tan eps) 2))) (* (+ (* eps eps) (pow (tan eps) 2)) (pow (tan eps) 4))) (* (+ (* eps eps) (pow (tan eps) 2)) (+ (* eps eps) (pow (tan eps) 2))))) (* (- eps (sin eps)) (+ (tan eps) eps)) (pow eps 1/2) (+ (* (pow eps 1/2) (pow eps 1/2)) (neg (tan eps))) (/ (- eps (sin eps)) (+ (* (pow eps 1/2) (pow eps 1/2)) (neg (tan eps)))) (- eps (sin eps)) (neg (tan eps))) |
| 4.0ms | eps | @ | inf | ((/ (- (* (pow eps 4) (+ (* eps eps) (pow (tan eps) 2))) (* (+ (* eps eps) (pow (tan eps) 2)) (pow (tan eps) 4))) (* (+ (* eps eps) (pow (tan eps) 2)) (+ (* eps eps) (pow (tan eps) 2)))) (- (* (pow eps 4) (+ (* eps eps) (pow (tan eps) 2))) (* (+ (* eps eps) (pow (tan eps) 2)) (pow (tan eps) 4))) (/ (* (- eps (sin eps)) (+ (tan eps) eps)) (/ (- (* (pow eps 4) (+ (* eps eps) (pow (tan eps) 2))) (* (+ (* eps eps) (pow (tan eps) 2)) (pow (tan eps) 4))) (* (+ (* eps eps) (pow (tan eps) 2)) (+ (* eps eps) (pow (tan eps) 2))))) (* (- eps (sin eps)) (+ (tan eps) eps)) (pow eps 1/2) (+ (* (pow eps 1/2) (pow eps 1/2)) (neg (tan eps))) (/ (- eps (sin eps)) (+ (* (pow eps 1/2) (pow eps 1/2)) (neg (tan eps)))) (- eps (sin eps)) (neg (tan eps))) |
| 4.0ms | eps | @ | 0 | ((/ (- (* (pow eps 4) (+ (* eps eps) (pow (tan eps) 2))) (* (+ (* eps eps) (pow (tan eps) 2)) (pow (tan eps) 4))) (* (+ (* eps eps) (pow (tan eps) 2)) (+ (* eps eps) (pow (tan eps) 2)))) (- (* (pow eps 4) (+ (* eps eps) (pow (tan eps) 2))) (* (+ (* eps eps) (pow (tan eps) 2)) (pow (tan eps) 4))) (/ (* (- eps (sin eps)) (+ (tan eps) eps)) (/ (- (* (pow eps 4) (+ (* eps eps) (pow (tan eps) 2))) (* (+ (* eps eps) (pow (tan eps) 2)) (pow (tan eps) 4))) (* (+ (* eps eps) (pow (tan eps) 2)) (+ (* eps eps) (pow (tan eps) 2))))) (* (- eps (sin eps)) (+ (tan eps) eps)) (pow eps 1/2) (+ (* (pow eps 1/2) (pow eps 1/2)) (neg (tan eps))) (/ (- eps (sin eps)) (+ (* (pow eps 1/2) (pow eps 1/2)) (neg (tan eps)))) (- eps (sin eps)) (neg (tan eps))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 357 | 1620 |
| 1 | 1035 | 1463 |
| 2 | 3678 | 1428 |
| 0 | 8196 | 1371 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2/3 (pow eps 4)) |
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3)) |
(* -8/3 (pow eps 8)) |
(* (pow eps 8) (- (* -148/45 (pow eps 2)) 8/3)) |
(* (pow eps 8) (- (* (pow eps 2) (- (* -976/315 (pow eps 2)) 148/45)) 8/3)) |
(* (pow eps 8) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -88/35 (pow eps 2)) 976/315)) 148/45)) 8/3)) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* 1/3 (pow eps 4)) |
(* (pow eps 4) (+ 1/3 (* 7/180 (pow eps 2)))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/180 (* 5/252 (pow eps 2)))))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/180 (* (pow eps 2) (+ 5/252 (* 7207/907200 (pow eps 2)))))))) |
(sqrt eps) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(* -1 eps) |
(* eps (- (* -1/3 (pow eps 2)) 1)) |
(* eps (- (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) 1)) |
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) 1)) |
(pow eps 2) |
(* (pow eps 2) (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(* (pow eps 2) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 4) (pow (cos eps) 4)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (+ (* 2 (/ (* (pow (sin eps) 2) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 4) (pow (cos eps) 2)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (pow (sin eps) 4) (* (pow eps 4) (pow (cos eps) 4))))))) |
(* (pow eps 2) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 4) (pow (cos eps) 4)))) (+ (* -1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (+ (* 2 (/ (* (pow (sin eps) 2) (- (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (+ (* 2 (/ (* (pow (sin eps) 2) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (/ (pow (sin eps) 4) (pow (cos eps) 4))))) (* (pow eps 6) (pow (cos eps) 2)))) (+ (* 2 (/ (* (pow (sin eps) 2) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 4) (pow (cos eps) 2)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (* (pow (sin eps) 4) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 6) (pow (cos eps) 4))) (/ (pow (sin eps) 4) (* (pow eps 4) (pow (cos eps) 4))))))))) |
(pow eps 6) |
(* (pow eps 6) (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(* (pow eps 6) (+ 1 (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 4) (pow (cos eps) 4)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(* (pow eps 6) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 4) (* (pow eps 4) (pow (cos eps) 4))))) |
1 |
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) |
(- (+ 1 (+ (* -2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) (* eps (cos eps))))))))) (+ (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps))))))) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(* -1 (/ (sin eps) (cos eps))) |
