
Time bar (total: 16.8s)
| 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)
| 6.3s | 4 528× | 2 | valid |
| 1.7s | 1 301× | 3 | valid |
| 700.0ms | 2 385× | 1 | valid |
| 4.0ms | 42× | 0 | valid |
ival-tan: 4.6s (55.3% of total)ival-sin: 2.3s (27.7% of total)adjust: 628.0ms (7.5% of total)ival-sub: 341.0ms (4.1% of total)const: 276.0ms (3.3% of total)ival-div: 111.0ms (1.3% of total)ival-<=: 47.0ms (0.6% of total)ival-and: 12.0ms (0.1% of total)ival-assert: 3.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 172 | 0 | - | 2 | (9.319660750629743e-105) | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 86 | 0 | - | 1 | (-0.2467553408172756) | (-.f64 eps (tan.f64 eps)) |
| 85 | 0 | - | 0 | - | (-.f64 eps (sin.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 | 85 | 1 |
-.f64 | (-.f64 eps (tan.f64 eps)) | cancellation | 85 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 255 | 1 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 255 | 1 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 0 | 1 |
| 1 | 170 |
| 2 | 85 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 401.0ms | 284× | 2 | valid |
| 112.0ms | 74× | 3 | valid |
| 24.0ms | 148× | 1 | valid |
| 0.0ms | 6× | 0 | valid |
Compiled 57 to 22 computations (61.4% saved)
ival-tan: 254.0ms (50.8% of total)ival-sin: 194.0ms (38.8% of total)adjust: 31.0ms (6.2% of total)ival-sub: 14.0ms (2.8% of total)ival-div: 6.0ms (1.2% 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 | 22 | 27 |
| 2 | 39 | 27 |
| 3 | 62 | 27 |
| 4 | 102 | 27 |
| 5 | 199 | 27 |
| 6 | 421 | 27 |
| 7 | 1106 | 27 |
| 8 | 3013 | 27 |
| 0 | 6 | 9 |
| 0 | 11 | 9 |
| 1 | 17 | 9 |
| 2 | 20 | 9 |
| 3 | 25 | 9 |
| 4 | 34 | 9 |
| 5 | 56 | 9 |
| 6 | 96 | 9 |
| 7 | 195 | 9 |
| 8 | 466 | 9 |
| 9 | 800 | 9 |
| 10 | 1477 | 9 |
| 11 | 2569 | 9 |
| 12 | 3078 | 9 |
| 13 | 3457 | 9 |
| 14 | 3742 | 9 |
| 15 | 3869 | 9 |
| 16 | 3896 | 9 |
| 17 | 3899 | 9 |
| 18 | 3902 | 9 |
| 19 | 3914 | 9 |
| 20 | 3917 | 9 |
| 21 | 3920 | 9 |
| 22 | 3923 | 9 |
| 23 | 3926 | 9 |
| 24 | 3929 | 9 |
| 25 | 3932 | 9 |
| 26 | 3935 | 9 |
| 27 | 7533 | 9 |
| 0 | 8078 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Outputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 9 to 6 computations (33.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 2.5% | (/.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 | 17 | 22 |
| 2 | 20 | 22 |
| 3 | 25 | 22 |
| 4 | 34 | 22 |
| 5 | 56 | 22 |
| 6 | 96 | 22 |
| 7 | 195 | 22 |
| 8 | 466 | 22 |
| 9 | 800 | 22 |
| 10 | 1477 | 22 |
| 11 | 2569 | 22 |
| 12 | 3078 | 22 |
| 13 | 3457 | 22 |
| 14 | 3742 | 22 |
| 15 | 3869 | 22 |
| 16 | 3896 | 22 |
| 17 | 3899 | 22 |
| 18 | 3902 | 22 |
| 19 | 3914 | 22 |
| 20 | 3917 | 22 |
| 21 | 3920 | 22 |
| 22 | 3923 | 22 |
| 23 | 3926 | 22 |
| 24 | 3929 | 22 |
| 25 | 3932 | 22 |
| 26 | 3935 | 22 |
| 27 | 7533 | 22 |
| 0 | 8078 | 22 |
| 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)) |
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 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 | 0.0 | (sin.f64 eps) | |
| accuracy | 18.941912067787207 | (-.f64 eps (tan.f64 eps)) | |
| accuracy | 18.949603148585084 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 42.38044362600262 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 164.0ms | 142× | 2 | valid |
| 35.0ms | 37× | 3 | valid |
| 12.0ms | 74× | 1 | valid |
| 0.0ms | 3× | 0 | valid |
Compiled 24 to 8 computations (66.7% saved)
ival-tan: 97.0ms (49.2% of total)ival-sin: 51.0ms (25.9% of total)adjust: 37.0ms (18.8% of total)ival-sub: 9.0ms (4.6% 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 | 475 |
| 1 | 428 | 433 |
| 2 | 1443 | 405 |
| 3 | 7531 | 405 |
| 0 | 8354 | 389 |
| 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) |
(-.f64 (*.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 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #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 (-.f64 (*.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 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/362880 binary64) (-.f64 (*.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 |
(* 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 (-.f64 (*.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 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)) 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 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -62/2835 binary64) (*.f64 eps eps)) #s(literal 17/315 binary64)) 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))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (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 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.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) |
(+ 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)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.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))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 11 | 19 |
| 1 | 45 | 19 |
| 2 | 334 | 19 |
| 3 | 3817 | 19 |
| 0 | 8508 | 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 eps (sin.f64 eps)) (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (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 (/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps))) |
(*.f64 (/.f64 (neg.f64 (-.f64 eps (sin.f64 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 (+.f64 (sin.f64 eps) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))) |
(*.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)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps 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 (tan.f64 eps) eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(*.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 (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 (-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (-.f64 eps (tan.f64 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 (tan.f64 eps) #s(literal 3 binary64)) (pow.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 (neg.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))) (neg.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)))) |
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (-.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 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps))))) |
(/.f64 (*.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 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 (-.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 (-.f64 eps (sin.f64 eps)) (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 (neg.f64 eps) (neg.f64 (-.f64 eps (tan.f64 eps)))) (*.f64 (neg.f64 (-.f64 eps (tan.f64 eps))) (neg.f64 (sin.f64 eps)))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 eps) (-.f64 eps (tan.f64 eps))) (*.f64 (neg.f64 (-.f64 eps (tan.f64 eps))) (sin.f64 eps))) (*.f64 (neg.f64 (-.f64 eps (tan.f64 eps))) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (-.f64 (*.f64 eps (neg.f64 (-.f64 eps (tan.f64 eps)))) (*.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))) (*.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 (-.f64 eps (tan.f64 eps))))) |
(/.f64 (-.f64 (neg.f64 eps) (neg.f64 (sin.f64 eps))) (neg.f64 (-.f64 eps (tan.f64 eps)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (*.f64 (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (*.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 9 binary64)) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64)))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64))) (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 (sin.f64 eps) eps) (neg.f64 (-.f64 eps (tan.f64 eps))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (*.f64 (neg.f64 (+.f64 (sin.f64 eps) eps)) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (neg.f64 (-.f64 eps (tan.f64 eps))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))))) |
(/.f64 (-.f64 (*.f64 (-.f64 eps (tan.f64 eps)) eps) (*.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) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 (sin.f64 eps) eps)) (neg.f64 (-.f64 eps (tan.f64 eps))))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.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 (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (neg.f64 (-.f64 eps (tan.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (neg.f64 (-.f64 eps (tan.f64 eps)))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps)))) |
(fma.f64 (/.f64 (neg.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps))) |
(fma.f64 (/.f64 (neg.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)) (*.f64 (neg.f64 (/.f64 (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)))) |
(fma.f64 (/.f64 (neg.f64 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 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps))) |
(fma.f64 (/.f64 (neg.f64 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 (neg.f64 (/.f64 (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)))) |
(fma.f64 (/.f64 eps (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tan.f64 eps) eps)) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps))) |
(fma.f64 (/.f64 eps (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tan.f64 eps) eps)) (*.f64 (neg.f64 (/.f64 (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)))) |
(fma.f64 (/.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 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps))) |
(fma.f64 (/.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 (neg.f64 (/.f64 (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)))) |
(fma.f64 (/.f64 eps (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps) (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 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)))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (*.f64 (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (sin.f64 eps) eps))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64)))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps 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 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 (sin.f64 eps) eps)))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (neg.f64 (neg.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))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) |
(neg.f64 (neg.f64 (-.f64 eps (sin.f64 eps)))) |
(fma.f64 (/.f64 (*.f64 eps eps) (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps))) |
(fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (sin.f64 eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps))) |
(fma.f64 (fabs.f64 eps) (/.f64 (fabs.f64 eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps))) |
(fma.f64 (neg.f64 eps) (/.f64 (neg.f64 eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps))) |
(fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps))) |
(-.f64 (*.f64 eps (/.f64 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 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(-.f64 eps (sin.f64 eps)) |
(+.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps))) |
(pow.f64 (sin.f64 eps) #s(literal 1 binary64)) |
(sin.f64 eps) |
(exp.f64 (*.f64 (log.f64 (sin.f64 eps)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps))) |
(*.f64 (/.f64 (-.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 (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 (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 (tan.f64 eps) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (tan.f64 eps) eps))) |
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 2 binary64))) (fma.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 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 2 binary64)) (pow.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 2 binary64))) (+.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 (-.f64 (pow.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 2 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 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 3 binary64)) (pow.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 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 2 binary64)) (+.f64 (pow.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 2 binary64)) (*.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 (neg.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)) |
(/.f64 (neg.f64 (neg.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 (neg.f64 (neg.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 (*.f64 (*.f64 eps eps) (+.f64 (tan.f64 eps) eps)) (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (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 2 binary64))) |
(/.f64 (-.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 (tan.f64 eps) eps))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (tan.f64 eps) #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (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))) (*.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 (tan.f64 eps) eps))) |
(/.f64 (-.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 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (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)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.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 (-.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))) |
(neg.f64 (neg.f64 (-.f64 eps (tan.f64 eps)))) |
(fma.f64 (/.f64 (*.f64 eps eps) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (/.f64 (neg.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)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) |
(fma.f64 (fabs.f64 eps) (/.f64 (fabs.f64 eps) (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) |
