Details

sample40.0ms

Algorithm

intervals

Results

9.0ms	274×	body	80	valid
9.0ms	275×	body	80	nan

simplify220.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	51	9
3	85	9
4	121	9
5	140	9
6	157	9
7	173	9
8	175	9
done	175	9

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 40

Calls

2 calls:

9.0ms	(+ x (* y (sqrt z)))
24.0ms	(* y (sqrt z))

series112.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ x (* y (sqrt z)))
60.0ms	(* y (sqrt z))

simplify2.7s

Counts

46 → 46

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	90	386
1	232	346
2	601	309
3	1606	300
done	5001	295

prune125.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* 1 (* y (sqrt z))))
0.2b	(* y (sqrt z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
6×	`add-cube-cbrt` `associate-r`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

2 → 41

Calls

2 calls:

7.0ms	(+ x (* 1 (* y (sqrt z))))
10.0ms	(* y (sqrt z))

series102.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ x (* 1 (* y (sqrt z))))
60.0ms	(* y (sqrt z))

simplify3.1s

Counts

47 → 47

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	94	432
1	245	352
2	666	314
3	1918	305
done	5001	300

prune161.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite94.0ms

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×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 96

Calls

4 calls:

4.0ms	(sqrt (sqrt z))
4.0ms	(sqrt (sqrt z))
20.0ms	(* y (sqrt (sqrt z)))
62.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(sqrt (sqrt z))
161.0ms	(sqrt (sqrt z))
101.0ms	(* y (sqrt (sqrt z)))
64.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify3.0s

Counts

108 → 108

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	138	963
1	354	754
2	1001	688
3	2818	672
done	5001	664

prune372.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`add-exp-log` `sqrt-prod`
16×	`associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `sqrt-pow1` `associate-l` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `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 → 91

Calls

4 calls:

12.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
5.0ms	(sqrt (sqrt z))
16.0ms	(* y (pow z 1/4))
34.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
219.0ms	(sqrt (sqrt z))
83.0ms	(* y (pow z 1/4))
89.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify1.2s

Counts

103 → 103

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	191	1149
1	501	1014
2	1586	926
done	5000	882

prune391.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes221.0ms

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: 1 (2.0ms)

Iter	Nodes	Cost
0	12	12
1	18	10
done	18	10

end0.0ms

sample2.0s

Algorithm

intervals

Results

828.0ms	8199×	body	80	nan
477.0ms	8508×	body	80	valid