
Time bar (total: 4.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 1 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 2 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 3 |
| 75% | 37.5% | 12.5% | 50% | 0% | 0% | 0% | 4 |
| 87.5% | 43.7% | 6.2% | 50% | 0% | 0% | 0% | 5 |
| 93.8% | 46.8% | 3.1% | 50% | 0% | 0% | 0% | 6 |
| 96.9% | 48.4% | 1.6% | 50% | 0% | 0% | 0% | 7 |
| 98.4% | 49.2% | 0.8% | 50% | 0% | 0% | 0% | 8 |
| 99.2% | 49.6% | 0.4% | 50% | 0% | 0% | 0% | 9 |
| 99.6% | 49.8% | 0.2% | 50% | 0% | 0% | 0% | 10 |
| 99.8% | 49.9% | 0.1% | 50% | 0% | 0% | 0% | 11 |
| 99.9% | 49.9% | 0% | 50% | 0% | 0% | 0% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.6s | 3 285× | 2 | valid |
| 1.4s | 4 807× | 1 | valid |
| 19.0ms | 164× | 0 | valid |
ival-log: 1.4s (52.9% of total)adjust: 750.0ms (28.1% of total)ival-div: 215.0ms (8.1% of total)ival-sub: 166.0ms (6.2% of total)ival-add: 114.0ms (4.3% of total)exact: 9.0ms (0.3% of total)ival-assert: 2.0ms (0.1% of total)ival-fabs: 0.0ms (0% of total)ival-<: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 255 | 0 | - | 0 | - | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) eps) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) | sensitivity | 255 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 255 | 0 |
| - | 0 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 255 | 0 | 0 |
| - | 0 | 0 | 1 |
| number | freq |
|---|---|
| 0 | 1 |
| 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 91.0ms | 220× | 2 | valid |
| 52.0ms | 288× | 1 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 58 to 22 computations (62.1% saved)
ival-log: 74.0ms (61.2% of total)adjust: 20.0ms (16.6% of total)ival-div: 9.0ms (7.4% of total)ival-sub: 9.0ms (7.4% of total)ival-add: 7.0ms (5.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 29 |
| 1 | 22 | 29 |
| 2 | 27 | 29 |
| 3 | 51 | 25 |
| 4 | 140 | 25 |
| 5 | 735 | 25 |
| 6 | 5314 | 25 |
| 0 | 6 | 8 |
| 0 | 10 | 8 |
| 1 | 16 | 8 |
| 2 | 19 | 8 |
| 3 | 34 | 8 |
| 4 | 87 | 8 |
| 5 | 444 | 8 |
| 0 | 8522 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
| Outputs |
|---|
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
(log1p.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 1 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 1 binary64) #s(literal 1 binary64))))) |
Compiled 8 to 6 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.4% | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) |
(-.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(+.f64 #s(literal 1 binary64) eps) |
| Outputs |
|---|
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* -2 eps))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2)))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 1)) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* -2 eps)))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* eps (- (* 2 eps) 2))))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2))))) |
#s(approx (- 1 eps) #s(hole binary64 1)) |
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps)))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (+ 1 eps) #s(hole binary64 1)) |
#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (log -1))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps))))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps))))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 -1)) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* 2 (/ 1 eps)) 1))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2)))))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2)))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps))) |
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1)))) |
#s(approx (+ 1 eps) #s(hole binary64 eps)) |
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps))))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps))))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | -inf | ((log (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)) (- 1 eps) 1 eps (+ 1 eps)) |
| 1.0ms | eps | @ | 0 | ((log (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)) (- 1 eps) 1 eps (+ 1 eps)) |
| 1.0ms | eps | @ | inf | ((log (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)) (- 1 eps) 1 eps (+ 1 eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 482 |
| 0 | 128 | 447 |
| 1 | 680 | 443 |
| 0 | 6556 | 405 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) |
(-.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(+.f64 #s(literal 1 binary64) eps) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* -2 eps))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2)))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 1)) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* -2 eps)))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* eps (- (* 2 eps) 2))))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2))))) |
#s(approx (- 1 eps) #s(hole binary64 1)) |
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps)))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (+ 1 eps) #s(hole binary64 1)) |
#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (log -1))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps))))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps))))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 -1)) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* 2 (/ 1 eps)) 1))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2)))))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2)))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps))) |
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1)))) |
#s(approx (+ 1 eps) #s(hole binary64 eps)) |
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps))))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps))))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps)))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 (*.f64 #s(literal -1 binary64) eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) (+.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps))))) |
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64)))) (log.f64 (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64)))) |
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps)) |
