
Time bar (total: 14.7s)
| 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)
| 6.5s | 4 511× | 2 | valid |
| 1.2s | 1 178× | 3 | valid |
| 796.0ms | 2 437× | 1 | valid |
| 12.0ms | 130× | 0 | valid |
ival-tan: 4.6s (56.6% of total)ival-sin: 2.4s (29.7% of total)adjust: 344.0ms (4.3% of total)ival-sub: 272.0ms (3.4% of total)const: 255.0ms (3.2% of total)ival-div: 153.0ms (1.9% of total)ival-<=: 67.0ms (0.8% of total)ival-and: 13.0ms (0.2% of total)ival-assert: 3.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 174 | 0 | - | 3 | (2.6650285968080847e-108) | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 83 | 2 | (2.6650285968080847e-108) | 0 | - | (-.f64 eps (tan.f64 eps)) |
| 83 | 2 | (2.6650285968080847e-108) | 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 | 171 | 0 |
| ↳ | (-.f64 eps (sin.f64 eps)) | underflow | 171 | |
| ↳ | (-.f64 eps (tan.f64 eps)) | underflow | 171 | |
-.f64 | (-.f64 eps (sin.f64 eps)) | cancellation | 85 | 0 |
-.f64 | (-.f64 eps (tan.f64 eps)) | cancellation | 85 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 171 |
| 2 | 85 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 475.0ms | 290× | 2 | valid |
| 125.0ms | 72× | 3 | valid |
| 29.0ms | 146× | 1 | valid |
| 2.0ms | 4× | 0 | valid |
Compiled 57 to 22 computations (61.4% saved)
ival-tan: 410.0ms (67.8% of total)ival-sin: 131.0ms (21.7% of total)ival-sub: 39.0ms (6.4% of total)adjust: 18.0ms (3% of total)ival-div: 6.0ms (1% of total)ival-true: 1.0ms (0.2% of total)ival-assert: 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 |
|---|---|---|
| ▶ | 0.5% | (/.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 | 18.92266751086546 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 18.92561292115503 | (-.f64 eps (tan.f64 eps)) | |
| accuracy | 42.761337315460025 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 254.0ms | 145× | 2 | valid |
| 24.0ms | 36× | 3 | valid |
| 14.0ms | 73× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 24 to 8 computations (66.7% saved)
ival-tan: 188.0ms (67.2% of total)ival-sin: 71.0ms (25.4% of total)adjust: 10.0ms (3.6% of total)ival-sub: 7.0ms (2.5% of total)ival-div: 3.0ms (1.1% 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)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 193 | 3 | 196 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 194 | 3 | 197 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | #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)))) |
| ▶ | 100.0% | #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))) #s(literal -1/2 binary64)) |
Compiled 50 to 36 computations (28% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (*.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 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 104 |
| 0 | 25 | 104 |
| 1 | 42 | 104 |
| 2 | 88 | 104 |
| 3 | 182 | 104 |
| 4 | 278 | 104 |
| 5 | 330 | 104 |
| 6 | 409 | 104 |
| 7 | 634 | 104 |
| 8 | 1255 | 104 |
| 9 | 2499 | 104 |
| 10 | 5511 | 104 |
| 11 | 7777 | 104 |
| 0 | 8031 | 104 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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))) (-.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))) (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) |
| Outputs |
|---|
#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))) (-.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))) (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) |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 0.0 | #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)))) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 eps eps) #s(literal 9/40 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 | 0.00390625 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| accuracy | 0.20387766279602204 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
| 311.0ms | 145× | 2 | valid |
| 30.0ms | 36× | 3 | valid |
| 24.0ms | 73× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 84 to 19 computations (77.4% saved)
ival-tan: 153.0ms (44.7% of total)ival-sin: 108.0ms (31.5% of total)adjust: 18.0ms (5.3% of total)ival-add: 18.0ms (5.3% of total)exact: 17.0ms (5% of total)ival-sub: 9.0ms (2.6% of total)const: 7.0ms (2% of total)ival-mult: 5.0ms (1.5% of total)ival-pow: 4.0ms (1.2% of total)ival-div: 3.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 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))) |
(-.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(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)) |
| 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) |
(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)))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 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))))) |
(+ 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))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (pow eps 4)) |
| 1.0ms | eps | @ | 0 | ((/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (pow eps 4)) |
| 1.0ms | eps | @ | -inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (pow eps 4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 328 |
| 1 | 271 | 294 |
| 2 | 900 | 266 |
| 3 | 4907 | 266 |
| 0 | 8143 | 258 |
| 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) |
(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)))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 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))))) |
(+ 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))) |
| 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) |
(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))) |
(* 9/40 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 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))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) eps) eps)) (*.f64 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))) |
(+ 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 80 |
| 0 | 25 | 80 |
| 1 | 102 | 80 |
| 2 | 764 | 80 |
| 0 | 8408 | 80 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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))) |
(-.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(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)) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64)))) (/.f64 (*.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64)))))) (+.f64 (/.f64 (*.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))) |
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(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps #s(literal -27/2800 binary64)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) #s(literal -27/2800 binary64)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 9/40 binary64)) (-.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 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))) |
