
Time bar (total: 17.1s)
| 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)
| 7.5s | 4 532× | 2 | valid |
| 1.3s | 1 124× | 3 | valid |
| 753.0ms | 2 451× | 1 | valid |
| 14.0ms | 149× | 0 | valid |
ival-tan: 4.9s (54.7% of total)ival-sin: 2.7s (30.2% of total)const: 422.0ms (4.7% of total)adjust: 362.0ms (4.1% of total)ival-sub: 296.0ms (3.3% of total)ival-<=: 127.0ms (1.4% of total)ival-div: 126.0ms (1.4% of total)ival-and: 13.0ms (0.1% of total)ival-assert: 3.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 161 | 0 | - | 1 | (8.524379070118192e-107) | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 95 | 0 | - | 1 | (-0.18702105090737053) | (-.f64 eps (tan.f64 eps)) |
| 95 | 1 | (-0.18702105090737053) | 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 | 160 | 0 |
| ↳ | (-.f64 eps (sin.f64 eps)) | underflow | 160 | |
| ↳ | (-.f64 eps (tan.f64 eps)) | underflow | 160 | |
-.f64 | (-.f64 eps (sin.f64 eps)) | cancellation | 96 | 0 |
-.f64 | (-.f64 eps (tan.f64 eps)) | cancellation | 94 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 162 |
| 2 | 94 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 519.0ms | 286× | 2 | valid |
| 112.0ms | 58× | 3 | valid |
| 64.0ms | 158× | 1 | valid |
| 1.0ms | 10× | 0 | valid |
Compiled 79 to 28 computations (64.6% saved)
ival-tan: 349.0ms (52% of total)ival-sin: 178.0ms (26.5% of total)ival-sub: 81.0ms (12.1% of total)adjust: 56.0ms (8.3% of total)ival-div: 6.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 29 | 23 |
| 2 | 78 | 18 |
| 3 | 239 | 18 |
| 4 | 501 | 18 |
| 5 | 688 | 18 |
| 6 | 705 | 18 |
| 7 | 743 | 18 |
| 8 | 772 | 18 |
| 0 | 6 | 9 |
| 0 | 11 | 9 |
| 1 | 18 | 9 |
| 2 | 28 | 9 |
| 3 | 45 | 9 |
| 4 | 79 | 9 |
| 5 | 151 | 9 |
| 6 | 326 | 9 |
| 7 | 624 | 9 |
| 8 | 928 | 9 |
| 9 | 943 | 9 |
| 10 | 944 | 9 |
| 0 | 944 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Outputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(abs eps)
Compiled 9 to 6 computations (33.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 2.0% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 eps (tan.f64 eps)) | |
| cost-diff | 0 | (sin.f64 eps) | |
| cost-diff | 0 | (-.f64 eps (sin.f64 eps)) | |
| cost-diff | 0 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 22 |
| 0 | 11 | 22 |
| 1 | 18 | 22 |
| 2 | 28 | 22 |
| 3 | 45 | 22 |
| 4 | 79 | 22 |
| 5 | 151 | 22 |
| 6 | 326 | 22 |
| 7 | 624 | 22 |
| 8 | 928 | 22 |
| 9 | 943 | 22 |
| 10 | 944 | 22 |
| 0 | 944 | 22 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
| Outputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 eps) | |
| accuracy | 20.94700261750923 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 20.965377461724206 | (-.f64 eps (tan.f64 eps)) | |
| accuracy | 39.89084050023467 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 253.0ms | 143× | 2 | valid |
| 22.0ms | 29× | 3 | valid |
| 14.0ms | 79× | 1 | valid |
| 0.0ms | 5× | 0 | valid |
Compiled 46 to 14 computations (69.6% saved)
ival-tan: 178.0ms (64.4% of total)ival-sin: 60.0ms (21.7% of total)ival-sub: 26.0ms (9.4% of total)adjust: 10.0ms (3.6% of total)ival-div: 3.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
| Outputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(sin eps) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps))) |
| 1.0ms | eps | @ | -inf | ((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps))) |
| 1.0ms | eps | @ | 0 | ((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) (sin eps) (- eps (tan eps))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 458 |
| 1 | 422 | 429 |
| 2 | 1321 | 404 |
| 3 | 5649 | 381 |
| 0 | 8475 | 355 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(* 1/6 (pow eps 3)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(sin eps) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* 1/6 (pow eps 3)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 eps eps) #s(literal 1/5040 binary64)) (*.f64 eps eps) #s(literal -1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* -1/3 (pow eps 3)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(-.f64 (+.f64 (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps) eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(-.f64 eps (sin.f64 eps)) |
(sin eps) |
(sin.f64 eps) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(-.f64 eps (sin.f64 eps)) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 11 | 19 |
| 1 | 51 | 19 |
| 2 | 408 | 19 |
| 3 | 5947 | 19 |
| 0 | 8258 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(-.f64 eps (tan.f64 eps)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (sin.f64 eps))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (-.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps))) (neg.f64 (+.f64 (tan.f64 eps) eps))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps))) |
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) #s(literal 1 binary64)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (sin.f64 eps) eps))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps)) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
(*.f64 (pow.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 eps (sin.f64 eps)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (-.f64 eps (sin.f64 eps)))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -2 binary64))) (pow.f64 (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
(*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (-.f64 eps (sin.f64 eps))) |
(*.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))) |
(*.f64 (+.f64 (sin.f64 eps) eps) (/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (-.f64 eps (tan.f64 eps)))) |
(*.f64 (+.f64 (tan.f64 eps) eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps))) |
(*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (-.f64 eps (tan.f64 eps)))) |
(*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) |
(*.f64 (-.f64 (sin.f64 eps) eps) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)) |
(*.f64 (-.f64 eps (sin.f64 eps)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (fma.f64 (-.f64 eps (tan.f64 eps)) eps (*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) |
(/.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) |
(/.f64 (/.f64 (-.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (-.f64 eps (tan.f64 eps))) |
(/.f64 (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (+.f64 (sin.f64 eps) eps)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) |
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (neg.f64 (+.f64 (sin.f64 eps) eps))) |
(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(/.f64 (*.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) (neg.f64 (+.f64 (sin.f64 eps) eps))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))) |
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps))) |
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps))) |
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)))) |
(/.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (-.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64)))) |
(/.f64 (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (sin.f64 eps) eps))) (neg.f64 (+.f64 (sin.f64 eps) eps))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (+.f64 (tan.f64 eps) eps)) (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (*.f64 (+.f64 (tan.f64 eps) eps) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (tan.f64 eps) #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (+.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (*.f64 (+.f64 (tan.f64 eps) eps) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 eps) eps)))) |
(/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) (neg.f64 (+.f64 (tan.f64 eps) eps))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps)))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (tan.f64 eps) (tan.f64 eps) (-.f64 (*.f64 eps eps) (*.f64 (neg.f64 (tan.f64 eps)) eps)))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) |
(/.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(/.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64)) |
(neg.f64 (-.f64 (tan.f64 eps) eps)) |
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (-.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) |
(fma.f64 (/.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) |
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 #s(literal -1 binary64) (tan.f64 eps) eps) |
(fma.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) eps) |
(fma.f64 (*.f64 eps eps) (/.f64 eps (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps eps) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) |
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps) |
(fma.f64 (sin.f64 eps) (neg.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64))) eps) |
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps) |
(fma.f64 eps (/.f64 (*.f64 eps eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))) |
(fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))) |
(-.f64 (+.f64 eps #s(literal 0 binary64)) (tan.f64 eps)) |
(-.f64 (/.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) #s(literal 1 binary64))) |
(-.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (tan.f64 eps) #s(literal 1 binary64))) |
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (tan.f64 eps) eps)) |
(-.f64 eps (tan.f64 eps)) |
(+.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 11 466 to 1 227 computations (89.3% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 427 | 16 | 443 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 427 | 17 | 444 |
| Status | Accuracy | Program |
|---|---|---|
| 2.3% | (fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) | |
| 1.6% | (/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (+.f64 (sin.f64 eps) eps)) | |
| ▶ | 1.6% | (/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) |
| 1.6% | (/.f64 (-.f64 (*.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)) (*.f64 (-.f64 (tan.f64 eps) eps) (neg.f64 (sin.f64 eps)))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) | |
| ▶ | 1.6% | (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))) |
| 2.7% | (/.f64 (-.f64 eps (sin.f64 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)))))) | |
| 3.3% | (/.f64 (-.f64 eps (sin.f64 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)))))) | |
| 1.6% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) | |
| ✓ | 2.0% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 1.8% | (/.f64 #s(approx (- eps (sin eps)) (*.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)))) (-.f64 eps (tan.f64 eps))) | |
| 2.0% | (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64)) (-.f64 (tan.f64 eps) eps))) | |
| 1.6% | (*.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))) | |
| ▶ | 2.0% | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
| ▶ | 99.7% | #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))) |
| 99.5% | #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))) | |
| 99.3% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) | |
| ▶ | 98.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 685 to 376 computations (45.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 eps) | |
| cost-diff | 0 | (-.f64 eps (tan.f64 eps)) | |
| cost-diff | 6592 | (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) | |
| cost-diff | 15232 | (/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) | |
| cost-diff | 0 | (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) | |
| cost-diff | 13696 | (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))) | |
| cost-diff | 0 | (tan.f64 eps) | |
| cost-diff | 0 | (-.f64 (tan.f64 eps) eps) | |
| cost-diff | 0 | (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 241 |
| 0 | 59 | 219 |
| 1 | 115 | 219 |
| 2 | 292 | 213 |
| 3 | 896 | 213 |
| 4 | 3073 | 210 |
| 0 | 8367 | 210 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
#s(literal -1 binary64) |
(-.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))) |
(-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(*.f64 eps eps) |
eps |
(pow.f64 (sin.f64 eps) #s(literal 2 binary64)) |
(sin.f64 eps) |
#s(literal 2 binary64) |
(*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) |
(+.f64 (sin.f64 eps) eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
(/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) |
(-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) |
(-.f64 eps (tan.f64 eps)) |
eps |
(tan.f64 eps) |
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps)) |
(/.f64 (-.f64 eps (tan.f64 eps)) eps) |
(sin.f64 eps) |
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
#s(literal 27/112000 binary64) |
(*.f64 eps eps) |
eps |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
#s(literal -1 binary64) |
(-.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(*.f64 eps eps) |
eps |
(pow.f64 (sin.f64 eps) #s(literal 2 binary64)) |
