Details

sample75.0ms

Algorithm

intervals

Results

17.0ms	271×	body	80	valid
16.0ms	271×	body	80	nan

simplify160.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	119
8	119
7	117
6	113
5	102
4	86
3	66
2	47
1	21
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.2b	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
0.2b	(* y (sqrt z))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac` `add-cbrt-cube` `add-exp-log`
9×	`associate-r`
7×	`pow1`
5×	`add-log-exp`
4×	`sqrt-prod` `unswap-sqr`
3×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
2×	`frac-times` `pow-prod-down` `associate-r/` `-commutative`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `sum-log` `distribute-lft-in` `div-exp` `associate-*l/` `div-inv`

Counts

3 → 71

Calls

3 calls:

8.0ms	(+ x (* y (sqrt z)))
41.0ms	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
9.0ms	(* y (sqrt z))

series173.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ x (* y (sqrt z)))
63.0ms	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
49.0ms	(* y (sqrt z))

simplify1.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5002
2	1831
1	503
0	157

prune438.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.2b	(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
31×	`sqrt-prod`
21×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
17×	`associate-l`
16×	`add-cbrt-cube` `add-exp-log`
15×	`pow1`
10×	`times-frac`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative`
2×	`frac-times` `rem-sqrt-square` `flip3-+` `pow1/2` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 107

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
18.0ms	(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
10.0ms	(* y (sqrt (sqrt z)))
31.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series489.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(sqrt (sqrt z))
78.0ms	(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
124.0ms	(* y (sqrt (sqrt z)))
61.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.8s

Counts

119 → 119

Iterations

Iter	Nodes
done	5010
2	2554
1	691
0	222

prune549.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1.0 2.0) (+ x (* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))))
0.2b	(* y (sqrt (sqrt (sqrt z))))
0.3b	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

51×	`sqrt-prod`
37×	`add-sqr-sqrt`
36×	`associate-r`
25×	`add-cbrt-cube` `add-exp-log`
24×	`*-un-lft-identity` `add-cube-cbrt`
22×	`pow1`
18×	`associate-l`
12×	`prod-exp` `cbrt-unprod`
11×	`pow-prod-down`
10×	`times-frac`
6×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
2×	`frac-times` `flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 122

Calls

4 calls:

37.0ms	(* (/ 1.0 2.0) (+ x (* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))))
14.0ms	(* y (sqrt (sqrt (sqrt z))))
146.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))
73.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

series380.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (/ 1.0 2.0) (+ x (* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))))
123.0ms	(* y (sqrt (sqrt (sqrt z))))
52.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))
136.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

simplify2.2s

Counts

134 → 134

Iterations

Iter	Nodes
done	5006
2	3028
1	778
0	248

prune734.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.3b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1.0 2.0) (+ x (* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
0.4b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

48×	`sqrt-prod`
36×	`associate-r`
35×	`add-sqr-sqrt`
25×	`add-cbrt-cube` `add-exp-log`
24×	`*-un-lft-identity` `add-cube-cbrt`
22×	`pow1`
18×	`associate-l`
12×	`prod-exp` `cbrt-unprod`
11×	`pow-prod-down`
10×	`times-frac`
5×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
2×	`frac-times` `flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 121

Calls

4 calls:

32.0ms	(* (/ 1.0 2.0) (+ x (* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))))
11.0ms	(* y (sqrt (sqrt z)))
154.0ms	(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
41.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

series418.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (/ 1.0 2.0) (+ x (* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))))
127.0ms	(* y (sqrt (sqrt z)))
71.0ms	(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
149.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

simplify2.5s

Counts

133 → 133

Iterations

Iter	Nodes
done	5004
2	3062
1	790
0	248

prune771.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes559.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	8495×	body	80	nan
490.0ms	8533×	body	80	valid