Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	269×	body	80	valid
11.0ms	269×	body	80	nan

simplify189.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	180
8	180
7	178
6	160
5	142
4	123
3	85
2	51
1	21
0	10

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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

Counts

2 → 40

Calls

2 calls:

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

series112.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ x (* y (sqrt z)))
63.0ms	(* y (sqrt z))

simplify2.1s

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
3	4407
2	824
1	240
0	90

prune289.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
6×	`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` `log1p-expm1-u` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

2 → 41

Calls

2 calls:

7.0ms	(+ x (* 1 (* y (sqrt z))))
12.0ms	(* y (sqrt z))

series101.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ x (* 1 (* y (sqrt z))))
51.0ms	(* y (sqrt z))

simplify963.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5002
2	1274
1	262
0	94

prune271.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma y (sqrt z) x)

series71.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(fma y (sqrt z) x)

simplify662.0ms

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	1133
3	256
2	105
1	48
0	25

prune110.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite60.0ms

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` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 96

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
5.0ms	(sqrt (sqrt z))
10.0ms	(* y (sqrt (sqrt z)))
40.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(sqrt (sqrt z))
186.0ms	(sqrt (sqrt z))
95.0ms	(* y (sqrt (sqrt z)))
44.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify862.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	1722
1	368
0	138

prune501.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes393.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
2	19
1	18
0	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

786.0ms	8452×	body	80	nan
407.0ms	8521×	body	80	valid