
Time bar (total: 16.1s)
| 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)
| 7.1s | 4 534× | 2 | valid |
| 1.7s | 1 210× | 3 | valid |
| 1.0s | 2 377× | 1 | valid |
| 13.0ms | 135× | 0 | valid |
ival-tan: 5.4s (57.6% of total)ival-sin: 2.4s (25.5% of total)ival-sub: 431.0ms (4.6% of total)ival-div: 404.0ms (4.3% of total)adjust: 397.0ms (4.2% of total)const: 277.0ms (2.9% of total)ival-<=: 65.0ms (0.7% of total)ival-and: 13.0ms (0.1% of total)ival-assert: 4.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 157 | 0 | - | 1 | (-5.1329913629047e-105) | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 100 | 0 | - | 1 | (-0.2046100116737975) | (-.f64 eps (tan.f64 eps)) |
| 99 | 1 | (-0.2046100116737975) | 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 | 156 | 0 |
| ↳ | (-.f64 eps (sin.f64 eps)) | underflow | 156 | |
| ↳ | (-.f64 eps (tan.f64 eps)) | underflow | 156 | |
-.f64 | (-.f64 eps (sin.f64 eps)) | cancellation | 100 | 0 |
-.f64 | (-.f64 eps (tan.f64 eps)) | cancellation | 99 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 157 |
| 2 | 99 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 340.0ms | 260× | 2 | valid |
| 53.0ms | 70× | 3 | valid |
| 34.0ms | 166× | 1 | valid |
| 1.0ms | 16× | 0 | valid |
Compiled 79 to 28 computations (64.6% saved)
ival-tan: 241.0ms (60.6% of total)ival-sin: 119.0ms (29.9% of total)adjust: 16.0ms (4% of total)ival-sub: 15.0ms (3.8% of total)ival-div: 7.0ms (1.8% of total)ival-true: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 29 | 23 |
| 2 | 78 | 18 |
| 3 | 238 | 18 |
| 4 | 504 | 18 |
| 5 | 693 | 18 |
| 6 | 710 | 18 |
| 7 | 748 | 18 |
| 8 | 777 | 18 |
| 0 | 6 | 9 |
| 0 | 11 | 9 |
| 1 | 18 | 9 |
| 2 | 28 | 9 |
| 3 | 45 | 9 |
| 4 | 79 | 9 |
| 5 | 153 | 9 |
| 6 | 328 | 9 |
| 7 | 645 | 9 |
| 8 | 983 | 9 |
| 9 | 998 | 9 |
| 10 | 999 | 9 |
| 0 | 999 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Outputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(abs eps)
Compiled 9 to 6 computations (33.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 2.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 eps (tan.f64 eps)) | |
| cost-diff | 0 | (sin.f64 eps) | |
| cost-diff | 0 | (-.f64 eps (sin.f64 eps)) | |
| cost-diff | 0 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 22 |
| 0 | 11 | 22 |
| 1 | 18 | 22 |
| 2 | 28 | 22 |
| 3 | 45 | 22 |
| 4 | 79 | 22 |
| 5 | 153 | 22 |
| 6 | 328 | 22 |
| 7 | 645 | 22 |
| 8 | 983 | 22 |
| 9 | 998 | 22 |
| 10 | 999 | 22 |
| 0 | 999 | 22 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
| Outputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 eps) | |
| accuracy | 21.60125017906823 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 21.606432093216064 | (-.f64 eps (tan.f64 eps)) | |
| accuracy | 38.83196810579608 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 147.0ms | 130× | 2 | valid |
| 28.0ms | 35× | 3 | valid |
| 16.0ms | 83× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 46 to 14 computations (69.6% saved)
ival-tan: 100.0ms (56.5% of total)ival-sin: 52.0ms (29.4% of total)ival-div: 10.0ms (5.6% of total)adjust: 8.0ms (4.5% of total)ival-sub: 7.0ms (4% 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 | 465 |
| 1 | 422 | 433 |
| 2 | 1323 | 408 |
| 3 | 5663 | 369 |
| 0 | 8263 | 341 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(sin eps) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* 1/6 (pow eps 3)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* -1/3 (pow eps 3)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(-.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)) (*.f64 eps eps)) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(fma.f64 (sin.f64 eps) #s(literal -1 binary64) eps) |
(sin eps) |
(sin.f64 eps) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64))) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(fma.f64 (sin.f64 eps) #s(literal -1 binary64) eps) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 11 | 19 |
| 1 | 51 | 19 |
| 2 | 409 | 19 |
| 3 | 5978 | 19 |
| 0 | 8306 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (sin.f64 eps))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (-.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps))) (neg.f64 (+.f64 (tan.f64 eps) eps))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps))) |
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) #s(literal 1 binary64)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (sin.f64 eps) eps))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps)) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
(*.f64 (pow.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 eps (sin.f64 eps)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (-.f64 eps (sin.f64 eps)))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -2 binary64))) (pow.f64 (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
(*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (-.f64 eps (sin.f64 eps))) |
(*.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))) |
(*.f64 (+.f64 (sin.f64 eps) eps) (/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (-.f64 eps (tan.f64 eps)))) |
(*.f64 (+.f64 (tan.f64 eps) eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps))) |
(*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (-.f64 eps (tan.f64 eps)))) |
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) |
(*.f64 (-.f64 (sin.f64 eps) eps) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)) |
(*.f64 (-.f64 eps (sin.f64 eps)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (fma.f64 (-.f64 eps (tan.f64 eps)) eps (*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) |
(/.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) |
(/.f64 (/.f64 (-.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (-.f64 eps (tan.f64 eps))) |
(/.f64 (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (+.f64 (sin.f64 eps) eps)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) |
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (neg.f64 (+.f64 (sin.f64 eps) eps))) |
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(/.f64 (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) (neg.f64 (+.f64 (sin.f64 eps) eps))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps))) |
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)))) |
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (-.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64)))) |
(/.f64 (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (sin.f64 eps) eps))) (neg.f64 (+.f64 (sin.f64 eps) eps))) |
(/.f64 (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
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(/.f64 (-.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (tan.f64 eps) #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (+.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (*.f64 (+.f64 (tan.f64 eps) eps) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 eps) eps)))) |
(/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) (neg.f64 (+.f64 (tan.f64 eps) eps))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps)))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (tan.f64 eps) (tan.f64 eps) (-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (tan.f64 eps)) eps)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
(/.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(/.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64)) |
(neg.f64 (-.f64 (tan.f64 eps) eps)) |
(fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) |
(fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) |
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (-.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 #s(literal -1 binary64) (tan.f64 eps) eps) |
(fma.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) eps) |
(fma.f64 (*.f64 eps eps) (/.f64 eps (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps eps) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) |
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps) |
(fma.f64 (sin.f64 eps) (neg.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64))) eps) |
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) |
(fma.f64 eps (/.f64 (*.f64 eps eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) |
(-.f64 (+.f64 eps #s(literal 0 binary64)) (tan.f64 eps)) |
(-.f64 (/.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 1 binary64))) |
(-.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (tan.f64 eps) #s(literal 1 binary64))) |
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (tan.f64 eps) eps)) |
(-.f64 eps (tan.f64 eps)) |
(+.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (tan.f64 eps))) |
(+.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(+.f64 (neg.f64 (tan.f64 eps)) eps) |
(+.f64 eps (neg.f64 (tan.f64 eps))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
Compiled 11 420 to 1 220 computations (89.3% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 437 | 5 | 442 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 437 | 6 | 443 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 2.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
| ✓ | 2.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ▶ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ▶ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ▶ | 99.1% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ▶ | 98.2% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 185 to 118 computations (36.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 eps (sin.f64 eps)) | |
| cost-diff | 0 | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) | |
| cost-diff | 192 | (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) | |
| cost-diff | 5888 | (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 193 |
