Details

sample62.0ms

Algorithm

intervals

Results

15.0ms	266×	body	80	valid
13.0ms	236×	body	80	nan

simplify163.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	47	10
3	71	10
4	103	10
5	120	10
6	133	10
7	143	10
done	143	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.3b	(* y (sqrt z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 33

Calls

2 calls:

6.0ms	(+ x (* y (sqrt z)))
11.0ms	(* y (sqrt z))

series96.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* y (sqrt z)))
61.0ms	(* y (sqrt z))

simplify5.0s

Counts

39 → 39

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	86	362
1	220	323
2	552	297
3	1330	288
4	3985	283
done	5000	283

prune148.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite85.0ms

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×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
13.0ms	(* y (sqrt (sqrt z)))
63.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series663.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(sqrt (sqrt z))
221.0ms	(sqrt (sqrt z))
137.0ms	(* y (sqrt (sqrt z)))
82.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify3.0s

Counts

100 → 100

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	132	915
1	339	716
2	963	650
3	2584	634
done	5000	618

prune328.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
0.1b	(sqrt (sqrt z))
0.2b	(* (pow z 1/4) y)
0.3b	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-sqr-sqrt` `sqrt-prod`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1` `associate-l`
6×	`add-log-exp`
4×	`unpow-prod-down` `sqrt-pow1` `cbrt-unprod`
3×	`unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `flip-+`

Counts

4 → 80

Calls

4 calls:

6.0ms	(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
2.0ms	(sqrt (sqrt z))
12.0ms	(* (pow z 1/4) y)
49.0ms	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

series601.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
213.0ms	(sqrt (sqrt z))
139.0ms	(* (pow z 1/4) y)
143.0ms	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

simplify1.6s

Counts

92 → 92

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	180	1080
1	475	950
2	1553	882
done	5000	830

prune469.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (pow z 1/4) y) (pow (/ 1 z) -1/4)))
0.1b	(pow (/ 1 z) -1/4)
0.2b	(* (pow z 1/4) y)
0.3b	(* (* (pow z 1/4) y) (pow (/ 1 z) -1/4))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
45×	`prod-exp`
30×	`unpow-prod-down`
28×	`add-sqr-sqrt`
27×	`pow-exp`
23×	`add-cube-cbrt` `*-un-lft-identity`
20×	`associate-r`
18×	`times-frac`
12×	`pow-to-exp`
11×	`add-cbrt-cube`
10×	`div-exp`
8×	`associate-l`
6×	`pow1` `add-log-exp`
5×	`rec-exp` `1-exp`
4×	`cbrt-unprod` `sqr-pow`
3×	`pow-unpow` `pow-pow` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 120

Calls

4 calls:

15.0ms	(+ x (* (* (pow z 1/4) y) (pow (/ 1 z) -1/4)))
8.0ms	(pow (/ 1 z) -1/4)
12.0ms	(* (pow z 1/4) y)
59.0ms	(* (* (pow z 1/4) y) (pow (/ 1 z) -1/4))

series559.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ x (* (* (pow z 1/4) y) (pow (/ 1 z) -1/4)))
285.0ms	(pow (/ 1 z) -1/4)
122.0ms	(* (pow z 1/4) y)
99.0ms	(* (* (pow z 1/4) y) (pow (/ 1 z) -1/4))

simplify1.5s

Counts

132 → 132

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	221	1650
1	538	1409
2	1484	1301
done	5000	1238

prune335.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes259.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	13	10
done	13	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

550.0ms	8437×	body	80	nan
477.0ms	8528×	body	80	valid