(fma.f64 (neg.f64 eps) (/.f64 (neg.f64 eps) (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) |
(fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) |
(-.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 eps (tan.f64 eps)) |
(+.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))) |
Compiled 5 951 to 686 computations (88.5% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 188 | 8 | 196 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 188 | 9 | 197 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.7% | (fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (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)))) |
| 3.2% | (/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps))) | |
| ✓ | 2.5% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ▶ | 1.7% | (/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))))) |
| 1.8% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps))) | |
| ▶ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
| ▶ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
| 99.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) | |
| ▶ | 98.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 379 to 222 computations (41.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 eps) | |
| cost-diff | 0 | (+.f64 (tan.f64 eps) eps) | |
| cost-diff | 0 | (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) | |
| cost-diff | 20 | (fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (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)))) | |
| cost-diff | 0 | #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sin.f64 eps) | |
| cost-diff | 0 | (-.f64 eps (sin.f64 eps)) | |
| cost-diff | 0 | (/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.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 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.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))) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.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 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 372 |
| 0 | 79 | 372 |
| 1 | 148 | 361 |
| 2 | 388 | 353 |
| 3 | 1175 | 352 |
| 4 | 3836 | 352 |
| 0 | 8236 | 352 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
#s(literal 27/2800 binary64) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 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 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
#s(literal -27/2800 binary64) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(*.f64 eps eps) |
#s(literal 9/40 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
#s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))) |
(neg.f64 eps) |
(-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) eps) |
(cos.f64 eps) |
#s(literal 1 binary64) |
(fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (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)))) |
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) |
(+.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
(*.f64 eps eps) |
(/.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 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (tan.f64 eps) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (/.f64 (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))) |
(neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) |
(/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(sin.f64 eps) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
#s(literal 27/2800 binary64) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(*.f64 #s(literal 9/40 binary64) (*.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)) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.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 -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
#s(literal -27/2800 binary64) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(literal 9/40 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps)))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
#s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))) |
#s(approx (- eps (tan eps)) (*.f64 (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps)) |
(neg.f64 eps) |
(-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) eps) |
(cos.f64 eps) |
#s(literal 1 binary64) |
(fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (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 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (-.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 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
(*.f64 eps eps) |
(/.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 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (tan.f64 eps) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (/.f64 (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 (neg.f64 (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))) |
(neg.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(/.f64 (sin.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(sin.f64 eps) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.124794422465883 | (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) | |
| accuracy | 12.390101086539174 | (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) | |
| accuracy | 38.801143255848 | (*.f64 (neg.f64 (/.f64 (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))) | |
| accuracy | 61.61611953341748 | (fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (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)))) | |
| accuracy | 0.0625 | (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))) | |
| accuracy | 18.949603148585084 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 30.162825807850258 | (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) | |
| accuracy | 42.38044362600262 | (/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))))) | |
| accuracy | 0.0 | (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 eps eps) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| accuracy | 0.17624423827770025 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) | |
| accuracy | 0.7345000769204173 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) | |
| accuracy | 0.015625 | (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) | |
| accuracy | 0.07475013616258476 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) | |
| accuracy | 0.140625 | (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
| 563.0ms | 179× | 2 | valid |
| 61.0ms | 76× | 1 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 321 to 45 computations (86% saved)
ival-tan: 200.0ms (38.3% of total)ival-sin: 73.0ms (14% of total)adjust: 70.0ms (13.4% of total)ival-div: 47.0ms (9% of total)ival-cos: 31.0ms (5.9% of total)ival-mult: 29.0ms (5.6% of total)ival-pow: 22.0ms (4.2% of total)ival-sub: 17.0ms (3.3% of total)const: 16.0ms (3.1% of total)ival-add: 13.0ms (2.5% of total)ival-neg: 4.0ms (0.8% of total)exact: 1.0ms (0.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 eps #s(literal 4 binary64)) |
(-.f64 (*.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 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))))) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
#s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (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)))) |
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) |
(+.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
(*.f64 eps eps) |
(-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (/.f64 (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 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) |
(/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 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) |
(pow eps 4) |
-27/2800 |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(* 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)) |
(* 3 (pow eps 2)) |
(* (pow eps 2) (+ 3 (pow eps 2))) |
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2)))))) |
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2)))))))) |
(* 2 eps) |
(* eps (+ 2 (* 1/3 (pow eps 2)))) |
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) |
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))) |
(* eps (+ 1 (* 1/3 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))) |
(* 9/40 (pow eps 2)) |
(* 27/112000 (pow eps 2)) |
(pow eps 2) |
(* 1/3 (pow eps 2)) |
(* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) |
(* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) |
(* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) |
(/ 3 (pow eps 2)) |
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2)) |
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2)) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2)) |
(* -1 (pow eps 5)) |
(* (pow eps 5) (- (* -11/15 (pow eps 2)) 1)) |
(* (pow eps 5) (- (* (pow eps 2) (- (* -88/189 (pow eps 2)) 11/15)) 1)) |
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1282/4725 (pow eps 2)) 88/189)) 11/15)) 1)) |
(/ -1 (pow eps 4)) |
(/ (- (* 11/15 (pow eps 2)) 1) (pow eps 4)) |
(/ (- (* (pow eps 2) (+ 11/15 (* -341/4725 (pow eps 2)))) 1) (pow eps 4)) |
(/ (- (* (pow eps 2) (+ 11/15 (* (pow eps 2) (- (* -1219/70875 (pow eps 2)) 341/4725)))) 1) (pow eps 4)) |
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)))))) |
(* 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)))))) |
(* (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))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(sin eps) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos 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))) (/ (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)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) |
(* (pow eps 2) (+ 1 (/ (sin eps) (* eps (cos eps))))) |
(* (pow eps 2) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(* eps (+ 1 (/ (sin eps) (* eps (cos eps))))) |
(/ (sin eps) (cos eps)) |
-1 |
(- (/ (sin eps) (* eps (cos eps))) 1) |
(* -1 (/ (sin eps) eps)) |
(/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps) |
(/ (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(/ (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))))) eps) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))) |
(/ 1 (pow eps 2)) |
(/ (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (pow eps 2)) |
(/ (- (+ 1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) (pow eps 2)) |
(/ (- (+ 1 (/ (pow (sin eps) 9) (* (pow eps 9) (pow (cos eps) 9)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (* -1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))))) (pow 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) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))) |
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)))) eps))) |
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps)))) |
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1))) |
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)) |
(* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) eps))) eps)) |
(* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3)))) eps)) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps)) |
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1))) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 6) (* (pow eps 3) (pow (cos eps) 6)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (pow eps 3)))) (pow eps 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 9) (* (pow eps 3) (pow (cos eps) 9))) (* -1 (/ (pow (sin eps) 6) (pow (cos eps) 6)))) (pow eps 3))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (pow eps 3)))) (pow eps 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800)) (- (* (* eps eps) 9/40) 1/2)) (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (- (* (* eps eps) 9/40) 1/2) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps)) (+ (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (/ eps (- (pow eps 3) (pow (tan eps) 3)))) (* (neg (/ (sin eps) (- (pow eps 3) (pow (tan eps) 3)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (+ (tan eps) eps) (tan eps) (* (* eps eps) 9/40) (* 27/112000 (* eps eps)) (* eps eps) (- (/ (/ (sin eps) eps) (cos eps)) 1) (* (neg eps) (- (/ (/ (sin eps) eps) (cos eps)) 1)) (* (neg (/ (sin eps) (- (pow eps 3) (pow (tan eps) 3)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps))) (- (pow eps 3) (pow (tan eps) 3)) (/ eps (- (pow eps 3) (pow (tan eps) 3)))) |
| 7.0ms | eps | @ | -inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800)) (- (* (* eps eps) 9/40) 1/2)) (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (- (* (* eps eps) 9/40) 1/2) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps)) (+ (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (/ eps (- (pow eps 3) (pow (tan eps) 3)))) (* (neg (/ (sin eps) (- (pow eps 3) (pow (tan eps) 3)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (+ (tan eps) eps) (tan eps) (* (* eps eps) 9/40) (* 27/112000 (* eps eps)) (* eps eps) (- (/ (/ (sin eps) eps) (cos eps)) 1) (* (neg eps) (- (/ (/ (sin eps) eps) (cos eps)) 1)) (* (neg (/ (sin eps) (- (pow eps 3) (pow (tan eps) 3)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps))) (- (pow eps 3) (pow (tan eps) 3)) (/ eps (- (pow eps 3) (pow (tan eps) 3)))) |
| 5.0ms | eps | @ | 0 | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800)) (- (* (* eps eps) 9/40) 1/2)) (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (- (* (* eps eps) 9/40) 1/2) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps)) (+ (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (/ eps (- (pow eps 3) (pow (tan eps) 3)))) (* (neg (/ (sin eps) (- (pow eps 3) (pow (tan eps) 3)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (+ (tan eps) eps) (tan eps) (* (* eps eps) 9/40) (* 27/112000 (* eps eps)) (* eps eps) (- (/ (/ (sin eps) eps) (cos eps)) 1) (* (neg eps) (- (/ (/ (sin eps) eps) (cos eps)) 1)) (* (neg (/ (sin eps) (- (pow eps 3) (pow (tan eps) 3)))) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps))) (- (pow eps 3) (pow (tan eps) 3)) (/ eps (- (pow eps 3) (pow (tan eps) 3)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 435 | 1706 |