| 0 | 50 | 193 |
| 1 | 91 | 190 |
| 2 | 148 | 190 |
| 3 | 298 | 188 |
| 4 | 606 | 188 |
| 5 | 1040 | 188 |
| 6 | 1640 | 188 |
| 7 | 2250 | 188 |
| 8 | 4392 | 188 |
| 9 | 5521 | 188 |
| 10 | 6041 | 188 |
| 11 | 6129 | 188 |
| 12 | 6160 | 188 |
| 13 | 6176 | 188 |
| 14 | 6199 | 188 |
| 15 | 6307 | 188 |
| 16 | 6319 | 188 |
| 17 | 6319 | 188 |
| 18 | 6319 | 188 |
| 19 | 6319 | 188 |
| 20 | 6319 | 188 |
| 21 | 6325 | 188 |
| 0 | 6325 | 188 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(literal -27/2800 binary64) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) |
(pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) |
(neg.f64 (cos.f64 eps)) |
(cos.f64 eps) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(literal -27/2800 binary64) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(neg.f64 (cos.f64 eps)) |
(cos.f64 eps) |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) | |
| accuracy | 21.60125017906823 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 21.615933849686968 | (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) | |
| accuracy | 38.83196810579608 | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) | |
| accuracy | 0.0 | (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 eps eps) | |
| accuracy | 0.015625 | (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| accuracy | 0.21679849339343904 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) | |
| accuracy | 0.0 | (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 eps eps) | |
| accuracy | 0.6048908012504087 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) | |
| accuracy | 1.1834808074218355 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 eps eps) | |
| accuracy | 0.0078125 | (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) | |
| accuracy | 0.0663091947393752 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| 299.0ms | 129× | 2 | valid |
| 106.0ms | 84× | 1 | valid |
| 54.0ms | 35× | 3 | valid |
| 2.0ms | 8× | 0 | valid |
Compiled 362 to 61 computations (83.1% saved)
ival-sin: 128.0ms (32.2% of total)ival-tan: 91.0ms (22.9% of total)adjust: 58.0ms (14.6% of total)ival-cos: 32.0ms (8% of total)ival-mult: 22.0ms (5.5% of total)ival-pow: 17.0ms (4.3% of total)const: 17.0ms (4.3% of total)ival-add: 16.0ms (4% of total)ival-sub: 7.0ms (1.8% of total)ival-div: 6.0ms (1.5% of total)ival-neg: 3.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
(-.f64 eps (sin.f64 eps)) |
| Outputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
9/40 |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
-27/2800 |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(pow eps 2) |
-1 |
(- (* -1/2 (pow eps 2)) 1) |
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* 27/112000 (pow eps 6)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(* 27/112000 (pow eps 4)) |
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* 27/112000 (pow eps 2)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* 9/40 (pow eps 2)) |
(* (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))))) |
(* -27/2800 (pow eps 2)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(/ -1 (cos eps)) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | eps | @ | -inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (pow (neg (cos eps)) -1) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps) (/ (- eps (sin eps)) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps)) (- eps (sin eps))) |
| 3.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (pow (neg (cos eps)) -1) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps) (/ (- eps (sin eps)) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps)) (- eps (sin eps))) |
| 2.0ms | eps | @ | 0 | ((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (pow (neg (cos eps)) -1) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps) (/ (- eps (sin eps)) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps)) (- eps (sin eps))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 754 |
| 1 | 536 | 722 |
| 2 | 1702 | 683 |
| 3 | 6911 | 655 |
| 0 | 8316 | 626 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
9/40 |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
-27/2800 |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(pow eps 2) |
-1 |
(- (* -1/2 (pow eps 2)) 1) |
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* 27/112000 (pow eps 6)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(* 27/112000 (pow eps 4)) |
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* 27/112000 (pow eps 2)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* 9/40 (pow eps 2)) |
(* (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))))) |
(* -27/2800 (pow eps 2)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(/ -1 (cos eps)) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
9/40 |
#s(literal 9/40 binary64) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
-27/2800 |
#s(literal -27/2800 binary64) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(pow eps 2) |
(*.f64 eps eps) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 (pow eps 2)) 1) |
(fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1) |
(fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 eps eps) #s(literal -5/24 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) |
(* -1/3 (pow eps 3)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* 1/6 (pow eps 3)) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
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 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (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 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps))) |
(* 27/112000 (pow eps 6)) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64))) |
(* 27/112000 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 27/112000 binary64)) |
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps)))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64))) |
(* 27/112000 (pow eps 2)) |
(*.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps) |
(* 9/40 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps) |
(* -27/2800 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64))) |
(* -27/2800 (pow eps 2)) |
(*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps) |
(/ -1 (cos eps)) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 (sin.f64 eps) (neg.f64 eps)) eps) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 (sin.f64 eps) (neg.f64 eps)) eps) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 165 |
| 0 | 50 | 165 |
| 1 | 217 | 154 |
| 2 | 1630 | 154 |
| 0 | 8497 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
(-.f64 eps (sin.f64 eps)) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64))))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64))))))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
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(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (neg.f64 (sin.f64 eps))))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64)))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) eps (sin.f64 eps))) |
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 eps) eps) |
(fma.f64 (*.f64 eps eps) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) |
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) eps (sin.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
(+.f64 (/.f64 (*.f64 eps eps) (+.f64 (sin.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) |
(+.f64 (neg.f64 (sin.f64 eps)) eps) |
(+.f64 eps (neg.f64 (sin.f64 eps))) |
Compiled 17 399 to 1 941 computations (88.8% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 533 | 2 | 535 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 534 | 7 | 541 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 3.0% | (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
| ▶ | 2.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
| ✓ | 2.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ✓ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.1% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ✓ | 98.2% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 138 to 79 computations (42.8% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 192 | (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) | |
| cost-diff | 384 | (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) | |
| cost-diff | 5888 | (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) | |
| cost-diff | 20480 | (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) | |
| cost-diff | 0 | (sin.f64 eps) | |
| cost-diff | 0 | (-.f64 eps (sin.f64 eps)) | |
| cost-diff | 0 | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 200 |
| 0 | 45 | 198 |
| 1 | 83 | 197 |
| 2 | 158 | 193 |
| 3 | 353 | 189 |
| 4 | 829 | 171 |
| 5 | 1802 | 169 |
| 6 | 3610 | 167 |
| 7 | 6094 | 167 |
| 0 | 8196 | 167 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
#s(literal -1 binary64) |
(cos.f64 eps) |
(/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) |
(pow.f64 eps #s(literal 3 binary64)) |
eps |
#s(literal 3 binary64) |
(pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) |
(sin.f64 eps) |
(+.f64 (sin.f64 eps) eps) |
(*.f64 eps eps) |
#s(literal -1 binary64) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)))) |
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) |
(pow.f64 (sin.f64 eps) #s(literal 3 binary64)) |
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) |
(pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) |
(neg.f64 (cos.f64 eps)) |
(cos.f64 eps) |
| Outputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
#s(literal -1 binary64) |
(cos.f64 eps) |
(/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) |
