Details

sample214.0ms

Algorithm

intervals

Results

87.0ms	792×	body	80	nan
19.0ms	32×	body	640	valid
17.0ms	178×	body	80	valid
8.0ms	25×	body	320	valid
5.0ms	6×	body	1280	valid
3.0ms	16×	body	160	valid

simplify474.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	618
7	187
6	90
5	59
4	44
3	38
2	30
1	21
0	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (log y)) t)
0.0b	(* (log (- 1.0 y)) z)
0.3b	(* x (log y))
5.3b	(log (- 1.0 y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`log-prod`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `add-log-exp`
3×	`log-pow`
2×	`log-div` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`sub-neg` `diff-log` `rem-log-exp` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

13.0ms	(- (* x (log y)) t)
13.0ms	(* (log (- 1.0 y)) z)
13.0ms	(* x (log y))
13.0ms	(log (- 1.0 y))

series275.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- (* x (log y)) t)
94.0ms	(* (log (- 1.0 y)) z)
47.0ms	(* x (log y))
46.0ms	(log (- 1.0 y))

simplify607.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1262
1	409
0	187

prune602.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (log y)) t)
0.0b	(+ (* (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) z) (- (* x (log y)) t))
0.0b	(* (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) z)
0.3b	(* x (log y))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

48×	`associate-*l/`
21×	`flip3--` `flip--`
18×	`add-sqr-sqrt` `log-prod` `frac-sub`
16×	`frac-add`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`associate--l+`
11×	`add-log-exp`
9×	`distribute-rgt-in` `pow1` `distribute-lft-in`
8×	`associate-+r+` `add-cbrt-cube` `add-exp-log`
7×	`associate-r`
6×	`frac-times` `associate-l` `associate-*r/`
2×	`sum-log` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `flip3-+` `log-pow` `flip-+`

Counts

4 → 106

Calls

4 calls:

14.0ms	(- (* x (log y)) t)
108.0ms	(+ (* (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) z) (- (* x (log y)) t))
133.0ms	(* (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) z)
7.0ms	(* x (log y))

series441.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* x (log y)) t)
195.0ms	(+ (* (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) z) (- (* x (log y)) t))
115.0ms	(* (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) z)
50.0ms	(* x (log y))

simplify1.7s

Counts

118 → 118

Iterations

Iter	Nodes
done	5001
2	3791
1	877
0	278

prune854.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.2b	(* x (* 2 (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

15.0ms	(* x (log (cbrt y)))
18.0ms	(* x (* 2 (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series874.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* x (log (cbrt y)))
158.0ms	(* x (* 2 (log (cbrt y))))
307.0ms	(cbrt y)
244.0ms	(cbrt y)

simplify937.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1408
1	394
0	155

prune809.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt (cbrt y))
0.7b	(cbrt (cbrt y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))

series1.4s

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt y)
273.0ms	(cbrt y)
457.0ms	(cbrt (cbrt y))
397.0ms	(cbrt (cbrt y))

simplify1.7s

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
4	2492
3	642
2	187
1	77
0	42

prune660.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

regimes631.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	41
1	41
0	29

end0.0ms

sample7.0s

Algorithm

intervals

Results

3.2s	23933×	body	80	nan
600.0ms	5548×	body	80	valid
558.0ms	860×	body	640	valid
364.0ms	385×	body	1280	valid
276.0ms	743×	body	320	valid
89.0ms	492×	body	160	valid