| 1 | 1347 | 1603 |
| 2 | 4929 | 1566 |
| 0 | 8175 | 1523 |
| 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 4) |
-27/2800 |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(* 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)) |
(* 3 (pow eps 2)) |
(* (pow eps 2) (+ 3 (pow eps 2))) |
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2)))))) |
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2)))))))) |
(* 2 eps) |
(* eps (+ 2 (* 1/3 (pow eps 2)))) |
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) |
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))) |
(* eps (+ 1 (* 1/3 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))) |
(* 9/40 (pow eps 2)) |
(* 27/112000 (pow eps 2)) |
(pow eps 2) |
(* 1/3 (pow eps 2)) |
(* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) |
(* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) |
(* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) |
(/ 3 (pow eps 2)) |
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2)) |
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2)) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2)) |
(* -1 (pow eps 5)) |
(* (pow eps 5) (- (* -11/15 (pow eps 2)) 1)) |
(* (pow eps 5) (- (* (pow eps 2) (- (* -88/189 (pow eps 2)) 11/15)) 1)) |
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1282/4725 (pow eps 2)) 88/189)) 11/15)) 1)) |
(/ -1 (pow eps 4)) |
(/ (- (* 11/15 (pow eps 2)) 1) (pow eps 4)) |
(/ (- (* (pow eps 2) (+ 11/15 (* -341/4725 (pow eps 2)))) 1) (pow eps 4)) |
(/ (- (* (pow eps 2) (+ 11/15 (* (pow eps 2) (- (* -1219/70875 (pow eps 2)) 341/4725)))) 1) (pow eps 4)) |
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)))))) |
(* 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)))))) |
(* (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))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(sin eps) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos 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))) (/ (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)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) |
(* (pow eps 2) (+ 1 (/ (sin eps) (* eps (cos eps))))) |
(* (pow eps 2) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(* eps (+ 1 (/ (sin eps) (* eps (cos eps))))) |
(/ (sin eps) (cos eps)) |
-1 |
(- (/ (sin eps) (* eps (cos eps))) 1) |
(* -1 (/ (sin eps) eps)) |
(/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps) |
(/ (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(/ (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))))) eps) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))) |
(/ 1 (pow eps 2)) |
(/ (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (pow eps 2)) |
(/ (- (+ 1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) (pow eps 2)) |
(/ (- (+ 1 (/ (pow (sin eps) 9) (* (pow eps 9) (pow (cos eps) 9)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (* -1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))))) (pow 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) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))) |
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)))) eps))) |
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps)))) |
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1))) |
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)) |
(* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) eps))) eps)) |
(* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3)))) eps)) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps)) |
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1))) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 6) (* (pow eps 3) (pow (cos eps) 6)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (pow eps 3)))) (pow eps 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 9) (* (pow eps 3) (pow (cos eps) 9))) (* -1 (/ (pow (sin eps) 6) (pow (cos eps) 6)))) (pow eps 3))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (pow eps 3)))) (pow eps 2)) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(-.f64 (*.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 (*.f64 #s(literal 9/40 binary64) eps) eps (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) #s(literal 1/2 binary64))) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
-27/2800 |
#s(literal -27/2800 binary64) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 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 (-.f64 (*.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 (-.f64 (fma.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.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 |
(* 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 (-.f64 (*.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 (-.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #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 (-.f64 (*.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 (-.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.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))) |
(* 3 (pow eps 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (+ 3 (pow eps 2))) |
(fma.f64 #s(literal 3 binary64) (*.f64 eps eps) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2)))))) |
(*.f64 (fma.f64 eps eps (fma.f64 #s(literal 23/45 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal 3 binary64))) (*.f64 eps eps)) |
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2)))))))) |
(*.f64 (fma.f64 eps eps (fma.f64 (fma.f64 #s(literal 79/315 binary64) (*.f64 eps eps) #s(literal 23/45 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 3 binary64))) (*.f64 eps eps)) |
(* 2 eps) |
(*.f64 #s(literal 2 binary64) eps) |
(* eps (+ 2 (* 1/3 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 eps eps) #s(literal 2 binary64)) eps) |
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 2 binary64)) eps) |
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))) |
(*.f64 (fma.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)) (*.f64 eps eps) #s(literal 2 binary64)) eps) |
(* eps (+ 1 (* 1/3 (pow eps 2)))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) |
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))) |
(fma.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)) eps) |
(* 9/40 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(* 27/112000 (pow eps 2)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* 1/3 (pow eps 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) |
(fma.f64 #s(literal 2/15 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) |
(* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) |
(*.f64 (*.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)) eps) eps) |
(* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) |
(*.f64 (*.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)) eps) eps) |
(/ 3 (pow eps 2)) |
(/.f64 #s(literal 3 binary64) (*.f64 eps eps)) |
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -17/10 binary64) (*.f64 eps eps) #s(literal 3 binary64)) eps) eps) |
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 307/1400 binary64) (*.f64 eps eps)) #s(literal 17/10 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) eps) eps) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1247/126000 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 307/1400 binary64) (*.f64 eps eps))) #s(literal 17/10 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) eps) eps) |
(* -1 (pow eps 5)) |
(neg.f64 (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (- (* -11/15 (pow eps 2)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal -11/15 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (- (* (pow eps 2) (- (* -88/189 (pow eps 2)) 11/15)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -88/189 binary64) (*.f64 eps eps)) #s(literal 11/15 binary64)) eps) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1282/4725 (pow eps 2)) 88/189)) 11/15)) 1)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1282/4725 binary64) (*.f64 eps eps)) #s(literal 88/189 binary64)) eps) eps) #s(literal 11/15 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/ -1 (pow eps 4)) |
(/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(/ (- (* 11/15 (pow eps 2)) 1) (pow eps 4)) |
(/.f64 (-.f64 (*.f64 #s(literal 11/15 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(/ (- (* (pow eps 2) (+ 11/15 (* -341/4725 (pow eps 2)))) 1) (pow eps 4)) |
(/.f64 (-.f64 (fma.f64 #s(literal -341/4725 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 11/15 binary64) (*.f64 eps eps))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(/ (- (* (pow eps 2) (+ 11/15 (* (pow eps 2) (- (* -1219/70875 (pow eps 2)) 341/4725)))) 1) (pow eps 4)) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1219/70875 binary64) (*.f64 eps eps)) #s(literal 341/4725 binary64)) (*.f64 eps eps) #s(literal 11/15 binary64)) eps) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 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))))) |
(+.f64 (/.f64 (/.f64 (+.f64 (sin.f64 eps) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) eps)) eps) (cos.f64 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 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (/.f64 (/.f64 (+.f64 (sin.f64 eps) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) eps)) eps) (neg.f64 (cos.f64 eps)))) |
(* 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))) |
(* (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))) |
(* (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) |
(* 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 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 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) (* (pow eps 2) (pow (cos eps) 2))))))) |
(+.f64 (/.f64 (/.f64 (+.f64 (sin.f64 eps) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) eps)) eps) (cos.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) |
(+.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (/.f64 (/.f64 (+.f64 (sin.f64 eps) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) eps)) eps) (cos.f64 eps))) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))) |
(* (pow eps 2) (+ 1 (/ (sin eps) (* eps (cos eps))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps eps) eps) |
(* (pow eps 2) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) eps) (cos.f64 eps)) #s(literal 1 binary64)) (*.f64 eps eps)) |
(* eps (+ 1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps eps) |
(/ (sin eps) (cos eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
-1 |
#s(literal -1 binary64) |
(- (/ (sin eps) (* eps (cos eps))) 1) |
(-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) |
(* -1 (/ (sin eps) eps)) |
(/.f64 (sin.f64 eps) (neg.f64 eps)) |
(/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps) |
(/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (neg.f64 eps)) |
(/ (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) eps) (neg.f64 (sin.f64 eps))) eps) |
(/ (+ (* -1 (sin eps)) (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))))) eps) |
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) eps) (neg.f64 (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 eps) eps) #s(literal 3 binary64)))) eps) |
(pow eps 3) |
(pow.f64 eps #s(literal 3 binary64)) |
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))) |
(/ 1 (pow eps 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 eps eps)) |
(/ (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (pow eps 2)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) eps) |
(/ (- (+ 1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) (pow eps 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64))) (*.f64 eps eps)) |
(/ (- (+ 1 (/ (pow (sin eps) 9) (* (pow eps 9) (pow (cos eps) 9)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (* -1 (/ (pow (sin eps) 6) (* (pow eps 6) (pow (cos eps) 6)))))) (pow eps 2)) |
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 9 binary64)) (pow.f64 eps #s(literal 9 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))))) (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64))) (*.f64 eps eps)) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(+ 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 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) eps)) (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 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 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 eps)) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))) |
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps)) eps)) eps)) |
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) eps) #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps))) eps)) eps)) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps)))) |
(*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (cos.f64 eps)) eps) #s(literal 1 binary64)) (*.f64 eps eps)) |
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64))) |
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)) |
(/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (neg.f64 eps)) |
(* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) eps))) eps)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) eps) (neg.f64 (sin.f64 eps))) eps) |
(* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1 (/ (+ (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3)))) eps)) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps)) |