(/.f64 (-.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))) |
(pow.f64 eps #s(literal 3 binary64)) |
eps |
#s(literal 3 binary64) |
(pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) |
(fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) |
(sin.f64 eps) |
(+.f64 (sin.f64 eps) eps) |
(*.f64 eps eps) |
#s(literal -1 binary64) |
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)))) |
(/.f64 (pow.f64 (neg.f64 (sin.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 (sin.f64 eps) (+.f64 (sin.f64 eps) 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))) |
(pow.f64 (sin.f64 eps) #s(literal 3 binary64)) |
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(neg.f64 (cos.f64 eps)) |
(cos.f64 eps) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 21.615933849686968 | (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) | |
| accuracy | 38.4663191759563 | (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) | |
| accuracy | 38.83196810579608 | (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) | |
| accuracy | 60.44669781764118 | (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) | |
| accuracy | 0.00390625 | (/.f64 #s(literal -1 binary64) (cos.f64 eps)) | |
| accuracy | 21.60125017906823 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 21.615933849686968 | (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) | |
| accuracy | 38.83196810579608 | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
| 218.0ms | 130× | 2 | valid |
| 78.0ms | 83× | 1 | valid |
| 61.0ms | 35× | 3 | valid |
| 2.0ms | 8× | 0 | valid |
Compiled 416 to 50 computations (88% saved)
ival-sin: 78.0ms (23.8% of total)ival-cos: 68.0ms (20.7% of total)ival-pow: 53.0ms (16.1% of total)ival-add: 41.0ms (12.5% of total)adjust: 40.0ms (12.2% of total)ival-mult: 21.0ms (6.4% of total)ival-div: 16.0ms (4.9% of total)ival-neg: 6.0ms (1.8% of total)ival-sub: 5.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) |
(pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) |
| Outputs |
|---|
(* -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)) |
-1/2 |
(- (* 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 |
(- (* -1/2 (pow eps 2)) 1) |
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1) |
(* 1/3 eps) |
(* eps (+ 1/3 (* -1/9 (pow eps 2)))) |
(* eps (+ 1/3 (* (pow eps 2) (- (* 19/1620 (pow eps 2)) 1/9)))) |
(* eps (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 19/1620 (* -2/8505 (pow eps 2)))) 1/9)))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
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 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps))) |
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)))) (+ (* -1 (pow (sin eps) 3)) (pow (sin eps) 3))) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))) |
(/ -1 (cos eps)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)))) (+ (* -1 (pow (sin eps) 3)) (pow (sin eps) 3))) (pow eps 3))) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps))))))) |
(/ (pow (sin eps) 3) (pow eps 2)) |
(/ (+ (* -1 (/ (pow (sin eps) 4) eps)) (pow (sin eps) 3)) (pow eps 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5)) (pow eps 2))) (pow (sin eps) 3)) (/ (pow (sin eps) 4) eps)) (pow eps 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5)))) (* -1 (pow (sin eps) 6))) (pow eps 3))) (pow (sin eps) 3)) (+ (* -1 (/ (pow (sin eps) 5) (pow eps 2))) (+ (/ (pow (sin eps) 4) eps) (/ (pow (sin eps) 5) (pow eps 2))))) (pow eps 2)) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps))) eps)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps)))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (- (+ (* -1 (- (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (sin eps) (- (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* eps (cos eps)))) eps))) eps))) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 5) eps)) (/ (pow (sin eps) 5) eps)) (* -1 (pow (sin eps) 4))) eps)) (pow (sin eps) 3)) (pow eps 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin eps) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5))) eps) (/ (pow (sin eps) 6) eps)) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5))) eps)) (* -1 (pow (sin eps) 4))) eps)) (pow (sin eps) 3)) (pow eps 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | inf | ((+ (* (/ -1 (cos eps)) (sin eps)) eps) (/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (- eps (sin eps)) (sin eps) (+ (* (pow eps 3) (pow (+ (* (sin eps) (+ (sin eps) eps)) (* eps eps)) -1)) (neg (/ (pow (sin eps) 3) (+ (* (sin eps) (+ (sin eps) eps)) (* eps eps))))) (pow (neg (cos eps)) -1) (/ (+ (* (pow eps 3) (pow (+ (* (sin eps) (+ (sin eps) eps)) (* eps eps)) -1)) (neg (/ (pow (sin eps) 3) (+ (* (sin eps) (+ (sin eps) eps)) (* eps eps))))) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps)) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps) (/ -1 (cos eps)) (/ (pow (sin eps) 3) (+ (* (sin eps) (+ (sin eps) eps)) (* eps eps)))) |
| 3.0ms | eps | @ | -inf | ((+ (* (/ -1 (cos eps)) (sin eps)) eps) (/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (- eps (sin eps)) (sin eps) (+ (* (pow eps 3) (pow (+ (* (sin eps) (+ (sin eps) eps)) (* eps eps)) -1)) (neg (/ (pow (sin eps) 3) (+ (* (sin eps) (+ (sin eps) eps)) (* eps eps))))) (pow (neg (cos eps)) -1) (/ (+ (* (pow eps 3) (pow (+ (* (sin eps) (+ (sin eps) eps)) (* eps eps)) -1)) (neg (/ (pow (sin eps) 3) (+ (* (sin eps) (+ (sin eps) eps)) (* eps eps))))) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps)) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps) (/ -1 (cos eps)) (/ (pow (sin eps) 3) (+ (* (sin eps) (+ (sin eps) eps)) (* eps eps)))) |
| 1.0ms | eps | @ | 0 | ((+ (* (/ -1 (cos eps)) (sin eps)) eps) (/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (- eps (sin eps)) (sin eps) (+ (* (pow eps 3) (pow (+ (* (sin eps) (+ (sin eps) eps)) (* eps eps)) -1)) (neg (/ (pow (sin eps) 3) (+ (* (sin eps) (+ (sin eps) eps)) (* eps eps))))) (pow (neg (cos eps)) -1) (/ (+ (* (pow eps 3) (pow (+ (* (sin eps) (+ (sin eps) eps)) (* eps eps)) -1)) (neg (/ (pow (sin eps) 3) (+ (* (sin eps) (+ (sin eps) eps)) (* eps eps))))) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps)) (+ (* (sin eps) (pow (neg (cos eps)) -1)) eps) (/ -1 (cos eps)) (/ (pow (sin eps) 3) (+ (* (sin eps) (+ (sin eps) eps)) (* eps eps)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 305 | 1022 |
| 1 | 909 | 873 |
| 2 | 3227 | 729 |
| 0 | 8171 | 692 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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)) |
-1/2 |
(- (* 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 |
(- (* -1/2 (pow eps 2)) 1) |
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1) |
(* 1/3 eps) |
(* eps (+ 1/3 (* -1/9 (pow eps 2)))) |
(* eps (+ 1/3 (* (pow eps 2) (- (* 19/1620 (pow eps 2)) 1/9)))) |
(* eps (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 19/1620 (* -2/8505 (pow eps 2)))) 1/9)))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
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 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps))) |
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)))) (+ (* -1 (pow (sin eps) 3)) (pow (sin eps) 3))) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))) |
(/ -1 (cos eps)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)))) (+ (* -1 (pow (sin eps) 3)) (pow (sin eps) 3))) (pow eps 3))) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps))))))) |
(/ (pow (sin eps) 3) (pow eps 2)) |
(/ (+ (* -1 (/ (pow (sin eps) 4) eps)) (pow (sin eps) 3)) (pow eps 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5)) (pow eps 2))) (pow (sin eps) 3)) (/ (pow (sin eps) 4) eps)) (pow eps 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5)))) (* -1 (pow (sin eps) 6))) (pow eps 3))) (pow (sin eps) 3)) (+ (* -1 (/ (pow (sin eps) 5) (pow eps 2))) (+ (/ (pow (sin eps) 4) eps) (/ (pow (sin eps) 5) (pow eps 2))))) (pow eps 2)) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps))) eps)) 1))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps)))) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (- (+ (* -1 (- (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (sin eps) (- (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* eps (cos eps)))) eps))) eps))) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 5) eps)) (/ (pow (sin eps) 5) eps)) (* -1 (pow (sin eps) 4))) eps)) (pow (sin eps) 3)) (pow eps 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin eps) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5))) eps) (/ (pow (sin eps) 6) eps)) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5))) eps)) (* -1 (pow (sin eps) 4))) eps)) (pow (sin eps) 3)) (pow eps 2)) |
| Outputs |
|---|
(* -1/3 (pow eps 3)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/3 binary64)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/15 binary64) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* 1/6 (pow eps 3)) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 (pow eps 2)) 1) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal -1 binary64)) |
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1) |
(fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 eps eps) #s(literal -5/24 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) |
(* 1/3 eps) |
(*.f64 #s(literal 1/3 binary64) eps) |
(* eps (+ 1/3 (* -1/9 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) eps) |
(* eps (+ 1/3 (* (pow eps 2) (- (* 19/1620 (pow eps 2)) 1/9)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 19/1620 binary64) (*.f64 eps eps) #s(literal -1/9 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) eps) |