(+ 1 (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (+ (* -1 (- (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)))) |
(* -1 (* (sqrt eps) (pow (sqrt -1) 2))) |
(* -1 (* eps (pow (sqrt -1) 2))) |
(* -1 (* eps (+ (/ (sin eps) (* eps (cos eps))) (pow (sqrt -1) 2)))) |
(/ -1 (pow (sqrt -1) 2)) |
(- (/ (sin eps) (* eps (pow (sqrt -1) 2))) (+ (* -1 (/ (sin eps) (* eps (* (cos eps) (pow (sqrt -1) 4))))) (/ 1 (pow (sqrt -1) 2)))) |
(- (* -1 (/ (+ (* -1 (- (/ (sin eps) (pow (sqrt -1) 2)) (* -1 (/ (sin eps) (* (cos eps) (pow (sqrt -1) 4)))))) (/ (* (sin eps) (- (/ (sin eps) (pow (sqrt -1) 2)) (* -1 (/ (sin eps) (* (cos eps) (pow (sqrt -1) 4)))))) (* eps (* (cos eps) (pow (sqrt -1) 2))))) eps)) (/ 1 (pow (sqrt -1) 2))) |
(- (* -1 (/ (+ (* -1 (- (/ (sin eps) (pow (sqrt -1) 2)) (* -1 (/ (sin eps) (* (cos eps) (pow (sqrt -1) 4)))))) (* -1 (/ (+ (* -1 (/ (* (sin eps) (- (/ (sin eps) (pow (sqrt -1) 2)) (* -1 (/ (sin eps) (* (cos eps) (pow (sqrt -1) 4)))))) (* (cos eps) (pow (sqrt -1) 2)))) (/ (* (pow (sin eps) 2) (- (/ (sin eps) (pow (sqrt -1) 2)) (* -1 (/ (sin eps) (* (cos eps) (pow (sqrt -1) 4)))))) (* eps (* (pow (cos eps) 2) (pow (sqrt -1) 4))))) eps))) eps)) (/ 1 (pow (sqrt -1) 2))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
| Outputs |
|---|
(* -2/3 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -2/3 binary64)) |
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3)) |
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -17/45 binary64) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -62/315 binary64) (*.f64 eps eps) #s(literal -17/45 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1382/14175 binary64) (*.f64 eps eps) #s(literal -62/315 binary64)) (*.f64 eps eps) #s(literal -17/45 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* -8/3 (pow eps 8)) |
(*.f64 (pow.f64 eps #s(literal 8 binary64)) #s(literal -8/3 binary64)) |
(* (pow eps 8) (- (* -148/45 (pow eps 2)) 8/3)) |
(*.f64 (fma.f64 #s(literal -148/45 binary64) (*.f64 eps eps) #s(literal -8/3 binary64)) (pow.f64 eps #s(literal 8 binary64))) |
(* (pow eps 8) (- (* (pow eps 2) (- (* -976/315 (pow eps 2)) 148/45)) 8/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -976/315 binary64) (*.f64 eps eps) #s(literal -148/45 binary64)) (*.f64 eps eps) #s(literal -8/3 binary64)) (pow.f64 eps #s(literal 8 binary64))) |
(* (pow eps 8) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -88/35 (pow eps 2)) 976/315)) 148/45)) 8/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -88/35 binary64) (*.f64 eps eps) #s(literal -976/315 binary64)) (*.f64 eps eps) #s(literal -148/45 binary64)) (*.f64 eps eps) #s(literal -8/3 binary64)) (pow.f64 eps #s(literal 8 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* 1/3 (pow eps 4)) |
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1 |
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#s(literal 1 binary64) |
(- (/ (sin eps) (* eps (pow (sqrt -1) 2))) (+ (* -1 (/ (sin eps) (* eps (* (cos eps) (pow (sqrt -1) 4))))) (/ 1 (pow (sqrt -1) 2)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) |
(- (* -1 (/ (+ (* -1 (- (/ (sin eps) (pow (sqrt -1) 2)) (* -1 (/ (sin eps) (* (cos eps) (pow (sqrt -1) 4)))))) (/ (* (sin eps) (- (/ (sin eps) (pow (sqrt -1) 2)) (* -1 (/ (sin eps) (* (cos eps) (pow (sqrt -1) 4)))))) (* eps (* (cos eps) (pow (sqrt -1) 2))))) eps)) (/ 1 (pow (sqrt -1) 2))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (sin.f64 eps) #s(literal -1 binary64))) (*.f64 (neg.f64 (cos.f64 eps)) eps)) (sin.f64 eps) (-.f64 (/.f64 (sin.f64 eps) #s(literal 1 binary64)) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) eps)) |
(- (* -1 (/ (+ (* -1 (- (/ (sin eps) (pow (sqrt -1) 2)) (* -1 (/ (sin eps) (* (cos eps) (pow (sqrt -1) 4)))))) (* -1 (/ (+ (* -1 (/ (* (sin eps) (- (/ (sin eps) (pow (sqrt -1) 2)) (* -1 (/ (sin eps) (* (cos eps) (pow (sqrt -1) 4)))))) (* (cos eps) (pow (sqrt -1) 2)))) (/ (* (pow (sin eps) 2) (- (/ (sin eps) (pow (sqrt -1) 2)) (* -1 (/ (sin eps) (* (cos eps) (pow (sqrt -1) 4)))))) (* eps (* (pow (cos eps) 2) (pow (sqrt -1) 4))))) eps))) eps)) (/ 1 (pow (sqrt -1) 2))) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (sin.f64 eps) #s(literal -1 binary64))) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (sin.f64 eps) #s(literal -1 binary64))) (sin.f64 eps)) (cos.f64 eps))) eps) (+.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (sin.f64 eps) #s(literal -1 binary64)))) eps) #s(literal -1 binary64)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 158 |
| 0 | 44 | 137 |
| 1 | 203 | 109 |
| 2 | 1681 | 105 |
| 0 | 8661 | 105 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) |
(pow.f64 eps #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (neg.f64 (tan.f64 eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (neg.f64 (tan.f64 eps)))) |