(/.f64 (-.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (neg.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) eps)) (neg.f64 eps)) |
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 6) (* (pow eps 3) (pow (cos eps) 6)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (pow eps 3)))) (pow eps 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (cos.f64 eps) #s(literal 6 binary64))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 eps eps)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 9) (* (pow eps 3) (pow (cos eps) 9))) (* -1 (/ (pow (sin eps) 6) (pow (cos eps) 6)))) (pow eps 3))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (pow eps 3)))) (pow eps 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 9 binary64)) (pow.f64 eps #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64)))) (*.f64 eps eps)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 288 |
| 0 | 79 | 288 |
| 1 | 303 | 238 |
| 2 | 2437 | 238 |
| 0 | 8274 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 eps #s(literal 4 binary64)) |
(-.f64 (*.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 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))))) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
#s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (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)))) |
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) |
(+.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
(*.f64 eps eps) |
(-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (/.f64 (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 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) |
(/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 8 binary64))))) (neg.f64 (-.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 8 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 12 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 8 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (-.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))))))) |
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(fma.f64 (pow.f64 (neg.f64 eps) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 eps) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (pow.f64 (neg.f64 eps) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 eps #s(literal 3/2 binary64))) (neg.f64 (pow.f64 eps #s(literal 3/2 binary64))) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 eps #s(literal 3/2 binary64))) (neg.f64 (pow.f64 eps #s(literal 3/2 binary64))) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (neg.f64 (pow.f64 eps #s(literal 3/2 binary64))) (neg.f64 (pow.f64 eps #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (neg.f64 eps) (*.f64 eps eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (neg.f64 eps) (*.f64 eps eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (neg.f64 eps) (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 eps eps) (neg.f64 eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (*.f64 eps eps) (neg.f64 eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (*.f64 eps eps) (neg.f64 eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 eps eps) eps (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (*.f64 eps eps) eps (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (*.f64 eps eps) eps (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 eps (*.f64 eps eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 eps (*.f64 eps eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 eps (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 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 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(+.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(+.f64 (pow.f64 eps #s(literal 3 binary64)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(*.f64 (/.f64 eps (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (/.f64 eps (-.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))) (+.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64)))) |
(/.f64 (neg.f64 (/.f64 eps (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) (neg.f64 (-.f64 eps (tan.f64 eps)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))) |
(/.f64 (/.f64 eps (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 eps) (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) |
(/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) |
(neg.f64 (/.f64 eps (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))) |
Compiled 45 971 to 3 302 computations (92.8% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 949 | 5 | 954 |
| Fresh | 0 | 3 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 953 | 10 | 963 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.7% | (/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (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)))) |
| 3.2% | (/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps))) | |
| ✓ | 2.5% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ▶ | 1.7% | (/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps))) |
| 1.8% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps))) | |
| 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) | |
| ▶ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
| ▶ | 99.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
| ▶ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))) |
| ✓ | 98.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 414 to 244 computations (41.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (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)))) | |
| cost-diff | 11 | (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.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)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps))) | |
| cost-diff | 4 | (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))) | |
| cost-diff | 1 | (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| cost-diff | 0 | (-.f64 (*.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))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 438 |
| 0 | 87 | 436 |
| 1 | 163 | 414 |
| 2 | 376 | 414 |
| 3 | 1101 | 408 |
| 4 | 3442 | 402 |
| 0 | 8108 | 402 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
#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))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))) |
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
#s(literal 9/40 binary64) |
(*.f64 eps eps) |
eps |
(-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) |
#s(literal 1/2 binary64) |
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) |
#s(literal 27/112000 binary64) |
#s(literal 27/2800 binary64) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)) |
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
(neg.f64 eps) |
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) eps) |
(cos.f64 eps) |
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (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 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) |
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) |
(+.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
(*.f64 eps eps) |
(*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
(sin.f64 eps) |
(-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (tan.f64 eps) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.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 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal 27/112000 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))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
#s(literal 9/40 binary64) |
(*.f64 eps eps) |
eps |
(-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) |
#s(literal 27/112000 binary64) |
#s(literal 27/2800 binary64) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)) |
#s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(neg.f64 eps) |
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) eps) |
(cos.f64 eps) |
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (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 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 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (-.f64 eps (sin.f64 eps))) |
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) |
(fma.f64 (*.f64 (+.f64 (tan.f64 eps) eps) eps) (tan.f64 eps) (pow.f64 eps #s(literal 3 binary64))) |
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) |
(+.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
(*.f64 eps eps) |
(*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (sin.f64 eps)) |
(sin.f64 eps) |
(-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (tan.f64 eps) #s(literal 3 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.07421875 | (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) | |
| accuracy | 12.390101086539174 | (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) | |
| accuracy | 12.493187920695286 | (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) | |
| accuracy | 49.07207006984976 | (/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (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)))) | |
| accuracy | 0.00390625 | (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) | |
| accuracy | 18.949603148585084 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 18.979072226362945 | (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) | |
| accuracy | 42.38044362600262 | (/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps))) | |
| accuracy | 0.07475013616258476 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))) | |
| accuracy | 0.10546875 | (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) | |
| accuracy | 0.140625 | (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) | |
| accuracy | 0.15234375 | (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) | |
| accuracy | 0.0 | (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 eps eps) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| accuracy | 0.32212286825304204 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 0.07475013616258476 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) | |
| accuracy | 0.125 | (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) | |
| accuracy | 0.140625 | (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) | |
| accuracy | 0.19140625 | (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
| 334.0ms | 139× | 2 | valid |
| 96.0ms | 42× | 3 | valid |
| 90.0ms | 73× | 1 | valid |
| 1.0ms | 2× | 0 | valid |
Compiled 381 to 47 computations (87.7% saved)
adjust: 92.0ms (21.8% of total)ival-tan: 90.0ms (21.3% of total)ival-sin: 53.0ms (12.6% of total)ival-mult: 42.0ms (10% of total)ival-add: 33.0ms (7.8% of total)ival-cos: 31.0ms (7.4% of total)ival-sub: 26.0ms (6.2% of total)ival-pow: 22.0ms (5.2% of total)const: 16.0ms (3.8% of total)ival-div: 15.0ms (3.6% of total)ival-neg: 1.0ms (0.2% 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))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(*.f64 eps eps) |
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps))) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (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 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) |
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) |
(-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) |
(*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps 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) |
(* 9/40 (pow eps 2)) |
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(* 9/40 eps) |
(* eps (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(pow eps 2) |
(* -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)))) |
(* 1/2 (pow eps 5)) |
(* (pow eps 5) (+ 1/2 (* 17/120 (pow eps 2)))) |
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (+ 17/120 (* 1171/15120 (pow eps 2)))))) |
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (+ 17/120 (* (pow eps 2) (+ 1171/15120 (* 22819/604800 (pow eps 2)))))))) |
(* 3 (pow eps 3)) |
(* (pow eps 3) (+ 3 (pow eps 2))) |
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2)))))) |
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2)))))))) |
(* 3 (pow eps 2)) |
(* (pow eps 2) (+ 3 (pow eps 2))) |
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2)))))) |
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2)))))))) |
(* 27/112000 (pow eps 2)) |
(* -27/2800 (pow eps 4)) |
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) |
1 |
(+ 1 (* 1/3 (pow eps 2))) |
(+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))) |
(+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))) |
(* -1 (pow eps 5)) |
(* (pow eps 5) (- (* -11/15 (pow eps 2)) 1)) |
(* (pow eps 5) (- (* (pow eps 2) (- (* -88/189 (pow eps 2)) 11/15)) 1)) |
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1282/4725 (pow eps 2)) 88/189)) 11/15)) 1)) |
(* (pow eps 3) (+ 3 (* 1/2 (pow eps 2)))) |
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1/2 (* 133/360 (pow eps 2)))))) |
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 133/360 (* 2621/15120 (pow eps 2)))))))) |
(- (+ 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 5)) |
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(sin eps) |
(pow eps 3) |
(* (pow eps 3) (- (+ 1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))) |
(* (pow eps 3) (- (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) |
(* (pow eps 3) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) |
(- (+ 1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)) |
(- (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) |
(* (pow eps 3) (+ 1 (/ (sin eps) (* eps (cos eps))))) |
(* (pow eps 3) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(* (pow eps 2) (+ 1 (/ (sin eps) (* eps (cos eps))))) |
(* (pow eps 2) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(/ (sin eps) (* eps (cos eps))) |