(sin.f64 eps) |
#s(literal 2 binary64) |
(*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) |
(*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (sin.f64 eps) eps)) |
(+.f64 (sin.f64 eps) eps) |
(-.f64 eps (tan.f64 eps)) |
(tan.f64 eps) |
(/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) |
(-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) |
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (sin.f64 eps))) |
(-.f64 eps (tan.f64 eps)) |
eps |
(tan.f64 eps) |
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps)) |
(*.f64 (/.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 eps (tan.f64 eps)) eps) |
(sin.f64 eps) |
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps))) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 10.76552477304415 | (/.f64 (-.f64 eps (tan.f64 eps)) eps) | |
| accuracy | 13.043064536234732 | (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) | |
| accuracy | 20.965377461724206 | (-.f64 eps (tan.f64 eps)) | |
| accuracy | 48.36279131224017 | (/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) | |
| accuracy | 0.08984375 | (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) | |
| accuracy | 16.33925165656317 | (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) | |
| accuracy | 20.965377461724206 | (-.f64 eps (tan.f64 eps)) | |
| accuracy | 45.37808184305892 | (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))) | |
| accuracy | 0.09375 | (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) | |
| accuracy | 20.94700261750923 | (-.f64 (sin.f64 eps) eps) | |
| accuracy | 20.965377461724206 | (-.f64 (tan.f64 eps) eps) | |
| accuracy | 41.29068172611996 | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) | |
| accuracy | 0.7271590071461294 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (*.f64 eps eps) | |
| accuracy | 0.00390625 | (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 | 0.015625 | (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) | |
| accuracy | 0.1782705035509472 | #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))) |
| 401.0ms | 105× | 3 | valid |
| 143.0ms | 74× | 1 | valid |
| 92.0ms | 74× | 2 | valid |
| 1.0ms | 3× | 0 | valid |
Compiled 471 to 70 computations (85.1% saved)
ival-tan: 189.0ms (33.4% of total)ival-sin: 130.0ms (23% of total)adjust: 90.0ms (15.9% of total)const: 37.0ms (6.5% of total)ival-mult: 36.0ms (6.4% of total)ival-sub: 35.0ms (6.2% of total)ival-div: 22.0ms (3.9% of total)ival-add: 10.0ms (1.8% of total)ival-pow: 9.0ms (1.6% of total)ival-pow2: 8.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (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)) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))) |
(-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(*.f64 eps eps) |
(pow.f64 (sin.f64 eps) #s(literal 2 binary64)) |
(/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) |
(-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) |
(-.f64 eps (tan.f64 eps)) |
(-.f64 (sin.f64 eps) eps) |
(*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 eps (tan.f64 eps)) eps) |
| Outputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
9/40 |
(+ 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) |
(/ 3 (pow eps 3)) |
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3)) |
(* 1/3 (pow eps 3)) |
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2)))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) |
eps |
(* eps (+ 1 (* 1/3 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))) |
(* 1/3 (pow eps 4)) |
(* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2)))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* -1/3 (pow eps 2)))) |
(* (pow eps 2) (+ 1 (* (pow eps 2) (- (* 2/45 (pow eps 2)) 1/3)))) |
(* (pow eps 2) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/45 (* -1/315 (pow eps 2)))) 1/3)))) |
(* -1/18 (pow eps 5)) |
(* (pow eps 5) (- (* -7/360 (pow eps 2)) 1/18)) |
(* (pow eps 5) (- (* (pow eps 2) (- (* -601/75600 (pow eps 2)) 7/360)) 1/18)) |
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17531/5443200 (pow eps 2)) 601/75600)) 7/360)) 1/18)) |
(* -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) (- (* 1/120 (pow eps 2)) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(* -2/3 (pow eps 4)) |
(* (pow eps 4) (- (* -19/90 (pow eps 2)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* -223/2520 (pow eps 2)) 19/90)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -8117/226800 (pow eps 2)) 223/2520)) 19/90)) 2/3)) |
(* -1/3 (pow eps 2)) |
(* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 2) (- (* (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)))))) |
(* 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))))) |
(/ -1 eps) |
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps) |
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps) |
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(* -1 eps) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(/ (sin eps) (cos eps)) |
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))) |
(- (+ 1 (* -1 (/ (pow (sin eps) 2) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (/ (sin eps) eps))))) |
(- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (/ (sin eps) eps))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) |
(pow (sin eps) 2) |
(- (+ 1 (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps))) (* -2 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(- (+ 1 (+ (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(* eps (+ 1 (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)))) |
(* eps (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) eps) (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (- (/ (sin eps) eps) 1)) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos 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 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps)) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (pow (sin eps) 2) eps))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps))) |
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (pow (sin eps) 2) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (pow (sin eps) 2) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps)))) (* 2 (/ (sin eps) (cos eps)))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps)))) (* 2 (/ (sin eps) (cos eps)))) eps))) |
(* -1 (* eps (- (+ (/ (sin eps) eps) (/ (sin eps) (* eps (cos eps)))) 1))) |
(* -1 (* eps (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (cos eps))) (+ (sin eps) (/ (sin eps) (cos eps)))) eps)) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | 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))) (* (pow (- (tan eps) eps) -1) (- (sin eps) eps)) (pow (- (tan eps) eps) -1) (- (tan eps) eps) (tan eps) (/ (- (* eps eps) (pow (sin eps) 2)) (* (+ (sin eps) eps) (- eps (tan eps)))) (- (* eps eps) (pow (sin eps) 2)) (* eps eps) (pow (sin eps) 2) (/ (- (- eps (tan eps)) (* (/ (- eps (tan eps)) eps) (sin eps))) (* (/ (- eps (tan eps)) eps) (- eps (tan eps)))) (- (- eps (tan eps)) (* (/ (- eps (tan eps)) eps) (sin eps))) (- eps (tan eps)) (- (sin eps) eps) (* (+ (sin eps) eps) (- eps (tan eps))) (/ (- eps (tan eps)) eps)) |
| 7.0ms | 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))) (* (pow (- (tan eps) eps) -1) (- (sin eps) eps)) (pow (- (tan eps) eps) -1) (- (tan eps) eps) (tan eps) (/ (- (* eps eps) (pow (sin eps) 2)) (* (+ (sin eps) eps) (- eps (tan eps)))) (- (* eps eps) (pow (sin eps) 2)) (* eps eps) (pow (sin eps) 2) (/ (- (- eps (tan eps)) (* (/ (- eps (tan eps)) eps) (sin eps))) (* (/ (- eps (tan eps)) eps) (- eps (tan eps)))) (- (- eps (tan eps)) (* (/ (- eps (tan eps)) eps) (sin eps))) (- eps (tan eps)) (- (sin eps) eps) (* (+ (sin eps) eps) (- eps (tan eps))) (/ (- eps (tan eps)) eps)) |
| 5.0ms | 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))) (* (pow (- (tan eps) eps) -1) (- (sin eps) eps)) (pow (- (tan eps) eps) -1) (- (tan eps) eps) (tan eps) (/ (- (* eps eps) (pow (sin eps) 2)) (* (+ (sin eps) eps) (- eps (tan eps)))) (- (* eps eps) (pow (sin eps) 2)) (* eps eps) (pow (sin eps) 2) (/ (- (- eps (tan eps)) (* (/ (- eps (tan eps)) eps) (sin eps))) (* (/ (- eps (tan eps)) eps) (- eps (tan eps)))) (- (- eps (tan eps)) (* (/ (- eps (tan eps)) eps) (sin eps))) (- eps (tan eps)) (- (sin eps) eps) (* (+ (sin eps) eps) (- eps (tan eps))) (/ (- eps (tan eps)) eps)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 484 | 2165 |
| 1 | 1419 | 2077 |
| 2 | 4524 | 1867 |
| 0 | 8702 | 1775 |
| 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) |
(/ 3 (pow eps 3)) |
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3)) |
(* 1/3 (pow eps 3)) |
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2)))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) |
eps |
(* eps (+ 1 (* 1/3 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))) |
(* 1/3 (pow eps 4)) |
(* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2)))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* -1/3 (pow eps 2)))) |
(* (pow eps 2) (+ 1 (* (pow eps 2) (- (* 2/45 (pow eps 2)) 1/3)))) |
(* (pow eps 2) (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 2/45 (* -1/315 (pow eps 2)))) 1/3)))) |
(* -1/18 (pow eps 5)) |
(* (pow eps 5) (- (* -7/360 (pow eps 2)) 1/18)) |
(* (pow eps 5) (- (* (pow eps 2) (- (* -601/75600 (pow eps 2)) 7/360)) 1/18)) |
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -17531/5443200 (pow eps 2)) 601/75600)) 7/360)) 1/18)) |
(* -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) (- (* 1/120 (pow eps 2)) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(* -2/3 (pow eps 4)) |
(* (pow eps 4) (- (* -19/90 (pow eps 2)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* -223/2520 (pow eps 2)) 19/90)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -8117/226800 (pow eps 2)) 223/2520)) 19/90)) 2/3)) |
(* -1/3 (pow eps 2)) |
(* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 2) (- (* (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)))))) |
(* 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))))) |
(/ -1 eps) |
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps) |
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps) |
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(* -1 eps) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(/ (sin eps) (cos eps)) |
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))) |
(- (+ 1 (* -1 (/ (pow (sin eps) 2) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (/ (sin eps) eps))))) |
(- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (/ (sin eps) eps))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) |
(pow (sin eps) 2) |
(- (+ 1 (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps))) (* -2 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(- (+ 1 (+ (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (+ (sin eps) (/ (sin eps) (cos eps)))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) |
(* eps (+ 1 (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)))) |
(* eps (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) eps) (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (- (/ (sin eps) eps) 1)) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos 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 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps)) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (pow (sin eps) 2) eps))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps))) |
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (pow (sin eps) 2) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (pow (sin eps) 2) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps)))) (* 2 (/ (sin eps) (cos eps)))) eps))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps)))) (* 2 (/ (sin eps) (cos eps)))) eps))) |
(* -1 (* eps (- (+ (/ (sin eps) eps) (/ (sin eps) (* eps (cos eps)))) 1))) |
(* -1 (* eps (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (cos eps))) (+ (sin eps) (/ (sin eps) (cos eps)))) eps)) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
9/40 |
#s(literal 9/40 binary64) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
-27/2800 |
#s(literal -27/2800 binary64) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(/ 3 (pow eps 3)) |
(/.f64 #s(literal 3 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3)) |
(/.f64 (fma.f64 #s(literal -6/5 binary64) (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/175 binary64) (*.f64 eps eps) #s(literal -6/5 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7875 binary64) (*.f64 eps eps) #s(literal -1/175 binary64)) (*.f64 eps eps) #s(literal -6/5 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) (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) (+ 1/3 (* 2/15 (pow eps 2)))) |
(*.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) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) |
