Details

sample87.0ms

Algorithm

intervals

Results

32.0ms	293×	body	80	nan
30.0ms	273×	body	80	valid

simplify152.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.2b	(* y (sqrt z))

rewrite12.0ms

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:

5.0ms	(+ x (* y (sqrt z)))
7.0ms	(* y (sqrt z))

series110.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ x (* y (sqrt z)))
71.0ms	(* y (sqrt z))

simplify1.9s

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
3	2032
2	690
1	229
0	88

prune189.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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)))

rewrite51.0ms

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:

1.0ms	(sqrt (sqrt z))
1.0ms	(sqrt (sqrt z))
9.0ms	(* y (sqrt (sqrt z)))
38.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series511.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(sqrt (sqrt z))
202.0ms	(sqrt (sqrt z))
92.0ms	(* y (sqrt (sqrt z)))
56.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.8s

Counts

104 → 104

Iterations

Iter	Nodes
done	5004
3	4986
2	1174
1	355
0	135

prune428.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (sqrt z) (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (cbrt (* (sqrt z) (sqrt (sqrt z)))))
0.6b	(cbrt (* (sqrt z) (sqrt (sqrt z))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
35×	`sqrt-prod`
22×	`pow1` `associate-r`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-exp-log`
11×	`sqrt-pow1` `add-cbrt-cube`
10×	`associate-l`
9×	`unswap-sqr`
7×	`pow1/2` `pow-prod-down`
6×	`pow-prod-up`
5×	`prod-exp` `cbrt-unprod`
4×	`pow3` `insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-prod` `rem-cbrt-cube`
1×	`pow1/3` `sqrt-unprod`

Counts

4 → 103

Calls

4 calls:

13.0ms	(* y (sqrt (sqrt z)))
21.0ms	(* (sqrt z) (sqrt (sqrt z)))
29.0ms	(* (* y (sqrt (sqrt z))) (cbrt (* (sqrt z) (sqrt (sqrt z)))))
10.0ms	(cbrt (* (sqrt z) (sqrt (sqrt z))))

series709.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* y (sqrt (sqrt z)))
297.0ms	(* (sqrt z) (sqrt (sqrt z)))
69.0ms	(* (* y (sqrt (sqrt z))) (cbrt (* (sqrt z) (sqrt (sqrt z)))))
202.0ms	(cbrt (* (sqrt z) (sqrt (sqrt z))))

simplify3.0s

Counts

115 → 115

Iterations

Iter	Nodes
done	5031
3	4450
2	1394
1	439
0	171

prune564.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt z)) y)
0.3b	(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
11×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`cbrt-prod`
6×	`sqrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 68

Calls

4 calls:

6.0ms	(* (fabs (cbrt z)) y)
17.0ms	(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (fabs (cbrt z)) y)
185.0ms	(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
665.0ms	(cbrt z)
297.0ms	(cbrt z)

simplify1.8s

Counts

80 → 80

Iterations

Iter	Nodes
done	5002
3	1876
2	637
1	225
0	100

prune401.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes472.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.3s

Algorithm

intervals

Results

884.0ms	8532×	body	80	valid
817.0ms	8203×	body	80	nan