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) (-.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) (-.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -27/2800 binary64)) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(fma.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))) (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(fma.f64 eps (fabs.f64 (*.f64 (neg.f64 eps) #s(literal 9/40 binary64))) (-.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 eps (fabs.f64 (*.f64 #s(literal 9/40 binary64) eps)) (-.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 eps (*.f64 #s(literal 9/40 binary64) eps) (-.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(-.f64 (fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) #s(literal 2 binary64)) (fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal 729/7840000 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 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 #s(literal 27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64)))) (-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 9/80 binary64) (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 8 binary64))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 (fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal -9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(-.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 #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 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 12 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 12 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 729/7840000 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 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))))))) (/.f64 (*.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 12 binary64))) (fma.f64 #s(literal 729/7840000 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 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)))))))) |
(+.f64 (/.f64 (*.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 12 binary64))) (fma.f64 #s(literal 729/7840000 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 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))))))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 729/7840000 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 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)))))))) |
(+.f64 (/.f64 (*.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 8 binary64))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 (*.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))) |
(+.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 eps (pow.f64 eps #s(literal 3/2 binary64))) (pow.f64 eps #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (neg.f64 eps)) |
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (*.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps)) |
(*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 eps) eps)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) eps) |
(*.f64 (neg.f64 eps) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 eps (pow.f64 eps #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 eps)) |
(pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 eps) #s(literal 4 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))))))) |
(neg.f64 (neg.f64 (pow.f64 eps #s(literal 4 binary64)))) |
(fabs.f64 (pow.f64 eps #s(literal 4 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64)))) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) |
Compiled 7 647 to 730 computations (90.5% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 1 | 203 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 0 | 0 |
| Total | 203 | 3 | 206 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | #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)))) |
| ✓ | 100.0% | #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))) #s(literal -1/2 binary64)) |
Compiled 54 to 35 computations (35.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (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))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 4 | (*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 68 |
| 0 | 21 | 68 |
| 1 | 48 | 60 |
| 2 | 161 | 56 |
| 3 | 665 | 56 |
| 4 | 1435 | 56 |
| 5 | 1724 | 56 |
| 6 | 1834 | 56 |
| 7 | 2082 | 56 |
| 8 | 2708 | 56 |
| 9 | 3931 | 56 |
| 10 | 6958 | 56 |
| 0 | 8030 | 56 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)))) |
(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))) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 eps 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) |
| Outputs |
|---|
#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))) (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 (*.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))) |
(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))) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(pow.f64 eps #s(literal 4 binary64)) |
(*.f64 eps 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) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 eps eps) | |
| accuracy | 0.0 | #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)))) | |
| accuracy | 0.125 | (*.f64 (*.f64 eps eps) (*.f64 eps eps)) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
| 250.0ms | 145× | 2 | valid |
| 28.0ms | 36× | 3 | valid |
| 27.0ms | 73× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 54 to 17 computations (68.5% saved)
ival-tan: 153.0ms (52.9% of total)ival-sin: 70.0ms (24.2% of total)adjust: 36.0ms (12.4% of total)ival-sub: 12.0ms (4.1% of total)const: 7.0ms (2.4% of total)ival-mult: 6.0ms (2.1% of total)ival-div: 3.0ms (1% of total)ival-add: 2.0ms (0.7% 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 eps eps) (*.f64 eps eps)) |
#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)))) |
(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))) |
(*.f64 eps eps) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
| Outputs |
|---|
(pow eps 4) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(pow eps 2) |
(* 9/40 (pow eps 2)) |
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)))))) |
(* -27/2800 (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))))) |
(+ 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))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | ((* (* eps eps) (* eps eps)) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* (* eps eps) (* eps eps)) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (* eps eps) (* (* eps eps) 9/40)) |
| 1.0ms | eps | @ | -inf | ((* (* eps eps) (* eps eps)) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* (* eps eps) (* eps eps)) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (* eps eps) (* (* eps eps) 9/40)) |
| 1.0ms | eps | @ | 0 | ((* (* eps eps) (* eps eps)) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* (* eps eps) (* eps eps)) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (* eps eps) (* (* eps eps) 9/40)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 317 |
| 1 | 261 | 283 |
| 2 | 871 | 255 |
| 3 | 4774 | 255 |
| 0 | 8616 | 247 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 4) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(pow eps 2) |
