logq (problem 3.4.3)
Time bar (total: 3.8s)
| 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)
| 1.3s | 3 383× | 2 | valid |
| 1.3s | 4 743× | 1 | valid |
| 6.0ms | 130× | 0 | valid |
ival-log: 1.7s (71.6% of total)adjust: 352.0ms (14.9% of total)ival-div!: 152.0ms (6.4% of total)ival-sub!: 118.0ms (5% of total)ival-add!: 47.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-fabs: 0.0ms (0% of total)ival-<: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 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 | 256 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 82.0ms | 290× | 1 | valid |
| 80.0ms | 220× | 2 | valid |
| 0.0ms | 2× | 0 | valid |
Compiled 58 to 22 computations (62.1% saved)
ival-log: 74.0ms (52.1% of total)ival-div!: 46.0ms (32.4% of total)adjust: 14.0ms (9.9% of total)ival-add!: 4.0ms (2.8% of total)ival-sub!: 4.0ms (2.8% of total)Useful iterations: 3 (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 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.7% | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) 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 (-.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 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (log.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) eps)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #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))))) (+.f64 (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 (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (fma.f64 #s(literal -1 binary64) eps #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 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 eps #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) 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 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) eps)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) |
(/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (neg.f64 eps) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 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 #s(literal -1 binary64) eps #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 eps #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 eps #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 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 (neg.f64 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) (neg.f64 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 (pow.f64 eps #s(literal 3 binary64)) (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 (neg.f64 eps) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 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 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (neg.f64 eps) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 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)) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) eps) |
(*.f64 eps (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64)) eps) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (pow.f64 eps #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) |
(/.f64 (*.f64 eps (+.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) (pow.f64 eps #s(literal -1 binary64)))) |
(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 eps #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))) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) eps))) |
(-.f64 eps (*.f64 (neg.f64 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) (neg.f64 eps)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 eps #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 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 #s(literal -2 binary64) eps #s(literal 1 binary64))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (fma.f64 #s(literal 2 binary64) eps #s(literal -2 binary64)) eps #s(literal 1 binary64))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) eps #s(literal 2 binary64)) eps #s(literal -2 binary64)) eps #s(literal 1 binary64))) |
#s(approx (- 1 eps) #s(literal 1 binary64)) |
#s(approx (- 1 eps) (-.f64 #s(literal 1 binary64) eps)) |
#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))) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 2 binary64)) eps))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (-.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) eps))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal -1 binary64)) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (-.f64 (/.f64 #s(literal 2 binary64) eps) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) eps) (fma.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64))))) |
#s(approx (- 1 eps) (neg.f64 eps)) |
#s(approx (- 1 eps) (*.f64 (-.f64 (pow.f64 eps #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))) (-.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -2/5 binary64) #s(literal -2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) eps))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #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 (-.f64 (/.f64 #s(literal 2 binary64) eps) #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) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (neg.f64 eps))) |
Compiled 1 400 to 364 computations (74% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 86 | 4 | 90 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 87 | 4 | 91 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ▶ | 5.4% | (log.f64 #s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64))) |
| ▶ | 100.0% | #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)) |
| ▶ | 99.7% | #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps)) |
Compiled 45 to 34 computations (24.4% saved)
| Inputs |
|---|
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps)) |
(*.f64 #s(literal -2 binary64) eps) |
#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)) |
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps) |
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) |
(*.f64 eps eps) |
#s(literal -2/3 binary64) |
(log.f64 #s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(log1p.f64 (neg.f64 eps)) |