(* eps (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 19/1620 (* -2/8505 (pow eps 2)))) 1/9)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/8505 binary64) (*.f64 eps eps) #s(literal 19/1620 binary64)) (*.f64 eps eps) #s(literal -1/9 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) eps) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
1 |
#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 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps))) |
(* 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 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)))) (+ (* -1 (pow (sin eps) 3)) (pow (sin eps) 3))) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(/ -1 (cos eps)) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)))) (+ (* -1 (pow (sin eps) 3)) (pow (sin eps) 3))) (pow eps 3))) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps))))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) (/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) (cos.f64 eps)) (*.f64 (cos.f64 eps) (pow.f64 eps #s(literal 3 binary64))))) |
(/ (pow (sin eps) 3) (pow eps 2)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) eps) |
(/ (+ (* -1 (/ (pow (sin eps) 4) eps)) (pow (sin eps) 3)) (pow eps 2)) |
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps)) (*.f64 eps eps)) |
(/ (- (+ (* -1 (/ (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5)) (pow eps 2))) (pow (sin eps) 3)) (/ (pow (sin eps) 4) eps)) (pow eps 2)) |
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps)) (*.f64 eps eps)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5)))) (* -1 (pow (sin eps) 6))) (pow eps 3))) (pow (sin eps) 3)) (+ (* -1 (/ (pow (sin eps) 5) (pow eps 2))) (+ (/ (pow (sin eps) 4) eps) (/ (pow (sin eps) 5) (pow eps 2))))) (pow eps 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps)) (*.f64 eps eps)) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps))) |
(+.f64 (/.f64 (fma.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) eps) #s(literal 1 binary64)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) eps)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps))) eps)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps)))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (- (+ (* -1 (- (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (/ (* (sin eps) (- (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* eps (cos eps)))) eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) eps)) eps)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 5) eps)) (/ (pow (sin eps) 5) eps)) (* -1 (pow (sin eps) 4))) eps)) (pow (sin eps) 3)) (pow eps 2)) |
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps)) (*.f64 eps eps)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin eps) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5))) eps) (/ (pow (sin eps) 6) eps)) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5))) eps)) (* -1 (pow (sin eps) 4))) eps)) (pow (sin eps) 3)) (pow eps 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps)) (*.f64 eps eps)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 134 |
| 0 | 45 | 75 |
| 1 | 198 | 75 |
| 2 | 1280 | 63 |
| 0 | 8358 | 63 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) |
(pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 eps (neg.f64 (tan.f64 eps))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (neg.f64 (tan.f64 eps)) eps)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 eps (-.f64 eps (neg.f64 (tan.f64 eps))) (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 eps eps)) (pow.f64 (-.f64 (neg.f64 (tan.f64 eps)) eps) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (-.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 eps)) eps))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (fma.f64 eps (-.f64 eps (neg.f64 (tan.f64 eps))) (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps)) |
(*.f64 (fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps))) |
(pow.f64 (pow.f64 (fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (-.f64 (neg.f64 (tan.f64 eps)) eps)) (/.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (-.f64 (neg.f64 (tan.f64 eps)) eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 (neg.f64 (tan.f64 eps)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (neg.f64 (tan.f64 eps)) eps)))) (+.f64 (/.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (-.f64 (neg.f64 (tan.f64 eps)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (neg.f64 (tan.f64 eps)) eps)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (-.f64 (neg.f64 (tan.f64 eps)) eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 eps eps) (-.f64 (neg.f64 (tan.f64 eps)) eps)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (-.f64 (neg.f64 (tan.f64 eps)) eps)) (/.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (-.f64 (neg.f64 (tan.f64 eps)) eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (neg.f64 (tan.f64 eps)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (neg.f64 (tan.f64 eps)) eps)) (*.f64 (/.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (-.f64 (neg.f64 (tan.f64 eps)) eps)) (/.f64 (*.f64 eps eps) (-.f64 (neg.f64 (tan.f64 eps)) eps)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)))) (neg.f64 (-.f64 eps (neg.f64 (tan.f64 eps))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 eps eps)))) (neg.f64 (neg.f64 (-.f64 (neg.f64 (tan.f64 eps)) eps)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps (neg.f64 (tan.f64 eps))) (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (-.f64 (neg.f64 (tan.f64 eps)) eps)) (*.f64 (-.f64 (neg.f64 (tan.f64 eps)) eps) (*.f64 eps eps))) (*.f64 (-.f64 (neg.f64 (tan.f64 eps)) eps) (-.f64 (neg.f64 (tan.f64 eps)) eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64))) (-.f64 eps (neg.f64 (tan.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 eps eps))) (neg.f64 (-.f64 (neg.f64 (tan.f64 eps)) eps))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 eps)) eps))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps (neg.f64 (tan.f64 eps))) (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (neg.f64 (tan.f64 eps)) eps)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 eps)) eps)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps (neg.f64 (tan.f64 eps))) (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (neg.f64 (tan.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (-.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (tan.f64 eps)) eps))) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps) #s(literal -1 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps))) |
(fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (neg.f64 (tan.f64 eps))) |
(fma.f64 (/.f64 (sin.f64 eps) #s(literal -1 binary64)) (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) eps) |
(fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps) |
(fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1/2 binary64)) eps) |
(fma.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) eps) |
(fma.f64 (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1/2 binary64)) (sin.f64 eps)) eps) |
(fma.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (/.f64 (sin.f64 eps) #s(literal -1 binary64)) eps) |
(fma.f64 (pow.f64 (neg.f64 (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (tan.f64 eps)) eps) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 eps eps) (-.f64 (neg.f64 (tan.f64 eps)) eps)))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 eps)) eps) |
(fma.f64 (sin.f64 eps) (/.f64 #s(literal -1 binary64) (cos.f64 eps)) eps) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
(fma.f64 #s(literal -1 binary64) (tan.f64 eps) eps) |
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 eps)) eps) |
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(*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 3 binary64)))) (/.f64 (sin.f64 eps) (pow.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 eps) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 eps) (+.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 eps)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(*.f64 (/.f64 (sin.f64 eps) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (+.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (+.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (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 -1/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.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 2 binary64)) (/.f64 (sin.f64 eps) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(*.f64 (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 -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 eps) #s(literal -3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) |
(*.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal -3 binary64))) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal -3 binary64))) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal -3 binary64))) #s(literal -2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal -3 binary64))) #s(literal -2 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (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 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal -3 binary64)))) |
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal -3 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) #s(literal -1 binary64) (*.f64 (log.f64 (sin.f64 eps)) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal -3 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 eps)) #s(literal 3 binary64) (neg.f64 (log.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))))) |
Compiled 25 789 to 1 996 computations (92.3% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 557 | 2 | 559 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 5 | 5 |