(-.f64 eps (sin.f64 eps)) |
(neg.f64 (tan.f64 eps)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (+.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (/.f64 (+.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (+.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (+.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (/.f64 (+.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))))) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (neg.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 (tan.f64 eps) #s(literal 8 binary64)) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -2 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 (tan.f64 eps) #s(literal 8 binary64)) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 12 binary64))) (*.f64 (pow.f64 (tan.f64 eps) #s(literal 12 binary64)) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))))) #s(literal -1 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 (tan.f64 eps) #s(literal 8 binary64)) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 12 binary64))) (*.f64 (pow.f64 (tan.f64 eps) #s(literal 12 binary64)) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -2 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (+.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
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(fma.f64 (/.f64 (pow.f64 eps #s(literal 3/4 binary64)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 1/4 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) |
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3/4 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 eps #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (-.f64 (neg.f64 (tan.f64 eps)) eps) (*.f64 eps eps)) #s(literal -1 binary64))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) |
(fma.f64 (/.f64 (pow.f64 eps #s(literal 1/4 binary64)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 3/4 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) |
(fma.f64 (/.f64 (pow.f64 eps #s(literal 1/4 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 eps #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (-.f64 (neg.f64 (tan.f64 eps)) eps) (*.f64 eps eps)) #s(literal -1 binary64))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) |
(fma.f64 (/.f64 (sqrt.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 eps) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) |
(fma.f64 (/.f64 (sqrt.f64 eps) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (sqrt.f64 eps) (pow.f64 (fma.f64 (neg.f64 (tan.f64 eps)) (-.f64 (neg.f64 (tan.f64 eps)) eps) (*.f64 eps eps)) #s(literal -1 binary64))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) |
(fma.f64 (/.f64 eps (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) |
(fma.f64 (/.f64 eps (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (tan.f64 eps)) (-.f64 (neg.f64 (tan.f64 eps)) eps) (*.f64 eps eps)) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) |
(fma.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (*.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (*.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))))) |
(-.f64 (/.f64 (*.f64 eps (-.f64 eps (tan.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 eps eps) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (sin.f64 eps) eps)))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) |
(-.f64 (/.f64 (/.f64 (*.f64 eps eps) (+.f64 (sin.f64 eps) eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) (-.f64 eps (tan.f64 eps)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps))) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 eps (tan.f64 eps)))) (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 eps (tan.f64 eps))))) |
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 (sin.f64 eps) eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 eps eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (*.f64 eps eps) (+.f64 (sin.f64 eps) eps)) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) (*.f64 (/.f64 (*.f64 eps eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (sin.f64 eps) (sin.f64 eps) (-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (sin.f64 eps)) eps)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (sin.f64 eps) eps)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (+.f64 (sin.f64 eps) eps)) (*.f64 (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 (sin.f64 eps) eps) (+.f64 (sin.f64 eps) eps))) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (*.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 eps (neg.f64 (sin.f64 eps))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sin.f64 eps) eps))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (neg.f64 (sin.f64 eps))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (neg.f64 (sin.f64 eps)))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (neg.f64 (sin.f64 eps)))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) |