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(* eps (+ 1 (* -1 (/ (+ (sin eps) (/ (sin eps) (cos eps))) eps)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal -1 binary64)) #s(literal 1 binary64)) eps) |
(* eps (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) eps) (/ (sin eps) (* eps (cos eps)))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (neg.f64 (sin.f64 eps))) eps) #s(literal 1 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) |
(* eps (- (/ (sin eps) eps) 1)) |
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))) |
(*.f64 eps (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) eps eps)) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps))))) |
(*.f64 eps (fma.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (/.f64 (sin.f64 eps) eps) eps)) (/.f64 (sin.f64 eps) eps)) eps eps)) |
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) eps) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) eps) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (/.f64 (sin.f64 eps) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) eps)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (neg.f64 eps)) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (pow (sin eps) 2) eps))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps)))) (/.f64 (pow.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64)) eps)) eps)) |
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (pow (sin eps) 2) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (pow (sin eps) 2) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 eps) (pow.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 eps) (pow.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)))) eps)) eps)) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (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) (+ (* -1 (/ (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps)))) (* 2 (/ (sin eps) (cos eps)))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 eps)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)))) eps) #s(literal -1 binary64) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (+ (sin eps) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps)))) (* 2 (/ (sin eps) (cos eps)))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (sin.f64 eps) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 eps)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)))) (*.f64 (cos.f64 eps) eps)) #s(literal 2 binary64) (*.f64 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 eps)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps))))) eps) #s(literal -1 binary64) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) |
(* -1 (* eps (- (+ (/ (sin eps) eps) (/ (sin eps) (* eps (cos eps)))) 1))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal -1 binary64)) #s(literal 1 binary64)) eps) |
(* -1 (* eps (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (cos eps))) (+ (sin eps) (/ (sin eps) (cos eps)))) eps)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (neg.f64 (sin.f64 eps))) eps)) (neg.f64 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 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)))) |
(*.f64 eps (fma.f64 (/.f64 (+.f64 (sin.f64 eps) (neg.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) eps) eps eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 189 |
| 0 | 59 | 180 |
| 1 | 259 | 175 |
| 2 | 2194 | 173 |
| 0 | 9330 | 172 |
| 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)) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))) |
(-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(*.f64 eps eps) |
(pow.f64 (sin.f64 eps) #s(literal 2 binary64)) |
(/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) |
(-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) |
(-.f64 eps (tan.f64 eps)) |
(-.f64 (sin.f64 eps) eps) |
(*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) |
(/.f64 (-.f64 eps (tan.f64 eps)) 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 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64)))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 eps)) (/.f64 (neg.f64 (-.f64 eps (tan.f64 eps))) eps)) |
(-.f64 (/.f64 (/.f64 (*.f64 eps eps) (+.f64 (tan.f64 eps) eps)) eps) (/.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) eps)) |
(-.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))) eps) (/.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 (tan.f64 eps) eps) (*.f64 eps eps))) eps)) |
(-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (tan.f64 eps) eps))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps (-.f64 eps (tan.f64 eps)))) #s(literal -1 binary64))) |
Compiled 46 134 to 4 329 computations (90.6% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 232 | 10 | 1 242 |
| Fresh | 4 | 7 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 238 | 21 | 1 259 |
| Status | Accuracy | Program |
|---|---|---|
| 1.6% | (/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (+.f64 (sin.f64 eps) eps)) | |
| 1.6% | (/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (*.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (+.f64 (tan.f64 eps) eps)))) (-.f64 eps (tan.f64 eps)))) | |
| 1.6% | (/.f64 (-.f64 (*.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) | |
| ✓ | 1.6% | (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))) |
| ▶ | 1.6% | (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) |
| 1.6% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) eps)) | |
| 2.7% | (/.f64 (-.f64 eps (sin.f64 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)))))) | |
| 1.6% | (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)) | |
| ✓ | 2.0% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 1.6% | (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) eps)) (fma.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) | |
| 1.8% | (/.f64 #s(approx (- eps (sin eps)) (*.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)))) (-.f64 eps (tan.f64 eps))) | |
| 2.0% | (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64)) (-.f64 (tan.f64 eps) eps))) | |
| 1.6% | (*.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))) | |
| 3.4% | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps))) | |
| ▶ | 1.6% | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) |
| ▶ | 1.6% | (*.f64 (pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
| 2.0% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) | |
| ✓ | 99.7% | #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))) |
| ▶ | 99.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ▶ | 99.3% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ✓ | 98.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 876 to 484 computations (44.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) | |
| cost-diff | 1024 | (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) | |
| cost-diff | 13696 | (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) | |
| cost-diff | 0 | #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) | |
| cost-diff | 0 | (pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) | |
| cost-diff | 1024 | (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps)) | |
| cost-diff | 6080 | (*.f64 (pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) | |
| cost-diff | 0 | (-.f64 (tan.f64 eps) eps) | |
| cost-diff | 0 | (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) | |
| cost-diff | 1024 | (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) | |
| 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 (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #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(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 381 |
| 0 | 81 | 385 |
| 1 | 140 | 385 |
| 2 | 272 | 381 |
| 3 | 556 | 326 |
| 4 | 1225 | 324 |
| 5 | 3507 | 324 |
| 6 | 7169 | 324 |
| 0 | 8095 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #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(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) |
#s(literal -27/2800 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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
#s(literal -1 binary64) |
#s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)) |
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) |
(-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) |
(/.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
(pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) |
#s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) |
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps)) |
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
eps |
(cos.f64 eps) |
(neg.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))) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) |
(-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(*.f64 eps eps) |
eps |
(pow.f64 (sin.f64 eps) #s(literal 2 binary64)) |
(sin.f64 eps) |
#s(literal 2 binary64) |
(*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps))) |
(+.f64 (sin.f64 eps) eps) |
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)) |
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
(neg.f64 eps) |
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) eps) |
(cos.f64 eps) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #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 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #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 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
(fma.f64 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) |
#s(literal -27/2800 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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) |
(/.f64 #s(approx (- (sin eps) eps) (-.f64 (sin.f64 eps) eps)) (-.f64 (tan.f64 eps) eps)) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
#s(literal -1 binary64) |
#s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)) |
#s(approx (- (sin eps) eps) (-.f64 (sin.f64 eps) eps)) |
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) |
(-.f64 (sin.f64 eps) eps) |
(-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) |
(/.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (-.f64 (sin.f64 eps) eps) #s(approx (- (tan eps) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) eps))) |
(pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) |
(pow.f64 #s(approx (- (tan eps) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) eps)) #s(literal -1 binary64)) |
#s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) |
#s(approx (- (tan eps) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) eps)) |
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps)) |
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) eps) |
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
eps |
(cos.f64 eps) |
(neg.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))) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))))) |
(-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(*.f64 eps eps) |
eps |
(pow.f64 (sin.f64 eps) #s(literal 2 binary64)) |
(sin.f64 eps) |
#s(literal 2 binary64) |
(*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps))) |
(*.f64 #s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))) (+.f64 (sin.f64 eps) eps)) |
(+.f64 (sin.f64 eps) eps) |
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)) |
#s(approx (- eps (tan eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(neg.f64 eps) |
(/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) |
(/.f64 (sin.f64 eps) eps) |
(cos.f64 eps) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08984375 | (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps))) | |
| accuracy | 16.33925165656317 | (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) | |
| accuracy | 20.975863695496454 | (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) | |
| accuracy | 45.37808184305892 | (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) | |
| accuracy | 0.09375 | (pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) | |
| accuracy | 20.94700261750923 | (-.f64 (sin.f64 eps) eps) | |
| accuracy | 20.975863695496454 | (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps)) | |
| accuracy | 41.29068172611996 | (*.f64 (pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) | |
| accuracy | 0.09765625 | (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) | |
| accuracy | 20.965377461724206 | (-.f64 (tan.f64 eps) eps) | |
| accuracy | 32.09080667515719 | (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) | |
| accuracy | 41.29068172611996 | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) | |
| accuracy | 0 | (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (*.f64 eps eps) | |
| accuracy | 0.43669579992759633 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) | |
| accuracy | 0 | (*.f64 eps eps) | |
