
Time bar (total: 13.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 6 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 7 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 8 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 9 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 10 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 11 |
| 0% | 0% | 49.9% | 50.1% | 0% | 0% | 0% | 12 |
Compiled 17 to 12 computations (29.4% saved)
| 7.1s | 4 537× | 2 | valid |
| 1.3s | 1 164× | 3 | valid |
| 554.0ms | 2 432× | 1 | valid |
| 12.0ms | 123× | 0 | valid |
ival-tan: 5.1s (61.1% of total)ival-sin: 2.2s (26.4% of total)adjust: 296.0ms (3.5% of total)const: 288.0ms (3.4% of total)ival-sub: 254.0ms (3% of total)ival-div: 140.0ms (1.7% of total)ival-<=: 50.0ms (0.6% of total)ival-and: 12.0ms (0.1% of total)ival-assert: 4.0ms (0% of total)| 1× | egg-herbie |
| 320× | lower-fma.f64 |
| 320× | lower-fma.f32 |
| 192× | lower-*.f64 |
| 192× | lower-*.f32 |
| 144× | div-sub |
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))) |
(abs eps)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 168 | 0 | - | 5 | (2.6556715074892124e-108) | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 92 | 1 | (2.6556715074892124e-108) | 0 | - | (-.f64 eps (tan.f64 eps)) |
| 92 | 1 | (2.6556715074892124e-108) | 0 | - | (-.f64 eps (sin.f64 eps)) |
| 0 | 0 | - | 0 | - | (tan.f64 eps) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (sin.f64 eps) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) | u/u | 163 | 0 |
| ↳ | (-.f64 eps (sin.f64 eps)) | underflow | 163 | |
| ↳ | (-.f64 eps (tan.f64 eps)) | underflow | 163 | |
-.f64 | (-.f64 eps (sin.f64 eps)) | cancellation | 93 | 0 |
-.f64 | (-.f64 eps (tan.f64 eps)) | cancellation | 93 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 163 |
| 2 | 93 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 314.0ms | 284× | 2 | valid |
| 82.0ms | 74× | 3 | valid |
| 25.0ms | 150× | 1 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 68 to 28 computations (58.8% saved)
ival-tan: 237.0ms (62.1% of total)ival-sin: 91.0ms (23.9% of total)ival-div: 23.0ms (6% of total)adjust: 15.0ms (3.9% of total)ival-sub: 14.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 0.7% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 10 to 6 computations (40% 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))) |
| 320× | lower-fma.f64 |
| 320× | lower-fma.f32 |
| 192× | lower-*.f64 |
| 192× | lower-*.f32 |
| 144× | div-sub |
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 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 | 100.0% | (sin.f64 eps) |
| ✓ | accuracy | 68.2% | (-.f64 eps (sin.f64 eps)) |
| ✓ | accuracy | 68.2% | (-.f64 eps (tan.f64 eps)) |
| ✓ | accuracy | 35.6% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 122.0ms | 142× | 2 | valid |
| 31.0ms | 37× | 3 | valid |
| 12.0ms | 75× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 24 to 8 computations (66.7% saved)
ival-tan: 87.0ms (57.1% of total)ival-sin: 46.0ms (30.2% of total)adjust: 8.0ms (5.2% of total)ival-sub: 7.0ms (4.6% of total)ival-div: 3.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))> |
#<alt (-.f64 eps (sin.f64 eps))> |
#<alt (sin.f64 eps)> |
#<alt (-.f64 eps (tan.f64 eps))> |
| Outputs |
|---|
#<alt -1/2> |
#<alt (- (* 9/40 (pow eps 2)) 1/2)> |
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)> |
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))> |
#<alt (- (+ 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)))))> |
#<alt (- (+ 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))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))> |
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))> |
#<alt (+ 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)))> |
#<alt (* 1/6 (pow eps 3))> |
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))> |
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))> |
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))> |
#<alt eps> |
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))> |
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))> |
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))> |
#<alt eps> |
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))> |
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))> |
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))> |
#<alt eps> |
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))> |
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))> |
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (* -1/3 (pow eps 3))> |
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))> |
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))> |
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))> |
#<alt eps> |
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))> |
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))> |
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))> |
#<alt eps> |
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))> |
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))> |
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | eps | @ | inf | (- eps (sin eps)) |
| 1.0ms | eps | @ | inf | (/ (- eps (sin eps)) (- eps (tan eps))) |
| 1.0ms | eps | @ | -inf | (/ (- eps (sin eps)) (- eps (tan eps))) |
| 1.0ms | eps | @ | 0 | (/ (- eps (sin eps)) (- eps (tan eps))) |
| 0.0ms | eps | @ | -inf | (- eps (tan eps)) |
| 1× | batch-egg-rewrite |
| 4 318× | lower-*.f64 |
| 4 318× | lower-*.f32 |
| 3 264× | lower-/.f32 |
| 3 262× | lower-/.f64 |
| 2 758× | lower-fma.f64 |
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 |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))) |
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)))) |
(+.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (neg.f64 (sin.f64 eps)))) |
(+.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (neg.f64 (sin.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps)))) |
(+.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 eps eps)) (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) |
(+.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 eps eps))) |
(+.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 eps (tan.f64 eps)))) |
(+.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) eps) (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (tan.f64 eps))) |
(+.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (tan.f64 eps)) (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) eps)) |
(+.f64 (*.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 eps eps) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (*.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (*.f64 (*.f64 eps eps) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (*.f64 (*.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 eps (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 (tan.f64 eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (tan.f64 eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (*.f64 eps (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (tan.f64 eps) eps))) |
(-.f64 (/.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (-.f64 eps (tan.f64 eps))) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (-.f64 eps (tan.f64 eps)))) |
(-.f64 (/.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (tan.f64 eps) eps))) |
(-.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (*.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))))) |
(-.f64 (/.f64 (*.f64 eps eps) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))) |
(-.f64 (/.f64 (*.f64 eps (-.f64 eps (tan.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (+.f64 eps (sin.f64 eps))) (*.f64 (*.f64 eps eps) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) (+.f64 eps (sin.f64 eps))) (*.f64 (*.f64 eps eps) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))))) |
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(/.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 eps (tan.f64 eps))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 eps (tan.f64 eps))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))) |
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (neg.f64 (tan.f64 eps)) eps)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 2 binary64))) (fma.f64 eps (/.f64 (*.f64 eps eps) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))) (+.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (+.f64 (fma.f64 eps (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)))) |
(*.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps)) (*.f64 (-.f64 eps (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))) |
(*.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) |
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) #s(literal 1 binary64))) |
(*.f64 (+.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))) |
(*.f64 (+.f64 eps (tan.f64 eps)) (*.f64 (-.f64 eps (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))) |
(*.f64 #s(literal -1 binary64) (-.f64 (tan.f64 eps) eps)) |
(*.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 eps (tan.f64 eps))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))) (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 eps (*.f64 eps eps) (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 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 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) (pow.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (-.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (pow.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) |
| 1× | egg-herbie |
| 12 288× | lower-fma.f64 |
| 12 288× | lower-fma.f32 |
| 6 122× | lower-*.f64 |
| 6 122× | lower-*.f32 |
| 1 424× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 561 |
| 1 | 422 | 524 |
| 2 | 1321 | 499 |
| 3 | 5650 | 444 |
| 0 | 8479 | 418 |
| 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 |
(- (+ 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 |
(+ 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))) |
(* 1/6 (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 (/ (sin eps) eps)))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
eps |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
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)))) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(* -1/3 (pow eps 3)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
eps |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos 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 #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 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 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 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.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 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (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 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps)) |
(* 1/6 (pow eps 3)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64)) |
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2)))) |
(*.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(-.f64 eps (sin.f64 eps)) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(-.f64 eps (sin.f64 eps)) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(-.f64 eps (sin.f64 eps)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(-.f64 eps (sin.f64 eps)) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(-.f64 eps (sin.f64 eps)) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(* -1/3 (pow eps 3)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/3 binary64)) |
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3)) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 eps (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -17/315 binary64)) #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -62/2835 binary64) #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) #s(literal -1/3 binary64)))) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
eps |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) |
Compiled 12 434 to 1 225 computations (90.1% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 458 | 4 | 462 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 459 | 4 | 463 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ▶ | 99.9% | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ▶ | 99.7% | (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
| ▶ | 99.5% | #s(literal -1/2 binary64) |
Compiled 38 to 26 computations (31.6% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 eps #s(literal -27/2800 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
| 672× | lower-fma.f32 |
| 660× | lower-fma.f64 |
| 242× | lower-*.f32 |
| 234× | lower-*.f64 |
| 162× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 92 |
| 0 | 31 | 92 |
| 1 | 70 | 92 |
| 2 | 157 | 92 |
| 3 | 312 | 92 |
| 4 | 526 | 92 |
| 5 | 596 | 92 |
| 6 | 597 | 92 |
| 0 | 597 | 92 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(literal -1/2 binary64) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
#s(literal 9/40 binary64) |
(*.f64 eps eps) |
eps |
#s(literal -1/2 binary64) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(*.f64 eps #s(literal -27/2800 binary64)) |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) |
(*.f64 eps #s(literal 27/112000 binary64)) |
#s(literal 27/112000 binary64) |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(literal -1/2 binary64) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
#s(literal 9/40 binary64) |
(*.f64 eps eps) |
eps |
#s(literal -1/2 binary64) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(*.f64 eps #s(literal -27/2800 binary64)) |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
eps |
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) |
(*.f64 eps #s(literal 27/112000 binary64)) |
#s(literal 27/112000 binary64) |
#s(literal -27/2800 binary64) |
#s(literal 9/40 binary64) |
#s(literal -1/2 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| ✓ | accuracy | 100.0% | (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 eps #s(literal 27/112000 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| ✓ | accuracy | 99.4% | (*.f64 eps #s(literal -27/2800 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| 56.0ms | 256× | 0 | valid |
Compiled 105 to 23 computations (78.1% saved)
const: 19.0ms (45.3% of total)ival-mult: 14.0ms (33.3% of total)ival-add: 8.0ms (19.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))> |
#<alt (*.f64 eps eps)> |
#<alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))> |
#<alt (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))> |
#<alt (*.f64 eps #s(literal -27/2800 binary64))> |
#<alt (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))> |
#<alt (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))> |
#<alt (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))> |
#<alt (*.f64 eps #s(literal 27/112000 binary64))> |
#<alt (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))> |
| Outputs |
|---|
#<alt -1/2> |
#<alt (- (* 9/40 (pow eps 2)) 1/2)> |
#<alt (- (* 9/40 (pow eps 2)) 1/2)> |
#<alt (- (* 9/40 (pow eps 2)) 1/2)> |
#<alt (* 9/40 (pow eps 2))> |
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* 9/40 (pow eps 2))> |
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt -1/2> |
#<alt (- (* 9/40 (pow eps 2)) 1/2)> |
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)> |
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)> |
#<alt (* -27/2800 (pow eps 4))> |
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))> |
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))> |
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))> |
#<alt (* -27/2800 (pow eps 4))> |
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))> |
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))> |
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))> |
#<alt 9/40> |
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))> |
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))> |
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))> |
#<alt (* -27/2800 (pow eps 2))> |
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))> |
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))> |
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))> |
#<alt (* -27/2800 (pow eps 2))> |
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))> |
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))> |
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))> |
#<alt (* -27/2800 eps)> |
#<alt (* -27/2800 eps)> |
#<alt (* -27/2800 eps)> |
#<alt (* -27/2800 eps)> |
#<alt (* -27/2800 eps)> |
#<alt (* -27/2800 eps)> |
#<alt (* -27/2800 eps)> |
#<alt (* -27/2800 eps)> |
#<alt (* -27/2800 eps)> |
#<alt (* -27/2800 eps)> |
#<alt (* -27/2800 eps)> |
#<alt (* -27/2800 eps)> |
#<alt -1/2> |
#<alt (- (* 9/40 (pow eps 2)) 1/2)> |
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)> |
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)> |
#<alt (* 27/112000 (pow eps 6))> |
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))> |
#<alt (* 27/112000 (pow eps 6))> |
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))> |
#<alt 9/40> |
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))> |
#<alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))> |
#<alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))> |
#<alt (* 27/112000 (pow eps 4))> |
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* 27/112000 (pow eps 4))> |
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* -27/2800 eps)> |
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))> |
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))> |
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))> |
#<alt (* 27/112000 (pow eps 3))> |
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* 27/112000 (pow eps 3))> |
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))> |
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))> |
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))> |
#<alt (* 27/112000 eps)> |
#<alt (* 27/112000 eps)> |
#<alt (* 27/112000 eps)> |
#<alt (* 27/112000 eps)> |
#<alt (* 27/112000 eps)> |
#<alt (* 27/112000 eps)> |
#<alt (* 27/112000 eps)> |
#<alt (* 27/112000 eps)> |
#<alt (* 27/112000 eps)> |
#<alt (* 27/112000 eps)> |
#<alt (* 27/112000 eps)> |
#<alt (* 27/112000 eps)> |
#<alt -27/2800> |
#<alt (- (* 27/112000 (pow eps 2)) 27/2800)> |
#<alt (- (* 27/112000 (pow eps 2)) 27/2800)> |
#<alt (- (* 27/112000 (pow eps 2)) 27/2800)> |
#<alt (* 27/112000 (pow eps 2))> |
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* 27/112000 (pow eps 2))> |
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (* eps 27/112000) |
| 1.0ms | eps | @ | 0 | (+ (* 9/40 (* eps eps)) -1/2) |
| 0.0ms | eps | @ | 0 | (* eps -27/2800) |
| 0.0ms | eps | @ | inf | (+ (* (* eps eps) (+ (* eps (* eps (+ (* eps (* eps 27/112000)) -27/2800))) 9/40)) -1/2) |
| 0.0ms | eps | @ | inf | (+ (* (* eps eps) (+ (* eps (* eps -27/2800)) 9/40)) -1/2) |
| 1× | batch-egg-rewrite |
| 7 174× | lower-fma.f32 |
| 7 162× | lower-fma.f64 |
| 5 010× | lower-*.f32 |
| 5 002× | lower-*.f64 |
| 4 046× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 73 |
| 0 | 31 | 73 |
| 1 | 145 | 73 |
| 2 | 1084 | 73 |
| 0 | 8205 | 73 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(*.f64 eps eps) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(*.f64 eps #s(literal -27/2800 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) |
(+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal -9/40 binary64)))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal -9/40 binary64))))) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 eps (*.f64 #s(literal 9/40 binary64) eps) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal -1/2 binary64)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 729/64000 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64)) (neg.f64 (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64)))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -9/40 binary64) #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 729/64000 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64))) (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 729/64000 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64)))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 729/64000 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64))))) |
(/.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 729/64000 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 729/64000 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64))) (fma.f64 (*.f64 eps eps) #s(literal -9/40 binary64) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64)))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 729/64000 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal -9/40 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal -9/40 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 #s(literal 531441/4096000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 531441/4096000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal -729/512000 binary64)))) (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 531441/4096000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 729/64000 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 531441/4096000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 6561/2560000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 81/6400 binary64)))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 6561/2560000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 729/64000 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal -9/40 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal -9/40 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 729/64000 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64))))) |
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 729/64000 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64)))))) |
(*.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 729/64000 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal 9/80 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -9/40 binary64) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -81/1600 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal -9/40 binary64))))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) |
(pow.f64 eps #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64)) |
(*.f64 eps eps) |
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) |
(+.f64 (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/2 binary64)) |
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps #s(literal -27/2800 binary64)))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))))) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))))) |
(+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps #s(literal -27/2800 binary64))))) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) |
(-.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))))) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))))) (/.f64 (*.f64 eps (*.f64 (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))))) (-.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))))) |
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -27/2800 binary64)))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 eps (*.f64 (*.f64 eps #s(literal -27/2800 binary64)) (*.f64 eps eps)) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps #s(literal -27/2800 binary64))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps #s(literal -27/2800 binary64)) (*.f64 eps (*.f64 eps eps)) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) |
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(neg.f64 (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal -729/7840000 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -27/112000 binary64) #s(literal -27/2800 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 19683/1404928000000000 binary64)) #s(literal -19683/21952000000 binary64))) (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal 729/7840000 binary64)) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal -729/7840000 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64)))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 19683/1404928000000000 binary64)) #s(literal -19683/21952000000 binary64)) (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal 729/7840000 binary64)) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64)))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 19683/1404928000000000 binary64)) #s(literal -19683/21952000000 binary64)) (+.f64 #s(literal 729/7840000 binary64) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64))))) |
(/.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal -729/7840000 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 19683/1404928000000000 binary64)) #s(literal -19683/21952000000 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal 729/7840000 binary64)) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 19683/1404928000000000 binary64)) #s(literal -19683/21952000000 binary64))) (neg.f64 (+.f64 #s(literal 729/7840000 binary64) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal -729/7840000 binary64))) (fma.f64 (*.f64 eps eps) #s(literal -27/112000 binary64) #s(literal -27/2800 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 729/7840000 binary64) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64)))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 19683/1404928000000000 binary64)) #s(literal -19683/21952000000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -27/2800 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/112000 binary64))) (-.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)))))) |