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))) |
(* (pow eps 2) (sin eps)) |
(* (pow eps 2) (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps))))) |
(* (pow eps 2) (+ (sin eps) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (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 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (cos eps))))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps))) eps))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps)) 1))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps)))) |
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1))) |
(* (pow eps 2) (+ (sin eps) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) eps)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | 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) eps) eps) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) (- (* 9/40 (* eps eps)) (- 1/2 (* (- (* (* eps eps) 27/112000) 27/2800) (pow eps 4)))) (/ (- eps (sin eps)) (- eps (tan eps))) (* 9/40 (* eps eps)) (+ (* (neg eps) (/ (/ (sin eps) eps) (cos eps))) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (/ (- (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (- (pow eps 3) (pow (tan eps) 3))) (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (* 27/112000 (* eps eps)) (* (* eps eps) 27/112000) (* (- (* (* eps eps) 27/112000) 27/2800) (pow eps 4)) (/ (/ (sin eps) eps) (cos eps)) (- (pow eps 3) (pow (tan eps) 3)) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) |
| 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) eps) eps) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) (- (* 9/40 (* eps eps)) (- 1/2 (* (- (* (* eps eps) 27/112000) 27/2800) (pow eps 4)))) (/ (- eps (sin eps)) (- eps (tan eps))) (* 9/40 (* eps eps)) (+ (* (neg eps) (/ (/ (sin eps) eps) (cos eps))) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (/ (- (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (- (pow eps 3) (pow (tan eps) 3))) (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (* 27/112000 (* eps eps)) (* (* eps eps) 27/112000) (* (- (* (* eps eps) 27/112000) 27/2800) (pow eps 4)) (/ (/ (sin eps) eps) (cos eps)) (- (pow eps 3) (pow (tan eps) 3)) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) |
| 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) eps) eps) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) (- (* 9/40 (* eps eps)) (- 1/2 (* (- (* (* eps eps) 27/112000) 27/2800) (pow eps 4)))) (/ (- eps (sin eps)) (- eps (tan eps))) (* 9/40 (* eps eps)) (+ (* (neg eps) (/ (/ (sin eps) eps) (cos eps))) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (/ (- (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) (- (pow eps 3) (pow (tan eps) 3))) (* (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)) (* 27/112000 (* eps eps)) (* (* eps eps) 27/112000) (* (- (* (* eps eps) 27/112000) 27/2800) (pow eps 4)) (/ (/ (sin eps) eps) (cos eps)) (- (pow eps 3) (pow (tan eps) 3)) (* (sin eps) (+ (* (+ (tan eps) eps) (tan eps)) (* eps eps)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 389 | 1717 |
| 1 | 1264 | 1624 |
| 2 | 4594 | 1577 |
| 0 | 8859 | 1529 |
| 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 (pow eps 2)) |
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(* 9/40 eps) |
(* eps (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(pow eps 2) |
(* -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)))) |
(* 1/2 (pow eps 5)) |
(* (pow eps 5) (+ 1/2 (* 17/120 (pow eps 2)))) |
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (+ 17/120 (* 1171/15120 (pow eps 2)))))) |
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (+ 17/120 (* (pow eps 2) (+ 1171/15120 (* 22819/604800 (pow eps 2)))))))) |
(* 3 (pow eps 3)) |
(* (pow eps 3) (+ 3 (pow eps 2))) |
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2)))))) |
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2)))))))) |
(* 3 (pow eps 2)) |
(* (pow eps 2) (+ 3 (pow eps 2))) |
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* 23/45 (pow eps 2)))))) |
(* (pow eps 2) (+ 3 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 23/45 (* 79/315 (pow eps 2)))))))) |
(* 27/112000 (pow eps 2)) |
(* -27/2800 (pow eps 4)) |
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) |
1 |
(+ 1 (* 1/3 (pow eps 2))) |
(+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))) |
(+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))) |
(* -1 (pow eps 5)) |
(* (pow eps 5) (- (* -11/15 (pow eps 2)) 1)) |
(* (pow eps 5) (- (* (pow eps 2) (- (* -88/189 (pow eps 2)) 11/15)) 1)) |
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1282/4725 (pow eps 2)) 88/189)) 11/15)) 1)) |
(* (pow eps 3) (+ 3 (* 1/2 (pow eps 2)))) |
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1/2 (* 133/360 (pow eps 2)))))) |
(* (pow eps 3) (+ 3 (* (pow eps 2) (+ 1/2 (* (pow eps 2) (+ 133/360 (* 2621/15120 (pow eps 2)))))))) |
(- (+ 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 5)) |
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(sin eps) |
(pow eps 3) |
(* (pow eps 3) (- (+ 1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))) |
(* (pow eps 3) (- (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) |
(* (pow eps 3) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) |
(- (+ 1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)) |
(- (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) |
(* (pow eps 3) (+ 1 (/ (sin eps) (* eps (cos eps))))) |
(* (pow eps 3) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(* (pow eps 2) (+ 1 (/ (sin eps) (* eps (cos eps))))) |
(* (pow eps 2) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(/ (sin eps) (* eps (cos eps))) |
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))) |
(* (pow eps 2) (sin eps)) |
(* (pow eps 2) (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps))))) |
(* (pow eps 2) (+ (sin eps) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (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 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (cos eps))))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps))) eps))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps)) 1))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps)))) |
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1))) |
(* (pow eps 2) (+ (sin eps) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) eps)))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(-.f64 (*.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) |
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(* (pow eps 2) (+ (sin eps) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) eps) (sin.f64 eps)) (*.f64 eps eps)) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(+ 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 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) eps)) (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 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 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(*.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps)) 1))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (neg.f64 eps)) #s(literal 1 binary64))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)) 1))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps)) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (neg.f64 eps)) #s(literal 1 binary64))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (cos eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)) 1))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)) (sin.f64 eps)) (neg.f64 eps)) #s(literal 1 binary64))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps))) |
(+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps)) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)) eps) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (- (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (cos eps))))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) eps)) eps)) eps)) |
(* -1 (* (pow eps 3) (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (sin.f64 eps) (neg.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps)) 1))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (cos.f64 eps)) (neg.f64 eps)) #s(literal 1 binary64))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps)))) |
(*.f64 eps (fma.f64 eps (/.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (cos.f64 eps)) eps) eps)) |
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(* (pow eps 2) (+ (sin eps) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2))))) eps)))) |
(*.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (cos.f64 eps)) eps) (sin.f64 eps)) (*.f64 eps eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 331 |
| 0 | 87 | 331 |
| 1 | 358 | 309 |
| 2 | 2603 | 309 |
| 0 | 8311 | 307 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(*.f64 eps eps) |
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps))) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (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 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) |
(fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) |
(-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) |
(*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 (*.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 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (-.f64 (*.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 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 (*.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 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/4 binary64))) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 (*.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 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (fma.f64 (-.f64 (*.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 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 (*.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 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))) |
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(fma.f64 (neg.f64 (neg.f64 (pow.f64 eps #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 eps #s(literal 3/2 binary64)))) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (pow.f64 eps #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 eps #s(literal 3/2 binary64)))) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (neg.f64 (neg.f64 (pow.f64 eps #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 eps #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 eps) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 eps) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (pow.f64 (neg.f64 eps) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 eps #s(literal 3/2 binary64))) (neg.f64 (pow.f64 eps #s(literal 3/2 binary64))) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 eps #s(literal 3/2 binary64))) (neg.f64 (pow.f64 eps #s(literal 3/2 binary64))) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (neg.f64 (pow.f64 eps #s(literal 3/2 binary64))) (neg.f64 (pow.f64 eps #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (neg.f64 eps) (*.f64 eps eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (neg.f64 eps) (*.f64 eps eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (neg.f64 eps) (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 eps eps) (neg.f64 eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (*.f64 eps eps) (neg.f64 eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (*.f64 eps eps) (neg.f64 eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 eps eps) eps (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 (*.f64 eps eps) eps (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 (*.f64 eps eps) eps (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(fma.f64 eps (*.f64 eps eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(fma.f64 eps (*.f64 eps eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(fma.f64 eps (*.f64 eps eps) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 binary64)))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 3 binary64))) (pow.f64 eps #s(literal 6 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 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))) |
(+.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (tan.f64 eps))) |
(+.f64 (pow.f64 eps #s(literal 3 binary64)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (sin.f64 eps)) |
(*.f64 (sin.f64 eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (sin.f64 eps))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 (neg.f64 eps) eps)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64))) (sin.f64 eps))) (neg.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps))) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) (-.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 (neg.f64 eps) eps)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) (+.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps))) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 eps) eps) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) eps) eps)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 eps) eps) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 eps) eps) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) eps) eps)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (sin.f64 eps)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 (neg.f64 eps) eps))) |
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64))) (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps))) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 eps) (-.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 (neg.f64 eps) eps))) |
