Details

sample163.0ms

Algorithm

intervals

Results

37.0ms	48×	body	1280	valid
30.0ms	36×	body	10240	exit
27.0ms	56×	body	640	valid
12.0ms	115×	body	80	valid
7.0ms	23×	body	320	valid
5.0ms	69×	body	80	nan
4.0ms	2×	body	2560	valid
3.0ms	14×	body	160	valid
2.0ms	7×	body	640	nan
2.0ms	3×	body	1280	nan
1.0ms	4×	body	320	nan
0.0ms	1×	body	160	nan

simplify2.6s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.5b

localize34.0ms

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)))

rewrite178.0ms

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:

11.0ms	(* y (exp z))
88.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
30.0ms	(log (+ (- 1.0 y) (* y (exp z))))
47.0ms	(+ (- 1.0 y) (* y (exp z)))

series508.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* y (exp z))
291.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
130.0ms	(log (+ (- 1.0 y) (* y (exp z))))
56.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify837.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1816
1	464
0	197

prune720.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* z 1.0)))) t))
0.0b	(* 0.5 (pow z 2))
2.8b	(* y (+ (* 0.5 (pow z 2)) (* z 1.0)))
4.2b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* z 1.0)))) t)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`add-exp-log`
11×	`associate-r`
10×	`times-frac` `add-cbrt-cube`
6×	`pow1` `associate-l` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `unpow2` `difference-of-squares` `sqr-pow` `associate-/l/`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `diff-log` `div-exp` `pow-prod-down` `pow-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

4 → 93

Calls

4 calls:

30.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* z 1.0)))) t))
9.0ms	(* 0.5 (pow z 2))
29.0ms	(* y (+ (* 0.5 (pow z 2)) (* z 1.0)))
44.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* z 1.0)))) t)

series640.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* z 1.0)))) t))
48.0ms	(* 0.5 (pow z 2))
169.0ms	(* y (+ (* 0.5 (pow z 2)) (* z 1.0)))
220.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* z 1.0)))) t)

simplify952.0ms

Counts

105 → 105

Iterations

Iter	Nodes
done	5002
2	2044
1	497
0	192

prune762.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.5b

localize23.0ms

Local error

Found 1 expressions with local error:

3.5b	(/ (* y (* z 1.0)) t)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

36.0ms

(/ (* y (* z 1.0)) t)

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(/ (* y (* z 1.0)) t)

simplify873.0ms

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
2	1076
1	182
0	65

prune252.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.9b

localize20.0ms

Local error

Found 1 expressions with local error:

3.8b	(/ y (/ t (* 1.0 z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 48

Calls

1 calls:

12.0ms

(/ y (/ t (* 1.0 z)))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(/ y (/ t (* 1.0 z)))

simplify613.0ms

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
2	1262
1	292
0	116

prune304.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.9b

regimes797.0ms

Accuracy

63.6% (4.6b remaining)

Error of 8.4b against oracle of 3.7b and baseline of 16.5b

bsearch2.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	33
1	33
0	29

end0.0ms

sample6.0s

Algorithm

intervals

Results

1.7s	1456×	body	1280	valid
1.3s	1620×	body	10240	exit
730.0ms	3534×	body	80	valid
723.0ms	1534×	body	640	valid
333.0ms	941×	body	320	valid
222.0ms	2554×	body	80	nan
148.0ms	476×	body	160	valid
137.0ms	85×	body	2560	valid
85.0ms	276×	body	640	nan
76.0ms	168×	body	320	nan
46.0ms	103×	body	1280	nan
14.0ms	110×	body	160	nan