Details

sample70.0ms

Algorithm

intervals

Results

26.0ms	267×	body	80	valid
14.0ms	245×	body	80	nan

simplify181.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	51	9
3	85	9
4	123	9
5	142	9
6	159	9
7	177	9
8	179	9
done	179	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

6.0ms	(+ x (* y (sqrt z)))
11.0ms	(* y (sqrt z))

series98.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify2.4s

Counts

46 → 46

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	90	386
1	240	346
2	815	309
3	4223	300
done	5000	300

prune159.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
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:

4.0ms	(sqrt (sqrt z))
4.0ms	(sqrt (sqrt z))
18.0ms	(* y (sqrt (sqrt z)))
54.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(sqrt (sqrt z))
183.0ms	(sqrt (sqrt z))
119.0ms	(* y (sqrt (sqrt z)))
68.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.0s

Counts

108 → 108

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	138	963
1	369	754
2	1722	688
done	5000	674

prune305.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
38×	`add-sqr-sqrt`
29×	`unpow-prod-down`
27×	`*-un-lft-identity`
26×	`add-cube-cbrt` `associate-r`
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` `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-flip` `pow-prod-down` `inv-pow`

Counts

4 → 127

Calls

4 calls:

7.0ms	(pow (/ 1 z) -1/4)
2.0ms	(sqrt (sqrt z))
29.0ms	(* y (pow (/ 1 z) -1/4))
39.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(pow (/ 1 z) -1/4)
183.0ms	(sqrt (sqrt z))
100.0ms	(* y (pow (/ 1 z) -1/4))
112.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

simplify1.4s

Counts

139 → 139

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	242	1538
1	674	1325
2	2696	1241
done	5004	1201

prune493.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.3b	(* (pow (/ 1 z) -1/8) y)
0.3b	(* (* (* (pow (/ 1 z) -1/8) y) (pow (/ 1 z) (/ -1/4 2))) (sqrt (sqrt z)))
0.3b	(* (* (pow (/ 1 z) -1/8) y) (pow (/ 1 z) (/ -1/4 2)))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 202

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
38.0ms	(* (pow (/ 1 z) -1/8) y)
161.0ms	(* (* (* (pow (/ 1 z) -1/8) y) (pow (/ 1 z) (/ -1/4 2))) (sqrt (sqrt z)))
89.0ms	(* (* (pow (/ 1 z) -1/8) y) (pow (/ 1 z) (/ -1/4 2)))

series652.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(sqrt (sqrt z))
184.0ms	(* (pow (/ 1 z) -1/8) y)
145.0ms	(* (* (* (pow (/ 1 z) -1/8) y) (pow (/ 1 z) (/ -1/4 2))) (sqrt (sqrt z)))
103.0ms	(* (* (pow (/ 1 z) -1/8) y) (pow (/ 1 z) (/ -1/4 2)))

simplify2.7s

Counts

214 → 214

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	345	3680
1	934	2940
2	4214	2677
done	5000	2494

prune752.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes385.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	13	10
done	13	10

end0.0ms

sample2.3s

Algorithm

intervals

Results

859.0ms	8537×	body	80	valid
506.0ms	8620×	body	80	nan