(/.f64 (*.f64 (sin.f64 eps) (+.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps))) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 eps) eps) eps) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) eps) eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sin.f64 eps) eps) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 eps) eps) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) eps) eps))))) |
(fma.f64 (*.f64 (sin.f64 eps) (neg.f64 eps)) (neg.f64 eps) (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps))) |
(fma.f64 (*.f64 (sin.f64 eps) (+.f64 (tan.f64 eps) eps)) (tan.f64 eps) (*.f64 (*.f64 (sin.f64 eps) eps) eps)) |
(fma.f64 (*.f64 (sin.f64 eps) (tan.f64 eps)) (+.f64 (tan.f64 eps) eps) (*.f64 (*.f64 (sin.f64 eps) eps) eps)) |
(fma.f64 (*.f64 (sin.f64 eps) eps) eps (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps))) |
(fma.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps) (*.f64 (*.f64 (sin.f64 eps) eps) eps)) |
(fma.f64 (+.f64 (tan.f64 eps) eps) (*.f64 (tan.f64 eps) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) eps) eps)) |
(fma.f64 (tan.f64 eps) (*.f64 (+.f64 (tan.f64 eps) eps) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) eps) eps)) |
(fma.f64 (sin.f64 eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) eps) eps)) |
(fma.f64 (sin.f64 eps) (*.f64 eps eps) (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps))) |
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 eps)) (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps))) |
(fma.f64 (*.f64 eps eps) (sin.f64 eps) (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps))) |
(fma.f64 eps (*.f64 (sin.f64 eps) eps) (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps))) |
(-.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) (*.f64 (*.f64 (neg.f64 eps) eps) (sin.f64 eps))) |
(-.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 eps)) (*.f64 eps eps))) |
(+.f64 (*.f64 (*.f64 (sin.f64 eps) eps) eps) (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps))) |
(+.f64 (*.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) eps) eps)) |
Compiled 36 268 to 3 138 computations (91.3% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 732 | 3 | 735 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 735 | 10 | 745 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 1.7% | (/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (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)))) |
| ▶ | 3.2% | (/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps))) |
| ✓ | 2.5% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ▶ | 1.7% | (/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))) |
| ▶ | 1.8% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps))) |
| ✓ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
| ✓ | 99.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
| ▶ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))) |
| ▶ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))))) |
| ✓ | 98.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 366 to 220 computations (39.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 eps (+.f64 (sin.f64 eps) eps)) | |
| cost-diff | 0 | (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps))) | |
| cost-diff | 5 | (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (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)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))) | |
| cost-diff | 4 | (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) | |
| cost-diff | 0 | #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) | |
| cost-diff | 0 | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps))) | |
| cost-diff | 0 | #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))))) | |
| cost-diff | 1 | (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))) | |
| cost-diff | 4 | (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 481 |
| 0 | 97 | 481 |
| 1 | 167 | 473 |
| 2 | 359 | 473 |
| 3 | 997 | 459 |
| 4 | 2238 | 445 |
| 5 | 3049 | 443 |
| 6 | 4461 | 443 |
| 7 | 6726 | 443 |
| 0 | 8118 | 437 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))))) |
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
#s(literal 9/40 binary64) |
(*.f64 eps eps) |
eps |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) |
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) |
#s(literal 27/112000 binary64) |
#s(literal 27/2800 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) |
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(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 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
eps |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)) |
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps) |
(neg.f64 eps) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) |
(*.f64 (cos.f64 eps) eps) |
(cos.f64 eps) |
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps))) |
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) |
(*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) |
eps |
(/.f64 eps (+.f64 (sin.f64 eps) eps)) |
(+.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) |
(pow.f64 (sin.f64 eps) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(literal 9/40 binary64) |
(*.f64 eps eps) |
eps |
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))) |
(fma.f64 (neg.f64 (pow.f64 eps #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps) |
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) |
(*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) |
(-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
#s(literal 27/112000 binary64) |
#s(literal 27/2800 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) |
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(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 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
eps |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps)) |
#s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(neg.f64 eps) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) |
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) |
(*.f64 (cos.f64 eps) eps) |
(cos.f64 eps) |
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (/.f64 (fma.f64 eps eps (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps))) (+.f64 (sin.f64 eps) eps)) |
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) |
(/.f64 (fma.f64 eps eps (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (+.f64 (sin.f64 eps) eps)) |
(*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) |
(*.f64 (/.f64 eps (+.f64 (sin.f64 eps) eps)) eps) |
eps |
(/.f64 eps (+.f64 (sin.f64 eps) eps)) |
(+.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) |
(pow.f64 (sin.f64 eps) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 18.941912067787207 | (-.f64 eps (tan.f64 eps)) | |
| accuracy | 18.972674934466667 | (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) | |
| accuracy | 28.458755603320554 | (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) | |
| accuracy | 42.132069454305345 | (/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps))) | |
| accuracy | 0.00390625 | (*.f64 (cos.f64 eps) eps) | |
| accuracy | 18.949603148585084 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 18.979072226362945 | (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps) | |
| accuracy | 42.132069454305345 | (/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))) | |
| accuracy | 0.06640625 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) | |
| accuracy | 18.941912067787207 | (-.f64 eps (tan.f64 eps)) | |
| accuracy | 30.13061287097849 | (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) | |
| accuracy | 42.132069454305345 | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps))) | |
| accuracy | 0.07475013616258476 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))) | |
| accuracy | 0.125 | (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) | |
| accuracy | 0.1875 | (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) | |
| accuracy | 0.26813759303171836 | #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) | |
| accuracy | 0.140625 | (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) | |
| accuracy | 0.15234375 | (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) | |
| accuracy | 0.16015625 | (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) | |
| accuracy | 0.40625 | (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) |
| 312.0ms | 139× | 2 | valid |
| 95.0ms | 73× | 1 | valid |
| 88.0ms | 41× | 3 | valid |
| 5.0ms | 1× | 5 | exit |
| 1.0ms | 2× | 0 | valid |
Compiled 364 to 50 computations (86.3% saved)
adjust: 96.0ms (21.6% of total)ival-tan: 88.0ms (19.8% of total)ival-sin: 51.0ms (11.5% of total)ival-mult: 45.0ms (10.1% of total)ival-div: 34.0ms (7.6% of total)ival-cos: 31.0ms (7% of total)ival-add: 30.0ms (6.7% of total)ival-sub: 24.0ms (5.4% of total)ival-pow2: 23.0ms (5.2% of total)const: 21.0ms (4.7% of total)ival-neg: 1.0ms (0.2% 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 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)) |
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))))) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) |
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) |
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps))) |
(*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) |
(/.f64 eps (+.f64 (sin.f64 eps) eps)) |
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) |
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) |
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(-.f64 eps (tan.f64 eps)) |
(*.f64 (cos.f64 eps) eps) |
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) |
| Outputs |
|---|
(* -27/2800 (pow eps 4)) |
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) |
-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 (pow eps 2)) |
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(* 9/40 eps) |
(* eps (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(* 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)))) |
(* 1/6 (pow eps 2)) |
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(* -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)) |
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)))) |
(* 1/2 eps) |
(* eps (+ 1/2 (* 1/24 (pow eps 2)))) |
(* eps (+ 1/2 (* (pow eps 2) (+ 1/24 (* 1/720 (pow eps 2)))))) |
(* eps (+ 1/2 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (+ 1/720 (* -1/120960 (pow eps 2)))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow eps 2))) |
(+ 1/2 (* (pow eps 2) (+ 1/24 (* 1/720 (pow eps 2))))) |
(+ 1/2 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (+ 1/720 (* -1/120960 (pow eps 2))))))) |
(* -27/2800 eps) |
(* eps (- (* 27/112000 (pow eps 2)) 27/2800)) |
(* -27/2800 (pow eps 2)) |
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)) |
(* 27/112000 (pow eps 2)) |
(* eps (+ 1 (* -1/2 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))) |
(* eps (+ 1/2 (* -1/8 (pow eps 2)))) |
(* eps (+ 1/2 (* (pow eps 2) (- (* 7/720 (pow eps 2)) 1/8)))) |
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 7/720 (* -5/24192 (pow eps 2)))) 1/8)))) |
(* 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)))))) |
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)))))) |
(* 27/112000 (pow eps 5)) |
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(+ 1 (* -1 (/ (sin eps) eps))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(sin eps) |
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))) (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* eps (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) |
(* eps (- (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps)))) |
(- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps)) |
(- (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) |
(* 27/112000 (pow eps 3)) |
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* 27/112000 (pow eps 4)) |
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* -27/2800 (pow eps 3)) |
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* eps (cos eps)) |
(/ (pow (sin eps) 2) eps) |
(/ (+ (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps) |
(/ (- (+ (/ (pow (sin eps) 4) (pow eps 2)) (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps) |
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (pow eps 3))) (pow (sin eps) 2)) (+ (* -1 (/ (pow (sin eps) 4) (pow eps 2))) (/ (pow (sin eps) 3) eps))) 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 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) (/ (* (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 (/ (+ (* -1 (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* eps (cos eps))))) eps))) eps))) |
(* -1 (* eps (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (sin eps)) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) eps) (pow (sin eps) 2)) eps)) (sin eps)) eps)) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) eps)) (* -1 (sin eps))) eps))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (* -1 (pow (sin eps) 2))) eps)) (* -1 (sin eps))) eps))) |
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2)))))) |
