
Time bar (total: 12.5s)
| 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 11 computations (35.3% saved)
...c/correct-round.rkt:119:19: 122.0ms (41.2% of total)ival-sub: 44.0ms (14.9% of total)ival-<=: 42.0ms (14.2% of total)ival-sin: 36.0ms (12.2% of total)ival-tan: 30.0ms (10.1% of total)ival-div: 15.0ms (5.1% of total)ival-and: 5.0ms (1.7% of total)backward-pass: 2.0ms (0.7% of total)| 6.0s | 4112× | 2 | valid |
| 1.5s | 1280× | 3 | valid |
| 812.0ms | 2787× | 1 | valid |
| 8.0ms | 77× | 0 | valid |
ival-tan: 4.3s (55.4% of total)ival-sin: 2.1s (27.6% of total)backward-pass: 369.0ms (4.8% of total)ival-sub: 334.0ms (4.3% of total)...c/correct-round.rkt:119:19: 326.0ms (4.2% of total)ival-div: 175.0ms (2.3% of total)ival-<=: 90.0ms (1.2% of total)ival-and: 11.0ms (0.1% of total)| 2× | egg-herbie |
| 1280× | sum5-define |
| 800× | sum4-define |
| 676× | fnmadd-define |
| 610× | fnmadd-define |
| 594× | sum3-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 32 |
| 1 | 37 | 30 |
| 2 | 90 | 27 |
| 3 | 273 | 27 |
| 4 | 724 | 27 |
| 5 | 1555 | 27 |
| 6 | 2749 | 27 |
| 7 | 2787 | 27 |
| 8 | 3156 | 27 |
| 9 | 3172 | 27 |
| 0 | 6 | 9 |
| 1 | 13 | 9 |
| 2 | 23 | 9 |
| 3 | 42 | 9 |
| 4 | 81 | 9 |
| 5 | 190 | 9 |
| 6 | 513 | 9 |
| 7 | 1101 | 9 |
| 8 | 2365 | 9 |
| 9 | 2557 | 9 |
| 10 | 2576 | 9 |
| 11 | 2584 | 9 |
| 0 | 2584 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (- eps (sin eps)) (- eps (tan eps))) |
| Outputs |
|---|
(/ (- eps (sin eps)) (- eps (tan eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Inputs |
|---|
(/ (- eps (sin eps)) (- eps (tan eps))) |
(/ (- (neg eps) (sin (neg eps))) (- (neg eps) (tan (neg eps)))) |
(neg (/ (- (neg eps) (sin (neg eps))) (- (neg eps) (tan (neg eps))))) |
| Outputs |
|---|
(/ (- eps (sin eps)) (- eps (tan eps))) |
(/ (- (neg eps) (sin (neg eps))) (- (neg eps) (tan (neg eps)))) |
(/ (- eps (sin eps)) (- eps (tan eps))) |
(neg (/ (- (neg eps) (sin (neg eps))) (- (neg eps) (tan (neg eps))))) |
(/ (- eps (sin eps)) (- (tan eps) eps)) |
(abs eps)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 162 | 0 | - | 3 | (7.654716029471653e-105) | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 97 | 0 | - | 0 | - | (-.f64 eps (sin.f64 eps)) |
| 97 | 0 | - | 0 | - | (-.f64 eps (tan.f64 eps)) |
| 0 | 0 | - | 0 | - | (sin.f64 eps) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (tan.f64 eps) |
| 546.0ms | 82× | 3 | valid |
| 298.0ms | 238× | 2 | valid |
| 41.0ms | 188× | 1 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 58 to 20 computations (65.5% saved)
ival-tan: 660.0ms (78.4% of total)ival-sin: 141.0ms (16.7% of total)ival-sub: 17.0ms (2% of total)backward-pass: 16.0ms (1.9% of total)ival-div: 7.0ms (0.8% of total)const: 1.0ms (0.1% of total)Compiled 10 to 6 computations (40% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 0.9% | (/.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))) |
| 676× | fnmadd-define |
| 450× | fmsub-define |
| 440× | fnmsub-define |
| 394× | fmm-def |
| 368× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 22 |
| 1 | 13 | 22 |
| 2 | 23 | 22 |
| 3 | 42 | 22 |
| 4 | 81 | 22 |
| 5 | 190 | 22 |
| 6 | 513 | 22 |
| 7 | 1101 | 22 |
| 8 | 2365 | 22 |
| 9 | 2557 | 22 |
| 10 | 2576 | 22 |
| 11 | 2584 | 22 |
| 0 | 2584 | 22 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (- eps (sin eps)) (- eps (tan eps))) |
(- eps (sin eps)) |
eps |
(sin eps) |
(- eps (tan eps)) |
(tan eps) |
| Outputs |
|---|
(/ (- eps (sin eps)) (- eps (tan eps))) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
(- eps (sin eps)) |
(-.f64 eps (sin.f64 eps)) |
eps |
(sin eps) |
(sin.f64 eps) |
(- eps (tan eps)) |
(-.f64 eps (tan.f64 eps)) |
(tan eps) |
(tan.f64 eps) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 eps) |
| ✓ | accuracy | 66.0% | (-.f64 eps (sin.f64 eps)) |
| ✓ | accuracy | 66.0% | (-.f64 eps (tan.f64 eps)) |
| ✓ | accuracy | 37.9% | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 137.0ms | 119× | 2 | valid |
| 53.0ms | 41× | 3 | valid |
| 25.0ms | 94× | 1 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 24 to 7 computations (70.8% saved)
ival-tan: 97.0ms (53.2% of total)ival-sin: 65.0ms (35.6% of total)backward-pass: 8.0ms (4.4% of total)ival-sub: 8.0ms (4.4% of total)ival-div: 4.0ms (2.2% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- eps (sin eps)) (- eps (tan eps)))> |
#<alt (- eps (sin eps))> |
#<alt (sin eps)> |
#<alt (- eps (tan 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 | |
|---|---|---|---|---|
| 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)) |
| 0.0ms | eps | @ | inf | (- eps (tan eps)) |
| 1× | batch-egg-rewrite |
| 3748× | *-lowering-*.f32 |
| 3748× | *-lowering-*.f64 |