(neg.f64 eps) |
(log1p.f64 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 (* -2 eps) #s(hole binary64 (* -2 eps))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* -2 eps))) |
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2)))) |
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 -2)) |
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 (- (* -2/3 (pow eps 2)) 2))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 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 (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* -2 eps))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2)))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)))) |
#s(approx (- (log (+ 1 (neg 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 (neg eps))) #s(hole binary64 (* -1 eps))) |
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* eps (- (* -1/2 eps) 1)))) |
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* eps (- (* eps (- (* -1/3 eps) 1/2)) 1)))) |
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1)))) |
#s(approx (neg eps) #s(hole binary64 (* -1 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 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 (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* -2/3 (pow eps 3)))) |
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2)))))))) |
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 (* -2/3 (pow eps 2)))) |
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2)))))))) |
#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 (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (log -1))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps))))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))))) |
#s(approx (- (log (+ 1 (neg 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 (neg eps))) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 eps)))))) |
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps)))) |
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))))) |
#s(approx (log (+ 1 (neg 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 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 (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (log -1)))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (+ (log -1) (* 2 (/ 1 eps)))))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1)))) |
#s(approx (- (log (+ 1 (neg 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 (neg eps))) #s(hole binary64 (* -1 (log (/ -1 eps))))) |
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (- (* -1 (log (/ -1 eps))) (/ 1 eps)))) |
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))) |
#s(approx (log (+ 1 (neg 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 | |
|---|---|---|---|---|
| 3.0ms | eps | @ | 0 | ((log (/ (- 1 eps) (+ 1 eps))) (* -2 eps) -2 eps (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (* eps eps) -2/3) -2) eps) (+ (* (* eps eps) -2/3) -2) (* eps eps) -2/3 (log (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)) 1 (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (neg eps) (log (+ 1 eps))) |
| 2.0ms | eps | @ | inf | ((log (/ (- 1 eps) (+ 1 eps))) (* -2 eps) -2 eps (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (* eps eps) -2/3) -2) eps) (+ (* (* eps eps) -2/3) -2) (* eps eps) -2/3 (log (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)) 1 (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (neg eps) (log (+ 1 eps))) |
| 2.0ms | eps | @ | -inf | ((log (/ (- 1 eps) (+ 1 eps))) (* -2 eps) -2 eps (log (/ (- 1 eps) (+ 1 eps))) (* (+ (* (* eps eps) -2/3) -2) eps) (+ (* (* eps eps) -2/3) -2) (* eps eps) -2/3 (log (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)) 1 (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log (+ 1 (neg eps))) (neg eps) (log (+ 1 eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 267 | 1257 |
| 0 | 277 | 1144 |
| 1 | 1498 | 1120 |
| 0 | 8286 | 1097 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps)) |
(*.f64 #s(literal -2 binary64) eps) |
#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)) |
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps) |
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) |
(*.f64 eps eps) |
#s(literal -2/3 binary64) |
(log.f64 #s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(log1p.f64 (neg.f64 eps)) |
(neg.f64 eps) |
(log1p.f64 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 (* -2 eps) #s(hole binary64 (* -2 eps))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* -2 eps))) |
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2)))) |
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 -2)) |
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 (- (* -2/3 (pow eps 2)) 2))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 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 (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* -2 eps))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* -2/3 (pow eps 2)) 2)))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)))) |
#s(approx (- (log (+ 1 (neg 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 (neg eps))) #s(hole binary64 (* -1 eps))) |
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* eps (- (* -1/2 eps) 1)))) |
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* eps (- (* eps (- (* -1/3 eps) 1/2)) 1)))) |
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (* eps (- (* eps (- (* eps (- (* -1/4 eps) 1/3)) 1/2)) 1)))) |
#s(approx (neg eps) #s(hole binary64 (* -1 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 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 (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* -2/3 (pow eps 3)))) |
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2)))))))) |
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 (* -2/3 (pow eps 2)))) |
#s(approx (+ (* (* eps eps) -2/3) -2) #s(hole binary64 (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2)))))))) |
