Details

sample214.0ms

Algorithm

intervals

Results

68.0ms	65×	body	10240	exit
46.0ms	50×	body	1280	valid
24.0ms	48×	body	640	valid
13.0ms	121×	body	80	valid
8.0ms	25×	body	320	valid
6.0ms	86×	body	80	nan
5.0ms	2×	body	2560	valid
2.0ms	12×	body	160	valid
2.0ms	7×	body	640	nan
2.0ms	7×	body	320	nan
1.0ms	1×	body	1280	nan
0.0ms	4×	body	160	nan

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	20	13
2	33	13
3	48	13
4	73	13
5	195	13
6	738	13
7	3477	13
done	5001	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.8b	(log (+ (- 1.0 y) (* y (exp z))))
3.8b	(+ (- 1.0 y) (* y (exp z)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`times-frac`
11×	`add-log-exp`
9×	`pow1`
7×	`add-exp-log`
6×	`log-div` `add-cbrt-cube`
5×	`log-pow`
4×	`flip3-+` `div-sub` `flip-+` `associate-/l*`
3×	`log-prod` `associate-/r*`
2×	`sub-neg` `associate-+l+` `diff-log` `sum-log` `associate--r-` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3--` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 79

Calls

4 calls:

22.0ms	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
91.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
45.0ms	(log (+ (- 1.0 y) (* y (exp z))))
52.0ms	(+ (- 1.0 y) (* y (exp z)))

series477.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
216.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
106.0ms	(log (+ (- 1.0 y) (* y (exp z))))
42.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify1.0s

Counts

91 → 91

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	208	1707
1	483	1638
2	1824	1521
done	5001	1520

prune490.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.2b

localize22.0ms

Local error

Found 1 expressions with local error:

5.3b	(/ (* z y) t)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

21.0ms

(/ (* z y) t)

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(/ (* z y) t)

simplify765.0ms

Counts

24 → 24

Iterations

Useful iterations: done (764.0ms)

Iter	Nodes	Cost
0	48	186
1	119	179
2	627	155
done	5000	149

prune179.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.5b

localize34.0ms

Local error

Found 1 expressions with local error:

5.3b	(* (* z y) (/ 1 t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
13×	`associate-r` `add-cbrt-cube`
12×	`prod-exp`
9×	`times-frac`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-unprod`
4×	`div-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`associate-r/` `associate-l` `un-div-inv` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 38

Calls

1 calls:

50.0ms

(* (* z y) (/ 1 t))

series30.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* (* z y) (/ 1 t))

simplify2.1s

Counts

41 → 41

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	83	411
1	248	349
2	1602	246
done	5000	238

prune135.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 4.5b

localize14.0ms

Local error

Found 1 expressions with local error:

4.9b	(* z (/ y t))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

15.0ms

(* z (/ y t))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(* z (/ y t))

simplify2.4s

Counts

35 → 35

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	69	277
1	179	264
2	668	234
3	4625	234
done	5001	230

prune116.0ms

Pruning

18 alts after pruning (15 fresh and 3 done)

Merged error: 4.5b

regimes1.2s

Accuracy

63.4% (4.7b remaining)

Error of 8.6b against oracle of 3.9b and baseline of 16.6b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	48
1	39	48
done	39	48

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.3s	1518×	body	10240	exit
1.3s	1463×	body	1280	valid
853.0ms	1549×	body	640	valid
388.0ms	3512×	body	80	valid
381.0ms	906×	body	320	valid
159.0ms	2464×	body	80	nan
147.0ms	80×	body	2560	valid
141.0ms	512×	body	160	valid
121.0ms	263×	body	640	nan
96.0ms	119×	body	1280	nan
86.0ms	207×	body	320	nan
16.0ms	111×	body	160	nan