(log.f64 (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) (-.f64 eps #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 eps (-.f64 eps #s(literal -1 binary64))) (/.f64 eps (-.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 eps (-.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 eps (-.f64 eps #s(literal -1 binary64))) (/.f64 eps (-.f64 eps #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 eps #s(literal -1 binary64))) (*.f64 (-.f64 eps #s(literal -1 binary64)) eps)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 eps #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) eps #s(literal 1 binary64)) (*.f64 (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal -1 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) (-.f64 eps #s(literal -1 binary64))) |
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64))) (-.f64 eps #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64)))) |
(-.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 eps (-.f64 eps #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) eps #s(literal 1 binary64))) (neg.f64 (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 eps #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) eps #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) eps (-.f64 eps #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) eps #s(literal 1 binary64)) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
(neg.f64 (+.f64 eps #s(literal -1 binary64))) |
(neg.f64 (+.f64 #s(literal -1 binary64) eps)) |
(fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) |
(fma.f64 eps #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 eps eps) (-.f64 eps #s(literal -1 binary64)))) |
(-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) eps) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) eps) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)) |
#s(literal 1 binary64) |
eps |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 eps #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) eps #s(literal 1 binary64))) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) eps) |
(*.f64 eps (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))) eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) |
(/.f64 (*.f64 eps (fma.f64 (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) eps (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 eps eps) eps #s(literal 1 binary64)) (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (/.f64 (*.f64 eps eps) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) |
(-.f64 eps (*.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 eps #s(literal -1 binary64)))) |
(-.f64 eps (*.f64 (neg.f64 (pow.f64 eps #s(literal -1 binary64))) eps)) |
(-.f64 eps #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 eps eps) eps) (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) eps) eps) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))) |
(+.f64 eps #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) eps) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps)) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64)) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (*.f64 #s(literal -2 binary64) eps) #s(literal 1 binary64) #s(literal 1 binary64))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64) #s(literal -2 binary64)) eps) #s(literal 1 binary64) #s(literal 1 binary64))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) eps #s(literal -2 binary64)) eps) #s(literal 1 binary64) #s(literal 1 binary64))) |
#s(approx (- 1 eps) #s(literal 1 binary64)) |
#s(approx (- 1 eps) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) |
#s(approx eps eps) |
#s(approx (+ 1 eps) #s(literal 1 binary64)) |
#s(approx (+ 1 eps) (-.f64 eps #s(literal -1 binary64))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (log.f64 #s(literal -1 binary64))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64)))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2/3 binary64)) #s(literal 1 binary64) #s(literal 2 binary64)) eps) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 eps eps)) (/.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2/5 binary64)) #s(literal 1 binary64) #s(literal 2/3 binary64)) eps) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal -1 binary64)) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (-.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3/2 binary64))) (-.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
#s(approx (- 1 eps) (*.f64 #s(literal -1 binary64) eps)) |
#s(approx (- 1 eps) (*.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) eps)) |
#s(approx (+ 1 eps) eps) |
#s(approx (+ 1 eps) (-.f64 eps #s(literal -1 binary64))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 eps eps)) (/.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2/5 binary64)) #s(literal 1 binary64) #s(literal 2/3 binary64)) eps) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) eps) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) eps) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -2 binary64)) eps) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))) |
#s(approx (- 1 eps) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) eps) #s(literal -1 binary64))) |
Compiled 1 681 to 380 computations (77.4% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 95 | 1 | 96 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 96 | 1 | 97 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps)) |
(log1p.f64 (*.f64 #s(literal -1 binary64) eps)) |
(*.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
eps |
(log1p.f64 eps) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -2 eps))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 eps))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* -1/2 eps) 1)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* -1/3 eps) 1/2)) 1)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1)))) |