| 3480× | /-lowering-/.f32 |
| 3480× | /-lowering-/.f64 |
| 1496× | fma-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 1 | 46 | 19 |
| 2 | 419 | 19 |
| 3 | 6321 | 19 |
| 0 | 8177 | 19 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- eps (sin eps)) (- eps (tan eps))) |
(- eps (sin eps)) |
(sin eps) |
(- eps (tan eps)) |
| Outputs |
|---|
(+.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (sin.f64 eps) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) |
(+.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) |
(+.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))) |
(+.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)) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (sin.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps)))) |
(+.f64 (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (*.f64 eps eps)) (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.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)) (-.f64 (*.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)) (-.f64 (*.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)) (-.f64 (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.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)) (-.f64 (*.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)) (-.f64 (*.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)) (-.f64 (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (*.f64 (*.f64 eps eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.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)) (-.f64 (*.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)))))) |
(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 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)) (+.f64 (*.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)) (+.f64 (*.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 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 eps #s(literal 2 binary64))))) (+.f64 eps (sin.f64 eps))) (-.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)) (+.f64 (*.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)) (+.f64 (*.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 #s(literal 2 binary64))))) (*.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)))) |
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(*.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))) |
(*.f64 (-.f64 (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 eps)) (-.f64 (-.f64 #s(literal 0 binary64) (tan.f64 eps)) eps))))) |
(*.f64 (-.f64 (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (*.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (/.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (*.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))) |
(*.f64 (+.f64 (*.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (*.f64 (-.f64 eps (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 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 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 eps (tan.f64 eps))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (-.f64 (*.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))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (pow.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)))) (+.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (-.f64 (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (*.f64 eps eps))))) |
(*.f64 (/.f64 (-.f64 (*.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))))) |
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (*.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (*.f64 eps eps) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps)))) |
| 1× | egg-herbie |
| 4708× | *-lowering-*.f32 |
| 4708× | *-lowering-*.f64 |
| 1320× | +-lowering-+.f64 |
| 1320× | +-lowering-+.f32 |
| 1274× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 547 |
| 1 | 457 | 499 |
| 2 | 1536 | 461 |
| 3 | 6921 | 461 |
| 0 | 8078 | 461 |
| 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) |
(+.f64 (*.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) |
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) |
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -27/2800 binary64) (*.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))))))) #s(literal -1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (*.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps) (/.f64 #s(literal -1 binary64) eps)))) |
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))))) |
(+.f64 (*.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (sin.f64 eps) (/.f64 (*.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 eps eps))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (*.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps) (/.f64 #s(literal -1 binary64) eps))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) |