(/.f64 (-.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)))) (+.f64 #s(literal -27/2800 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/112000 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64)) #s(literal 729/7840000 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 19683/1404928000000000 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) #s(literal 387420489/1973822685184000000000000000000 binary64)) #s(literal -7625597484987/10578455953408000000000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) #s(literal 387420489/1973822685184000000000000000000 binary64) (-.f64 #s(literal 387420489/481890304000000000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal -387420489/30840979456000000000000000 binary64)))) (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal 729/7840000 binary64)) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) #s(literal 387420489/1973822685184000000000000000000 binary64) #s(literal -387420489/481890304000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 19683/1404928000000000 binary64)) #s(literal 19683/21952000000 binary64)) (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal 729/7840000 binary64)) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) #s(literal 387420489/1973822685184000000000000000000 binary64) #s(literal -387420489/481890304000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 531441/157351936000000000000 binary64) (+.f64 #s(literal 531441/61465600000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 531441/98344960000000000 binary64)))) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 531441/157351936000000000000 binary64) #s(literal -531441/61465600000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal 729/7840000 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 19683/1404928000000000 binary64)) #s(literal -19683/21952000000 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal 729/7840000 binary64)) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal -729/7840000 binary64)))) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/112000 binary64) #s(literal -27/2800 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64))))) (neg.f64 (+.f64 #s(literal -27/2800 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/112000 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 729/7840000 binary64) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))) (fma.f64 (/.f64 #s(literal 729/7840000 binary64) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))) (/.f64 #s(literal 729/7840000 binary64) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))) (/.f64 #s(literal 729/7840000 binary64) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64)))) (*.f64 (/.f64 #s(literal 729/7840000 binary64) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))) (/.f64 #s(literal 729/7840000 binary64) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))) (/.f64 #s(literal 729/7840000 binary64) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 19683/1404928000000000 binary64)) #s(literal -19683/21952000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal 729/7840000 binary64)) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64))))) |
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 19683/1404928000000000 binary64)) #s(literal -19683/21952000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 729/7840000 binary64) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64)))))) |
(*.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal -729/7840000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 19683/1404928000000000 binary64)) #s(literal -19683/21952000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal 729/7840000 binary64)) (*.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)) #s(literal -729/7840000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal -27/112000 binary64) #s(literal -27/2800 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) |
(*.f64 (-.f64 #s(literal 729/7840000 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 729/12544000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -27/2800 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/112000 binary64))))) |
| 1× | egg-herbie |
| 13 106× | lower-fma.f64 |
| 13 106× | lower-fma.f32 |
| 4 108× | lower-*.f64 |
| 4 108× | lower-*.f32 |
| 1 350× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 812 |
| 1 | 157 | 812 |
| 2 | 410 | 812 |
| 3 | 1090 | 812 |
| 4 | 3145 | 804 |
| 5 | 6078 | 804 |
| 0 | 8284 | 730 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* 9/40 (pow eps 2)) 1/2) |
(- (* 9/40 (pow eps 2)) 1/2) |
(* 9/40 (pow eps 2)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(* 9/40 (pow eps 2)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
-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 (* -27/2800 (pow eps 2)))) 1/2) |
(* -27/2800 (pow eps 4)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(* -27/2800 (pow eps 4)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
9/40 |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(* -27/2800 (pow eps 2)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* -27/2800 (pow eps 2)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
(* -27/2800 eps) |
-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) |
(* 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 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)))))) |
9/40 |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
(* 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))))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* 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))))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(* -27/2800 eps) |
(* eps (- (* 27/112000 (pow eps 2)) 27/2800)) |
(* eps (- (* 27/112000 (pow eps 2)) 27/2800)) |
(* eps (- (* 27/112000 (pow eps 2)) 27/2800)) |
(* 27/112000 (pow eps 3)) |
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* 27/112000 (pow eps 3)) |
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
(* 27/112000 eps) |
-27/2800 |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(* 27/112000 (pow eps 2)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* 27/112000 (pow eps 2)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
| Outputs |