#s(approx (* -1 eps) #s(hole binary64 (* -1 eps))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (log (+ 1 eps)) #s(hole binary64 eps)) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* -1/2 eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* 1/3 eps) 1/2)))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2)))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (log -1))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 eps)))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 eps))) (pow eps 2))))) (/ 1 eps)))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* -1 (log (/ 1 eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (* -1 (log (/ 1 eps))) (/ 1 eps)))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (/ 1 eps)) (/ 1/2 (pow eps 2))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (log -1)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (+ (log -1) (* 2 (/ 1 eps)))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)) (log -1)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 (log (/ -1 eps))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (* -1 (log (/ -1 eps))) (/ 1 eps)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow eps 2)) (* 1/2 (/ 1 eps)))) eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 eps)))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (/ 1 eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* 1/2 (/ 1 eps)) 1) eps)))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 eps)) 1/2) eps)) 1) eps)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | inf | ((- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log (+ 1 (* -1 eps))) (* -1 eps) -1 eps (log (+ 1 eps))) |
| 1.0ms | eps | @ | 0 | ((- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log (+ 1 (* -1 eps))) (* -1 eps) -1 eps (log (+ 1 eps))) |
| 1.0ms | eps | @ | -inf | ((- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log (+ 1 (* -1 eps))) (* -1 eps) -1 eps (log (+ 1 eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 694 |
| 0 | 195 | 598 |
| 1 | 1136 | 574 |
| 0 | 8220 | 549 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps)) |
(log1p.f64 (*.f64 #s(literal -1 binary64) eps)) |
(*.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
eps |
(log1p.f64 eps) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -2 eps))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 eps))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* -1/2 eps) 1)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* -1/3 eps) 1/2)) 1)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1)))) |
#s(approx (* -1 eps) #s(hole binary64 (* -1 eps))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (log (+ 1 eps)) #s(hole binary64 eps)) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* -1/2 eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* 1/3 eps) 1/2)))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2)))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (log -1))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 eps)))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 eps))) (pow eps 2))))) (/ 1 eps)))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* -1 (log (/ 1 eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (* -1 (log (/ 1 eps))) (/ 1 eps)))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (/ 1 eps)) (/ 1/2 (pow eps 2))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (log -1)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (+ (log -1) (* 2 (/ 1 eps)))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)) (log -1)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 (log (/ -1 eps))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (* -1 (log (/ -1 eps))) (/ 1 eps)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow eps 2)) (* 1/2 (/ 1 eps)))) eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 eps)))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (/ 1 eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* 1/2 (/ 1 eps)) 1) eps)))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 eps)) 1/2) eps)) 1) eps)))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)) (-.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)))) (neg.f64 (+.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)))) (-.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)))) (neg.f64 (fma.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)))))) |
(/.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)) (-.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps))) (+.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps))) |
(/.f64 (*.f64 (fma.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)))) (-.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps))) (fma.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps))))) |
(-.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 (*.f64 eps #s(literal -1 binary64)))) (+.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps))) (/.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps))))) (/.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)))))) |
(-.f64 (log1p.f64 (*.f64 eps #s(literal -1 binary64))) (log1p.f64 eps)) |
(log.f64 (/.f64 (fma.f64 eps #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 eps #s(literal -1 binary64)))) |
(log1p.f64 (*.f64 eps #s(literal -1 binary64))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64))) (log1p.f64 (fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 eps #s(literal -1 binary64)))))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 eps #s(literal -1 binary64)) eps)) (log1p.f64 (*.f64 (*.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(log.f64 (fma.f64 eps #s(literal -1 binary64) #s(literal 1 binary64))) |
(*.f64 eps #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) eps) |
(neg.f64 eps) |
#s(literal -1 binary64) |
eps |
(log1p.f64 eps) |
(-.f64 (log1p.f64 (*.f64 (*.f64 eps #s(literal -1 binary64)) eps)) (log.f64 (-.f64 #s(literal 1 binary64) eps))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 eps eps) eps)) (log1p.f64 (fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (*.f64 eps #s(literal -1 binary64))))) |
(log.f64 (-.f64 eps #s(literal -1 binary64))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps)) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/5 binary64) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7 binary64) (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps eps) #s(literal -2/3 binary64)) (*.f64 eps eps) #s(literal -2 binary64)) eps)) |