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 eps) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps)) #s(literal -1 binary64)))) 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 #s(literal 0 binary64) (*.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 (*.f64 eps eps) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/120 binary64))))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/5040 binary64))))))) |
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))))) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) |
(* eps (+ 1 (* -1 (/ (sin eps) eps)))) |
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) |
eps |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) |
(* -1 (* eps (- (/ (sin eps) eps) 1))) |
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal -1/6 binary64))))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/6 binary64) (*.f64 eps (*.f64 eps #s(literal 1/120 binary64))))))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/5040 binary64)))))))) |
(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 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/15 binary64))))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/15 binary64) (*.f64 eps (*.f64 eps #s(literal -17/315 binary64))))))))) |
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/15 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -17/315 binary64) (*.f64 (*.f64 eps eps) #s(literal -62/2835 binary64))))))))) |
eps |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) |
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))) |
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) |
eps |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) |
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1))) |
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))) |
Compiled 12278 to 1225 computations (90% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 418 | 3 | 421 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 419 | 3 | 422 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64)) |
| ▶ | 99.8% | (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) |
| ▶ | 99.4% | #s(literal -1/2 binary64) |
Compiled 24 to 18 computations (25% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) |
| 140× | fma-define |
| 104× | fma-lowering-fma.f32 |
| 104× | fma-lowering-fma.f64 |
| 76× | *-lowering-*.f32 |
| 76× | *-lowering-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 69 |
| 1 | 31 | 65 |
| 2 | 74 | 65 |
| 3 | 141 | 65 |
| 4 | 182 | 65 |
| 5 | 185 | 65 |
| 0 | 185 | 65 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
-1/2 |
(+ (* 9/40 (* eps eps)) -1/2) |
(* 9/40 (* eps eps)) |
9/40 |
(* eps eps) |
eps |
-1/2 |
(+ (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))) -1/2) |
(* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))) |
eps |
(* eps (+ 9/40 (* (* eps eps) -27/2800))) |
(+ 9/40 (* (* eps eps) -27/2800)) |
9/40 |
(* (* eps eps) -27/2800) |
(* eps eps) |
-27/2800 |
-1/2 |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(+ (* 9/40 (* eps eps)) -1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) |
(* 9/40 (* eps eps)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
9/40 |
#s(literal 9/40 binary64) |
(* eps eps) |
(*.f64 eps eps) |
eps |
-1/2 |
#s(literal -1/2 binary64) |
(+ (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))) -1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (*.f64 eps (*.f64 eps #s(literal -27/2800 binary64)))))) |
(* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (*.f64 eps (*.f64 eps #s(literal -27/2800 binary64))))) |
eps |
(* eps (+ 9/40 (* (* eps eps) -27/2800))) |
(*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 eps (*.f64 eps #s(literal -27/2800 binary64))))) |
(+ 9/40 (* (* eps eps) -27/2800)) |
(+.f64 #s(literal 9/40 binary64) (*.f64 eps (*.f64 eps #s(literal -27/2800 binary64)))) |
9/40 |
#s(literal 9/40 binary64) |
(* (* eps eps) -27/2800) |
(*.f64 eps (*.f64 eps #s(literal -27/2800 binary64))) |
(* eps eps) |
(*.f64 eps eps) |
-27/2800 |
#s(literal -27/2800 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
| 37.0ms | 232× | 0 | valid |
| 8.0ms | 9× | 3 | valid |
| 3.0ms | 10× | 1 | valid |
| 2.0ms | 5× | 2 | valid |
Compiled 73 to 13 computations (82.2% saved)
ival-mult: 13.0ms (42.4% of total)...c/correct-round.rkt:119:19: 11.0ms (35.9% of total)ival-add: 5.0ms (16.3% of total)backward-pass: 1.0ms (3.3% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* 9/40 (* eps eps)) -1/2)> |
#<alt (* 9/40 (* eps eps))> |
#<alt (* eps eps)> |