| Total | 558 | 8 | 566 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 3.0% | (/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
| ▶ | 3.1% | (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
| ✓ | 2.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
| ✓ | 2.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ✓ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.1% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ✓ | 98.2% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 198 to 107 computations (46% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) | |
| cost-diff | 6080 | (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) | |
| cost-diff | 6976 | (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) | |
| cost-diff | 13184 | (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 426 |
| 0 | 67 | 426 |
| 1 | 107 | 426 |
| 2 | 210 | 416 |
| 3 | 567 | 402 |
| 4 | 1926 | 401 |
| 5 | 6924 | 401 |
| 0 | 8358 | 399 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (/.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 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) |
(pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) |
(sin.f64 eps) |
eps |
#s(literal 3/2 binary64) |
(-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) |
(*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) |
(+.f64 (sin.f64 eps) eps) |
#s(literal 2 binary64) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) |
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) |
(pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64)) |
(fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) |
(*.f64 (neg.f64 eps) eps) |
(neg.f64 eps) |
#s(literal -1 binary64) |
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) |
(*.f64 eps eps) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(cos.f64 eps) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) |
(fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) |
(+.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
eps |
(*.f64 eps eps) |
#s(literal -1 binary64) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) |
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) |
(pow.f64 (sin.f64 eps) #s(literal 3 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(cos.f64 eps) |
| Outputs |
|---|
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (/.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 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) |
(pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) |
(sin.f64 eps) |
eps |
#s(literal 3/2 binary64) |
(-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) |
(*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) |
(+.f64 (sin.f64 eps) eps) |
#s(literal 2 binary64) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) |
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) |
(pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))) #s(literal -1 binary64)) |
(fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) |
(fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))) |
(*.f64 (neg.f64 eps) eps) |
(neg.f64 eps) |
#s(literal -1 binary64) |
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) |
(*.f64 eps eps) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(cos.f64 eps) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(/.f64 (-.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 (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.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 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)))) |
(pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) |
(fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) |
(+.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
eps |
(*.f64 eps eps) |
#s(literal -1 binary64) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) |
(neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) |
(pow.f64 (sin.f64 eps) #s(literal 3 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 #s(literal -1 binary64) (cos.f64 eps)) |
(cos.f64 eps) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 21.615933849686968 | (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) | |
| accuracy | 38.59198455044662 | (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) | |
| accuracy | 38.83196810579608 | (/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) | |
| accuracy | 60.44669781764118 | (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) | |
| accuracy | 23.816924002808047 | (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) | |
| accuracy | 38.4663191759563 | (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) | |
| accuracy | 38.83196810579608 | (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) | |
| accuracy | 60.521838941749564 | (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
| 266.0ms | 130× | 2 | valid |
| 79.0ms | 35× | 3 | valid |
| 59.0ms | 83× | 1 | valid |
| 2.0ms | 8× | 0 | valid |
Compiled 878 to 75 computations (91.5% saved)
ival-pow: 92.0ms (25.4% of total)ival-sin: 73.0ms (20.2% of total)adjust: 41.0ms (11.3% of total)ival-pow2: 35.0ms (9.7% of total)ival-cos: 31.0ms (8.6% of total)ival-div: 30.0ms (8.3% of total)ival-mult: 28.0ms (7.7% of total)ival-add: 20.0ms (5.5% of total)ival-neg: 7.0ms (1.9% of total)ival-sub: 3.0ms (0.8% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) |
(/.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 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) |
| Outputs |
|---|
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(* -1 (sqrt (pow eps 7))) |
(* (pow eps 3) (+ (* -1 (sqrt eps)) (* 1/2 (sqrt (pow eps 5))))) |
(* (pow eps 3) (+ (* -1 (sqrt eps)) (* (pow eps 2) (+ (* 1/4 (sqrt eps)) (* 1/2 (sqrt eps)))))) |
(* (pow eps 3) (+ (* -1 (sqrt eps)) (* (pow eps 2) (+ (* 1/2 (sqrt eps)) (* eps (+ (* -19/360 (sqrt (pow eps 3))) (* 1/4 (sqrt (/ 1 eps))))))))) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(/ 1/3 (pow eps 2)) |
(/ (+ 1/3 (* 1/18 (pow eps 2))) (pow eps 2)) |
(/ (+ 1/3 (* (pow eps 2) (+ 1/18 (* 11/3240 (pow eps 2))))) (pow eps 2)) |
(/ (+ 1/3 (* (pow eps 2) (+ 1/18 (* (pow eps 2) (+ 11/3240 (* -1/27216 (pow eps 2))))))) (pow eps 2)) |
(* 1/3 eps) |
(* eps (+ 1/3 (* 1/18 (pow eps 2)))) |
(* eps (+ 1/3 (* (pow eps 2) (+ 1/18 (* 11/3240 (pow eps 2)))))) |
(* eps (+ 1/3 (* (pow eps 2) (+ 1/18 (* (pow eps 2) (+ 11/3240 (* -1/27216 (pow eps 2)))))))) |
(* 1/3 (sqrt (/ 1 (pow eps 5)))) |
(/ (+ (* 2/9 (sqrt (pow eps 5))) (* 1/3 (sqrt eps))) (pow eps 3)) |
(/ (+ (* 1/3 (sqrt eps)) (* (pow eps 2) (+ (* -1/12 (sqrt eps)) (* 2/9 (sqrt eps))))) (pow eps 3)) |
(/ (+ (* 1/3 (sqrt eps)) (* (pow eps 2) (+ (* 2/9 (sqrt eps)) (* eps (+ (* -1/12 (sqrt (/ 1 eps))) (* 157/1620 (sqrt (pow eps 3)))))))) (pow eps 3)) |
(* -1/3 eps) |
(* eps (- (* 1/9 (pow eps 2)) 1/3)) |
(* eps (- (* (pow eps 2) (+ 1/9 (* -19/1620 (pow eps 2)))) 1/3)) |
(* eps (- (* (pow eps 2) (+ 1/9 (* (pow eps 2) (- (* 2/8505 (pow eps 2)) 19/1620)))) 1/3)) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps))) |
(* eps (- (+ 1 (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (pow eps 3))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))) |
(* (pow eps 2) (sqrt (pow (sin eps) 3))) |
(* (pow eps 2) (+ (sqrt (pow (sin eps) 3)) (* -1 (* (/ 1 eps) (sqrt (pow (sin eps) 5)))))) |
(* (pow eps 2) (+ (sqrt (pow (sin eps) 3)) (+ (* -1 (* (/ 1 eps) (sqrt (pow (sin eps) 5)))) (* -1 (* (/ 1 (pow eps 2)) (sqrt (pow (sin eps) 7))))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))) (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps))))))) |
(/ 1 (pow eps 2)) |
(/ (+ 1 (* -1 (/ (sin eps) eps))) (pow eps 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps)) (pow eps 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* -1 (pow (sin eps) 3))) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))) (pow eps 2)) |
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* -1 (pow (sin eps) 3))) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))) |
(* -1 (* (/ 1 (pow eps 4)) (sqrt (pow (sin eps) 3)))) |
(/ (+ (* -1 (sqrt (pow (sin eps) 3))) (* -1 (* (/ 1 (pow eps 2)) (sqrt (pow (sin eps) 7))))) (pow eps 4)) |
(/ (+ (* -2 (* (/ 1 (pow eps 3)) (sqrt (pow (sin eps) 9)))) (+ (* -1 (sqrt (pow (sin eps) 3))) (* -1 (* (/ 1 (pow eps 2)) (sqrt (pow (sin eps) 7)))))) (pow eps 4)) |
(/ (+ (* -2 (* (/ 1 (pow eps 3)) (sqrt (pow (sin eps) 9)))) (+ (* -2 (* (/ 1 (pow eps 4)) (sqrt (pow (sin eps) 11)))) (+ (* -1 (sqrt (pow (sin eps) 3))) (* -1 (* (/ 1 (pow eps 2)) (sqrt (pow (sin eps) 7))))))) (pow eps 4)) |
(* -1 (/ (pow (sin eps) 3) (pow eps 2))) |
(/ (+ (* -1 (pow (sin eps) 3)) (/ (pow (sin eps) 4) eps)) (pow eps 2)) |
(/ (+ (* -1 (/ (pow (sin eps) 5) (pow eps 2))) (+ (* -1 (pow (sin eps) 3)) (+ (/ (pow (sin eps) 4) eps) (/ (pow (sin eps) 5) (pow eps 2))))) (pow eps 2)) |
(/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5))) (pow eps 3))) (+ (* -1 (/ (pow (sin eps) 5) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 6) (pow eps 3))) (+ (* -1 (pow (sin eps) 3)) (+ (/ (pow (sin eps) 4) eps) (/ (pow (sin eps) 5) (pow eps 2))))))) (pow eps 2)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow (sin eps) 3)) (+ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (pow (sin eps) 3))) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps))) eps)) 1))) |
(* (pow eps 2) (+ (sqrt (pow (sin eps) 3)) (* -1 (/ (+ (sqrt (pow (sin eps) 5)) (* (/ 1 eps) (sqrt (pow (sin eps) 7)))) eps)))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (* -1 (/ (- (* -1 (+ (* -1 (pow (sin eps) 3)) (+ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (pow (sin eps) 3)))) (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps)))) (cos eps))) eps))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (* -1 (sin eps))) eps))) (pow eps 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps) (/ (pow (sin eps) 3) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (* -1 (sin eps))) eps))) (pow eps 2)) |
