Details

sample78.0ms

Algorithm

intervals

Results

16.0ms	276×	body	80	valid
15.0ms	262×	body	80	nan

simplify464.0ms

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `add-log-exp`
3×	`associate-l`
2×	`insert-posit16` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 35

Calls

2 calls:

8.0ms	(+ x (* y (sqrt z)))
13.0ms	(* y (sqrt z))

series113.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ x (* y (sqrt z)))
56.0ms	(* y (sqrt z))

simplify4.2s

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
3	1944
2	680
1	230
0	88

prune539.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 92

Calls

4 calls:

7.0ms	(sqrt (sqrt z))
7.0ms	(sqrt (sqrt z))
34.0ms	(* y (sqrt (sqrt z)))
95.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series741.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(sqrt (sqrt z))
246.0ms	(sqrt (sqrt z))
177.0ms	(* y (sqrt (sqrt z)))
77.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify3.1s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1181
1	354
0	135

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-prod`
20×	`add-sqr-sqrt`
19×	`add-exp-log`
16×	`associate-r`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1`
6×	`add-log-exp`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `insert-posit16`
3×	`unpow-prod-down` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `flip-+` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

17.0ms	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
7.0ms	(sqrt (sqrt z))
37.0ms	(* y (sqrt (sqrt z)))
66.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

series672.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
231.0ms	(sqrt (sqrt z))
152.0ms	(* y (sqrt (sqrt z)))
184.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify3.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1866
1	531
0	198

prune1.3s

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) (sqrt (sqrt z))))
0.1b	(sqrt (sqrt z))
0.3b	(* (pow z 1/4) y)
0.3b	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `add-exp-log` `sqrt-prod`
12×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1` `associate-l`
6×	`add-log-exp`
4×	`unpow-prod-down` `sqrt-pow1` `cbrt-unprod` `insert-posit16`
3×	`unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `flip-+`

Counts

4 → 84

Calls

4 calls:

17.0ms	(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
7.0ms	(sqrt (sqrt z))
39.0ms	(* (pow z 1/4) y)
73.0ms	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

series777.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
209.0ms	(sqrt (sqrt z))
203.0ms	(* (pow z 1/4) y)
225.0ms	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

simplify3.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1667
1	488
0	185

prune1.3s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes1.9s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.0s

Algorithm

intervals

Results

430.0ms	8480×	body	80	nan
429.0ms	8541×	body	80	valid