| accuracy | 0.00390625 | (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) | |
| accuracy | 0.1782705035509472 | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) | |
| accuracy | 0.595792847723468 | #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) |
| 375.0ms | 143× | 2 | valid |
| 96.0ms | 29× | 3 | valid |
| 62.0ms | 81× | 1 | valid |
| 1.0ms | 3× | 0 | valid |
Compiled 647 to 93 computations (85.6% saved)
ival-tan: 166.0ms (34.2% of total)ival-sin: 80.0ms (16.5% of total)ival-cos: 54.0ms (11.1% of total)adjust: 45.0ms (9.3% of total)ival-sub: 39.0ms (8% of total)ival-mult: 35.0ms (7.2% of total)ival-add: 18.0ms (3.7% of total)const: 16.0ms (3.3% of total)ival-div: 15.0ms (3.1% of total)ival-pow: 8.0ms (1.6% of total)ival-pow2: 7.0ms (1.4% of total)exact: 1.0ms (0.2% of total)ival-neg: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #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(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 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) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) |
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(*.f64 (pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps)) |
(pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) |
#s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) |
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
(-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) |
(-.f64 (sin.f64 eps) eps) |
(*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps))) |
| Outputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
9/40 |
(+ 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) |
(* -1/6 (pow eps 3)) |
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(/ 3 (pow eps 3)) |
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3)) |
(* 1/3 (pow eps 3)) |
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2)))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(* 1/3 (pow eps 4)) |
(* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2)))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45)))) |
(* -1/6 (pow eps 2)) |
(* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)) |
(* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(* -2/3 (pow eps 4)) |
(* (pow eps 4) (- (* -19/90 (pow eps 2)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* -223/2520 (pow eps 2)) 19/90)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -8117/226800 (pow eps 2)) 223/2520)) 19/90)) 2/3)) |
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)))))) |
(* 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))))) |
(* -1 eps) |
(* eps (- (/ (sin eps) eps) 1)) |
(/ -1 eps) |
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps) |
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps) |
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))) |
(- (+ 1 (* -1 (/ (pow (sin eps) 2) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (/ (sin eps) eps))))) |
(- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (/ (sin eps) eps))))) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) |
-1 |
(- (/ (sin eps) eps) 1) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (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 (+ 1 (* -1 (/ (sin eps) eps))))) |
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps)) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (pow (sin eps) 2) eps))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps))) |
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (pow (sin eps) 2) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (pow (sin eps) 2) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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 eps) 9/40) -1/2) (* eps eps) (* (pow (- (tan eps) eps) -1) (- (sin eps) eps)) (* (- (/ (sin eps) eps) 1) eps) (pow (- (tan eps) eps) -1) (- (tan eps) eps) (* (pow (- (tan eps) eps) -1) (- (sin eps) eps)) (+ (* (/ (/ (sin eps) eps) (cos eps)) eps) (neg eps)) (pow (- (tan eps) eps) -1) (- (tan eps) eps) (/ (- (* eps eps) (pow (sin eps) 2)) (* (+ (sin eps) eps) (- eps (tan eps)))) (+ (* (neg eps) (/ (/ (sin eps) eps) (cos eps))) eps) (- (* eps eps) (pow (sin eps) 2)) (- (/ (sin eps) eps) 1) (- (sin eps) eps) (* (+ (sin eps) eps) (- eps (tan eps)))) |
| 2.0ms | 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 eps) 9/40) -1/2) (* eps eps) (* (pow (- (tan eps) eps) -1) (- (sin eps) eps)) (* (- (/ (sin eps) eps) 1) eps) (pow (- (tan eps) eps) -1) (- (tan eps) eps) (* (pow (- (tan eps) eps) -1) (- (sin eps) eps)) (+ (* (/ (/ (sin eps) eps) (cos eps)) eps) (neg eps)) (pow (- (tan eps) eps) -1) (- (tan eps) eps) (/ (- (* eps eps) (pow (sin eps) 2)) (* (+ (sin eps) eps) (- eps (tan eps)))) (+ (* (neg eps) (/ (/ (sin eps) eps) (cos eps))) eps) (- (* eps eps) (pow (sin eps) 2)) (- (/ (sin eps) eps) 1) (- (sin eps) eps) (* (+ (sin eps) eps) (- eps (tan 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 eps) 9/40) -1/2) (* eps eps) (* (pow (- (tan eps) eps) -1) (- (sin eps) eps)) (* (- (/ (sin eps) eps) 1) eps) (pow (- (tan eps) eps) -1) (- (tan eps) eps) (* (pow (- (tan eps) eps) -1) (- (sin eps) eps)) (+ (* (/ (/ (sin eps) eps) (cos eps)) eps) (neg eps)) (pow (- (tan eps) eps) -1) (- (tan eps) eps) (/ (- (* eps eps) (pow (sin eps) 2)) (* (+ (sin eps) eps) (- eps (tan eps)))) (+ (* (neg eps) (/ (/ (sin eps) eps) (cos eps))) eps) (- (* eps eps) (pow (sin eps) 2)) (- (/ (sin eps) eps) 1) (- (sin eps) eps) (* (+ (sin eps) eps) (- eps (tan eps)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 356 | 1442 |
| 1 | 1006 | 1385 |
| 2 | 3210 | 1316 |
| 0 | 8149 | 1250 |
| 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) |
(* -1/6 (pow eps 3)) |
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(/ 3 (pow eps 3)) |
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3)) |
(* 1/3 (pow eps 3)) |
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2)))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(* 1/3 (pow eps 4)) |
(* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2)))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45)))) |
(* -1/6 (pow eps 2)) |
(* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)) |
(* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(* -2/3 (pow eps 4)) |
(* (pow eps 4) (- (* -19/90 (pow eps 2)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* -223/2520 (pow eps 2)) 19/90)) 2/3)) |
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -8117/226800 (pow eps 2)) 223/2520)) 19/90)) 2/3)) |
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)))))) |
(* 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))))) |
(* -1 eps) |
(* eps (- (/ (sin eps) eps) 1)) |
(/ -1 eps) |
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps) |
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps) |
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))) |
(- (+ 1 (* -1 (/ (pow (sin eps) 2) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (/ (sin eps) eps))))) |
(- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (/ (sin eps) eps))))) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) |
-1 |
(- (/ (sin eps) eps) 1) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (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 (+ 1 (* -1 (/ (sin eps) eps))))) |
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps)) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (pow (sin eps) 2) eps))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps))) |
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (pow (sin eps) 2) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (pow (sin eps) 2) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #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 (*.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)) |
9/40 |
#s(literal 9/40 binary64) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
(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)) |
-27/2800 |
#s(literal -27/2800 binary64) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) |
(pow eps 2) |
(*.f64 eps eps) |
(* -1/6 (pow eps 3)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) |
(*.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) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(*.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) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(*.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))) |
(/ 3 (pow eps 3)) |
(/.f64 #s(literal 3 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3)) |
(/.f64 (fma.f64 #s(literal -6/5 binary64) (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/175 binary64) (*.f64 eps eps) #s(literal -6/5 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7875 binary64) (*.f64 eps eps) #s(literal -1/175 binary64)) (*.f64 eps eps) #s(literal -6/5 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) (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) (+ 1/3 (* 2/15 (pow eps 2)))) |
(*.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) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) |
(*.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) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) |
(*.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))) |
(* -1/3 (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))) |
(* 1/3 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/3 binary64)) |
(* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2)))) |
(*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/315 binary64) (*.f64 eps eps) #s(literal -2/45 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/14175 binary64) (*.f64 eps eps) #s(literal 1/315 binary64)) (*.f64 eps eps) #s(literal -2/45 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* -1/6 (pow eps 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) eps) eps) |
(* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(*.f64 (*.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)) eps) eps) |
(* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(*.f64 (*.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)) eps) eps) |
(* -2/3 (pow eps 4)) |
(*.f64 #s(literal -2/3 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (* -19/90 (pow eps 2)) 2/3)) |
(*.f64 (fma.f64 #s(literal -19/90 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (* (pow eps 2) (- (* -223/2520 (pow eps 2)) 19/90)) 2/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -223/2520 binary64) (*.f64 eps eps) #s(literal -19/90 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -8117/226800 (pow eps 2)) 223/2520)) 19/90)) 2/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8117/226800 binary64) (*.f64 eps eps) #s(literal -223/2520 binary64)) (*.f64 eps eps) #s(literal -19/90 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 4 binary64))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) |
(* 27/112000 (pow eps 6)) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64))) |
(* 27/112000 (pow eps 4)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 27/112000 binary64)) |
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64))) |
(* 27/112000 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))) eps) eps) |
(* 9/40 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps) |
(* -1 eps) |
(neg.f64 eps) |
(* eps (- (/ (sin eps) eps) 1)) |
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) |
(/ -1 eps) |
(/.f64 #s(literal -1 binary64) eps) |
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) eps) |
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) eps) |
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (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 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) eps) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps)) |
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (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 (/ (pow (sin eps) 2) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (/ (sin eps) eps))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) eps)) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) eps) eps) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))) |
(- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (pow (sin eps) 2)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (/ (sin eps) eps))))) |
(-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) eps)) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 eps) (pow.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)))) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) eps) eps) (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64))) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) eps)) (*.f64 eps eps)) |
-1 |
#s(literal -1 binary64) |
(- (/ (sin eps) eps) 1) |
(-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))) |
(*.f64 eps (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) eps eps)) |
(* (pow eps 2) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) eps))))) |