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) eps)) (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (sin eps)) eps)) 1))) |
(/ (+ (* -1 (sqrt (pow (sin eps) 3))) (+ (* -1 (* (/ 1 (pow eps 2)) (sqrt (pow (sin eps) 7)))) (* -1 (/ (+ (* 2 (sqrt (pow (sin eps) 9))) (* 2 (* (/ 1 eps) (sqrt (pow (sin eps) 11))))) (pow eps 3))))) (pow eps 4)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5)) eps)) (* -1 (pow (sin eps) 4))) eps)) (* -1 (pow (sin eps) 3))) (pow eps 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (sin eps) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5))) (pow (sin eps) 6)) eps)) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5))) eps)) (* -1 (pow (sin eps) 4))) eps)) (* -1 (pow (sin eps) 3))) (pow eps 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | eps | @ | 0 | ((+ (* (/ (pow (sin eps) 3/2) (- (pow (* (+ (sin eps) eps) (sin eps)) 2) (pow eps 4))) (/ (neg (pow (sin eps) 3/2)) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* (neg eps) eps)) -1))) (/ (pow eps 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)))) (/ (neg (pow (sin eps) 3/2)) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* (neg eps) eps)) -1)) (+ (* (/ -1 (cos eps)) (sin eps)) eps) (/ (+ (* (/ (pow (sin eps) 3/2) (- (pow (* (+ (sin eps) eps) (sin eps)) 2) (pow eps 4))) (/ (neg (pow (sin eps) 3/2)) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* (neg eps) eps)) -1))) (/ (pow eps 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)))) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (+ (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (pow eps 3)) (/ (neg (pow (sin eps) 3)) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)))) (/ (+ (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (pow eps 3)) (/ (neg (pow (sin eps) 3)) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)))) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (/ (pow eps 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (/ (pow (sin eps) 3/2) (- (pow (* (+ (sin eps) eps) (sin eps)) 2) (pow eps 4))) (/ (neg (pow (sin eps) 3)) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)))) |
| 4.0ms | eps | @ | inf | ((+ (* (/ (pow (sin eps) 3/2) (- (pow (* (+ (sin eps) eps) (sin eps)) 2) (pow eps 4))) (/ (neg (pow (sin eps) 3/2)) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* (neg eps) eps)) -1))) (/ (pow eps 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)))) (/ (neg (pow (sin eps) 3/2)) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* (neg eps) eps)) -1)) (+ (* (/ -1 (cos eps)) (sin eps)) eps) (/ (+ (* (/ (pow (sin eps) 3/2) (- (pow (* (+ (sin eps) eps) (sin eps)) 2) (pow eps 4))) (/ (neg (pow (sin eps) 3/2)) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* (neg eps) eps)) -1))) (/ (pow eps 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)))) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (+ (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (pow eps 3)) (/ (neg (pow (sin eps) 3)) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)))) (/ (+ (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (pow eps 3)) (/ (neg (pow (sin eps) 3)) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)))) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (/ (pow eps 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (/ (pow (sin eps) 3/2) (- (pow (* (+ (sin eps) eps) (sin eps)) 2) (pow eps 4))) (/ (neg (pow (sin eps) 3)) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)))) |
| 4.0ms | eps | @ | -inf | ((+ (* (/ (pow (sin eps) 3/2) (- (pow (* (+ (sin eps) eps) (sin eps)) 2) (pow eps 4))) (/ (neg (pow (sin eps) 3/2)) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* (neg eps) eps)) -1))) (/ (pow eps 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)))) (/ (neg (pow (sin eps) 3/2)) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* (neg eps) eps)) -1)) (+ (* (/ -1 (cos eps)) (sin eps)) eps) (/ (+ (* (/ (pow (sin eps) 3/2) (- (pow (* (+ (sin eps) eps) (sin eps)) 2) (pow eps 4))) (/ (neg (pow (sin eps) 3/2)) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* (neg eps) eps)) -1))) (/ (pow eps 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)))) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (+ (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (pow eps 3)) (/ (neg (pow (sin eps) 3)) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)))) (/ (+ (* (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (pow eps 3)) (/ (neg (pow (sin eps) 3)) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)))) (+ (* (/ -1 (cos eps)) (sin eps)) eps)) (pow (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)) -1) (/ (pow eps 3) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps))) (/ (pow (sin eps) 3/2) (- (pow (* (+ (sin eps) eps) (sin eps)) 2) (pow eps 4))) (/ (neg (pow (sin eps) 3)) (+ (* (+ (sin eps) eps) (sin eps)) (* eps eps)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 426 | 1540 |
| 1 | 1244 | 1298 |
| 2 | 4294 | 1229 |
| 0 | 8836 | 1183 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(* -1 (sqrt (pow eps 7))) |
(* (pow eps 3) (+ (* -1 (sqrt eps)) (* 1/2 (sqrt (pow eps 5))))) |
(* (pow eps 3) (+ (* -1 (sqrt eps)) (* (pow eps 2) (+ (* 1/4 (sqrt eps)) (* 1/2 (sqrt eps)))))) |
(* (pow eps 3) (+ (* -1 (sqrt eps)) (* (pow eps 2) (+ (* 1/2 (sqrt eps)) (* eps (+ (* -19/360 (sqrt (pow eps 3))) (* 1/4 (sqrt (/ 1 eps))))))))) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(/ 1/3 (pow eps 2)) |
(/ (+ 1/3 (* 1/18 (pow eps 2))) (pow eps 2)) |
(/ (+ 1/3 (* (pow eps 2) (+ 1/18 (* 11/3240 (pow eps 2))))) (pow eps 2)) |
(/ (+ 1/3 (* (pow eps 2) (+ 1/18 (* (pow eps 2) (+ 11/3240 (* -1/27216 (pow eps 2))))))) (pow eps 2)) |
(* 1/3 eps) |
(* eps (+ 1/3 (* 1/18 (pow eps 2)))) |
(* eps (+ 1/3 (* (pow eps 2) (+ 1/18 (* 11/3240 (pow eps 2)))))) |
(* eps (+ 1/3 (* (pow eps 2) (+ 1/18 (* (pow eps 2) (+ 11/3240 (* -1/27216 (pow eps 2)))))))) |
(* 1/3 (sqrt (/ 1 (pow eps 5)))) |
(/ (+ (* 2/9 (sqrt (pow eps 5))) (* 1/3 (sqrt eps))) (pow eps 3)) |
(/ (+ (* 1/3 (sqrt eps)) (* (pow eps 2) (+ (* -1/12 (sqrt eps)) (* 2/9 (sqrt eps))))) (pow eps 3)) |
(/ (+ (* 1/3 (sqrt eps)) (* (pow eps 2) (+ (* 2/9 (sqrt eps)) (* eps (+ (* -1/12 (sqrt (/ 1 eps))) (* 157/1620 (sqrt (pow eps 3)))))))) (pow eps 3)) |
(* -1/3 eps) |
(* eps (- (* 1/9 (pow eps 2)) 1/3)) |
(* eps (- (* (pow eps 2) (+ 1/9 (* -19/1620 (pow eps 2)))) 1/3)) |
(* eps (- (* (pow eps 2) (+ 1/9 (* (pow eps 2) (- (* 2/8505 (pow eps 2)) 19/1620)))) 1/3)) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps))) |
(* eps (- (+ 1 (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (pow eps 3))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))) |
(* (pow eps 2) (sqrt (pow (sin eps) 3))) |
(* (pow eps 2) (+ (sqrt (pow (sin eps) 3)) (* -1 (* (/ 1 eps) (sqrt (pow (sin eps) 5)))))) |
(* (pow eps 2) (+ (sqrt (pow (sin eps) 3)) (+ (* -1 (* (/ 1 eps) (sqrt (pow (sin eps) 5)))) (* -1 (* (/ 1 (pow eps 2)) (sqrt (pow (sin eps) 7))))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))) (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps))))))) |
(/ 1 (pow eps 2)) |
(/ (+ 1 (* -1 (/ (sin eps) eps))) (pow eps 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps)) (pow eps 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* -1 (pow (sin eps) 3))) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))) (pow eps 2)) |
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* -1 (pow (sin eps) 3))) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))) |
(* -1 (* (/ 1 (pow eps 4)) (sqrt (pow (sin eps) 3)))) |
(/ (+ (* -1 (sqrt (pow (sin eps) 3))) (* -1 (* (/ 1 (pow eps 2)) (sqrt (pow (sin eps) 7))))) (pow eps 4)) |
(/ (+ (* -2 (* (/ 1 (pow eps 3)) (sqrt (pow (sin eps) 9)))) (+ (* -1 (sqrt (pow (sin eps) 3))) (* -1 (* (/ 1 (pow eps 2)) (sqrt (pow (sin eps) 7)))))) (pow eps 4)) |
(/ (+ (* -2 (* (/ 1 (pow eps 3)) (sqrt (pow (sin eps) 9)))) (+ (* -2 (* (/ 1 (pow eps 4)) (sqrt (pow (sin eps) 11)))) (+ (* -1 (sqrt (pow (sin eps) 3))) (* -1 (* (/ 1 (pow eps 2)) (sqrt (pow (sin eps) 7))))))) (pow eps 4)) |
(* -1 (/ (pow (sin eps) 3) (pow eps 2))) |
(/ (+ (* -1 (pow (sin eps) 3)) (/ (pow (sin eps) 4) eps)) (pow eps 2)) |
(/ (+ (* -1 (/ (pow (sin eps) 5) (pow eps 2))) (+ (* -1 (pow (sin eps) 3)) (+ (/ (pow (sin eps) 4) eps) (/ (pow (sin eps) 5) (pow eps 2))))) (pow eps 2)) |
(/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5))) (pow eps 3))) (+ (* -1 (/ (pow (sin eps) 5) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 6) (pow eps 3))) (+ (* -1 (pow (sin eps) 3)) (+ (/ (pow (sin eps) 4) eps) (/ (pow (sin eps) 5) (pow eps 2))))))) (pow eps 2)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow (sin eps) 3)) (+ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (pow (sin eps) 3))) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps))) eps)) 1))) |
(* (pow eps 2) (+ (sqrt (pow (sin eps) 3)) (* -1 (/ (+ (sqrt (pow (sin eps) 5)) (* (/ 1 eps) (sqrt (pow (sin eps) 7)))) eps)))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (* -1 (/ (- (* -1 (+ (* -1 (pow (sin eps) 3)) (+ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (pow (sin eps) 3)))) (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps)))) (cos eps))) eps))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (* -1 (sin eps))) eps))) (pow eps 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps) (/ (pow (sin eps) 3) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (* -1 (sin eps))) eps))) (pow eps 2)) |
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1))) |