#s(approx (log (+ 1 (* -1 eps))) (*.f64 eps #s(literal -1 binary64))) |
#s(approx (log (+ 1 (* -1 eps))) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps #s(literal -1 binary64)) eps)) |
#s(approx (log (+ 1 (* -1 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) eps #s(literal -1/2 binary64)) eps #s(literal -1 binary64)) eps)) |
#s(approx (log (+ 1 (* -1 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal -1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal -1 binary64)) eps)) |
#s(approx (* -1 eps) (*.f64 eps #s(literal -1 binary64))) |
#s(approx eps eps) |
#s(approx (log (+ 1 eps)) eps) |
#s(approx (log (+ 1 eps)) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps #s(literal 1 binary64)) eps)) |
#s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps)) |
#s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps)) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log.f64 #s(literal -1 binary64))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) eps) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 eps eps)) (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)) #s(literal -2/3 binary64)) eps) (log.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) |
#s(approx (log (+ 1 (* -1 eps))) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) |
#s(approx (log (+ 1 (* -1 eps))) (-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps)) (pow.f64 eps #s(literal -1 binary64)))) |
#s(approx (log (+ 1 (* -1 eps))) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) eps) #s(literal -1 binary64) (log.f64 eps)))) |
#s(approx (log (+ 1 (* -1 eps))) (-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/3 binary64) #s(literal 1/2 binary64)) eps) (log.f64 eps))) (pow.f64 eps #s(literal -1 binary64)))) |
#s(approx (log (+ 1 eps)) (log.f64 eps)) |
#s(approx (log (+ 1 eps)) (fma.f64 (pow.f64 eps #s(literal -1/2 binary64)) (pow.f64 eps #s(literal -1/2 binary64)) (log.f64 eps))) |
#s(approx (log (+ 1 eps)) (-.f64 (fma.f64 (pow.f64 eps #s(literal -1/2 binary64)) (pow.f64 eps #s(literal -1/2 binary64)) (log.f64 eps)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
#s(approx (log (+ 1 eps)) (-.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) eps (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 eps eps) eps) eps)) (*.f64 (log.f64 eps) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log.f64 #s(literal -1 binary64))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (*.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)) eps) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (fma.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/5 binary64) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) eps) (/.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) eps)) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ 1 (* -1 eps))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64))) |
#s(approx (log (+ 1 (* -1 eps))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64)) (pow.f64 eps #s(literal -1 binary64)))) |
#s(approx (log (+ 1 (* -1 eps))) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) eps) #s(literal -1 binary64)))) |
#s(approx (log (+ 1 (* -1 eps))) (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) #s(literal -1 binary64)) eps) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64)))) |
#s(approx (log (+ 1 eps)) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) |
#s(approx (log (+ 1 eps)) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
#s(approx (log (+ 1 eps)) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64)) eps) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64))))) |
#s(approx (log (+ 1 eps)) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/3 binary64) #s(literal -1/2 binary64)) eps) #s(literal -1 binary64) #s(literal -1 binary64)) eps) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64))))) |
Compiled 1 234 to 259 computations (79% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 58 | 1 | 59 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 58 | 2 | 60 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps)) |
| ▶ | 99.8% | (-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps))) |
Compiled 29 to 23 computations (20.7% saved)
| Inputs |
|---|
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps))) |
(log1p.f64 (*.f64 #s(literal -1 binary64) eps)) |
(*.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
eps |
#s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) |
#s(literal -1/4 binary64) |
#s(literal 1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -2 eps))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 eps))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* -1/2 eps) 1)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* -1/3 eps) 1/2)) 1)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1)))) |
#s(approx (* -1 eps) #s(hole binary64 (* -1 eps))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (log (+ 1 eps)) #s(hole binary64 eps)) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* -1/2 eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* 1/3 eps) 1/2)))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2)))))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 eps)) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 eps))))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* eps (+ 1 (* eps (- (* 1/3 eps) 1/2)))))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2)))))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (+ 1 (* -1/2 eps)))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (+ 1 (* eps (- (* 1/3 eps) 1/2))))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))))) |
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (- (* 1/3 eps) 1/2))) |
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))) |
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 1/3)) |
