Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

292×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	9	7
done	9	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (fabs (- x y)) (fabs y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

2.0ms

(/ (fabs (- x y)) (fabs y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(/ (fabs (- x y)) (fabs y))

simplify1.5s

Counts

32 → 32

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	54	385
1	88	376
2	178	348
3	397	348
4	719	348
5	1060	348
6	2255	348
done	5000	348

prune247.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fabs y) (fabs (- x y)))
0.1b	(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 107

Calls

2 calls:

2.0ms	(/ (fabs y) (fabs (- x y)))
5.0ms	(/ 1 (/ (fabs y) (fabs (- x y))))

series15.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ (fabs y) (fabs (- x y)))
7.0ms	(/ 1 (/ (fabs y) (fabs (- x y))))

simplify3.0s

Counts

113 → 113

Iterations

Useful iterations: 3 (311.0ms)

Iter	Nodes	Cost
0	153	1781
1	316	1567
2	582	1388
3	1238	1370
4	2242	1370
5	3426	1370
done	5000	1370

prune162.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (/ 1 (fabs y)) (fabs (- x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-l`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-r` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

10.0ms

(* (/ 1 (fabs y)) (fabs (- x y)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (/ 1 (fabs y)) (fabs (- x y)))

simplify1.7s

Counts

40 → 40

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	75	489
1	158	411
2	348	351
3	628	351
4	993	351
5	1716	351
done	5000	351

prune74.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (- x y)))
0.2b	(/ (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))
0.2b	(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
0.2b	(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

4624×	`times-frac`
3039×	`sqrt-prod`
2112×	`add-sqr-sqrt`
2111×	`add-cube-cbrt` `*-un-lft-identity`
85×	`div-inv`
52×	`associate-/r` `associate-/l`
20×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
5×	`pow1` `sqrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`

Counts

4 → 1844

Calls

4 calls:

1.0ms	(sqrt (fabs (- x y)))
50.0ms	(/ (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))
4.0ms	(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
4.0ms	(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt (fabs (- x y)))
7.0ms	(/ (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))
17.0ms	(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
24.0ms	(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))

simplify3.6s

Counts

1856 → 1856

Iterations

Useful iterations: 1 (3.1s)

Iter	Nodes	Cost
0	1410	78956
1	4279	69039
done	5000	69039

prune2.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
done	6	7

end0.0ms

sample294.0ms

Algorithm

intervals

Results

161.0ms

9108×

body

valid