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) eps)) (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (sin eps)) eps)) 1))) |
(/ (+ (* -1 (sqrt (pow (sin eps) 3))) (+ (* -1 (* (/ 1 (pow eps 2)) (sqrt (pow (sin eps) 7)))) (* -1 (/ (+ (* 2 (sqrt (pow (sin eps) 9))) (* 2 (* (/ 1 eps) (sqrt (pow (sin eps) 11))))) (pow eps 3))))) (pow eps 4)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5)) eps)) (* -1 (pow (sin eps) 4))) eps)) (* -1 (pow (sin eps) 3))) (pow eps 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (sin eps) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5))) (pow (sin eps) 6)) eps)) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5))) eps)) (* -1 (pow (sin eps) 4))) eps)) (* -1 (pow (sin eps) 3))) (pow eps 2)) |
| Outputs |
|---|
(* 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 (*.f64 eps eps) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* -1 (sqrt (pow eps 7))) |
(neg.f64 (sqrt.f64 (pow.f64 eps #s(literal 7 binary64)))) |
(* (pow eps 3) (+ (* -1 (sqrt eps)) (* 1/2 (sqrt (pow eps 5))))) |
(*.f64 (fma.f64 (sqrt.f64 (pow.f64 eps #s(literal 5 binary64))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 eps))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* -1 (sqrt eps)) (* (pow eps 2) (+ (* 1/4 (sqrt eps)) (* 1/2 (sqrt eps)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 eps)) eps) eps (neg.f64 (sqrt.f64 eps))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* -1 (sqrt eps)) (* (pow eps 2) (+ (* 1/2 (sqrt eps)) (* eps (+ (* -19/360 (sqrt (pow eps 3))) (* 1/4 (sqrt (/ 1 eps))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) #s(literal -19/360 binary64))) eps (*.f64 #s(literal 1/2 binary64) (sqrt.f64 eps))) (*.f64 eps eps) (neg.f64 (sqrt.f64 eps))) (pow.f64 eps #s(literal 3 binary64))) |
(* -1/3 (pow eps 3)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(/ 1/3 (pow eps 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) |
(/ (+ 1/3 (* 1/18 (pow eps 2))) (pow eps 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) eps) eps) |
(/ (+ 1/3 (* (pow eps 2) (+ 1/18 (* 11/3240 (pow eps 2))))) (pow eps 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 11/3240 binary64) (*.f64 eps eps) #s(literal 1/18 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) eps) eps) |
(/ (+ 1/3 (* (pow eps 2) (+ 1/18 (* (pow eps 2) (+ 11/3240 (* -1/27216 (pow eps 2))))))) (pow eps 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/27216 binary64) (*.f64 eps eps) #s(literal 11/3240 binary64)) (*.f64 eps eps) #s(literal 1/18 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) eps) eps) |
(* 1/3 eps) |
(*.f64 #s(literal 1/3 binary64) eps) |
(* eps (+ 1/3 (* 1/18 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) eps) |
(* eps (+ 1/3 (* (pow eps 2) (+ 1/18 (* 11/3240 (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 11/3240 binary64) (*.f64 eps eps) #s(literal 1/18 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) eps) |
(* eps (+ 1/3 (* (pow eps 2) (+ 1/18 (* (pow eps 2) (+ 11/3240 (* -1/27216 (pow eps 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/27216 binary64) (*.f64 eps eps) #s(literal 11/3240 binary64)) (*.f64 eps eps) #s(literal 1/18 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) eps) |
(* 1/3 (sqrt (/ 1 (pow eps 5)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) #s(literal 1/3 binary64)) |
(/ (+ (* 2/9 (sqrt (pow eps 5))) (* 1/3 (sqrt eps))) (pow eps 3)) |
(/.f64 (fma.f64 #s(literal 2/9 binary64) (sqrt.f64 (pow.f64 eps #s(literal 5 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 eps))) (pow.f64 eps #s(literal 3 binary64))) |
(/ (+ (* 1/3 (sqrt eps)) (* (pow eps 2) (+ (* -1/12 (sqrt eps)) (* 2/9 (sqrt eps))))) (pow eps 3)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5/36 binary64) (sqrt.f64 eps)) eps) eps (*.f64 #s(literal 1/3 binary64) (sqrt.f64 eps))) (pow.f64 eps #s(literal 3 binary64))) |
(/ (+ (* 1/3 (sqrt eps)) (* (pow eps 2) (+ (* 2/9 (sqrt eps)) (* eps (+ (* -1/12 (sqrt (/ 1 eps))) (* 157/1620 (sqrt (pow eps 3)))))))) (pow eps 3)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 157/1620 binary64) (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) eps (*.f64 #s(literal 2/9 binary64) (sqrt.f64 eps))) (*.f64 eps eps) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 eps))) (pow.f64 eps #s(literal 3 binary64))) |
(* -1/3 eps) |
(*.f64 #s(literal -1/3 binary64) eps) |
(* eps (- (* 1/9 (pow eps 2)) 1/3)) |
(*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) |
(* eps (- (* (pow eps 2) (+ 1/9 (* -19/1620 (pow eps 2)))) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -19/1620 binary64) (*.f64 eps eps) #s(literal 1/9 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) |
(* eps (- (* (pow eps 2) (+ 1/9 (* (pow eps 2) (- (* 2/8505 (pow eps 2)) 19/1620)))) 1/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/8505 binary64) (*.f64 eps eps) #s(literal -19/1620 binary64)) (*.f64 eps eps) #s(literal 1/9 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) eps) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(* eps (- (+ 1 (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (pow eps 3))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))) |
(fma.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) eps) (fma.f64 (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) eps))) eps eps) |
(* (pow eps 2) (sqrt (pow (sin eps) 3))) |
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (sqrt (pow (sin eps) 3)) (* -1 (* (/ 1 eps) (sqrt (pow (sin eps) 5)))))) |
(*.f64 (-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64))) eps)) (*.f64 eps eps)) |
(* (pow eps 2) (+ (sqrt (pow (sin eps) 3)) (+ (* -1 (* (/ 1 eps) (sqrt (pow (sin eps) 5)))) (* -1 (* (/ 1 (pow eps 2)) (sqrt (pow (sin eps) 7))))))) |
(*.f64 (-.f64 (-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64))) eps)) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 7 binary64))) (*.f64 eps eps))) (*.f64 eps 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 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) (*.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) eps)) (/.f64 (sin.f64 eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2))) (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps))))))) |
(+.f64 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps) (*.f64 (sin.f64 eps) (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)) (*.f64 eps eps)) (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 eps)) (cos.f64 eps)) (cos.f64 eps)) (pow.f64 eps #s(literal 3 binary64)))))) #s(literal 1 binary64)) |
(/ 1 (pow eps 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) eps) eps) |
(/ (+ 1 (* -1 (/ (sin eps) eps))) (pow eps 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) eps) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) (pow eps 2)))) (/ (sin eps) eps)) (pow eps 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) eps) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* -1 (pow (sin eps) 3))) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2))))) (pow eps 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) eps)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) eps))) (*.f64 eps eps)) |
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)))) (* -1 (pow (sin eps) 3))) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))))) |
(fma.f64 (-.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) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) eps)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) eps))) eps eps) |
(* -1 (* (/ 1 (pow eps 4)) (sqrt (pow (sin eps) 3)))) |
(/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (neg.f64 (pow.f64 eps #s(literal 4 binary64)))) |
(/ (+ (* -1 (sqrt (pow (sin eps) 3))) (* -1 (* (/ 1 (pow eps 2)) (sqrt (pow (sin eps) 7))))) (pow eps 4)) |
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 7 binary64))) (*.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64))) |
(/ (+ (* -2 (* (/ 1 (pow eps 3)) (sqrt (pow (sin eps) 9)))) (+ (* -1 (sqrt (pow (sin eps) 3))) (* -1 (* (/ 1 (pow eps 2)) (sqrt (pow (sin eps) 7)))))) (pow eps 4)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (pow.f64 eps #s(literal 3 binary64))) #s(literal -2 binary64) (-.f64 (neg.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 7 binary64))) (*.f64 eps eps)))) (pow.f64 eps #s(literal 4 binary64))) |
(/ (+ (* -2 (* (/ 1 (pow eps 3)) (sqrt (pow (sin eps) 9)))) (+ (* -2 (* (/ 1 (pow eps 4)) (sqrt (pow (sin eps) 11)))) (+ (* -1 (sqrt (pow (sin eps) 3))) (* -1 (* (/ 1 (pow eps 2)) (sqrt (pow (sin eps) 7))))))) (pow eps 4)) |
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 11 binary64))) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 (neg.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 7 binary64))) (*.f64 eps eps)))) (pow.f64 eps #s(literal 4 binary64))) |
(* -1 (/ (pow (sin eps) 3) (pow eps 2))) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) eps) eps) |
(/ (+ (* -1 (pow (sin eps) 3)) (/ (pow (sin eps) 4) eps)) (pow eps 2)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 eps eps)) |
(/ (+ (* -1 (/ (pow (sin eps) 5) (pow eps 2))) (+ (* -1 (pow (sin eps) 3)) (+ (/ (pow (sin eps) 4) eps) (/ (pow (sin eps) 5) (pow eps 2))))) (pow eps 2)) |
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) eps) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) eps) eps)) (*.f64 eps eps)) |
(/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5))) (pow eps 3))) (+ (* -1 (/ (pow (sin eps) 5) (pow eps 2))) (+ (* -1 (/ (pow (sin eps) 6) (pow eps 3))) (+ (* -1 (pow (sin eps) 3)) (+ (/ (pow (sin eps) 4) eps) (/ (pow (sin eps) 5) (pow eps 2))))))) (pow eps 2)) |