#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 (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (log -1))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (- (log -1) (* 2 (/ 1 eps))))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps))))) |
#s(approx (- (log (+ 1 (neg 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 (neg eps))) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 eps)))))) |
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 eps)))) (/ 1 eps)))) |
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps)))))) |
#s(approx (log (+ 1 (neg 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 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 (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (log -1)))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (* -1 (+ (log -1) (* 2 (/ 1 eps)))))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)) (log -1)))) |
#s(approx (- (log (+ 1 (neg 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 (neg eps))) #s(hole binary64 (* -1 (log (/ -1 eps))))) |
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (- (* -1 (log (/ -1 eps))) (/ 1 eps)))) |
#s(approx (log (+ 1 (neg eps))) #s(hole binary64 (+ (* -1 (log (/ -1 eps))) (* -1 (/ (+ 1 (* 1/2 (/ 1 eps))) eps))))) |
#s(approx (log (+ 1 (neg 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 |
|---|
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps)) |
(*.f64 #s(literal -2 binary64) eps) |
(*.f64 eps #s(literal -2 binary64)) |
#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)) |
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps) |
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64))) |
(/.f64 (fma.f64 #s(literal -8/27 binary64) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) |
(fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64)) |
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64))))) (/.f64 #s(literal -8 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64)))))) |
(+.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal -2 binary64)) |
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))) |
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps))) |
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps))) |
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps))) |
(*.f64 (fabs.f64 eps) (fabs.f64 eps)) |
(*.f64 (neg.f64 eps) (neg.f64 eps)) |
(*.f64 eps eps) |
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 eps) #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64)) |
(pow.f64 eps #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -2 binary64))) |
(fabs.f64 (*.f64 eps eps)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) |
#s(literal -2/3 binary64) |
(log.f64 #s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (/.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) (/.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 eps) (log1p.f64 eps) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
(log.f64 (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) |
(log1p.f64 (neg.f64 eps)) |
(-.f64 (log1p.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 1 binary64) (neg.f64 eps))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (log.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) |
(log.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) eps) |
(*.f64 eps #s(literal -1 binary64)) |
(neg.f64 eps) |
(log1p.f64 eps) |
(-.f64 (log1p.f64 (pow.f64 eps #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 1 binary64) eps)))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (log.f64 (-.f64 #s(literal 1 binary64) eps))) |
(log.f64 (+.f64 eps #s(literal 1 binary64))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps)) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) eps)) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (-.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.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 (* -2 eps) (*.f64 #s(literal -2 binary64) eps)) |
#s(approx eps eps) |
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) (*.f64 #s(literal -2 binary64) eps)) |
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) eps)) |
#s(approx (+ (* (* eps eps) -2/3) -2) #s(literal -2 binary64)) |
#s(approx (+ (* (* eps eps) -2/3) -2) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64))) |
#s(approx (* eps eps) (*.f64 eps eps)) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64)) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 #s(literal -2 binary64) eps #s(literal 1 binary64))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps #s(literal 1 binary64))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) eps #s(literal 2 binary64)) eps) #s(literal 2 binary64)) eps #s(literal 1 binary64))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps)) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64)) #s(literal 2 binary64)) eps)) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (*.f64 (-.f64 (*.f64 (-.f64 (*.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 (neg eps))) (log (+ 1 eps))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.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 (neg eps))) (neg.f64 eps)) |
#s(approx (log (+ 1 (neg eps))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) #s(literal 1 binary64)) eps)) |
#s(approx (log (+ 1 (neg eps))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) eps) #s(literal 1/2 binary64)) eps) #s(literal 1 binary64)) eps)) |
#s(approx (log (+ 1 (neg eps))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.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 (neg eps) (neg.f64 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 (-.f64 (*.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 (-.f64 (*.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 eps) (+ 1 eps))) (log.f64 #s(literal -1 binary64))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 2 binary64)) eps) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (-.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) eps))) |
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -2/3 binary64))) |
#s(approx (* (+ (* (* eps eps) -2/3) -2) eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2/3 binary64)))) |