(*.f64 eps (fma.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (/.f64 (sin.f64 eps) eps) eps)) (/.f64 (sin.f64 eps) 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 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) |
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) eps) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) eps) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (/.f64 (sin.f64 eps) (*.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) eps)) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (neg.f64 eps)) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (/ (pow (sin eps) 2) eps))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps)))) (/.f64 (pow.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64)) eps)) eps)) |
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (pow (sin eps) 2) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (pow (sin eps) 2) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 eps) (pow.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 eps) (pow.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)))) eps)) 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) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)))) |
(*.f64 eps (fma.f64 (/.f64 (+.f64 (sin.f64 eps) (neg.f64 (*.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) eps) eps eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 282 |
| 0 | 81 | 273 |
| 1 | 323 | 248 |
| 2 | 2404 | 246 |
| 0 | 8142 | 240 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #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(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) |
#s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 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) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) |
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(*.f64 (pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps)) |
(pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) |
#s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) |
(fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps) |
(-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) |
(-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) |
(-.f64 (sin.f64 eps) eps) |
(*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps))) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #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 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #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 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #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 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #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 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64)))) (fma.f64 (pow.f64 (fma.f64 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) eps)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #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 (*.f64 eps eps) #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) eps) (*.f64 eps #s(literal -1/2 binary64))))))) |
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(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (sin.f64 eps) (sin.f64 eps) (-.f64 (*.f64 eps eps) (*.f64 (sin.f64 eps) (neg.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))) |
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps)) |
(fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps)) |
(fma.f64 #s(literal -1 binary64) eps (sin.f64 eps)) |
(fma.f64 eps #s(literal -1 binary64) (sin.f64 eps)) |
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (sin.f64 eps) (neg.f64 eps))) (/.f64 (*.f64 eps eps) (-.f64 (sin.f64 eps) (neg.f64 eps)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (sin.f64 eps) (-.f64 (*.f64 eps eps) (*.f64 (sin.f64 eps) (neg.f64 eps))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (sin.f64 eps) (-.f64 (*.f64 eps eps) (*.f64 (sin.f64 eps) (neg.f64 eps)))))) |
(-.f64 (+.f64 (sin.f64 eps) #s(literal 0 binary64)) eps) |
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (+.f64 (sin.f64 eps) eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)) (/.f64 (*.f64 eps eps) (+.f64 (sin.f64 eps) eps))) |
(-.f64 (sin.f64 eps) eps) |
(+.f64 (neg.f64 eps) (sin.f64 eps)) |
(+.f64 (sin.f64 eps) (neg.f64 eps)) |
(*.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (+.f64 (sin.f64 eps) eps)) |
(*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)))) (neg.f64 (-.f64 (sin.f64 eps) eps))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)))) (neg.f64 (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)))) (neg.f64 (-.f64 (sin.f64 eps) eps))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps))) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps))) (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (*.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(fma.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (sin.f64 eps) (*.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) eps)) |
(fma.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) eps (*.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (sin.f64 eps))) |
(fma.f64 (sin.f64 eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (*.f64 eps #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)))) |
(fma.f64 eps #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (*.f64 (sin.f64 eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)))) |
(+.f64 (*.f64 (sin.f64 eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps))) (*.f64 eps #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)))) |
(+.f64 (*.f64 eps #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps))) (*.f64 (sin.f64 eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)))) |
(+.f64 (*.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (sin.f64 eps)) (*.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) eps)) |
(+.f64 (*.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) eps) (*.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (sin.f64 eps))) |
Compiled 26 388 to 2 718 computations (89.7% saved)
21 alts after pruning (15 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 675 | 9 | 684 |
| Fresh | 6 | 6 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 684 | 21 | 705 |
| Status | Accuracy | Program |
|---|---|---|
| 2.6% | (/.f64 (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)) (*.f64 eps eps)) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) | |
| 1.6% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sin.f64 eps) #s(literal 4 binary64))))) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) | |
| 1.6% | (/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (*.f64 (*.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (+.f64 (sin.f64 eps) eps)) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))))) | |
| 1.6% | (/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (*.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (+.f64 (tan.f64 eps) eps)))) (-.f64 eps (tan.f64 eps)))) | |
| ✓ | 1.6% | (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) |
| ✓ | 2.0% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 1.6% | (/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps))) | |
| 1.6% | (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) eps)) (fma.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) | |
| 1.8% | (/.f64 #s(approx (- eps (sin eps)) (*.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)))) (-.f64 eps (tan.f64 eps))) | |
| ▶ | 1.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 eps (sin.f64 eps)))) |
| 1.6% | (*.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))) | |
| ▶ | 3.4% | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps))) |
| ▶ | 2.1% | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))))) |
| ▶ | 1.6% | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps))))) |
| 1.7% | (*.f64 (pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) | |
| ▶ | 2.0% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
| 1.6% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) | |
| ✓ | 99.7% | #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))) |
| ✓ | 99.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.3% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ✓ | 98.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 1 007 to 556 computations (44.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (tan.f64 eps) eps) | |
| cost-diff | 0 | (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps))))) | |
| cost-diff | 6272 | (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps)) | |
| cost-diff | 320 | (*.f64 #s(literal 0 binary64) eps) | |
| cost-diff | 640 | (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))))) | |
| cost-diff | 13952 | (/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))) | |
| cost-diff | 0 | #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) | |
| cost-diff | 0 | (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 eps (sin.f64 eps))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 eps (sin.f64 eps)))) | |
| cost-diff | 1024 | (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps) | |
| cost-diff | 0 | (-.f64 (sin.f64 eps) eps) | |
| cost-diff | 0 | (tan.f64 eps) | |
| cost-diff | 0 | (-.f64 (tan.f64 eps) eps) | |
| cost-diff | 6080 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) | |
| cost-diff | 0 | (-.f64 (tan.f64 eps) eps) | |
| cost-diff | 0 | (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps))) | |
| cost-diff | 8000 | (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 509 |
| 0 | 90 | 432 |
| 1 | 171 | 414 |
| 2 | 343 | 397 |
| 3 | 859 | 391 |
| 4 | 2084 | 371 |
| 5 | 5046 | 359 |
| 0 | 8207 | 355 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps))) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
#s(literal -1 binary64) |
(fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps)) |
(sqrt.f64 (sin.f64 eps)) |
(sin.f64 eps) |
(neg.f64 eps) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) |
#s(literal 1 binary64) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
(-.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 eps (sin.f64 eps)))) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 eps (sin.f64 eps))) |
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) |
(fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps) |
(neg.f64 eps) |
eps |
(/.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))))) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
#s(literal -1 binary64) |
#s(approx (- (sin eps) eps) (/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps)))))) |
(/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))) |
(fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) |
(*.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
(+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) |
#s(literal 0 binary64) |
(fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps)) |
(*.f64 #s(literal 0 binary64) eps) |
(*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64)))) |
(-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps)))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps))))) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
#s(literal -1 binary64) |
#s(approx (- (sin eps) eps) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) |
(-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) |
(/.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps)) |
(+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
#s(literal -1 binary64) |
(fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps)) |
(-.f64 (sin.f64 eps) eps) |
(sqrt.f64 (sin.f64 eps)) |
(sin.f64 eps) |
(neg.f64 eps) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
(-.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 eps (sin.f64 eps)))) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (-.f64 eps (tan.f64 eps)))) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 eps (sin.f64 eps))) |
(/.f64 #s(approx (- eps (tan eps)) (-.f64 eps (tan.f64 eps))) (-.f64 eps (sin.f64 eps))) |
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) |
#s(approx (- eps (tan eps)) (-.f64 eps (tan.f64 eps))) |
(fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps) |
(-.f64 eps (tan.f64 eps)) |
(neg.f64 eps) |
eps |
(/.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
(-.f64 eps (sin.f64 eps)) |
(sin.f64 eps) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))))) |
(/.f64 #s(approx (- (sin eps) eps) (-.f64 (sin.f64 eps) eps)) (-.f64 (tan.f64 eps) eps)) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
#s(literal -1 binary64) |
#s(approx (- (sin eps) eps) (/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps)))))) |
#s(approx (- (sin eps) eps) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))) |