(* -1 (/ (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) eps) (pow (sin eps) 3)) eps)) (* -1 (pow (sin eps) 2))) eps)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) eps) (pow (sin eps) 4)) eps)) (pow (sin eps) 3)) eps)) (* -1 (pow (sin eps) 2))) eps)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | eps | @ | 0 | ((* (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* eps eps)) (- (* 9/40 (* eps eps)) (- 1/2 (* (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* eps eps)))) (/ (- eps (sin eps)) (- eps (tan eps))) (* 9/40 (* eps eps)) (/ (- 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) eps) eps) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (- 1 (/ (sin eps) eps)) eps) (- 1 (/ (sin eps) eps)) (+ (* (neg eps) (/ (sin eps) (* (cos eps) eps))) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- (* eps (/ eps (+ (sin eps) eps))) (/ (pow (sin eps) 2) (+ (sin eps) eps))) (/ (- (* eps (/ eps (+ (sin eps) eps))) (/ (pow (sin eps) 2) (+ (sin eps) eps))) (- eps (tan eps))) (* eps (/ eps (+ (sin eps) eps))) (/ eps (+ (sin eps) eps)) (* (- (* (* eps eps) 27/112000) 27/2800) eps) (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* (* eps eps) 27/112000) (* (+ (* -27/2800 (* eps eps)) 9/40) eps) (- eps (tan eps)) (* (cos eps) eps) (/ (pow (sin eps) 2) (+ (sin eps) eps))) |
| 6.0ms | eps | @ | -inf | ((* (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* eps eps)) (- (* 9/40 (* eps eps)) (- 1/2 (* (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* eps eps)))) (/ (- eps (sin eps)) (- eps (tan eps))) (* 9/40 (* eps eps)) (/ (- 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) eps) eps) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (- 1 (/ (sin eps) eps)) eps) (- 1 (/ (sin eps) eps)) (+ (* (neg eps) (/ (sin eps) (* (cos eps) eps))) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- (* eps (/ eps (+ (sin eps) eps))) (/ (pow (sin eps) 2) (+ (sin eps) eps))) (/ (- (* eps (/ eps (+ (sin eps) eps))) (/ (pow (sin eps) 2) (+ (sin eps) eps))) (- eps (tan eps))) (* eps (/ eps (+ (sin eps) eps))) (/ eps (+ (sin eps) eps)) (* (- (* (* eps eps) 27/112000) 27/2800) eps) (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* (* eps eps) 27/112000) (* (+ (* -27/2800 (* eps eps)) 9/40) eps) (- eps (tan eps)) (* (cos eps) eps) (/ (pow (sin eps) 2) (+ (sin eps) eps))) |
| 5.0ms | eps | @ | inf | ((* (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* eps eps)) (- (* 9/40 (* eps eps)) (- 1/2 (* (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* eps eps)))) (/ (- eps (sin eps)) (- eps (tan eps))) (* 9/40 (* eps eps)) (/ (- 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) eps) eps) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (* (- 1 (/ (sin eps) eps)) eps) (- 1 (/ (sin eps) eps)) (+ (* (neg eps) (/ (sin eps) (* (cos eps) eps))) eps) (/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- (* eps (/ eps (+ (sin eps) eps))) (/ (pow (sin eps) 2) (+ (sin eps) eps))) (/ (- (* eps (/ eps (+ (sin eps) eps))) (/ (pow (sin eps) 2) (+ (sin eps) eps))) (- eps (tan eps))) (* eps (/ eps (+ (sin eps) eps))) (/ eps (+ (sin eps) eps)) (* (- (* (* eps eps) 27/112000) 27/2800) eps) (* (* (- (* (* eps eps) 27/112000) 27/2800) eps) eps) (* (* eps eps) 27/112000) (* (+ (* -27/2800 (* eps eps)) 9/40) eps) (- eps (tan eps)) (* (cos eps) eps) (/ (pow (sin eps) 2) (+ (sin eps) eps))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 380 | 1591 |
| 1 | 1200 | 1453 |
| 2 | 3994 | 1423 |
| 0 | 8271 | 1372 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -27/2800 (pow eps 4)) |
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) |
-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 (pow eps 2)) |
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(* 9/40 eps) |
(* eps (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(* 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)))) |
(* 1/6 (pow eps 2)) |
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(* -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)) |
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)))) |
(* 1/2 eps) |
(* eps (+ 1/2 (* 1/24 (pow eps 2)))) |
(* eps (+ 1/2 (* (pow eps 2) (+ 1/24 (* 1/720 (pow eps 2)))))) |
(* eps (+ 1/2 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (+ 1/720 (* -1/120960 (pow eps 2)))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow eps 2))) |
(+ 1/2 (* (pow eps 2) (+ 1/24 (* 1/720 (pow eps 2))))) |
(+ 1/2 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (+ 1/720 (* -1/120960 (pow eps 2))))))) |
(* -27/2800 eps) |
(* eps (- (* 27/112000 (pow eps 2)) 27/2800)) |
(* -27/2800 (pow eps 2)) |
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)) |
(* 27/112000 (pow eps 2)) |
(* eps (+ 1 (* -1/2 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))) |
(* eps (+ 1/2 (* -1/8 (pow eps 2)))) |
(* eps (+ 1/2 (* (pow eps 2) (- (* 7/720 (pow eps 2)) 1/8)))) |
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 7/720 (* -5/24192 (pow eps 2)))) 1/8)))) |
(* 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)))))) |
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)))))) |
(* 27/112000 (pow eps 5)) |
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(+ 1 (* -1 (/ (sin eps) eps))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(sin eps) |
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))) (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* eps (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) |
(* eps (- (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps)))) |
(- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps)) |
(- (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) |
(* 27/112000 (pow eps 3)) |
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* 27/112000 (pow eps 4)) |
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* -27/2800 (pow eps 3)) |
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* eps (cos eps)) |
(/ (pow (sin eps) 2) eps) |
(/ (+ (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps) |
(/ (- (+ (/ (pow (sin eps) 4) (pow eps 2)) (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps) |
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (pow eps 3))) (pow (sin eps) 2)) (+ (* -1 (/ (pow (sin eps) 4) (pow eps 2))) (/ (pow (sin eps) 3) eps))) 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 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) (/ (* (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 (/ (+ (* -1 (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* eps (cos eps))))) eps))) eps))) |
(* -1 (* eps (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (sin eps)) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) eps) (pow (sin eps) 2)) eps)) (sin eps)) eps)) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) eps)) (* -1 (sin eps))) eps))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (* -1 (pow (sin eps) 2))) eps)) (* -1 (sin eps))) eps))) |
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2)))))) |
(* -1 (/ (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) eps) (pow (sin eps) 3)) eps)) (* -1 (pow (sin eps) 2))) eps)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) eps) (pow (sin eps) 4)) eps)) (pow (sin eps) 3)) eps)) (* -1 (pow (sin eps) 2))) eps)) |
| Outputs |
|---|
(* -27/2800 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) |
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(-.f64 (*.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) |
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64)) |
(* 9/40 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) |
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) |
(* 9/40 eps) |
(*.f64 #s(literal 9/40 binary64) eps) |
(* eps (+ 9/40 (* -27/2800 (pow eps 2)))) |
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) |
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(* 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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* 1/6 (pow eps 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) |
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) eps) eps) |
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) eps) eps) #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps 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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)) 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 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -62/2835 binary64) (*.f64 eps eps)) #s(literal 17/315 binary64)) eps) eps) #s(literal 2/15 binary64)) (*.f64 eps eps)) #s(literal 1/3 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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* 1/2 eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(* eps (+ 1/2 (* 1/24 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps) |
(* eps (+ 1/2 (* (pow eps 2) (+ 1/24 (* 1/720 (pow eps 2)))))) |
(*.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)) eps) |
(* eps (+ 1/2 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (+ 1/720 (* -1/120960 (pow eps 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/120960 binary64) (*.f64 eps eps) #s(literal 1/720 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow eps 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow eps 2) (+ 1/24 (* 1/720 (pow eps 2))))) |
(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)) |
(+ 1/2 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (+ 1/720 (* -1/120960 (pow eps 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/120960 binary64) (*.f64 eps eps) #s(literal 1/720 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) |
(* -27/2800 eps) |
(*.f64 #s(literal -27/2800 binary64) eps) |
(* eps (- (* 27/112000 (pow eps 2)) 27/2800)) |
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) |
(* -27/2800 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) |
(* 27/112000 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) |
(* eps (+ 1 (* -1/2 (pow eps 2)))) |
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/2 binary64) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1/2 (* -1/8 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps) |
(* eps (+ 1/2 (* (pow eps 2) (- (* 7/720 (pow eps 2)) 1/8)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 7/720 binary64) (*.f64 eps eps)) #s(literal 1/8 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps) |
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 7/720 (* -5/24192 (pow eps 2)))) 1/8)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -5/24192 binary64) (*.f64 eps eps) #s(literal 7/720 binary64)) eps) eps) #s(literal 1/8 binary64)) (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) eps)) |
(* 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 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.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))) (* 1/2 (/ 1 (pow eps 6)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #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))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 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))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (*.f64 (cos.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 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (*.f64 (cos.f64 eps) eps))) |
(* 27/112000 (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 27/112000 binary64)) |
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) |
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
(sin eps) |
(sin.f64 eps) |
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow 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 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (*.f64 (cos.f64 eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))) (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps)))))) (+ (* -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 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (*.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps) #s(literal 0 binary64)) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 eps #s(literal 3 binary64)))))) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (*.f64 (cos.f64 eps) eps))) |
(* eps (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (sin.f64 eps)) eps) eps eps) |
(* eps (- (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps)) eps) (sin.f64 eps)) eps) eps eps) |
(- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) |
(- (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (/ (sin eps) eps))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) |
(* 27/112000 (pow eps 3)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 27/112000 binary64)) |
(* (pow eps 3) (- 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 3 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 (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) |
(* -27/2800 (pow eps 3)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -27/2800 binary64)) |
(* (pow eps 3) (- (* 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 3 binary64))) |
(* eps (cos eps)) |
(*.f64 (cos.f64 eps) eps) |
(/ (pow (sin eps) 2) eps) |
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) |
(/ (+ (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps) |
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps)) eps) |
(/ (- (+ (/ (pow (sin eps) 4) (pow eps 2)) (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps) |
(/.f64 (fma.f64 (sin.f64 eps) (sin.f64 eps) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) eps)) eps) |
(/ (- (+ (* -1 (/ (pow (sin eps) 5) (pow eps 3))) (pow (sin eps) 2)) (+ (* -1 (/ (pow (sin eps) 4) (pow eps 2))) (/ (pow (sin eps) 3) eps))) eps) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (neg.f64 eps)))) eps) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) (*.f64 (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 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) (*.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps))) eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4)))))) |
(*.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64)) (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))) |