#<alt (+ (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))) -1/2)> |
#<alt (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800))))> |
#<alt (* eps (+ 9/40 (* (* eps eps) -27/2800)))> |
#<alt (+ 9/40 (* (* eps eps) -27/2800))> |
#<alt (* (* eps eps) -27/2800)> |
| 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 (* 9/40 (pow eps 2))> |
#<alt (* 9/40 (pow eps 2))> |
#<alt (* 9/40 (pow eps 2))> |
#<alt (* 9/40 (pow eps 2))> |
#<alt (* 9/40 (pow eps 2))> |
#<alt (* 9/40 (pow eps 2))> |
#<alt (* 9/40 (pow eps 2))> |
#<alt (* 9/40 (pow eps 2))> |
#<alt (* 9/40 (pow eps 2))> |
#<alt (* 9/40 (pow eps 2))> |
#<alt (* 9/40 (pow eps 2))> |
#<alt (* 9/40 (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 (pow eps 2))> |
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 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))> |
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))> |
#<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))> |
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))> |
#<alt (* 9/40 eps)> |
#<alt (* eps (+ 9/40 (* -27/2800 (pow eps 2))))> |
#<alt (* eps (+ 9/40 (* -27/2800 (pow eps 2))))> |
#<alt (* eps (+ 9/40 (* -27/2800 (pow eps 2))))> |
#<alt (* -27/2800 (pow eps 3))> |
#<alt (* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))> |
#<alt (* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))> |
#<alt (* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))> |
#<alt (* -27/2800 (pow eps 3))> |
#<alt (* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))> |
#<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 (pow eps 2))> |
#<alt (* -27/2800 (pow eps 2))> |
#<alt (* -27/2800 (pow eps 2))> |
#<alt (* -27/2800 (pow eps 2))> |
#<alt (* -27/2800 (pow eps 2))> |
#<alt (* -27/2800 (pow eps 2))> |
#<alt (* -27/2800 (pow eps 2))> |
#<alt (* -27/2800 (pow eps 2))> |
#<alt (* -27/2800 (pow eps 2))> |
#<alt (* -27/2800 (pow eps 2))> |
#<alt (* -27/2800 (pow eps 2))> |
#<alt (* -27/2800 (pow eps 2))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | inf | (* eps (+ 9/40 (* (* eps eps) -27/2800))) |
| 1.0ms | eps | @ | 0 | (+ (* 9/40 (* eps eps)) -1/2) |
| 0.0ms | eps | @ | inf | (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))) |
| 0.0ms | eps | @ | -inf | (* eps (+ 9/40 (* (* eps eps) -27/2800))) |
| 0.0ms | eps | @ | inf | (+ (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))) -1/2) |
| 1× | batch-egg-rewrite |
| 3976× | *-lowering-*.f32 |
| 3976× | *-lowering-*.f64 |
| 2082× | /-lowering-/.f32 |
| 2082× | /-lowering-/.f64 |
| 1668× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 1 | 72 | 54 |
| 2 | 568 | 54 |
| 3 | 6314 | 54 |
| 0 | 8157 | 54 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 9/40 (* eps eps)) -1/2) |
(* 9/40 (* eps eps)) |
(* eps eps) |
(+ (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))) -1/2) |
(* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))) |
(* eps (+ 9/40 (* (* eps eps) -27/2800))) |
(+ 9/40 (* (* eps eps) -27/2800)) |
(* (* eps eps) -27/2800) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) |
(+.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)))) (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)))) (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.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 eps (*.f64 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 #s(literal 9/40 binary64) eps) eps #s(literal -1/2 binary64)) |
(neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -9/80 binary64))))))) |
(neg.f64 (/.f64 (+.f64 (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -9/40 binary64)) #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -9/80 binary64)))))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64))))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (*.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -9/80 binary64))))) |
(/.f64 (+.f64 (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)))) #s(literal -1/4 binary64)) (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -9/80 binary64)))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64))))) #s(literal 1/4 binary64)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -9/40 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 #s(literal 531441/4096000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -9/80 binary64)))) (+.f64 (*.f64 #s(literal 531441/4096000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal -729/512000 binary64)))))) |
(/.f64 (+.f64 (*.f64 #s(literal 531441/4096000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal -1/64 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -9/80 binary64)))) (+.f64 (*.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(literal 1/8 binary64)))) |