(-.f64 (sin.f64 eps) eps) |
(fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (sin.f64 eps) eps)) |
(*.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
(+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) |
(*.f64 eps eps) |
#s(literal 0 binary64) |
(fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps)) |
(*.f64 eps eps) |
(*.f64 #s(literal 0 binary64) eps) |
#s(literal 0 binary64) |
(*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64)))) |
(neg.f64 (pow.f64 eps #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(neg.f64 (pow.f64 eps #s(literal 3 binary64))) |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps)))) |
(pow.f64 eps #s(literal 3 binary64)) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps))))) |
(/.f64 #s(approx (- (sin eps) eps) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (fma.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) (sin.f64 eps) #s(literal 1 binary64)))) (-.f64 (tan.f64 eps) eps)) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(tan.f64 eps) |
eps |
#s(literal -1 binary64) |
#s(approx (- (sin eps) eps) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps)))) |
#s(approx (- (sin eps) eps) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (fma.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) (sin.f64 eps) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (fma.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) (sin.f64 eps) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) |
(-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) |
(/.f64 (sin.f64 eps) eps) |
(sin.f64 eps) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps)) |
(fma.f64 (/.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) (sin.f64 eps) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10546875 | (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) | |
| accuracy | 20.965377461724206 | (-.f64 (tan.f64 eps) eps) | |
| accuracy | 32.100066512869056 | (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) | |
| accuracy | 41.29068172611996 | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps))))) | |
| accuracy | 15.897910290060574 | (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) | |
| accuracy | 20.965377461724206 | (-.f64 (tan.f64 eps) eps) | |
| accuracy | 41.29068172611996 | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))))) | |
| accuracy | 49.61346272295098 | (/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))) | |
| accuracy | 0.01953125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 eps (sin.f64 eps)))) | |
| accuracy | 20.94700261750923 | (-.f64 eps (sin.f64 eps)) | |
| accuracy | 20.975863695496454 | (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps) | |
| accuracy | 39.88752170600009 | (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 eps (sin.f64 eps))) | |
| accuracy | 0.09375 | (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) | |
| accuracy | 20.94700261750923 | (-.f64 (sin.f64 eps) eps) | |
| accuracy | 20.965377461724206 | (-.f64 (tan.f64 eps) eps) | |
| accuracy | 41.29068172611996 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) | |
| accuracy | 0.09375 | (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) | |
| accuracy | 20.965377461724206 | (-.f64 (tan.f64 eps) eps) | |
| accuracy | 41.29068172611996 | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps))) | |
| accuracy | 58.151648965844814 | (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps)) |
| 316.0ms | 143× | 2 | valid |
| 78.0ms | 81× | 1 | valid |
| 54.0ms | 29× | 3 | valid |
| 1.0ms | 3× | 0 | valid |
Compiled 890 to 97 computations (89.1% saved)
ival-tan: 130.0ms (33.4% of total)ival-sin: 57.0ms (14.6% of total)adjust: 49.0ms (12.6% of total)ival-mult: 48.0ms (12.3% of total)ival-div: 28.0ms (7.2% of total)ival-pow: 24.0ms (6.2% of total)ival-add: 19.0ms (4.9% of total)ival-sub: 18.0ms (4.6% of total)ival-pow2: 8.0ms (2.1% of total)ival-sqrt: 6.0ms (1.5% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps)) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps))) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
(tan.f64 eps) |
(-.f64 (sin.f64 eps) eps) |
(fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 eps (sin.f64 eps)))) |
(/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 eps (sin.f64 eps))) |
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) |
(/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))))) |
(fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) |
(*.f64 #s(literal 0 binary64) eps) |
(+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps)) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) |
(-.f64 eps (sin.f64 eps)) |
(-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) |
| Outputs |
|---|
(* -1/6 (pow eps 3)) |
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
-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) |
(/ 3 (pow eps 3)) |
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3)) |
(* 1/3 (pow eps 3)) |
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2)))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) |
eps |
(* eps (+ 1 (* 1/3 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
-2 |
(- (* -9/10 (pow eps 2)) 2) |
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2) |
(* -1/6 (pow eps 6)) |
(* (pow eps 6) (- (* 1/120 (pow eps 2)) 1/6)) |
(* (pow eps 6) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(* (pow eps 6) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
0 |
3 |
(+ 3 (* -1/2 (pow eps 2))) |
(+ 3 (* (pow eps 2) (- (* 19/360 (pow eps 2)) 1/2))) |
(+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 19/360 (* -17/5040 (pow eps 2)))) 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)))) |
(* -1/2 (pow eps 2)) |
(* (pow eps 2) (- (* 13/120 (pow eps 2)) 1/2)) |
(* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2)) |
(* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* (pow eps 2) (- (* 671/604800 (pow eps 2)) 41/3024)))) 1/2)) |
(* -1/2 (pow eps 3)) |
(* (pow eps 3) (- (* 13/120 (pow eps 2)) 1/2)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 13/120 (* (pow eps 2) (- (* 671/604800 (pow eps 2)) 41/3024)))) 1/2)) |
(* -1 eps) |
(* eps (- (/ (sin eps) eps) 1)) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(/ -1 eps) |
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps) |
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps) |
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(/ (sin eps) (cos eps)) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2))))) |
(* -1 (pow eps 4)) |
(* (pow eps 4) (- (/ (sin eps) eps) 1)) |
(+ 1 (/ (sin eps) eps)) |
(+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
-1 |
(- (/ (pow (sin eps) 3) (pow eps 3)) 1) |
(* eps (- (/ (pow (sin eps) 3) (pow eps 3)) 1)) |
(* -1 (* 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 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps)) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps))) |
(+ 1 (* -1 (/ (- (+ (/ (sin eps) (cos eps)) (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (sin eps)) eps))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | eps | @ | inf | ((+ (* (sqrt (sin eps)) (sqrt (sin eps))) (neg eps)) (* (pow (- (tan eps) eps) -1) (+ (* (sqrt (sin eps)) (sqrt (sin eps))) (neg eps))) (pow (- (tan eps) eps) -1) (- (tan eps) eps) (* (/ 1 (- (tan eps) eps)) (- (sin eps) eps)) (tan eps) (- (sin eps) eps) (+ (* (neg eps) (/ (tan eps) eps)) eps) (/ 1 (/ (- eps (tan eps)) (- eps (sin eps)))) (/ (- eps (tan eps)) (- eps (sin eps))) (- eps (tan eps)) (/ (+ (* (* (sin eps) eps) (+ 0 (+ (* eps eps) (* 0 eps)))) (* eps (- 0 (pow eps 3)))) (* eps (+ 0 (+ (* eps eps) (* 0 eps))))) (* (pow (- (tan eps) eps) -1) (- (sin eps) eps)) (+ (* (* (sin eps) eps) (+ 0 (+ (* eps eps) (* 0 eps)))) (* eps (- 0 (pow eps 3)))) (* 0 eps) (+ (+ (pow (/ (sin eps) eps) 2) 1) (/ (sin eps) eps)) (* (pow (- (tan eps) eps) -1) (- (sin eps) eps)) (/ 1 (- (tan eps) eps)) (- eps (sin eps)) (- (pow (/ (sin eps) eps) 3) 1) (* (- (pow (/ (sin eps) eps) 3) 1) eps)) |
| 3.0ms | eps | @ | -inf | ((+ (* (sqrt (sin eps)) (sqrt (sin eps))) (neg eps)) (* (pow (- (tan eps) eps) -1) (+ (* (sqrt (sin eps)) (sqrt (sin eps))) (neg eps))) (pow (- (tan eps) eps) -1) (- (tan eps) eps) (* (/ 1 (- (tan eps) eps)) (- (sin eps) eps)) (tan eps) (- (sin eps) eps) (+ (* (neg eps) (/ (tan eps) eps)) eps) (/ 1 (/ (- eps (tan eps)) (- eps (sin eps)))) (/ (- eps (tan eps)) (- eps (sin eps))) (- eps (tan eps)) (/ (+ (* (* (sin eps) eps) (+ 0 (+ (* eps eps) (* 0 eps)))) (* eps (- 0 (pow eps 3)))) (* eps (+ 0 (+ (* eps eps) (* 0 eps))))) (* (pow (- (tan eps) eps) -1) (- (sin eps) eps)) (+ (* (* (sin eps) eps) (+ 0 (+ (* eps eps) (* 0 eps)))) (* eps (- 0 (pow eps 3)))) (* 0 eps) (+ (+ (pow (/ (sin eps) eps) 2) 1) (/ (sin eps) eps)) (* (pow (- (tan eps) eps) -1) (- (sin eps) eps)) (/ 1 (- (tan eps) eps)) (- eps (sin eps)) (- (pow (/ (sin eps) eps) 3) 1) (* (- (pow (/ (sin eps) eps) 3) 1) eps)) |
| 2.0ms | eps | @ | 0 | ((+ (* (sqrt (sin eps)) (sqrt (sin eps))) (neg eps)) (* (pow (- (tan eps) eps) -1) (+ (* (sqrt (sin eps)) (sqrt (sin eps))) (neg eps))) (pow (- (tan eps) eps) -1) (- (tan eps) eps) (* (/ 1 (- (tan eps) eps)) (- (sin eps) eps)) (tan eps) (- (sin eps) eps) (+ (* (neg eps) (/ (tan eps) eps)) eps) (/ 1 (/ (- eps (tan eps)) (- eps (sin eps)))) (/ (- eps (tan eps)) (- eps (sin eps))) (- eps (tan eps)) (/ (+ (* (* (sin eps) eps) (+ 0 (+ (* eps eps) (* 0 eps)))) (* eps (- 0 (pow eps 3)))) (* eps (+ 0 (+ (* eps eps) (* 0 eps))))) (* (pow (- (tan eps) eps) -1) (- (sin eps) eps)) (+ (* (* (sin eps) eps) (+ 0 (+ (* eps eps) (* 0 eps)))) (* eps (- 0 (pow eps 3)))) (* 0 eps) (+ (+ (pow (/ (sin eps) eps) 2) 1) (/ (sin eps) eps)) (* (pow (- (tan eps) eps) -1) (- (sin eps) eps)) (/ 1 (- (tan eps) eps)) (- eps (sin eps)) (- (pow (/ (sin eps) eps) 3) 1) (* (- (pow (/ (sin eps) eps) 3) 1) eps)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 360 | 1354 |
| 1 | 999 | 1287 |
| 2 | 3192 | 1218 |
| 0 | 8556 | 1136 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow eps 3)) |
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
-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) |
(/ 3 (pow eps 3)) |
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3)) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3)) |
(* 1/3 (pow eps 3)) |
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2)))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) |
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) |
eps |
(* eps (+ 1 (* 1/3 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
-2 |
(- (* -9/10 (pow eps 2)) 2) |
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2) |
(* -1/6 (pow eps 6)) |
(* (pow eps 6) (- (* 1/120 (pow eps 2)) 1/6)) |
(* (pow eps 6) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(* (pow eps 6) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
0 |
3 |
(+ 3 (* -1/2 (pow eps 2))) |
(+ 3 (* (pow eps 2) (- (* 19/360 (pow eps 2)) 1/2))) |
(+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 19/360 (* -17/5040 (pow eps 2)))) 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)))) |
(* -1/2 (pow eps 2)) |
(* (pow eps 2) (- (* 13/120 (pow eps 2)) 1/2)) |
(* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2)) |
(* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* (pow eps 2) (- (* 671/604800 (pow eps 2)) 41/3024)))) 1/2)) |
(* -1/2 (pow eps 3)) |
(* (pow eps 3) (- (* 13/120 (pow eps 2)) 1/2)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2)) |
(* (pow eps 3) (- (* (pow eps 2) (+ 13/120 (* (pow eps 2) (- (* 671/604800 (pow eps 2)) 41/3024)))) 1/2)) |
(* -1 eps) |
(* eps (- (/ (sin eps) eps) 1)) |
1 |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(/ -1 eps) |
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps) |
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps) |
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(/ (sin eps) (cos eps)) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2))))) |
(* -1 (pow eps 4)) |
(* (pow eps 4) (- (/ (sin eps) eps) 1)) |
(+ 1 (/ (sin eps) eps)) |
(+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
-1 |
(- (/ (pow (sin eps) 3) (pow eps 3)) 1) |
(* eps (- (/ (pow (sin eps) 3) (pow eps 3)) 1)) |
(* -1 (* 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 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps)) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps))) |
(+ 1 (* -1 (/ (- (+ (/ (sin eps) (cos eps)) (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (sin eps)) eps))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps))) |
(+ 1 (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) eps))) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))) |
| Outputs |
|---|
(* -1/6 (pow eps 3)) |
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) |
