Details

sample75.0ms

Algorithm

intervals

Results

20.0ms	334×	body	80	nan
18.0ms	285×	body	80	valid

simplify138.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	146
7	146
6	134
5	121
4	104
3	71
2	47
1	21
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.2b	(* y (sqrt z))
0.4b	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))

rewrite33.0ms

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:

4.0ms	(+ x (* y (sqrt z)))
8.0ms	(* y (sqrt z))
19.0ms	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))

series144.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ x (* y (sqrt z)))
51.0ms	(* y (sqrt z))
53.0ms	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))

simplify1.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5002
2	2179
1	504
0	157

prune521.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
0.4b	(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))

rewrite80.0ms

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:

3.0ms	(sqrt (sqrt z))
20.0ms	(* y (sqrt (sqrt z)))
29.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
23.0ms	(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))

series388.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(sqrt (sqrt z))
102.0ms	(* y (sqrt (sqrt z)))
80.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
56.0ms	(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))

simplify2.0s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	3518
1	693
0	222

prune601.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (sqrt z) y))
0.2b	(* (sqrt z) y)
0.2b	(/ (cbrt 1.0) (/ 2.0 (+ x (* (sqrt z) y))))
0.5b	(/ 2.0 (+ x (* (sqrt z) y)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
100×	`add-sqr-sqrt`
96×	`*-un-lft-identity` `add-cube-cbrt`
48×	`cbrt-prod`
18×	`associate-/r*`
17×	`associate-/r/`
13×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
6×	`pow1` `associate-l` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `sqrt-prod`
3×	`associate-r`
2×	`clear-num` `frac-2neg` `unswap-sqr`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 188

Calls

4 calls:

7.0ms	(+ x (* (sqrt z) y))
12.0ms	(* (sqrt z) y)
19.0ms	(/ (cbrt 1.0) (/ 2.0 (+ x (* (sqrt z) y))))
14.0ms	(/ 2.0 (+ x (* (sqrt z) y)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ x (* (sqrt z) y))
54.0ms	(* (sqrt z) y)
117.0ms	(/ (cbrt 1.0) (/ 2.0 (+ x (* (sqrt z) y))))
83.0ms	(/ 2.0 (+ x (* (sqrt z) y)))

simplify1.6s

Counts

200 → 200

Iterations

Iter	Nodes
done	5000
2	4293
1	809
0	320

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.5b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
0.4b	(* (/ 1.0 2.0) (+ x (* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

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

series893.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
175.0ms	(* (/ 1.0 2.0) (+ x (* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))))
240.0ms	(cbrt z)
308.0ms	(cbrt z)

simplify1.8s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	2812
1	549
0	176

prune677.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.5b

regimes484.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

538.0ms	8531×	body	80	nan
528.0ms	8578×	body	80	valid