Details

sample73.0ms

Algorithm

intervals

Results

23.0ms	272×	body	80	valid
22.0ms	296×	body	80	nan

simplify181.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

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))

rewrite95.0ms

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:

34.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
20.0ms	(/ y (* 3.0 (sqrt x)))
21.0ms	(* 3.0 (sqrt x))
17.0ms	(/ 1.0 (* x 9.0))

series228.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
110.0ms	(/ y (* 3.0 (sqrt x)))
46.0ms	(* 3.0 (sqrt x))
19.0ms	(/ 1.0 (* x 9.0))

simplify1.7s

Counts

122 → 122

Iterations

Useful iterations: done (1.7s)

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

prune451.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite429.0ms

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:

264.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
29.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
35.0ms	(/ (/ y 3.0) (sqrt x))
10.0ms	(/ 1.0 (* x 9.0))

series231.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
65.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
62.0ms	(/ (/ y 3.0) (sqrt x))
24.0ms	(/ 1.0 (* x 9.0))

simplify1.6s

Counts

652 → 652

Iterations

Useful iterations: done (1.5s)

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

prune2.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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

rewrite721.0ms

Algorithm

rewrite-expression-head

Rules

1794×	`times-frac`
1758×	`add-sqr-sqrt`
1159×	`*-un-lft-identity`
986×	`add-cube-cbrt`
832×	`prod-diff`
317×	`sqrt-prod`
257×	`difference-of-squares`
131×	`associate--l+`
87×	`distribute-lft-out--`
86×	`div-inv`
26×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
10×	`fma-neg`
9×	`associate-/r*`
6×	`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` `associate-/l/`
1×	`associate--l-`

Counts

4 → 1073

Calls

4 calls:

421.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
54.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
23.0ms	(/ (/ 1.0 x) 9.0)
30.0ms	(/ (/ y 3.0) (sqrt x))

series235.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
65.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
26.0ms	(/ (/ 1.0 x) 9.0)
86.0ms	(/ (/ y 3.0) (sqrt x))

simplify2.3s

Counts

1085 → 1085

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	1454	59763
1	3584	54843
done	5000	50960

prune4.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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)))

rewrite378.0ms

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:

37.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
13.0ms	(/ (/ 1.0 x) 9.0)
22.0ms	(/ (sqrt x) (/ y 3.0))
81.0ms	(/ (/ 1 1) (/ (sqrt x) (/ y 3.0)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
26.0ms	(/ (/ 1.0 x) 9.0)
98.0ms	(/ (sqrt x) (/ y 3.0))
83.0ms	(/ (/ 1 1) (/ (sqrt x) (/ y 3.0)))

simplify1.6s

Counts

1564 → 1564

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	2194	43699
done	5000	36000

prune5.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes68.0ms

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 (3.0ms)

Iter	Nodes	Cost
0	15	18
1	17	16
done	17	16

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	8576×	body	80	nan
711.0ms	8533×	body	80	valid