(*.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) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(*.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) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(*.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))) |
-1/2 |
#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)) |
(/ 3 (pow eps 3)) |
(/.f64 #s(literal 3 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 3)) |
(/.f64 (fma.f64 #s(literal -6/5 binary64) (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/175 binary64) (*.f64 eps eps) #s(literal -6/5 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 3)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7875 binary64) (*.f64 eps eps) #s(literal -1/175 binary64)) (*.f64 eps eps) #s(literal -6/5 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) (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) (+ 1/3 (* 2/15 (pow eps 2)))) |
(*.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) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))) |
(*.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) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2)))))))) |
(*.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))) |
eps |
(* eps (+ 1 (* 1/3 (pow eps 2)))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) |
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps) |
(* -1/3 (pow eps 3)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (*.f64 eps eps) #s(literal -17/315 binary64)) (*.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
-2 |
#s(literal -2 binary64) |
(- (* -9/10 (pow eps 2)) 2) |
(fma.f64 #s(literal -9/10 binary64) (*.f64 eps eps) #s(literal -2 binary64)) |
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2) |
(fma.f64 (fma.f64 #s(literal -513/1400 binary64) (*.f64 eps eps) #s(literal -9/10 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) |
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -297/2000 binary64) (*.f64 eps eps) #s(literal -513/1400 binary64)) (*.f64 eps eps) #s(literal -9/10 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) |
(* -1/6 (pow eps 6)) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/6 binary64)) |
(* (pow eps 6) (- (* 1/120 (pow eps 2)) 1/6)) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* (pow eps 6) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (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 eps 6) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6)) |
(*.f64 (pow.f64 eps #s(literal 6 binary64)) (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))) |
0 |
#s(literal 0 binary64) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1/2 (pow eps 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps eps) #s(literal 3 binary64)) |
(+ 3 (* (pow eps 2) (- (* 19/360 (pow eps 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 19/360 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) |
(+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 19/360 (* -17/5040 (pow eps 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/5040 binary64) (*.f64 eps eps) #s(literal 19/360 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps 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))) |
(* -1/2 (pow eps 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- (* 13/120 (pow eps 2)) 1/2)) |
(*.f64 (*.f64 (fma.f64 #s(literal 13/120 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) eps) eps) |
(* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -41/3024 binary64) (*.f64 eps eps) #s(literal 13/120 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) eps) eps) |
(* (pow eps 2) (- (* (pow eps 2) (+ 13/120 (* (pow eps 2) (- (* 671/604800 (pow eps 2)) 41/3024)))) 1/2)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 671/604800 binary64) (*.f64 eps eps) #s(literal -41/3024 binary64)) (*.f64 eps eps) #s(literal 13/120 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) eps) eps) |
(* -1/2 (pow eps 3)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* 13/120 (pow eps 2)) 1/2)) |
(*.f64 (fma.f64 #s(literal 13/120 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (+ 13/120 (* -41/3024 (pow eps 2)))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -41/3024 binary64) (*.f64 eps eps) #s(literal 13/120 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (- (* (pow eps 2) (+ 13/120 (* (pow eps 2) (- (* 671/604800 (pow eps 2)) 41/3024)))) 1/2)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 671/604800 binary64) (*.f64 eps eps) #s(literal -41/3024 binary64)) (*.f64 eps eps) #s(literal 13/120 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) (pow.f64 eps #s(literal 3 binary64))) |
(* -1 eps) |
(neg.f64 eps) |
(* eps (- (/ (sin eps) eps) 1)) |
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) 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))))) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) |
(/ -1 eps) |
(/.f64 #s(literal -1 binary64) eps) |
(/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) eps) |
(/ (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps))))) eps) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) eps) |
(/ (- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (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 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) eps) |
(* eps (- (/ (sin eps) (* eps (cos eps))) 1)) |
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps)) |
(/ (sin eps) (cos eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) (neg.f64 eps) eps) |
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2))))) |
(fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64))) |
(* -1 (pow eps 4)) |
(neg.f64 (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (- (/ (sin eps) eps) 1)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))) |
(+ 1 (/ (sin eps) eps)) |
(+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) |
(+ 1 (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (pow eps 2)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps) |
-1 |
#s(literal -1 binary64) |
(- (/ (pow (sin eps) 3) (pow eps 3)) 1) |
(-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* eps (- (/ (pow (sin eps) 3) (pow eps 3)) 1)) |
(fma.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) eps (neg.f64 eps)) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps))))) |
(*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (sin.f64 eps)) eps)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) eps)) |
(* -1 (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) eps) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) eps) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps))) eps)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) eps)) eps) #s(literal -1 binary64)) eps) |
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))) |
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps)) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) (neg.f64 eps) eps) |
(+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps))) |
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (/ (sin eps) (cos eps)) (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (sin eps)) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 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)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))) eps)) eps)) |
(+ 1 (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) eps))) eps))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (/.f64 (sin.f64 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 (/ (pow (sin eps) 3) (pow eps 3)))))) |
(fma.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) eps (neg.f64 eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 285 |
| 0 | 90 | 250 |
| 1 | 383 | 222 |
| 2 | 3244 | 215 |
| 0 | 8909 | 210 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps)) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps))) |
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) |
(-.f64 (tan.f64 eps) eps) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
(tan.f64 eps) |
(-.f64 (sin.f64 eps) eps) |
(fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 eps (sin.f64 eps)))) |
(/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 eps (sin.f64 eps))) |
#s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) |
(/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))))) |
(fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) |
(*.f64 #s(literal 0 binary64) eps) |
(+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps)) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) |
(-.f64 eps (sin.f64 eps)) |
(-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) |
| Outputs |
|---|
(*.f64 (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (-.f64 (sin.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps)) |
(*.f64 #s(literal -1 binary64) (-.f64 eps (sin.f64 eps))) |
(pow.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps eps))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps eps)))) (neg.f64 (neg.f64 (-.f64 (sin.f64 eps) eps)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) (neg.f64 (-.f64 (sin.f64 eps) eps))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps eps)))) (neg.f64 (-.f64 (sin.f64 eps) eps))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps eps))) (neg.f64 (-.f64 (sin.f64 eps) eps))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (sin.f64 eps) eps))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (sin.f64 eps) eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) |
(/.f64 (neg.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 (*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps eps))) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (neg.f64 (-.f64 (sin.f64 eps) eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (sin.f64 eps))) |
(/.f64 (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (neg.f64 (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (sin.f64 eps) eps)))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) eps) (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps eps))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))) |
(neg.f64 (-.f64 eps (sin.f64 eps))) |
(fma.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 eps) #s(literal 1/4 binary64)) (*.f64 #s(literal 1 binary64) eps)) |
(fma.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 eps) #s(literal 1/4 binary64)) eps) |
(fma.f64 (pow.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 1/4 binary64)) (*.f64 #s(literal 1 binary64) eps)) |
(fma.f64 (pow.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 1/4 binary64)) eps) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) (*.f64 #s(literal 1 binary64) eps)) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64))) eps) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) eps)) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) eps) |
(fma.f64 #s(literal 1 binary64) (sin.f64 eps) (*.f64 #s(literal 1 binary64) eps)) |
(fma.f64 #s(literal 1 binary64) eps (*.f64 #s(literal 1 binary64) (sin.f64 eps))) |
(fma.f64 #s(literal -1 binary64) eps (neg.f64 (neg.f64 (sin.f64 eps)))) |
(fma.f64 #s(literal -1 binary64) eps (sin.f64 eps)) |
(fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (*.f64 #s(literal 1 binary64) eps)) |
(fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) eps) |
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (*.f64 eps #s(literal 1 binary64))) |
(fma.f64 eps #s(literal 1 binary64) (*.f64 (sin.f64 eps) #s(literal 1 binary64))) |
(fma.f64 eps #s(literal -1 binary64) (neg.f64 (neg.f64 (sin.f64 eps)))) |
(fma.f64 eps #s(literal -1 binary64) (sin.f64 eps)) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (sin.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 eps (sin.f64 eps)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (sin.f64 eps) eps)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps (-.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 (sin.f64 eps) eps))))) |
(-.f64 (+.f64 (sin.f64 eps) #s(literal 0 binary64)) eps) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 (sin.f64 eps) eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (-.f64 (sin.f64 eps) eps)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (sin.f64 eps) eps)) (/.f64 (*.f64 eps eps) (-.f64 (sin.f64 eps) eps))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (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)) (neg.f64 (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps))))) |
(-.f64 #s(literal 0 binary64) (-.f64 eps (sin.f64 eps))) |
(-.f64 (sin.f64 eps) eps) |
(+.f64 (-.f64 (sin.f64 eps) #s(literal 0 binary64)) eps) |
(+.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 (sin.f64 eps) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1 binary64) (sin.f64 eps))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 eps)) (*.f64 #s(literal 1 binary64) eps)) |
(+.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 eps #s(literal 1 binary64))) |
