Details

sample80.0ms

Algorithm

intervals

Results

30.0ms	216×	body	80	nan
28.0ms	268×	body	80	valid

simplify136.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.3b	(* y (sqrt z))

rewrite16.0ms

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:

8.0ms	(+ x (* y (sqrt z)))
7.0ms	(* y (sqrt z))

series99.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ x (* y (sqrt z)))
51.0ms	(* y (sqrt z))

simplify3.0s

Counts

48 → 48

Iterations

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

prune243.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite66.0ms

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:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
10.0ms	(* y (sqrt (sqrt z)))
50.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series646.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(sqrt (sqrt z))
208.0ms	(sqrt (sqrt z))
136.0ms	(* y (sqrt (sqrt z)))
80.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.2s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1250
1	371
0	141

prune543.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

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)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`add-exp-log` `sqrt-prod`
16×	`associate-r`
13×	`*-un-lft-identity` `add-cube-cbrt`
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` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `flip-+`

Counts

4 → 95

Calls

4 calls:

12.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
4.0ms	(sqrt (sqrt z))
18.0ms	(* y (pow z 1/4))
37.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series601.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
238.0ms	(sqrt (sqrt z))
102.0ms	(* y (pow z 1/4))
163.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify2.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1771
1	515
0	196

prune673.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `add-exp-log` `sqrt-prod`
16×	`associate-r`
12×	`*-un-lft-identity` `add-cube-cbrt`
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` `insert-posit16` `log1p-expm1-u`
3×	`unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `pow-prod-down` `flip-+`

Counts

4 → 93

Calls

4 calls:

46.0ms	(+ (* (* y (pow z 1/4)) (sqrt (sqrt z))) x)
4.0ms	(sqrt (sqrt z))
18.0ms	(* y (pow z 1/4))
44.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series653.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(+ (* (* y (pow z 1/4)) (sqrt (sqrt z))) x)
258.0ms	(sqrt (sqrt z))
99.0ms	(* y (pow z 1/4))
140.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify2.0s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	1869
1	519
0	197

prune610.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes599.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.4s	8519×	body	80	valid
794.0ms	8489×	body	80	nan