(* 9/40 (pow eps 2)) |
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)))))) |
(* -27/2800 (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))))) |
(+ 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))) |
| Outputs |
|---|
(pow eps 4) |
(pow.f64 eps #s(literal 4 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) |
(fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 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 (-.f64 (*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
(pow eps 2) |
(*.f64 eps eps) |
(* 9/40 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 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))) |
(* -27/2800 (pow eps 4)) |
(*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 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))) |
(+ 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))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 57 |
| 0 | 21 | 51 |
| 1 | 104 | 45 |
| 2 | 818 | 45 |
| 0 | 9171 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
#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)))) |
(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))) |
(*.f64 eps eps) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 eps (pow.f64 eps #s(literal 3/2 binary64))) (pow.f64 eps #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (neg.f64 eps)) |
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (*.f64 (pow.f64 eps #s(literal 3/2 binary64)) eps)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) eps) |
(*.f64 (neg.f64 eps) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) |
(*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 eps) eps)) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 eps (pow.f64 eps #s(literal 3 binary64))) |
(pow.f64 (neg.f64 eps) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
(neg.f64 (neg.f64 (pow.f64 eps #s(literal 4 binary64)))) |
(sqrt.f64 (pow.f64 eps #s(literal 8 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 eps #s(literal 4 binary64)))) |
(fabs.f64 (pow.f64 eps #s(literal 4 binary64))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 eps) eps)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 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)))) |
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(/.f64 (-.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)))))) (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
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(+.f64 (/.f64 (*.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 12 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 729/7840000 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 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))))))) (/.f64 (*.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 12 binary64))) (fma.f64 #s(literal 729/7840000 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 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)))))))) |
(+.f64 (/.f64 (*.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 12 binary64))) (fma.f64 #s(literal 729/7840000 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 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))))))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 729/7840000 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 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)))))))) |
(+.f64 (/.f64 (*.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 8 binary64))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 (*.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))) |
(+.f64 (-.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (sqrt.f64 (neg.f64 eps))) |
(*.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 eps) eps)) (sqrt.f64 (*.f64 (neg.f64 eps) eps))) |
(*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (sqrt.f64 eps)) |
(*.f64 (sqrt.f64 eps) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps))) |
(*.f64 (neg.f64 eps) (neg.f64 eps)) |
(*.f64 eps eps) |
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 eps) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(pow.f64 eps #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 eps) eps)) |
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 eps) eps)) |
(fabs.f64 (*.f64 eps eps)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 (*.f64 (neg.f64 eps) #s(literal 9/40 binary64))) eps) |
(*.f64 (fabs.f64 (*.f64 #s(literal 9/40 binary64) eps)) eps) |
(*.f64 (*.f64 (neg.f64 eps) #s(literal 9/40 binary64)) (neg.f64 eps)) |
(*.f64 (*.f64 #s(literal 9/40 binary64) eps) eps) |
(*.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 9/40 binary64))) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(*.f64 eps (fabs.f64 (*.f64 (neg.f64 eps) #s(literal 9/40 binary64)))) |
(*.f64 eps (fabs.f64 (*.f64 #s(literal 9/40 binary64) eps))) |
(*.f64 eps (*.f64 #s(literal 9/40 binary64) eps)) |
(neg.f64 (*.f64 #s(literal -9/40 binary64) (*.f64 eps eps))) |
(sqrt.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(fabs.f64 (*.f64 #s(literal -9/40 binary64) (*.f64 eps eps))) |
(fabs.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) |
Compiled 7 237 to 791 computations (89.1% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 201 | 0 | 201 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 201 | 3 | 204 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | #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)))) |
| ✓ | 100.0% | #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))) #s(literal -1/2 binary64)) |
Compiled 139 to 62 computations (55.4% 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))) (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))) (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 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Outputs |
|---|
#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)))) |
2 calls:
| 33.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 100.0% | 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 |
|---|---|---|
| 100.0% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 100.0% | 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 |
|---|---|---|
| 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)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 54 |
| 1 | 26 | 54 |
| 2 | 34 | 54 |
| 3 | 40 | 54 |
| 4 | 49 | 54 |
| 5 | 69 | 54 |
| 6 | 118 | 54 |
| 7 | 260 | 54 |
| 8 | 783 | 54 |
| 9 | 4015 | 54 |
| 1× | node limit |
| Inputs |
|---|
#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 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.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 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 | 19 | 80 |
| 0 | 25 | 80 |
| 1 | 102 | 80 |
| 2 | 764 | 80 |
| 0 | 8408 | 80 |
| 0 | 148 | 475 |
| 1 | 428 | 433 |
| 2 | 1443 | 405 |
| 3 | 7531 | 405 |
| 0 | 8354 | 389 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 96 to 52 computations (45.8% saved)
Compiled 140 to 60 computations (57.1% saved)
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