(/.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) eps) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) eps) eps)) (*.f64 eps eps)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2)) eps))) eps)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(* -1 (* eps (- (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow (sin eps) 3)) (+ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (pow (sin eps) 3))) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps))) eps)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(* (pow eps 2) (+ (sqrt (pow (sin eps) 3)) (* -1 (/ (+ (sqrt (pow (sin eps) 5)) (* (/ 1 eps) (sqrt (pow (sin eps) 7)))) eps)))) |
(*.f64 (-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 7 binary64))) eps) (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)))) eps)) (*.f64 eps eps)) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 (sin.f64 eps) (neg.f64 eps)) eps) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (* -1 (/ (- (* -1 (+ (* -1 (pow (sin eps) 3)) (+ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (pow (sin eps) 3)))) (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps)))) (cos eps))) eps))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps) (/.f64 (neg.f64 (*.f64 (sin.f64 eps) (/.f64 (*.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)))) eps)) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (* -1 (sin eps))) eps))) (pow eps 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) eps) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps) (/ (pow (sin eps) 3) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (* -1 (sin eps))) eps))) (pow eps 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) eps)) eps)) eps) eps) |
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) eps)) (/ (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (+ (* -1 (pow (sin eps) 2)) (pow (sin eps) 2))) eps)) (sin eps)) eps)) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) eps)) eps)) eps) |
(/ (+ (* -1 (sqrt (pow (sin eps) 3))) (+ (* -1 (* (/ 1 (pow eps 2)) (sqrt (pow (sin eps) 7)))) (* -1 (/ (+ (* 2 (sqrt (pow (sin eps) 9))) (* 2 (* (/ 1 eps) (sqrt (pow (sin eps) 11))))) (pow eps 3))))) (pow eps 4)) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 11 binary64))) eps) (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64))))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 7 binary64))) (*.f64 eps eps))) (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 eps #s(literal 4 binary64))) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5)) eps)) (* -1 (pow (sin eps) 4))) eps)) (* -1 (pow (sin eps) 3))) (pow eps 2)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 eps eps)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (sin eps) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5))) (pow (sin eps) 6)) eps)) (+ (* -1 (pow (sin eps) 5)) (pow (sin eps) 5))) eps)) (* -1 (pow (sin eps) 4))) eps)) (* -1 (pow (sin eps) 3))) (pow eps 2)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) eps) eps) #s(literal -1 binary64) (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) eps) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 eps eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 273 |
| 0 | 67 | 313 |
| 1 | 277 | 191 |
| 2 | 2468 | 173 |
| 0 | 8667 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) |
(/.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 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (neg.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))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -3 binary64)) (*.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -3 binary64)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64))))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.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)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -3 binary64)) (*.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -3 binary64)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64))))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -2 binary64)) (pow.f64 eps #s(literal 6 binary64)) (/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.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)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) |
(pow.f64 (/.f64 (/.f64 (-.f64 (neg.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 (sin.f64 eps) #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.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)))) (fma.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -3 binary64)) (*.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -3 binary64)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.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 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -2 binary64)) (pow.f64 eps #s(literal 6 binary64)) (/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.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)))) (fma.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -3 binary64)) (*.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -3 binary64)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64)))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (neg.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 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -3 binary64)) (*.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -3 binary64)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64))))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.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 (neg.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -3 binary64)) (*.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -3 binary64)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 9 binary64))))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -2 binary64)) (pow.f64 eps #s(literal 6 binary64)) (/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 6 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.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 (neg.f64 (fma.f64 (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 (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 eps #s(literal -3 binary64))) (*.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 (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 eps #s(literal -3 binary64)))))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (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 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))) (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))) (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))))) (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (sin.f64 eps) #s(literal -3/2 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))) (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (sin.f64 eps) #s(literal -3/2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (sin.f64 eps) #s(literal -3/2 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))) (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (sin.f64 eps) #s(literal -3/2 binary64))))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)))) (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))) (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (sin.f64 eps) #s(literal -3/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (sin.f64 eps) #s(literal -3/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 eps) eps (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))))))) |
(-.f64 (/.f64 #s(literal 0 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 #s(literal 0 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) #s(literal -1 binary64))) |
Compiled 34 561 to 2 110 computations (93.9% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 546 | 2 | 548 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 6 | 6 |
| Total | 548 | 8 | 556 |
| Status | Accuracy | Program |
|---|---|---|
| 3.1% | (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (/.f64 eps (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) | |
| 3.0% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) | |
| ✓ | 2.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
| ✓ | 2.4% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| ✓ | 99.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.7% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.1% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ✓ | 98.2% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 558 to 184 computations (67% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (/.f64 eps (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 (neg.f64 eps) eps)) #s(literal -1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
2 calls:
| 6.0ms | eps |
| 3.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | eps |
| 99.9% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
2 calls:
| 2.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | eps |
| 99.7% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
2 calls:
| 1.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | eps |
| 99.1% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 10 to 7 computations (30% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
2 calls:
| 1.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | eps |
| 98.2% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 74 |
| 1 | 28 | 74 |
| 2 | 38 | 74 |
| 3 | 55 | 74 |
| 4 | 93 | 74 |
| 5 | 176 | 74 |
| 6 | 431 | 74 |
| 7 | 1549 | 74 |
| 8 | 5536 | 74 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 465 |
| 1 | 422 | 433 |
| 2 | 1323 | 408 |
| 3 | 5663 | 369 |
| 0 | 8263 | 341 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
Compiled 108 to 44 computations (59.3% saved)
(abs eps)
Compiled 232 to 96 computations (58.6% saved)
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