Details

sample40.0ms

Algorithm

intervals

Results

9.0ms	267×	body	80	valid
9.0ms	251×	body	80	nan

simplify201.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 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))

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))

series85.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (* y (sqrt z)))
49.0ms	(* y (sqrt z))

simplify2.5s

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

prune190.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite92.0ms

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))
23.0ms	(* y (sqrt (sqrt z)))
55.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(sqrt (sqrt z))
160.0ms	(sqrt (sqrt z))
92.0ms	(* y (sqrt (sqrt z)))
56.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.1s

Counts

108 → 108

Iterations

Useful iterations: done (1.1s)

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

prune378.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `unpow-prod-down` `-un-lft-identity` `associate-r*`
22×	`sqrt-prod`
19×	`prod-exp`
18×	`times-frac`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
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` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv` `sqr-pow`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 125

Calls

4 calls:

8.0ms	(pow (/ 1 z) -1/4)
5.0ms	(sqrt (sqrt z))
20.0ms	(* y (sqrt (sqrt z)))
64.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

series585.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(pow (/ 1 z) -1/4)
170.0ms	(sqrt (sqrt z))
91.0ms	(* y (sqrt (sqrt z)))
96.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

simplify1.3s

Counts

137 → 137

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	250	1503
1	729	1290
2	3099	1210
done	5001	1188

prune620.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

13.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

275.0ms	(* (cbrt z) (cbrt z))
246.0ms	(cbrt z)
297.0ms	(cbrt z)
292.0ms	(cbrt z)

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune598.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes525.0ms

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

865.0ms	8619×	body	80	nan
554.0ms	8518×	body	80	valid