|---|
-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)) |
(- (* 9/40 (pow eps 2)) 1/2) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #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)) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2))))) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
(pow eps 2) |
(*.f64 eps eps) |
-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 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(* -27/2800 (pow eps 4)) |
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps #s(literal -27/2800 binary64)))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(* -27/2800 (pow eps 4)) |
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps #s(literal -27/2800 binary64)))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
9/40 |
#s(literal 9/40 binary64) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(* -27/2800 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -27/2800 binary64))) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(* -27/2800 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -27/2800 binary64))) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(* -27/2800 eps) |
(*.f64 eps #s(literal -27/2800 binary64)) |
(* -27/2800 eps) |
(*.f64 eps #s(literal -27/2800 binary64)) |
(* -27/2800 eps) |
(*.f64 eps #s(literal -27/2800 binary64)) |
(* -27/2800 eps) |
(*.f64 eps #s(literal -27/2800 binary64)) |
(* -27/2800 eps) |
(*.f64 eps #s(literal -27/2800 binary64)) |
(* -27/2800 eps) |
(*.f64 eps #s(literal -27/2800 binary64)) |
(* -27/2800 eps) |
(*.f64 eps #s(literal -27/2800 binary64)) |
(* -27/2800 eps) |
(*.f64 eps #s(literal -27/2800 binary64)) |
(* -27/2800 eps) |
(*.f64 eps #s(literal -27/2800 binary64)) |
(* -27/2800 eps) |
(*.f64 eps #s(literal -27/2800 binary64)) |
(* -27/2800 eps) |
(*.f64 eps #s(literal -27/2800 binary64)) |
(* -27/2800 eps) |
(*.f64 eps #s(literal -27/2800 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 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(* 27/112000 (pow eps 6)) |
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(literal -1/2 binary64)) |
(* 27/112000 (pow eps 6)) |
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))) |
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))) |
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(literal -1/2 binary64)) |
9/40 |
#s(literal 9/40 binary64) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(fma.f64 eps (*.f64 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 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(* 27/112000 (pow eps 4)) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)))) |
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(* 27/112000 (pow eps 4)) |
(*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)))) |
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) |
(* -27/2800 eps) |
(*.f64 eps #s(literal -27/2800 binary64)) |
(* eps (- (* 27/112000 (pow eps 2)) 27/2800)) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(* eps (- (* 27/112000 (pow eps 2)) 27/2800)) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(* eps (- (* 27/112000 (pow eps 2)) 27/2800)) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(* 27/112000 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))) |
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(* 27/112000 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))) |
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000))) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
(* 27/112000 eps) |
(*.f64 eps #s(literal 27/112000 binary64)) |
-27/2800 |
#s(literal -27/2800 binary64) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) |
(- (* 27/112000 (pow eps 2)) 27/2800) |
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 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))))) |
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 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))))) |
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) |
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2))))) |
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) |
Compiled 17 532 to 1 354 computations (92.3% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 513 | 0 | 513 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 0 | 0 |
| Total | 513 | 4 | 517 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ✓ | 99.9% | (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| ✓ | 99.7% | (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
| ✓ | 99.5% | #s(literal -1/2 binary64) |
Compiled 82 to 46 computations (43.9% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Outputs |
|---|
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
2 calls:
| 2.0ms | eps |
| 2.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | eps |
| 100.0% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 12 to 7 computations (41.7% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #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 |
|---|---|---|
| 99.9% | 1 | eps |
| 99.9% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 12 to 7 computations (41.7% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)) |
2 calls:
| 1.0ms | eps |
| 1.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | eps |
| 99.7% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 12 to 7 computations (41.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(literal -1/2 binary64) |
2 calls:
| 2.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 1.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | eps |
| 99.5% | 1 | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
Compiled 12 to 7 computations (41.7% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 34 |
| 1 | 18 | 34 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #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)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #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)) |
#s(literal -1/2 binary64) |
| 12 288× | lower-fma.f64 |
| 12 288× | lower-fma.f32 |
| 6 122× | lower-*.f64 |
| 6 122× | lower-*.f32 |
| 1 424× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 561 |
| 1 | 422 | 524 |
| 2 | 1321 | 499 |
| 3 | 5650 | 444 |
| 0 | 8479 | 418 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 73 to 41 computations (43.8% saved)
(abs eps)
Compiled 216 to 120 computations (44.4% saved)
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