Details

sample84.0ms

Algorithm

intervals

Results

23.0ms	265×	body	80	valid
22.0ms	298×	body	80	nan

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	47	14
3	73	14
4	96	14
5	130	14
6	193	14
7	445	14
8	1118	14
9	4485	14
done	5001	14

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite111.0ms

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:

43.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
21.0ms	(/ y (* 3.0 (sqrt x)))
22.0ms	(* 3.0 (sqrt x))
18.0ms	(/ 1.0 (* x 9.0))

series389.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
154.0ms	(/ y (* 3.0 (sqrt x)))
98.0ms	(* 3.0 (sqrt x))
46.0ms	(/ 1.0 (* x 9.0))

simplify3.3s

Counts

122 → 122

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	242	1742
1	597	1483
2	2883	1190
done	5002	1146

prune732.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.4b	(/ (/ y 3.0) (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite472.0ms

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:

29.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
286.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
30.0ms	(/ (/ y 3.0) (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

series288.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
89.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
103.0ms	(/ (/ y 3.0) (sqrt x))
35.0ms	(/ 1.0 (* x 9.0))

simplify1.9s

Counts

652 → 652

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	932	34751
1	2469	31645
done	5001	25863

prune3.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.3b	(/ (sqrt x) (/ y 3.0))
0.5b	(/ 1.0 (* x 9.0))
0.5b	(/ (/ 1 1) (/ (sqrt x) (/ y 3.0)))

rewrite412.0ms

Algorithm

rewrite-expression-head

Rules

3836×	`times-frac`
1653×	`add-sqr-sqrt` `*-un-lft-identity`
1651×	`add-cube-cbrt`
588×	`sqrt-prod`
195×	`div-inv`
97×	`associate-/r*`
74×	`add-exp-log`
59×	`div-exp`
35×	`add-cbrt-cube`
22×	`associate-/l*`
21×	`prod-diff`
20×	`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`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 1393

Calls

4 calls:

28.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
22.0ms	(/ (sqrt x) (/ y 3.0))
16.0ms	(/ 1.0 (* x 9.0))
98.0ms	(/ (/ 1 1) (/ (sqrt x) (/ y 3.0)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
122.0ms	(/ (sqrt x) (/ y 3.0))
43.0ms	(/ 1.0 (* x 9.0))
90.0ms	(/ (/ 1 1) (/ (sqrt x) (/ y 3.0)))

simplify1.5s

Counts

1405 → 1405

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	1846	36491
done	5001	29984

prune7.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

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	(/ (/ 1.0 x) 9.0)
0.4b	(/ (/ y 3.0) (sqrt x))

rewrite923.0ms

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:

583.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
55.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
22.0ms	(/ (/ 1.0 x) 9.0)
27.0ms	(/ (/ y 3.0) (sqrt x))

series313.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
75.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
38.0ms	(/ (/ 1.0 x) 9.0)
109.0ms	(/ (/ y 3.0) (sqrt x))

simplify2.9s

Counts

1085 → 1085

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	1454	59763
1	3848	54906
done	5000	51393

prune7.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes281.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (4.0ms)

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

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.4s	8544×	body	80	nan
993.0ms	8498×	body	80	valid