Details

sample63.0ms

Algorithm

intervals

Results

22.0ms	293×	body	80	nan
20.0ms	273×	body	80	valid

simplify289.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	177
8	177
7	175
6	159
5	142
4	123
3	85
2	51
1	21
0	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (sqrt z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

(fma y (sqrt z) x)

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(fma y (sqrt z) x)

simplify2.5s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
5	2898
4	793
3	246
2	107
1	49
0	26

prune95.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 40

Calls

2 calls:

9.0ms	(+ (* y (sqrt z)) x)
11.0ms	(* y (sqrt z))

series132.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(+ (* y (sqrt z)) x)
60.0ms	(* y (sqrt z))

simplify3.5s

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
3	2722
2	792
1	246
0	93

prune339.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (sqrt z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(fma y (sqrt z) x)

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(fma y (sqrt z) x)

simplify2.5s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
5	2898
4	793
3	246
2	107
1	49
0	26

prune142.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

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)))

rewrite93.0ms

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×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 100

Calls

4 calls:

4.0ms	(sqrt (sqrt z))
4.0ms	(sqrt (sqrt z))
21.0ms	(* y (sqrt (sqrt z)))
61.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series619.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(sqrt (sqrt z))
199.0ms	(sqrt (sqrt z))
88.0ms	(* y (sqrt (sqrt z)))
83.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.6s

Counts

112 → 112

Iterations

Iter	Nodes
done	5004
2	1356
1	371
0	141

prune646.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes426.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample2.8s

Algorithm

intervals

Results

913.0ms	8532×	body	80	valid
829.0ms	8203×	body	80	nan