Details

sample13.0ms

Algorithm

intervals

Results

4.0ms

281×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	21	7
3	49	7
4	61	7
5	65	7
6	77	7
7	97	7
8	133	7
9	206	7
10	274	7
11	309	7
12	359	7
13	426	7
14	583	7
15	691	7
16	811	7
17	835	7
18	839	7
done	839	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x 1.0) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

26.0ms

(* (+ x 1.0) y)

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(* (+ x 1.0) y)

simplify3.6s

Counts

26 → 26

Iterations

Useful iterations: 3 (409.0ms)

Iter	Nodes	Cost
0	46	196
1	111	187
2	403	171
3	1386	167
4	4791	167
done	5000	167

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(sqrt (+ x 1.0))
0.1b	(* (sqrt (+ x 1.0)) y)
0.1b	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`sqrt-prod`
14×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

8.0ms	(sqrt (+ x 1.0))
7.0ms	(sqrt (+ x 1.0))
22.0ms	(* (sqrt (+ x 1.0)) y)
54.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series196.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (+ x 1.0))
32.0ms	(sqrt (+ x 1.0))
94.0ms	(* (sqrt (+ x 1.0)) y)
37.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify1.7s

Counts

109 → 109

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	135	1259
1	330	1013
2	907	905
3	2586	895
done	5000	893

prune243.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

36.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
4.0ms	(cbrt (+ x 1.0))
4.0ms	(cbrt (+ x 1.0))
7.0ms	(cbrt (+ x 1.0))

series405.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
98.0ms	(cbrt (+ x 1.0))
97.0ms	(cbrt (+ x 1.0))
95.0ms	(cbrt (+ x 1.0))

simplify1.9s

Counts

115 → 115

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	143	1535
1	323	1385
2	840	1323
3	2182	1174
done	5000	1140

prune396.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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
1	8	7
done	8	7

end0.0ms

sample345.0ms

Algorithm

intervals

Results

155.0ms	9067×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid