Details

sample190.0ms

Algorithm

intervals

Results

46.0ms	48×	body	1280	valid
33.0ms	36×	body	10240	exit
30.0ms	56×	body	640	valid
14.0ms	23×	body	320	valid
13.0ms	115×	body	80	valid
6.0ms	69×	body	80	nan
3.0ms	14×	body	160	valid
3.0ms	7×	body	640	nan
3.0ms	2×	body	2560	valid
1.0ms	3×	body	1280	nan
1.0ms	4×	body	320	nan
0.0ms	1×	body	160	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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.4b	(log (+ (- 1.0 y) (* y (exp z))))
2.9b	(+ (- 1.0 y) (* y (exp z)))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `associate-/r` `flip3-+` `associate-r` `associate-l*` `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` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

19.0ms	(* y (exp z))
84.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
36.0ms	(log (+ (- 1.0 y) (* y (exp z))))
45.0ms	(+ (- 1.0 y) (* y (exp z)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* y (exp z))
195.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
112.0ms	(log (+ (- 1.0 y) (* y (exp z))))
65.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1816
1	464
0	197

prune733.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (* z z)) (* z 1.0)))) t))
0.0b	(* 0.5 (* z z))
2.8b	(* y (+ (* 0.5 (* z z)) (* z 1.0)))
4.2b	(/ (+ (log 1.0) (* y (+ (* 0.5 (* z z)) (* z 1.0)))) t)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
10×	`times-frac`
6×	`associate-l` `add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

4 → 85

Calls

4 calls:

31.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (* z z)) (* z 1.0)))) t))
13.0ms	(* 0.5 (* z z))
58.0ms	(* y (+ (* 0.5 (* z z)) (* z 1.0)))
38.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (* z z)) (* z 1.0)))) t)

series456.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (* z z)) (* z 1.0)))) t))
27.0ms	(* 0.5 (* z z))
96.0ms	(* y (+ (* 0.5 (* z z)) (* z 1.0)))
166.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (* z z)) (* z 1.0)))) t)

simplify1.8s

Counts

97 → 97

Iterations

Iter	Nodes
done	5002
2	2292
1	484
0	176

prune660.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.9b

localize24.0ms

Local error

Found 1 expressions with local error:

3.5b	(/ (* z y) t)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

8.0ms

(/ (* z y) t)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(/ (* z y) t)

simplify850.0ms

Counts

24 → 24

Iterations

Iter	Nodes
done	5000
2	624
1	119
0	48

prune220.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.9b

localize25.0ms

Local error

Found 1 expressions with local error:

3.6b	(* (* z y) (/ 1 t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 38

Calls

1 calls:

23.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify1.3s

Counts

41 → 41

Iterations

Iter	Nodes
done	5002
2	1592
1	248
0	83

prune153.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.9b

regimes1.3s

Accuracy

62.3% (4.8b remaining)

Error of 8.6b against oracle of 3.7b and baseline of 16.5b

bsearch1.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	35
1	35
0	27

end0.0ms

sample6.5s

Algorithm

intervals

Results

1.7s	1620×	body	10240	exit
1.2s	1456×	body	1280	valid
789.0ms	1534×	body	640	valid
712.0ms	3534×	body	80	valid
445.0ms	276×	body	640	nan
267.0ms	941×	body	320	valid
197.0ms	2554×	body	80	nan
139.0ms	85×	body	2560	valid
84.0ms	476×	body	160	valid
51.0ms	103×	body	1280	nan
37.0ms	168×	body	320	nan
16.0ms	110×	body	160	nan