Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	246×	body	80	nan
5.0ms	279×	body	80	valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	4
1	25	3
2	44	3
3	69	3
4	102	3
5	171	3
6	192	3
7	225	3
8	316	3
9	351	3
10	351	3
done	351	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.2b	(* y (sqrt x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`prod-diff`
7×	`add-log-exp`
6×	`associate-r`
5×	`fma-def`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `sum-log` `log1p-expm1-u` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 55

Calls

2 calls:

34.0ms	(+ (- 1.0 x) (* y (sqrt x)))
9.0ms	(* y (sqrt x))

series77.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (- 1.0 x) (* y (sqrt x)))
41.0ms	(* y (sqrt x))

simplify42.0ms

Counts

61 → 61

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	273	339
1	1115	252
2	5002	244
done	5002	244

prune145.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 96

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
12.0ms	(* y (sqrt (sqrt x)))
36.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(sqrt (sqrt x))
146.0ms	(sqrt (sqrt x))
77.0ms	(* y (sqrt (sqrt x)))
46.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify49.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	351	553
1	1519	488
2	5001	461
done	5001	461

prune229.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (pow x 1/4))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`sqrt-prod`
21×	`*-un-lft-identity`
19×	`add-exp-log` `add-cube-cbrt`
16×	`associate-r`
11×	`associate-+l+` `add-cbrt-cube`
10×	`prod-exp`
9×	`prod-diff` `add-log-exp`
8×	`pow1`
5×	`fma-def`
4×	`expm1-log1p-u` `sqrt-pow1` `associate-l` `cbrt-unprod` `log1p-expm1-u`
3×	`unpow-prod-down` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `flip-+` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 106

Calls

4 calls:

38.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
2.0ms	(sqrt (sqrt x))
12.0ms	(* y (sqrt (sqrt x)))
35.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/4))

series364.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (- 1.0 x) (* (* y (sqrt (sqrt x))) (pow x 1/4)))
133.0ms	(sqrt (sqrt x))
79.0ms	(* y (sqrt (sqrt x)))
82.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/4))

simplify82.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	586	817
1	2765	696
2	5002	690
done	5002	690

prune318.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (pow x 1/8))
0.3b	(* (* (* y (sqrt (sqrt x))) (pow x 1/8)) (pow x (/ 1/4 2)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
58×	`prod-exp`
23×	`associate-r`
22×	`add-sqr-sqrt` `sqrt-prod`
20×	`add-cbrt-cube`
15×	`pow-to-exp` `pow-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-unprod`
8×	`pow1`
6×	`unpow-prod-down`
5×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `sqr-pow`
1×	`pow-prod-down`

Counts

4 → 117

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
12.0ms	(* y (sqrt (sqrt x)))
32.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/8))
107.0ms	(* (* (* y (sqrt (sqrt x))) (pow x 1/8)) (pow x (/ 1/4 2)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(sqrt (sqrt x))
82.0ms	(* y (sqrt (sqrt x)))
105.0ms	(* (* y (sqrt (sqrt x))) (pow x 1/8))
81.0ms	(* (* (* y (sqrt (sqrt x))) (pow x 1/8)) (pow x (/ 1/4 2)))

simplify83.0ms

Counts

129 → 129

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	656	908
1	3130	803
2	5001	771
done	5001	771

prune295.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4
done	9	4

end0.0ms

sample662.0ms

Algorithm

intervals

Results

174.0ms	8550×	body	80	valid
153.0ms	8324×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid