Details

sample222.0ms

Algorithm

intervals

Results

97.0ms	115×	body	1280	valid
65.0ms	78×	body	640	valid
21.0ms	288×	body	80	nan
12.0ms	43×	body	320	valid
3.0ms	15×	body	160	valid
0.0ms	5×	body	80	valid

simplify150.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	25	12
3	40	12
4	61	12
5	88	12
6	102	12
7	106	12
done	106	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
3.7b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite74.0ms

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:

50.0ms	(/ (+ 1.0 x) (- 1.0 x))
10.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series221.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (+ 1.0 x) (- 1.0 x))
174.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.8s

Counts

88 → 88

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	142	1276
1	319	1221
2	803	1150
3	1966	1108
done	5000	1104

prune281.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune14.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
0.0b	(* (sqrt (+ 1.0 x)) (/ (sqrt (+ 1.0 x)) (- 1.0 x)))
3.7b	(log (* (sqrt (+ 1.0 x)) (/ (sqrt (+ 1.0 x)) (- 1.0 x))))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
92×	`add-sqr-sqrt`
74×	`times-frac`
57×	`sqrt-prod`
45×	`add-cube-cbrt`
41×	`associate-r`
17×	`add-exp-log`
15×	`distribute-lft-out--` `difference-of-squares`
13×	`distribute-lft-out`
12×	`sqrt-div`
11×	`add-cbrt-cube`
10×	`pow1`
7×	`associate-l` `associate-/l*`
6×	`flip3-+` `flip-+` `unswap-sqr`
5×	`log-div` `associate-/r*`
4×	`frac-times` `associate-*l/` `prod-exp` `associate-/r/` `add-log-exp`
3×	`div-exp` `rem-log-exp`
2×	`cbrt-undiv` `flip3--` `associate-*r/` `pow-prod-down` `log-pow` `flip--` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`rem-sqrt-square` `log-prod` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `*-commutative`

Counts

4 → 169

Calls

4 calls:

15.0ms	(sqrt (+ 1.0 x))
32.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
98.0ms	(* (sqrt (+ 1.0 x)) (/ (sqrt (+ 1.0 x)) (- 1.0 x)))
57.0ms	(log (* (sqrt (+ 1.0 x)) (/ (sqrt (+ 1.0 x)) (- 1.0 x))))

series377.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt (+ 1.0 x))
144.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
54.0ms	(* (sqrt (+ 1.0 x)) (/ (sqrt (+ 1.0 x)) (- 1.0 x)))
145.0ms	(log (* (sqrt (+ 1.0 x)) (/ (sqrt (+ 1.0 x)) (- 1.0 x))))

simplify1.6s

Counts

181 → 181

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	232	2927
1	522	2490
2	1574	2299
done	5001	2251

prune469.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (* (sqrt (+ (pow 1.0 3) (pow x 3))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)))) (log (sqrt (+ (* x (- x 1.0)) (* 1.0 1.0)))))
0.0b	(* x (- x 1.0))
3.7b	(log (* (sqrt (+ (pow 1.0 3) (pow x 3))) (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
3.8b	(log (sqrt (+ (* x (- x 1.0)) (* 1.0 1.0))))

rewrite649.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
17×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`log-div` `log-prod`
13×	`add-exp-log`
12×	`sqrt-div` `log-pow`
10×	`add-cube-cbrt`
7×	`distribute-lft-out--`
6×	`flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+` `associate--r+`
5×	`associate--l-` `associate-r`
4×	`frac-times` `associate-r/` `rem-log-exp` `pow-prod-down` `associate-l/` `add-log-exp`
3×	`sub-neg` `associate-l` `prod-exp`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--` `associate--r-` `difference-of-squares`
1×	`sqrt-pow1` `pow1/2` `diff-log` `div-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

521.0ms	(- (log (* (sqrt (+ (pow 1.0 3) (pow x 3))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)))) (log (sqrt (+ (* x (- x 1.0)) (* 1.0 1.0)))))
46.0ms	(* x (- x 1.0))
63.0ms	(log (* (sqrt (+ (pow 1.0 3) (pow x 3))) (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
16.0ms	(log (sqrt (+ (* x (- x 1.0)) (* 1.0 1.0))))

series1.6s

Counts

4 → 12

Calls

4 calls:

1.1s	(- (log (* (sqrt (+ (pow 1.0 3) (pow x 3))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)))) (log (sqrt (+ (* x (- x 1.0)) (* 1.0 1.0)))))
63.0ms	(* x (- x 1.0))
301.0ms	(log (* (sqrt (+ (pow 1.0 3) (pow x 3))) (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
184.0ms	(log (sqrt (+ (* x (- x 1.0)) (* 1.0 1.0))))

simplify1.3s

Counts

108 → 108

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	254	2577
1	591	2391
2	1615	2221
done	5000	2186

prune663.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes50.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	20
1	18	20
done	18	20

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.2s	3404×	body	1280	valid
1.2s	2505×	body	640	valid
603.0ms	8037×	body	80	nan
436.0ms	1253×	body	320	valid
98.0ms	627×	body	160	valid
16.0ms	211×	body	80	valid