(/.f64 (+.f64 (*.f64 #s(literal 531441/4096000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal -1/64 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 6561/2560000 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 81/6400 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.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 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64))))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 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)))) |
(/.f64 (+.f64 (*.f64 #s(literal 6561/2560000 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(literal -1/16 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (+.f64 (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)))) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)))) (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 #s(literal 729/64000 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 #s(literal 531441/4096000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 531441/4096000000 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal -729/512000 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 81/1600 binary64)) #s(literal -9/80 binary64)))))) |
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(*.f64 eps (*.f64 eps #s(literal -27/2800 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(*.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps #s(literal -27/2800 binary64)) eps) |
| 1× | egg-herbie |
| 1992× | fma-lowering-fma.f32 |
| 1992× | fma-lowering-fma.f64 |
| 1658× | *-lowering-*.f32 |
| 1658× | *-lowering-*.f64 |
| 1460× | fmm-def |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 614 |
| 1 | 107 | 590 |
| 2 | 271 | 590 |
| 3 | 804 | 579 |
| 4 | 2555 | 579 |
| 5 | 6516 | 579 |
| 0 | 8490 | 579 |
| 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))))) |
(* 9/40 (pow eps 2)) |
(* 9/40 (pow eps 2)) |
(* 9/40 (pow eps 2)) |
(* 9/40 (pow eps 2)) |
(* 9/40 (pow eps 2)) |
(* 9/40 (pow eps 2)) |
(* 9/40 (pow eps 2)) |
(* 9/40 (pow eps 2)) |
(* 9/40 (pow eps 2)) |
(* 9/40 (pow eps 2)) |
(* 9/40 (pow eps 2)) |
(* 9/40 (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 (pow eps 2)) |
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* -27/2800 (pow eps 4)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* -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)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* 9/40 eps) |
(* eps (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* eps (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* eps (+ 9/40 (* -27/2800 (pow eps 2)))) |
(* -27/2800 (pow eps 3)) |
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(* -27/2800 (pow eps 3)) |
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2)))))) |
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 (pow eps 2)) |
(* -27/2800 (pow eps 2)) |
(* -27/2800 (pow eps 2)) |
(* -27/2800 (pow eps 2)) |
(* -27/2800 (pow eps 2)) |
(* -27/2800 (pow eps 2)) |
(* -27/2800 (pow eps 2)) |
(* -27/2800 (pow eps 2)) |
(* -27/2800 (pow eps 2)) |
(* -27/2800 (pow eps 2)) |
(* -27/2800 (pow eps 2)) |
(* -27/2800 (pow eps 2)) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) |
(- (* 9/40 (pow eps 2)) 1/2) |
(+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) |
(- (* 9/40 (pow eps 2)) 1/2) |
(+.f64 (*.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))))) |
(+.f64 (*.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))))) |
(+.f64 (*.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))))) |
(+.f64 (*.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))))) |
(+.f64 (*.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))))) |
(+.f64 (*.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))))) |
(+.f64 (*.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)) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.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) |
(pow eps 2) |
(*.f64 eps eps) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 9/40 (pow eps 2)) 1/2) |
(+.f64 (*.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) |
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64)) |
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) |
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64)) |
(* -27/2800 (pow eps 4)) |
(*.f64 eps (*.f64 #s(literal -27/2800 binary64) (*.f64 eps (*.f64 eps eps)))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64)) |
(* -27/2800 (pow eps 4)) |
(*.f64 eps (*.f64 #s(literal -27/2800 binary64) (*.f64 eps (*.f64 eps eps)))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64)) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4))))) |
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64)) |