#s(approx (+ (* (* eps eps) -2/3) -2) (*.f64 (*.f64 eps eps) #s(literal -2/3 binary64))) |
#s(approx (+ (* (* eps eps) -2/3) -2) (neg.f64 (*.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2/3 binary64)) (*.f64 eps eps)))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal -1 binary64)) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (-.f64 (/.f64 #s(literal 2 binary64) eps) (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (-.f64 (fma.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) eps)) (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log.f64 #s(literal -1 binary64))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) eps))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (fma.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 2 binary64)) eps) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (-.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) eps))) |
#s(approx (log (+ 1 (neg eps))) (log.f64 (neg.f64 eps))) |
#s(approx (log (+ 1 (neg eps))) (-.f64 (log.f64 (neg.f64 eps)) (pow.f64 eps #s(literal -1 binary64)))) |
#s(approx (log (+ 1 (neg eps))) (+.f64 (log.f64 (neg.f64 eps)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64)) eps)))) |
#s(approx (log (+ 1 (neg eps))) (-.f64 (+.f64 (log.f64 (neg.f64 eps)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) eps) #s(literal 1/2 binary64)) (*.f64 eps eps)))) (pow.f64 eps #s(literal -1 binary64)))) |
#s(approx (log (+ 1 eps)) (log.f64 eps)) |
#s(approx (log (+ 1 eps)) (+.f64 (log.f64 eps) (pow.f64 eps #s(literal -1 binary64)))) |
#s(approx (log (+ 1 eps)) (-.f64 (+.f64 (log.f64 eps) (pow.f64 eps #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
#s(approx (log (+ 1 eps)) (-.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 eps #s(literal -1 binary64))) (log.f64 eps)) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (fma.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 2 binary64)) eps) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps)) #s(literal 1 binary64))) |
#s(approx (/ (- 1 eps) (+ 1 eps)) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) eps)) #s(literal 1 binary64))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (log.f64 #s(literal -1 binary64))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) eps) (log.f64 #s(literal -1 binary64))))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 2 binary64)) eps)) (log.f64 #s(literal -1 binary64)))) |
#s(approx (- (log (+ 1 (neg eps))) (log (+ 1 eps))) (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 2 binary64)) eps)) (log.f64 #s(literal -1 binary64)))) |
#s(approx (log (+ 1 (neg eps))) (neg.f64 (neg.f64 (log.f64 (neg.f64 eps))))) |
#s(approx (log (+ 1 (neg eps))) (-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 eps)))) (pow.f64 eps #s(literal -1 binary64)))) |
#s(approx (log (+ 1 (neg eps))) (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 (neg.f64 eps))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64)) eps)))) |
#s(approx (log (+ 1 (neg eps))) (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 (neg.f64 eps))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) eps)) eps)))) |
#s(approx (log (+ 1 eps)) (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
#s(approx (log (+ 1 eps)) (+.f64 (log.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 eps #s(literal -1 binary64)))) |
#s(approx (log (+ 1 eps)) (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 (neg.f64 eps))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64)) eps)) (log.f64 #s(literal -1 binary64)))) |
#s(approx (log (+ 1 eps)) (fma.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (log.f64 (neg.f64 eps))) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) eps) #s(literal 1/2 binary64)) eps)) #s(literal 1 binary64)) eps)) (log.f64 #s(literal -1 binary64)))) |
Compiled 2 262 to 494 computations (78.2% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 110 | 0 | 110 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 0 | 0 |
| Total | 110 | 4 | 114 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| ✓ | 5.4% | (log.f64 #s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64))) |
| ✓ | 100.0% | #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)) |
| ✓ | 99.7% | #s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps)) |
Compiled 98 to 59 computations (39.8% saved)
| Inputs |
|---|
(log.f64 #s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps)) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) eps)) |
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
| Outputs |
|---|
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64)) 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 #s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps)) |
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) |
| Outputs |
|---|
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 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 |
|---|---|---|
| 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 #s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64))) |
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 binary64) eps)) |
| Outputs |
|---|
#s(approx (log (/ (- 1 eps) (+ 1 eps))) (*.f64 #s(literal -2 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 |
|---|---|---|
| 99.7% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) |
| 99.7% | 1 | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
| 99.7% | 1 | eps |
Compiled 16 to 12 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(log.f64 #s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64))) |
| Outputs |
|---|
(log.f64 #s(approx (/ (- 1 eps) (+ 1 eps)) #s(literal 1 binary64))) |
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 |
|---|---|---|
| 5.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) |
| 5.4% | 1 | (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) |
| 5.4% | 1 | eps |
Compiled 16 to 12 computations (25% saved)
| 1× | done |
Compiled 45 to 21 computations (53.3% saved)
Compiled 106 to 54 computations (49.1% saved)
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