(fma.f64 (sqrt.f64 (pow.f64 eps #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 eps)) (neg.f64 (sin.f64 eps))) |
(fma.f64 (sqrt.f64 (sqrt.f64 eps)) (sqrt.f64 (pow.f64 eps #s(literal 3/2 binary64))) (neg.f64 (sin.f64 eps))) |
(fma.f64 (pow.f64 (pow.f64 eps #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/4 binary64)) (neg.f64 (sin.f64 eps))) |
(fma.f64 (pow.f64 (pow.f64 eps #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 eps #s(literal 1/4 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 eps))) |
(fma.f64 (pow.f64 (pow.f64 eps #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 eps #s(literal 3/4 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 eps))) |
(fma.f64 (pow.f64 eps #s(literal 3/4 binary64)) (pow.f64 eps #s(literal 1/4 binary64)) (neg.f64 (sin.f64 eps))) |
(fma.f64 (pow.f64 eps #s(literal 1/4 binary64)) (pow.f64 (pow.f64 eps #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 eps))) |
(fma.f64 (pow.f64 eps #s(literal 1/4 binary64)) (pow.f64 eps #s(literal 3/4 binary64)) (neg.f64 (sin.f64 eps))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 eps) eps) |
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (sin.f64 eps))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (neg.f64 (sin.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 eps (neg.f64 (sin.f64 eps))))) |
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)))) |
(-.f64 eps (sin.f64 eps)) |
(+.f64 (neg.f64 (sin.f64 eps)) eps) |
(+.f64 eps (neg.f64 (sin.f64 eps))) |
(*.f64 #s(literal -1 binary64) (tan.f64 eps)) |
(*.f64 (tan.f64 eps) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 eps)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 eps) (tan.f64 eps) (*.f64 #s(literal 0 binary64) (tan.f64 eps)))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 eps))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (tan.f64 eps))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 eps) (tan.f64 eps) (*.f64 #s(literal 0 binary64) (tan.f64 eps))))) |
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (neg.f64 (cos.f64 eps)))) |
(/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) |
(neg.f64 (tan.f64 eps)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (tan.f64 eps)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 eps) (tan.f64 eps) (*.f64 #s(literal 0 binary64) (tan.f64 eps))))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 eps) (tan.f64 eps) (*.f64 #s(literal 0 binary64) (tan.f64 eps)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 eps)) (tan.f64 eps)) |
(-.f64 #s(literal 0 binary64) (tan.f64 eps)) |
(+.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 eps))) |
Compiled 43 123 to 2 829 computations (93.4% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 748 | 2 | 750 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 1 | 5 | 6 |
| Total | 751 | 7 | 758 |
| Status | Accuracy | Program |
|---|---|---|
| 3.5% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (tan.f64 eps)))) | |
| ✓ | 0.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 0.4% | (/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64))))) | |
| ✓ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.8% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ✓ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 445 to 157 computations (64.7% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (tan.f64 eps)))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (neg.f64 (tan.f64 eps)))) |
(/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 eps (sin.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) |
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
2 calls:
| 4.0ms | eps |
| 3.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | eps |
| 99.9% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
2 calls:
| 2.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | eps |
| 99.8% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
2 calls:
| 1.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | eps |
| 99.8% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 10 to 7 computations (30% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
2 calls:
| 1.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | eps |
| 99.7% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 74 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 458 |
| 1 | 422 | 429 |
| 2 | 1321 | 404 |
| 3 | 5649 | 381 |
| 0 | 8475 | 355 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
Compiled 108 to 44 computations (59.3% saved)
(abs eps)
Compiled 232 to 96 computations (58.6% saved)
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