Details

sample66.0ms

Algorithm

intervals

Results

17.0ms	324×	body	80	nan
15.0ms	265×	body	80	valid

simplify235.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

4.0ms	(+ x (* y (sqrt z)))
8.0ms	(* y (sqrt z))

series138.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ x (* y (sqrt z)))
83.0ms	(* y (sqrt z))

simplify2.4s

Counts

46 → 46

Iterations

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

prune274.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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

Counts

2 → 38

Calls

2 calls:

13.0ms	(+ (* y (sqrt z)) x)
15.0ms	(* y (sqrt z))

series129.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* y (sqrt z)) x)
75.0ms	(* y (sqrt z))

simplify2.1s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
3	4240
2	810
1	244
0	91

prune247.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite49.0ms

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))
2.0ms	(sqrt (sqrt z))
10.0ms	(* y (sqrt (sqrt z)))
32.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

228.0ms	(sqrt (sqrt z))
609.0ms	(sqrt (sqrt z))
95.0ms	(* y (sqrt (sqrt z)))
74.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.0s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	1722
1	368
0	138

prune556.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

58×	`sqrt-prod`
33×	`associate-r`
26×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
18×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 110

Calls

4 calls:

3.0ms	(sqrt (sqrt z))
146.0ms	(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
16.0ms	(* y (sqrt (sqrt z)))
31.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

series542.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(sqrt (sqrt z))
52.0ms	(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
101.0ms	(* y (sqrt (sqrt z)))
173.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

simplify2.0s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	2975
1	525
0	188

prune617.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes431.0ms

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	13
1	13
0	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

554.0ms	8566×	body	80	nan
542.0ms	8527×	body	80	valid