Details

sample57.0ms

Algorithm

intervals

Results

15.0ms	272×	body	80	valid
15.0ms	296×	body	80	nan

simplify156.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	47	14
3	71	14
4	83	14
5	90	14
6	105	14
7	125	14
8	136	14
done	136	14

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ y (* 3.0 (sqrt x)))
0.2b	(* 3.0 (sqrt x))
0.3b	(/ 1.0 (* x 9.0))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
21×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
6×	`pow1` `associate-r` `associate-/l*` `add-log-exp`
5×	`div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `sqrt-prod` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r*` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 110

Calls

4 calls:

25.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
13.0ms	(/ y (* 3.0 (sqrt x)))
12.0ms	(* 3.0 (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series170.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
63.0ms	(/ y (* 3.0 (sqrt x)))
38.0ms	(* 3.0 (sqrt x))
23.0ms	(/ 1.0 (* x 9.0))

simplify1.5s

Counts

122 → 122

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	242	1742
1	567	1480
2	1625	1157
done	5000	1000

prune399.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.3b	(/ (/ y 3.0) (sqrt x))
0.3b	(/ 1.0 (* x 9.0))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

828×	`times-frac`
722×	`add-sqr-sqrt`
711×	`*-un-lft-identity`
538×	`add-cube-cbrt`
452×	`prod-diff`
239×	`sqrt-prod`
89×	`difference-of-squares`
87×	`distribute-lft-out--`
50×	`div-inv`
23×	`associate--l+`
16×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
8×	`fma-neg`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `clear-num` `frac-sub`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 640

Calls

4 calls:

167.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
15.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
17.0ms	(/ (/ y 3.0) (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series166.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
36.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
61.0ms	(/ (/ y 3.0) (sqrt x))
18.0ms	(/ 1.0 (* x 9.0))

simplify1.3s

Counts

652 → 652

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	932	34751
1	2334	31614
done	5001	24915

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1 (- 1.0 (/ (/ 1.0 x) 9.0))) (/ (/ y 3.0) (sqrt x)))
0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b	(/ (/ 1.0 x) 9.0)
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

945×	`times-frac`
646×	`add-sqr-sqrt`
640×	`*-un-lft-identity`
637×	`add-cube-cbrt`
469×	`prod-diff`
262×	`associate--l+`
131×	`distribute-rgt-in` `distribute-lft-in`
81×	`sqrt-prod`
56×	`div-inv`
26×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r*`
8×	`add-log-exp`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`frac-2neg` `diff-log` `associate-*r/` `clear-num` `frac-sub` `associate-/l/` `distribute-lft-out--`

Counts

4 → 698

Calls

4 calls:

112.0ms	(- (* 1 (- 1.0 (/ (/ 1.0 x) 9.0))) (/ (/ y 3.0) (sqrt x)))
34.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
12.0ms	(/ (/ 1.0 x) 9.0)
20.0ms	(/ (/ y 3.0) (sqrt x))

series200.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (* 1 (- 1.0 (/ (/ 1.0 x) 9.0))) (/ (/ y 3.0) (sqrt x)))
34.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
18.0ms	(/ (/ 1.0 x) 9.0)
79.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.9s

Counts

710 → 710

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	1239	27390
1	3112	24492
done	5000	20186

prune3.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b	(/ (/ 1.0 x) 9.0)
0.2b	(/ (sqrt x) (/ y 3.0))
0.9b	(/ (/ 1 1) (/ (sqrt x) (/ y 3.0)))

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

4100×	`times-frac`
1835×	`add-sqr-sqrt`
1828×	`*-un-lft-identity`
1826×	`add-cube-cbrt`
588×	`sqrt-prod`
208×	`div-inv`
129×	`prod-diff`
99×	`associate-/r*`
74×	`add-exp-log`
60×	`div-exp`
35×	`add-cbrt-cube`
32×	`associate-/l*`
21×	`cbrt-undiv`
16×	`associate-/r/`
15×	`1-exp`
6×	`rec-exp` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `clear-num` `difference-of-squares`
2×	`associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 1552

Calls

4 calls:

36.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
12.0ms	(/ (/ 1.0 x) 9.0)
16.0ms	(/ (sqrt x) (/ y 3.0))
60.0ms	(/ (/ 1 1) (/ (sqrt x) (/ y 3.0)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
18.0ms	(/ (/ 1.0 x) 9.0)
80.0ms	(/ (sqrt x) (/ y 3.0))
98.0ms	(/ (/ 1 1) (/ (sqrt x) (/ y 3.0)))

simplify1.2s

Counts

1564 → 1564

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	2194	43699
done	5000	36000

prune5.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	16	20
1	19	16
done	19	16

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	8533×	body	80	valid
631.0ms	8576×	body	80	nan