Details

sample67.0ms

Algorithm

intervals

Results

23.0ms	278×	body	80	nan
23.0ms	271×	body	80	valid

simplify152.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	173
8	173
7	167
6	140
5	126
4	101
3	80
2	51
1	21
0	10

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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)

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(fma y (sqrt z) x)

simplify2.0s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
5	2811
4	733
3	238
2	105
1	49
0	26

prune90.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `add-log-exp`
3×	`fma-def` `associate-l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 42

Calls

2 calls:

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

series88.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ x (* y (sqrt z)))
49.0ms	(* y (sqrt z))

simplify2.9s

Counts

48 → 48

Iterations

Iter	Nodes
done	5004
3	2342
2	737
1	242
0	92

prune176.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.4b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite44.0ms

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:

3.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
9.0ms	(* y (sqrt (sqrt z)))
28.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series557.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(sqrt (sqrt z))
191.0ms	(sqrt (sqrt z))
109.0ms	(* y (sqrt (sqrt z)))
58.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.2s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1250
1	371
0	141

prune556.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ 1 z) -1/4)
0.1b	(sqrt (sqrt z))
0.3b	(* y (pow (/ 1 z) -1/4))
0.4b	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
38×	`add-sqr-sqrt`
29×	`unpow-prod-down`
27×	`*-un-lft-identity`
26×	`associate-r` `add-cube-cbrt`
20×	`times-frac`
19×	`prod-exp` `sqrt-prod`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `sqrt-pow1` `associate-l` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv`
1×	`pow-prod-down` `pow-flip` `inv-pow`

Counts

4 → 131

Calls

4 calls:

7.0ms	(pow (/ 1 z) -1/4)
7.0ms	(sqrt (sqrt z))
22.0ms	(* y (pow (/ 1 z) -1/4))
41.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(pow (/ 1 z) -1/4)
164.0ms	(sqrt (sqrt z))
72.0ms	(* y (pow (/ 1 z) -1/4))
123.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

simplify1.5s

Counts

143 → 143

Iterations

Iter	Nodes
done	5002
2	2098
1	662
0	247

prune657.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes231.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end1.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	8512×	body	80	valid
836.0ms	8514×	body	80	nan