(* 9/40 (pow eps 2)) |
(*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) |
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) |
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) |
(* -27/2800 (pow eps 4)) |
(*.f64 eps (*.f64 #s(literal -27/2800 binary64) (*.f64 eps (*.f64 eps eps)))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) |
(* -27/2800 (pow eps 4)) |
(*.f64 eps (*.f64 #s(literal -27/2800 binary64) (*.f64 eps (*.f64 eps eps)))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) |
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) |
(* 9/40 eps) |
(*.f64 #s(literal 9/40 binary64) eps) |
(* eps (+ 9/40 (* -27/2800 (pow eps 2)))) |
(*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))) |
(* eps (+ 9/40 (* -27/2800 (pow eps 2)))) |
(*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))) |
(* eps (+ 9/40 (* -27/2800 (pow eps 2)))) |
(*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))) |
(* -27/2800 (pow eps 3)) |
(*.f64 #s(literal -27/2800 binary64) (*.f64 eps (*.f64 eps eps))) |
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))) |
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))) |
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))) |
(* -27/2800 (pow eps 3)) |
(*.f64 #s(literal -27/2800 binary64) (*.f64 eps (*.f64 eps eps))) |
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2)))))) |
(*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))) |
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2)))))) |
(*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))) |
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2)))))) |
(*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))) |
9/40 |
#s(literal 9/40 binary64) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))) |
(+ 9/40 (* -27/2800 (pow eps 2))) |
(+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))) |
(* -27/2800 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))) |
(* -27/2800 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))) |
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800)) |
(+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))) |
(* -27/2800 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(* -27/2800 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(* -27/2800 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(* -27/2800 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(* -27/2800 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(* -27/2800 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(* -27/2800 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(* -27/2800 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(* -27/2800 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(* -27/2800 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(* -27/2800 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
(* -27/2800 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)) |
Compiled 13071 to 1086 computations (91.7% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 390 | 0 | 390 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 390 | 3 | 393 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64)) |
| ✓ | 99.8% | (+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) |
| ✓ | 99.4% | #s(literal -1/2 binary64) |
Compiled 55 to 35 computations (36.4% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) |
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| Outputs |
|---|
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64)) |
2 calls:
| 3.0ms | (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) |
| 2.0ms | 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) |
(+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) |
1 calls:
| 1.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | eps |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(literal -1/2 binary64) |
1 calls:
| 1.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | eps |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 21 |
| 1 | 19 | 21 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64)) |
(+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64)) |
(+.f64 (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) |
#s(literal -1/2 binary64) |
| 4708× | *-lowering-*.f32 |
| 4708× | *-lowering-*.f64 |
| 1320× | +-lowering-+.f64 |
| 1320× | +-lowering-+.f32 |
| 1274× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 547 |
| 1 | 457 | 499 |
| 2 | 1536 | 461 |
| 3 | 6921 | 461 |
| 0 | 8078 | 461 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 46 to 30 computations (34.8% saved)
(abs eps)
Compiled 196 to 120 computations (38.8% saved)
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