Details

sample163.0ms

Algorithm

intervals

Results

41.0ms	48×	body	10240	exit
36.0ms	47×	body	1280	valid
24.0ms	50×	body	640	valid
11.0ms	118×	body	80	valid
7.0ms	28×	body	320	valid
6.0ms	104×	body	80	nan
3.0ms	9×	body	640	nan
3.0ms	13×	body	160	valid
2.0ms	11×	body	320	nan
1.0ms	4×	body	160	nan
0.0ms	1×	body	1280	nan

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3550
6	735
5	195
4	73
3	48
2	33
1	20
0	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.0b	(+ (- 1.0 y) (* y (exp z)))
2.2b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
8×	`pow1` `add-log-exp`
6×	`add-exp-log`
5×	`add-cbrt-cube` `log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `associate-/r*` `flip3-+` `flip-+`
2×	`associate-+l+` `sum-log` `div-sub`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `associate-+l-` `div-inv`

Counts

3 → 62

Calls

3 calls:

79.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
49.0ms	(+ (- 1.0 y) (* y (exp z)))
30.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series387.0ms

Counts

3 → 9

Calls

3 calls:

234.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
49.0ms	(+ (- 1.0 y) (* y (exp z)))
104.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify1.2s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1772
1	406
0	172

prune465.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.8b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 (- y (* y (exp z))))) t)
1.4b	(log (- 1.0 (- y (* y (exp z)))))
3.3b	(- y (* y (exp z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cube-cbrt`
12×	`times-frac`
8×	`pow1`
6×	`add-exp-log`
5×	`log-prod` `add-cbrt-cube` `log-pow` `add-log-exp`
4×	`log-div` `associate-/l*`
3×	`associate-/r*` `flip3--` `flip--`
2×	`div-sub`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 61

Calls

3 calls:

21.0ms	(/ (log (- 1.0 (- y (* y (exp z))))) t)
8.0ms	(log (- 1.0 (- y (* y (exp z)))))
4.0ms	(- y (* y (exp z)))

series353.0ms

Counts

3 → 9

Calls

3 calls:

219.0ms	(/ (log (- 1.0 (- y (* y (exp z))))) t)
93.0ms	(log (- 1.0 (- y (* y (exp z)))))
42.0ms	(- y (* y (exp z)))

simplify1.0s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1713
1	433
0	187

prune452.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.8b

localize43.0ms

Local error

Found 4 expressions with local error:

1.5b	(log (* (cbrt (- 1.0 (- y (* y (exp z))))) (cbrt (- 1.0 (- y (* y (exp z)))))))
3.3b	(- y (* y (exp z)))
3.3b	(- y (* y (exp z)))
3.3b	(- y (* y (exp z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `cbrt-div`
10×	`add-log-exp`
9×	`flip3--` `log-pow` `flip--`
8×	`log-div`
7×	`add-exp-log`
6×	`pow1/3`
4×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
3×	`sub-neg` `diff-log`
2×	`rem-log-exp` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `log-prod` `pow-plus` `prod-exp`

Counts

4 → 63

Calls

4 calls:

24.0ms	(log (* (cbrt (- 1.0 (- y (* y (exp z))))) (cbrt (- 1.0 (- y (* y (exp z)))))))
4.0ms	(- y (* y (exp z)))
4.0ms	(- y (* y (exp z)))
4.0ms	(- y (* y (exp z)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(log (* (cbrt (- 1.0 (- y (* y (exp z))))) (cbrt (- 1.0 (- y (* y (exp z)))))))
41.0ms	(- y (* y (exp z)))
39.0ms	(- y (* y (exp z)))
43.0ms	(- y (* y (exp z)))

simplify1.2s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	1868
1	432
0	174

prune661.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.8b

localize38.0ms

Local error

Found 4 expressions with local error:

1.4b	(log (- 1.0 (- y (* y (exp z)))))
3.3b	(- y (* y (exp z)))
3.3b	(- y (* y (exp z)))
3.3b	(- y (* y (exp z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `log-prod` `add-exp-log` `add-cube-cbrt`
4×	`flip3--` `add-cbrt-cube` `flip--`
3×	`sub-neg` `diff-log`
2×	`log-div`
1×	`rem-log-exp` `log-pow` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 52

Calls

4 calls:

8.0ms	(log (- 1.0 (- y (* y (exp z)))))
4.0ms	(- y (* y (exp z)))
4.0ms	(- y (* y (exp z)))
4.0ms	(- y (* y (exp z)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(log (- 1.0 (- y (* y (exp z)))))
41.0ms	(- y (* y (exp z)))
39.0ms	(- y (* y (exp z)))
42.0ms	(- y (* y (exp z)))

simplify748.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	1112
1	274
0	113

prune547.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 4.8b

regimes613.0ms

Accuracy

54.2% (4.9b remaining)

Error of 8.5b against oracle of 3.6b and baseline of 14.3b

bsearch1.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.1s	1511×	body	10240	exit
1.3s	1481×	body	1280	valid
746.0ms	1495×	body	640	valid
376.0ms	3563×	body	80	valid
287.0ms	898×	body	320	valid
165.0ms	521×	body	160	valid
154.0ms	2511×	body	80	nan
152.0ms	276×	body	640	nan
133.0ms	79×	body	2560	valid
48.0ms	101×	body	1280	nan
41.0ms	191×	body	320	nan
16.0ms	121×	body	160	nan