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (+ 1/3 (* -1/4 eps)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (log -1))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 eps)))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 eps))) (pow eps 2))))) (/ 1 eps)))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* -1 (log (/ 1 eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (* -1 (log (/ 1 eps))) (/ 1 eps)))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (/ 1 eps)) (/ 1/2 (pow eps 2))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2))))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* -1/4 (pow eps 4)))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* 1/3 (/ 1 eps)) 1/4)))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* 1/3 (/ 1 eps)) (+ 1/4 (/ 1/2 (pow eps 2))))))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (/ 1 (pow eps 3))) (+ 1/4 (/ 1/2 (pow eps 2))))))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1/4 (pow eps 3)))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* (pow eps 3) (- (* 1/3 (/ 1 eps)) 1/4)))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* (pow eps 3) (- (* 1/3 (/ 1 eps)) (+ 1/4 (/ 1/2 (pow eps 2))))))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* (pow eps 3) (- (+ (* 1/3 (/ 1 eps)) (/ 1 (pow eps 3))) (+ 1/4 (/ 1/2 (pow eps 2))))))) |
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* -1/4 (pow eps 2)))) |
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/3 (/ 1 eps)) 1/4)))) |
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/3 (/ 1 eps)) (+ 1/4 (/ 1/2 (pow eps 2))))))) |
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (* -1/4 eps))) |
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (* eps (- (* 1/3 (/ 1 eps)) 1/4)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (log -1)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (+ (log -1) (* 2 (/ 1 eps)))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)) (log -1)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 (log (/ -1 eps))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (* -1 (log (/ -1 eps))) (/ 1 eps)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow eps 2)) (* 1/2 (/ 1 eps)))) eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 eps)))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (/ 1 eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* 1/2 (/ 1 eps)) 1) eps)))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 eps)) 1/2) eps)) 1) eps)))))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/3) eps)) 1/4)))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 eps) 1/2) eps)) 1/3) eps)) 1/4)))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/4 (* 1/3 (/ 1 eps))))))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 eps))) eps))))))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 eps)) eps))) eps))))))) |
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/3) eps)) 1/4)))) |
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (* -1 (* eps (- 1/4 (* 1/3 (/ 1 eps))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | ((- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log (+ 1 (* -1 eps))) (* -1 eps) -1 eps (log (+ 1 eps)) (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) (+ (* -1/4 eps) 1/3) -1/4 1/3 -1/2 1) |
| 1.0ms | eps | @ | -inf | ((- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log (+ 1 (* -1 eps))) (* -1 eps) -1 eps (log (+ 1 eps)) (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) (+ (* -1/4 eps) 1/3) -1/4 1/3 -1/2 1) |
| 1.0ms | eps | @ | 0 | ((- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) (log (+ 1 (* -1 eps))) (* -1 eps) -1 eps (log (+ 1 eps)) (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) (+ (* -1/4 eps) 1/3) -1/4 1/3 -1/2 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 285 | 1502 |
| 0 | 296 | 1358 |
| 1 | 1540 | 1334 |
| 0 | 8265 | 1266 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps))) |
(log1p.f64 (*.f64 #s(literal -1 binary64) eps)) |
(*.f64 #s(literal -1 binary64) eps) |
#s(literal -1 binary64) |
eps |
#s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) |
#s(literal -1/4 binary64) |
#s(literal 1/3 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -2 eps))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 eps))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* -1/2 eps) 1)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* -1/3 eps) 1/2)) 1)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1)))) |
#s(approx (* -1 eps) #s(hole binary64 (* -1 eps))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (log (+ 1 eps)) #s(hole binary64 eps)) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* -1/2 eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* 1/3 eps) 1/2)))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2)))))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 eps)) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 eps))))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* eps (+ 1 (* eps (- (* 1/3 eps) 1/2)))))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* eps (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2)))))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (+ 1 (* -1/2 eps)))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (+ 1 (* eps (- (* 1/3 eps) 1/2))))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (+ 1 (* eps (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))))) |
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (- (* 1/3 eps) 1/2))) |
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (- (* eps (+ 1/3 (* -1/4 eps))) 1/2))) |
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 1/3)) |
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (+ 1/3 (* -1/4 eps)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (log -1))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 eps)))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 eps))) (pow eps 2))))) (/ 1 eps)))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (* -1 (log (/ 1 eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (* -1 (log (/ 1 eps))) (/ 1 eps)))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (/ 1 eps)) (/ 1/2 (pow eps 2))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (- (+ (* -1 (log (/ 1 eps))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2))))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* -1/4 (pow eps 4)))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* 1/3 (/ 1 eps)) 1/4)))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* 1/3 (/ 1 eps)) (+ 1/4 (/ 1/2 (pow eps 2))))))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (+ (* 1/3 (/ 1 eps)) (/ 1 (pow eps 3))) (+ 1/4 (/ 1/2 (pow eps 2))))))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1/4 (pow eps 3)))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* (pow eps 3) (- (* 1/3 (/ 1 eps)) 1/4)))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* (pow eps 3) (- (* 1/3 (/ 1 eps)) (+ 1/4 (/ 1/2 (pow eps 2))))))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* (pow eps 3) (- (+ (* 1/3 (/ 1 eps)) (/ 1 (pow eps 3))) (+ 1/4 (/ 1/2 (pow eps 2))))))) |
