Details

sample48.0ms

Algorithm

intervals

Results

12.0ms	267×	body	80	valid
11.0ms	258×	body	80	nan

simplify214.0ms

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: 0.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (sqrt z) y x)
0.2b	(* (/ 1.0 2.0) (fma (sqrt z) y x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r` `fma-udef`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

2 → 46

Calls

2 calls:

0.0ms	(fma (sqrt z) y x)
22.0ms	(* (/ 1.0 2.0) (fma (sqrt z) y x))

series169.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(fma (sqrt z) y x)
101.0ms	(* (/ 1.0 2.0) (fma (sqrt z) y x))

simplify717.0ms

Counts

52 → 52

Iterations

Useful iterations: done (715.0ms)

Iter	Nodes	Cost
0	100	614
1	251	603
2	1059	525
done	5001	521

prune180.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (sqrt z) y x)
0.4b	(* (sqrt (/ 1.0 2.0)) (fma (sqrt z) y x))
0.7b	(* (sqrt (/ 1.0 2.0)) (* (sqrt (/ 1.0 2.0)) (fma (sqrt z) y x)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-l`
28×	`sqrt-prod`
27×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`fma-udef`
5×	`distribute-rgt-in` `distribute-lft-in` `sqrt-div`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

3 → 88

Calls

3 calls:

0.0ms	(fma (sqrt z) y x)
28.0ms	(* (sqrt (/ 1.0 2.0)) (fma (sqrt z) y x))
50.0ms	(* (sqrt (/ 1.0 2.0)) (* (sqrt (/ 1.0 2.0)) (fma (sqrt z) y x)))

series482.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(fma (sqrt z) y x)
157.0ms	(* (sqrt (/ 1.0 2.0)) (fma (sqrt z) y x))
255.0ms	(* (sqrt (/ 1.0 2.0)) (* (sqrt (/ 1.0 2.0)) (fma (sqrt z) y x)))

simplify1.2s

Counts

97 → 97

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	170	1535
1	435	1486
2	1894	1152
done	5000	1150

prune359.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (sqrt 1.0) (sqrt 2.0))
1.0b	(/ (sqrt 1.0) (sqrt 2.0))
1.0b	(sqrt (/ (sqrt 1.0) (sqrt 2.0)))
1.0b	(sqrt (/ (sqrt 1.0) (sqrt 2.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

244×	`sqrt-prod`
152×	`times-frac`
128×	`add-sqr-sqrt`
110×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-/r` `associate-/l`
10×	`rem-sqrt-square`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `sqrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-exp` `clear-num`

Counts

4 → 240

Calls

4 calls:

8.0ms	(/ (sqrt 1.0) (sqrt 2.0))
9.0ms	(/ (sqrt 1.0) (sqrt 2.0))
13.0ms	(sqrt (/ (sqrt 1.0) (sqrt 2.0)))
14.0ms	(sqrt (/ (sqrt 1.0) (sqrt 2.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (sqrt 1.0) (sqrt 2.0))
0.0ms	(/ (sqrt 1.0) (sqrt 2.0))
0.0ms	(sqrt (/ (sqrt 1.0) (sqrt 2.0)))
0.0ms	(sqrt (/ (sqrt 1.0) (sqrt 2.0)))

simplify1.4s

Counts

244 → 244

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	150	2988
1	208	2622
2	534	2562
3	1855	2562
done	5000	2558

prune834.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ (cbrt 1.0) (sqrt 2.0)) (fma (sqrt z) y x))
0.7b	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0)) (* (/ (cbrt 1.0) (sqrt 2.0)) (fma (sqrt z) y x)))
1.0b	(/ (cbrt 1.0) (sqrt 2.0))
1.0b	(/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

88×	`times-frac`
79×	`add-sqr-sqrt`
65×	`add-cube-cbrt` `*-un-lft-identity`
52×	`add-exp-log`
50×	`associate-l` `sqrt-prod`
41×	`cbrt-prod`
39×	`add-cbrt-cube`
21×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
12×	`associate-/r*`
11×	`pow1`
7×	`associate-/l*`
6×	`fma-udef`
5×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `associate-*r/`

Counts

4 → 205

Calls

4 calls:

29.0ms	(* (/ (cbrt 1.0) (sqrt 2.0)) (fma (sqrt z) y x))
85.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0)) (* (/ (cbrt 1.0) (sqrt 2.0)) (fma (sqrt z) y x)))
8.0ms	(/ (cbrt 1.0) (sqrt 2.0))
13.0ms	(/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))

series694.0ms

Counts

4 → 8

Calls

4 calls:

310.0ms	(* (/ (cbrt 1.0) (sqrt 2.0)) (fma (sqrt z) y x))
384.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0)) (* (/ (cbrt 1.0) (sqrt 2.0)) (fma (sqrt z) y x)))
0.0ms	(/ (cbrt 1.0) (sqrt 2.0))
0.0ms	(/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))

simplify2.1s

Counts

213 → 213

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	263	3584
1	755	3381
2	4201	2853
done	5000	2721

prune711.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.3b

regimes130.0ms

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	9	9
1	10	9
done	10	9

end0.0ms

sample1.6s

Algorithm

intervals

Results

488.0ms	8527×	body	80	valid
444.0ms	8229×	body	80	nan