(+.f64 (sin.f64 eps) (*.f64 #s(literal 1 binary64) eps)) |
(+.f64 (sin.f64 eps) eps) |
(+.f64 eps (neg.f64 (neg.f64 (sin.f64 eps)))) |
(+.f64 eps (sin.f64 eps)) |
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) (-.f64 (tan.f64 eps) eps)) |
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (-.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (sin.f64 eps) eps) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1/2 binary64)) (-.f64 (sin.f64 eps) eps))) |
(*.f64 (-.f64 (sin.f64 eps) eps) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
(pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (sin.f64 eps) eps))) (neg.f64 (-.f64 eps (tan.f64 eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))) (neg.f64 (-.f64 (sin.f64 eps) eps))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps))) (neg.f64 (-.f64 eps (tan.f64 eps)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 eps) eps) #s(literal -1 binary64))) (neg.f64 (-.f64 eps (tan.f64 eps)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps eps)))) (neg.f64 (-.f64 (sin.f64 eps) eps))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #s(literal 2 binary64)) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps)))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (tan.f64 eps) eps)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (sin.f64 eps) (*.f64 eps eps)))) (neg.f64 (*.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 (tan.f64 eps) eps) (fma.f64 eps (-.f64 eps (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 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 (-.f64 (sin.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))))) |
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) eps) |
(fma.f64 #s(literal -1 binary64) (sin.f64 eps) eps) |
(fma.f64 #s(literal -1 binary64) eps (neg.f64 (sin.f64 eps))) |
(fma.f64 (sqrt.f64 (sin.f64 eps)) (neg.f64 (sqrt.f64 (sin.f64 eps))) eps) |
(fma.f64 eps #s(literal -1 binary64) (neg.f64 (sin.f64 eps))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (neg.f64 (sin.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 eps (neg.f64 (sin.f64 eps))))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 (sin.f64 eps) eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (sin.f64 eps) eps))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)))) |
(-.f64 eps (sin.f64 eps)) |
(+.f64 (neg.f64 (sin.f64 eps)) eps) |
(+.f64 eps (neg.f64 (sin.f64 eps))) |
(*.f64 (+.f64 (pow.f64 (/.f64 eps (sin.f64 eps)) #s(literal -3/2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 eps (sin.f64 eps)) #s(literal -3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64))) (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64))) (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64))) (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 3/2 binary64)) (pow.f64 eps #s(literal -3/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) (sin.f64 eps)) (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal -3 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (*.f64 eps (/.f64 eps (sin.f64 eps))) #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (sin.f64 eps)) eps) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 eps (sin.f64 eps)) #s(literal -3/2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 eps (sin.f64 eps)) #s(literal -3/2 binary64)) (*.f64 (pow.f64 (/.f64 eps (sin.f64 eps)) #s(literal -3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 eps (sin.f64 eps)) #s(literal -3/2 binary64)) (pow.f64 (/.f64 eps (sin.f64 eps)) #s(literal -3/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 eps #s(literal -3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal -3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal -3 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(fma.f64 (sin.f64 eps) (*.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(expm1.f64 (-.f64 (*.f64 (log.f64 (sin.f64 eps)) #s(literal 3 binary64)) (*.f64 (log.f64 eps) #s(literal 3 binary64)))) |
(expm1.f64 (fma.f64 (log.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 3/2 binary64)))) |
(expm1.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 (pow.f64 (/.f64 eps (sin.f64 eps)) #s(literal -3/2 binary64))) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(expm1.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64)) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64))) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) eps) |
(*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) |
(*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) eps eps)) |
(*.f64 eps (neg.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(*.f64 eps (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) #s(literal 1 binary64)) eps)) (neg.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64)) #s(literal 1 binary64)) eps)) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64))))) |
(/.f64 (*.f64 eps (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 eps (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)) #s(literal 1 binary64)) eps) (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 9 binary64)) #s(literal 1 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 6 binary64)))) |
(neg.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) eps eps)) |
(fma.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) eps eps) |
(fma.f64 eps (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) eps) |
(-.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) eps eps)) |
(+.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) eps) eps) |
(+.f64 (*.f64 eps (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) eps) |
Compiled 40 516 to 3 722 computations (90.8% saved)
22 alts after pruning (14 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 115 | 5 | 1 120 |
| Fresh | 1 | 9 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 119 | 22 | 1 141 |
| Status | Accuracy | Program |
|---|---|---|
| 2.6% | (/.f64 (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)) (*.f64 eps eps)) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) | |
| 1.6% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sin.f64 eps) #s(literal 4 binary64))))) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) | |
| 1.6% | (/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (*.f64 (*.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (+.f64 (sin.f64 eps) eps)) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))))) | |
| 1.6% | (/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (*.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (+.f64 (tan.f64 eps) eps)))) (-.f64 eps (tan.f64 eps)))) | |
| ✓ | 1.6% | (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) |
| ✓ | 2.0% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 1.6% | (/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps))) | |
| 1.6% | (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) eps)) (fma.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) | |
| 1.8% | (/.f64 #s(approx (- eps (sin eps)) (*.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)))) (-.f64 eps (tan.f64 eps))) | |
| ✓ | 1.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 eps (sin.f64 eps)))) |
| 1.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) #s(approx (- eps (sin eps)) (*.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)))))) | |
| 2.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)))) | |
| 1.6% | (*.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))) | |
| 1.6% | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 3 binary64)) #s(literal -1 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps))))) | |
| 1.6% | (*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) #s(approx (+ (+ (pow (/ (sin eps) eps) 2) 1) (/ (sin eps) eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))))) | |
| 2.1% | (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (tan.f64 eps) eps))) #s(approx (- (sin eps) eps) (/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))))) | |
| ✓ | 2.0% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
| 1.6% | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) | |
| ✓ | 99.7% | #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))) |
| ✓ | 99.5% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
| ✓ | 99.3% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
| ✓ | 98.9% | #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Compiled 1 741 to 581 computations (66.6% 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 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #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 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps)) |
(/.f64 (-.f64 eps (sin.f64 eps)) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (-.f64 eps (sin.f64 eps)))) |
(/.f64 #s(approx (- eps (sin eps)) (*.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)))) (-.f64 eps (tan.f64 eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) #s(approx (- eps (sin eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) #s(approx (- eps (sin eps)) (*.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)))))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 eps (sin.f64 eps)) #s(literal -1 binary64)) (-.f64 (tan.f64 eps) eps))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) 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)) |
(fma.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) eps (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 eps))) |
(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (+.f64 (sin.f64 eps) eps)) |
(*.f64 (pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps)) |
(*.f64 (pow.f64 #s(approx (- (tan eps) eps) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (*.f64 (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))))) |
(*.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 (-.f64 (*.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)) (*.f64 (-.f64 (tan.f64 eps) eps) (neg.f64 (sin.f64 eps)))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) eps)) |
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) |
(/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)) (*.f64 eps eps)) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) #s(approx (+ (+ (pow (/ (sin eps) eps) 2) 1) (/ (sin eps) eps)) (fma.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (tan.f64 eps) eps))) #s(approx (- (sin eps) eps) (/.f64 (fma.f64 (*.f64 (sin.f64 eps) eps) (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))) (*.f64 eps (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))))) (*.f64 eps (+.f64 #s(literal 0 binary64) (fma.f64 eps eps (*.f64 #s(literal 0 binary64) eps))))))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sin.f64 eps) #s(literal 4 binary64))))) (*.f64 (+.f64 (sin.f64 eps) eps) #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps)))) |
(/.f64 (-.f64 (-.f64 eps (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps))) (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (*.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps (+.f64 (tan.f64 eps) eps)))) (-.f64 eps (tan.f64 eps)))) |
(/.f64 (-.f64 eps (sin.f64 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)))))) |
(/.f64 (-.f64 eps (sin.f64 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)))))) |
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) #s(approx (- (sin eps) eps) (/.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 eps) eps)) #s(literal 3 binary64)) #s(literal -1 binary64)) eps) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (*.f64 (*.f64 #s(approx (- eps (tan eps)) (fma.f64 (neg.f64 eps) (/.f64 (tan.f64 eps) eps) eps)) (+.f64 (sin.f64 eps) eps)) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) eps)) (fma.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (sin.f64 eps) (-.f64 eps (tan.f64 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:
| 11.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 11.0ms | 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))) |
#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 #s(approx (+ (* 27/112000 (* eps eps)) -27/2800) #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 |
|---|---|---|
| 99.5% | 1 | eps |
| 99.5% | 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 |
|---|---|---|
| 99.3% | 1 | eps |
| 99.3% | 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 |
|---|---|---|
| 98.9% | 1 | eps |
| 98.9% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 74 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))) |
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 458 |
| 1 | 422 | 429 |
| 2 | 1321 | 404 |
| 3 | 5649 | 381 |
| 0 | 8475 | 355 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
Compiled 108 to 44 computations (59.3% saved)
(abs eps)
Compiled 232 to 96 computations (58.6% saved)
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