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 eps) eps)) #s(literal 1 binary64))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps)))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps) #s(literal 0 binary64)) eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* eps (cos eps))))) eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps) #s(literal 0 binary64)) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps) #s(literal 0 binary64))) eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) |
(* -1 (* eps (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (sin eps)) eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps) #s(literal 1 binary64))) |
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) eps) (pow (sin eps) 2)) eps)) (sin eps)) eps)) 1))) |
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) eps) (sin.f64 eps)) eps) #s(literal 1 binary64))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) eps)) (* -1 (sin eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (* -1 (pow (sin eps) 2))) eps)) (* -1 (sin eps))) eps))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) |
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)) #s(literal 27/112000 binary64))) |
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/40 binary64) (*.f64 eps eps)) #s(literal -1 binary64) #s(literal -27/2800 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 3) eps)) eps)) |
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps)) eps) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 4) eps) (pow (sin eps) 3)) eps)) (* -1 (pow (sin eps) 2))) eps)) |
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (neg.f64 eps))) eps) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 5) eps) (pow (sin eps) 4)) eps)) (pow (sin eps) 3)) eps)) (* -1 (pow (sin eps) 2))) eps)) |
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (neg.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (neg.f64 eps))) eps) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 380 |
| 0 | 97 | 360 |
| 1 | 345 | 340 |
| 2 | 2290 | 334 |
| 0 | 8583 | 328 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)) |
(-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))))) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) |
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps))) |
#s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) |
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) |
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps))) |
(*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) |
(/.f64 eps (+.f64 (sin.f64 eps) eps)) |
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) |
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) |
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(-.f64 eps (tan.f64 eps)) |
(*.f64 (cos.f64 eps) eps) |
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps) (neg.f64 eps)) (neg.f64 eps)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 3 binary64))) eps) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps)) |
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps)) |
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(-.f64 (*.f64 (/.f64 eps (+.f64 (sin.f64 eps) eps)) (/.f64 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 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) |
(*.f64 (/.f64 (*.f64 eps eps) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (-.f64 (sin.f64 eps) eps)) |
(*.f64 (/.f64 (*.f64 eps eps) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (/.f64 eps (+.f64 (sin.f64 eps) eps)) eps) |
(*.f64 (neg.f64 eps) (/.f64 (neg.f64 eps) (+.f64 (sin.f64 eps) eps))) |
(*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 eps eps))) (neg.f64 (neg.f64 (+.f64 (sin.f64 eps) eps)))) |
(/.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 (+.f64 (sin.f64 eps) eps))) |
(/.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 (+.f64 (sin.f64 eps) eps))) |
(/.f64 (*.f64 eps (neg.f64 eps)) (neg.f64 (+.f64 (sin.f64 eps) eps))) |
(/.f64 (*.f64 eps eps) (neg.f64 (neg.f64 (+.f64 (sin.f64 eps) eps)))) |
(/.f64 (*.f64 eps eps) (+.f64 (sin.f64 eps) eps)) |
(*.f64 (/.f64 eps (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (-.f64 (sin.f64 eps) eps)) |
(*.f64 (/.f64 eps (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (sin.f64 eps) eps))))) |
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 (+.f64 (sin.f64 eps) eps)))) |
(/.f64 (neg.f64 eps) (neg.f64 (+.f64 (sin.f64 eps) eps))) |
(/.f64 eps (+.f64 (sin.f64 eps) eps)) |
(neg.f64 (/.f64 (neg.f64 eps) (+.f64 (sin.f64 eps) eps))) |
(neg.f64 (/.f64 eps (neg.f64 (+.f64 (sin.f64 eps) eps)))) |
(*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) |
(*.f64 eps (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64)) eps)) (neg.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64)) eps)) (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64)))) (neg.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64)))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64)))) (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64)) eps) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64)) eps) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64))) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (neg.f64 eps)) (neg.f64 eps)) |
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps) |
(*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64))) |
(*.f64 eps (*.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64)) (*.f64 eps eps))) (neg.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64)) (*.f64 eps eps))) (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64)))) (neg.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64)))) (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64)) (*.f64 eps eps)) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64)) (*.f64 eps eps)) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) |
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64))) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))) |
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 27/112000 binary64) (neg.f64 eps))) eps) |
(*.f64 (fabs.f64 (*.f64 #s(literal 27/112000 binary64) eps)) eps) |
(*.f64 (*.f64 #s(literal 27/112000 binary64) (neg.f64 eps)) (neg.f64 eps)) |
(*.f64 (*.f64 #s(literal 27/112000 binary64) eps) eps) |
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 27/112000 binary64))) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) |
(*.f64 eps (fabs.f64 (*.f64 (neg.f64 eps) #s(literal 27/112000 binary64)))) |
(*.f64 eps (fabs.f64 (*.f64 #s(literal 27/112000 binary64) eps))) |
(*.f64 eps (*.f64 #s(literal 27/112000 binary64) eps)) |
(sqrt.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)))) |
(fabs.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))) |
(*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) |
(*.f64 eps (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 729/7840000 binary64)) #s(literal 81/1600 binary64)) eps)) (neg.f64 (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)) eps)) (neg.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 729/7840000 binary64) (-.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) #s(literal -243/112000 binary64)))))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 729/7840000 binary64)) #s(literal 81/1600 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)))) (neg.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 729/7840000 binary64) (-.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) #s(literal -243/112000 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 729/7840000 binary64)) #s(literal 81/1600 binary64)) eps) (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)) eps) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 729/7840000 binary64) (-.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) #s(literal -243/112000 binary64))))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 729/7840000 binary64)) #s(literal 81/1600 binary64))) (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64))) |
(/.f64 (*.f64 eps (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 729/7840000 binary64) (-.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) #s(literal -243/112000 binary64))))) |
(fma.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal 9/40 binary64) eps)) |
(fma.f64 #s(literal 9/40 binary64) eps (*.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) eps)) |
(fma.f64 #s(literal 9/40 binary64) eps (*.f64 eps (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))) |
(fma.f64 eps (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) (*.f64 #s(literal 9/40 binary64) eps)) |
(fma.f64 eps #s(literal 9/40 binary64) (*.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) eps)) |
(fma.f64 eps #s(literal 9/40 binary64) (*.f64 eps (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))) |
(+.f64 (*.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 9/40 binary64) eps)) |
(+.f64 (*.f64 eps (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (*.f64 #s(literal 9/40 binary64) eps)) |
(+.f64 (*.f64 #s(literal 9/40 binary64) eps) (*.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) eps)) |
(+.f64 (*.f64 #s(literal 9/40 binary64) eps) (*.f64 eps (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (+.f64 (tan.f64 eps) eps)) (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 eps) eps) (+.f64 (tan.f64 eps) eps))) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))) (*.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (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)))) (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.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) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))) |
(-.f64 (/.f64 (*.f64 eps 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 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps)))) |
(-.f64 eps (tan.f64 eps)) |
(*.f64 (cos.f64 eps) eps) |
(*.f64 eps (cos.f64 eps)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (-.f64 (sin.f64 eps) eps)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (sin.f64 eps) eps))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (sin.f64 eps) eps)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (neg.f64 (+.f64 (sin.f64 eps) eps))) |
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps))) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 (sin.f64 eps) eps)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 eps) eps)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))) (+.f64 (sin.f64 eps) eps))) |
Compiled 22 104 to 2 544 computations (88.5% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 559 | 1 | 560 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 559 | 11 | 570 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 1.7% | (/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (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)))) |
| ✓ | 3.2% | (/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps))) |
| ✓ | 2.5% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ✓ | 1.7% | (/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))) |
| ✓ | 1.8% | (/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps))) |
| 1.8% | (*.f64 (/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps)) | |
| ✓ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
| ✓ | 99.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
| ✓ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))) |
| ✓ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))))) |
| ✓ | 98.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 712 to 270 computations (62.1% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps) (*.f64 eps eps))))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) eps)) eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps)) |
(/.f64 (-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) eps) (*.f64 (sin.f64 eps) (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)))) |
(fma.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 eps (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (neg.f64 (/.f64 (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)))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
2 calls:
| 25.0ms | eps |
| 4.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.9% | 1 | 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))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal -27/2800 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) 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 |
|---|---|---|
| 99.7% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.7% | 1 | 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))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.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 |
|---|---|---|
| 99.5% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 99.5% | 1 | 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 |
|---|---|---|
| 98.9% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 98.9% | 1 | eps |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 94 |
| 1 | 60 | 94 |
| 2 | 123 | 94 |
| 3 | 258 | 94 |
| 4 | 503 | 94 |
| 5 | 708 | 94 |
| 6 | 826 | 94 |
| 7 | 1114 | 94 |
| 8 | 2100 | 94 |
| 9 | 7724 | 94 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.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))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 #s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) eps) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.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 | 435 | 1706 |
| 1 | 1347 | 1603 |
| 2 | 4929 | 1566 |
| 0 | 8175 | 1523 |
| 0 | 148 | 475 |
| 1 | 428 | 433 |
| 2 | 1443 | 405 |
| 3 | 7531 | 405 |
| 0 | 8354 | 389 |
| 0 | 389 | 1717 |
| 1 | 1264 | 1624 |
| 2 | 4594 | 1577 |
| 0 | 8859 | 1529 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 94 to 39 computations (58.5% saved)
Compiled 220 to 102 computations (53.6% saved)
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