Details

sample99.0ms

Algorithm

intervals

Results

52.0ms	112×	body	1280	valid
20.0ms	82×	body	640	valid
7.0ms	258×	body	80	nan
5.0ms	33×	body	320	valid
2.0ms	23×	body	160	valid
0.0ms	6×	body	80	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	6
1	25	6
2	40	6
3	61	6
4	88	6
5	104	6
6	113	6
7	113	6
done	113	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.7b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

26.0ms	(/ (+ 1.0 x) (- 1.0 x))
10.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
124.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify117.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	318	660
1	1025	624
2	4261	602
3	5001	602
done	5001	602

prune188.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 2) x)
0.0b	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
72×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
41×	`*-un-lft-identity`
38×	`add-cube-cbrt`
26×	`add-exp-log` `unpow2`
24×	`sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp` `add-log-exp`
8×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
5×	`pow1` `associate-+r+` `associate-*r/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`log-prod` `associate-l` `associate--l+` `sum-log`
2×	`+-commutative` `associate-+l+` `flip3--` `flip--` `cbrt-unprod`
1×	`cbrt-undiv` `distribute-rgt-in` `associate-+r-` `sub-neg` `distribute-rgt-out` `distribute-lft-in` `distribute-lft1-in` `diff-log` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out`

Counts

3 → 148

Calls

3 calls:

11.0ms	(+ (pow x 2) x)
28.0ms	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
38.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series419.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (pow x 2) x)
321.0ms	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
54.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify90.0ms

Counts

157 → 157

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	824	1222
1	4177	1022
2	5002	1022
done	5002	1022

prune398.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow x 2) x)
0.0b	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
2.6b	(exp (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
75×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
44×	`*-un-lft-identity`
41×	`add-cube-cbrt`
27×	`add-exp-log`
26×	`unpow2`
24×	`sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp` `add-log-exp`
9×	`associate-*r/` `div-exp` `add-cbrt-cube`
8×	`frac-add`
7×	`pow1` `flip3-+` `flip-+`
6×	`pow-to-exp` `log-div` `log-prod` `exp-diff` `pow-exp`
5×	`associate-+r+`
4×	`exp-prod` `flip3--` `flip--`
3×	`associate-l` `exp-sum` `associate--l+` `sum-log`
2×	`+-commutative` `associate-+l+` `cbrt-unprod`
1×	`cbrt-undiv` `distribute-rgt-in` `associate-+r-` `sub-neg` `distribute-rgt-out` `distribute-lft-in` `distribute-lft1-in` `diff-log` `pow-prod-down` `log-pow` `*-commutative` `div-inv` `rem-exp-log` `distribute-lft-out`

Counts

4 → 169

Calls

4 calls:

11.0ms	(+ (pow x 2) x)
27.0ms	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
35.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
30.0ms	(exp (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))

series743.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (pow x 2) x)
326.0ms	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
58.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
319.0ms	(exp (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))

simplify101.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	884	1658
1	3872	1503
2	5001	1472
done	5001	1472

prune499.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow x 2) x)
0.0b	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
2.7b	(pow E (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
76×	`add-sqr-sqrt`
68×	`associate-r`
59×	`unpow-prod-down`
45×	`*-un-lft-identity`
42×	`add-cube-cbrt`
28×	`add-exp-log`
26×	`unpow2`
25×	`sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp` `add-log-exp`
9×	`associate-*r/` `div-exp` `add-cbrt-cube`
8×	`pow1` `frac-add` `pow-exp`
7×	`pow-to-exp` `flip3-+` `flip-+`
6×	`log-div` `log-prod` `pow-sub`
5×	`associate-+r+`
4×	`pow-unpow` `flip3--` `flip--`
3×	`unpow-prod-up` `associate-l` `associate--l+` `sum-log`
2×	`+-commutative` `associate-+l+` `cbrt-unprod`
1×	`cbrt-undiv` `distribute-rgt-in` `associate-+r-` `sub-neg` `e-exp-1` `distribute-rgt-out` `pow-pow` `distribute-lft-in` `distribute-lft1-in` `diff-log` `pow-prod-down` `log-pow` `*-commutative` `div-inv` `distribute-lft-out`

Counts

4 → 176

Calls

4 calls:

11.0ms	(+ (pow x 2) x)
27.0ms	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
235.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
31.0ms	(pow E (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))

series699.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (pow x 2) x)
318.0ms	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
51.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
287.0ms	(pow E (log (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))

simplify116.0ms

Counts

188 → 188

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1099	1947
1	4912	1795
2	5001	1795
done	5001	1795

prune573.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes47.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12
done	20	12

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.5s	3393×	body	1280	valid
611.0ms	2513×	body	640	valid
214.0ms	8048×	body	80	nan
188.0ms	1294×	body	320	valid
51.0ms	596×	body	160	valid
8.0ms	204×	body	80	valid