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* -1/4 (pow eps 2)))) |
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/3 (/ 1 eps)) 1/4)))) |
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/3 (/ 1 eps)) (+ 1/4 (/ 1/2 (pow eps 2))))))) |
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (* -1/4 eps))) |
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (* eps (- (* 1/3 (/ 1 eps)) 1/4)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (log -1)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (+ (log -1) (* 2 (/ 1 eps)))))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1)))) |
#s(approx (- (log (+ 1 (* -1 eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)) (log -1)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (* -1 (log (/ -1 eps))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (- (* -1 (log (/ -1 eps))) (/ 1 eps)))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))) |
#s(approx (log (+ 1 (* -1 eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow eps 2)) (* 1/2 (/ 1 eps)))) eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 eps)))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (/ 1 eps))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* 1/2 (/ 1 eps)) 1) eps)))))) |
#s(approx (log (+ 1 eps)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 eps))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 eps)) 1/2) eps)) 1) eps)))))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/3) eps)) 1/4)))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) #s(hole binary64 (* (pow eps 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 eps) 1/2) eps)) 1/3) eps)) 1/4)))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/4 (* 1/3 (/ 1 eps))))))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 eps))) eps))))))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 eps)) eps))) eps))))))) |
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/3) eps)) 1/4)))) |
#s(approx (+ (* -1/4 eps) 1/3) #s(hole binary64 (* -1 (* eps (- 1/4 (* 1/3 (/ 1 eps))))))) |
| Outputs |
|---|
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#s(approx (log (+ 1 eps)) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) eps) #s(literal -1 binary64))))) |
#s(approx (log (+ 1 eps)) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 eps))) #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) eps) #s(literal -1 binary64)) #s(literal 1 binary64)) eps) #s(literal -1 binary64))))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (* (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) eps) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)) eps) #s(literal -1 binary64)) #s(literal 1/3 binary64)) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/3 binary64))))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) eps) #s(literal -1 binary64) #s(literal 1/4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) eps) 1) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal -1 binary64))) eps) #s(literal -1 binary64) #s(literal 1/3 binary64)) eps) #s(literal -1 binary64) #s(literal 1/4 binary64)))) |
#s(approx (+ (* (+ (* -1/4 eps) 1/3) eps) -1/2) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) eps) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 eps eps))) |
#s(approx (+ (* -1/4 eps) 1/3) (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1/3 binary64))) eps) #s(literal -1 binary64))) |
Compiled 5 212 to 758 computations (85.5% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 141 | 0 | 141 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 141 | 2 | 143 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps)) |
| ✓ | 99.8% | (-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps))) |
Compiled 66 to 46 computations (30.3% saved)
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps))) |
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps)) |
| Outputs |
|---|
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps)) |
3 calls:
| 2.0ms | eps |
| 1.0ms | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) |
| 100.0% | 1 | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
| 100.0% | 1 | eps |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps))) |
| Outputs |
|---|
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps))) |
3 calls:
| 1.0ms | eps |
| 1.0ms | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) |
| 99.8% | 1 | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
| 99.8% | 1 | eps |
Compiled 16 to 12 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
| Outputs |
|---|
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
3 calls:
| 1.0ms | eps |
| 1.0ms | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) |
| 7.4% | 1 | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
| 7.4% | 1 | eps |
Compiled 16 to 12 computations (25% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 35 |
| 1 | 32 | 35 |
| 2 | 43 | 35 |
| 3 | 58 | 35 |
| 4 | 87 | 35 |
| 5 | 283 | 35 |
| 6 | 2629 | 35 |
| 7 | 6592 | 35 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps)) |
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps))) |
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
| Outputs |
|---|
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) (log1p.f64 eps)) |
(-.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) eps)) #s(approx (log (+ 1 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps #s(literal 1/3 binary64)) eps #s(literal -1/2 binary64)) eps #s(literal 1 binary64)) eps))) |
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
| 1× | done |
Compiled 37 to 23 computations (37.8% saved)
Compiled 90 to 58 computations (35.6% saved)
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