Details

sample62.0ms

Algorithm

intervals

Results

18.0ms	31×	body	1280	valid
17.0ms	182×	body	80	valid
11.0ms	31×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	3×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	243
1	14	243
2	28	243
3	40	243
4	56	243
5	67	243
6	130	243
7	342	243
8	879	243
9	2320	243
done	5000	243

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.0b	(+ x (cos y))
0.1b	(* z (sin y))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

55.0ms	(- (+ x (cos y)) (* z (sin y)))
7.0ms	(+ x (cos y))
10.0ms	(* z (sin y))

series151.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (+ x (cos y)) (* z (sin y)))
30.0ms	(+ x (cos y))
52.0ms	(* z (sin y))

simplify940.0ms

Counts

70 → 70

Iterations

Useful iterations: done (934.0ms)

Iter	Nodes	Cost
0	95	16489
1	228	15104
2	719	14692
done	5000	14482

prune385.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.1b	(* (* (* z (sin y)) (* z (sin y))) (* z (sin y)))
0.2b	(* (* z (sin y)) (* z (sin y)))
33.0b	(cbrt (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

200×	`pow1`
87×	`pow-prod-down`
59×	`add-cbrt-cube` `add-exp-log`
40×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
19×	`pow-plus`
16×	`pow-sqr`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`pow2` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow3`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

10.0ms	(* z (sin y))
123.0ms	(* (* (* z (sin y)) (* z (sin y))) (* z (sin y)))
34.0ms	(* (* z (sin y)) (* z (sin y)))
93.0ms	(cbrt (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))))

series294.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* z (sin y))
99.0ms	(* (* (* z (sin y)) (* z (sin y))) (* z (sin y)))
74.0ms	(* (* z (sin y)) (* z (sin y)))
69.0ms	(cbrt (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))))

simplify2.0s

Counts

156 → 156

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	122	32199
1	351	25222
2	2054	23983
done	5000	22168

prune492.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (cos y))
0.1b	(* (sqrt z) (sin y))
0.2b	(* (sqrt z) (* (sqrt z) (sin y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

8.0ms	(+ x (cos y))
12.0ms	(* (sqrt z) (sin y))
34.0ms	(* (sqrt z) (* (sqrt z) (sin y)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ x (cos y))
86.0ms	(* (sqrt z) (sin y))
76.0ms	(* (sqrt z) (* (sqrt z) (sin y)))

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	111	17174
1	290	14861
2	1136	13516
done	5000	12971

prune410.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sin y))
0.0b	(sqrt (sin y))
0.1b	(* z (sqrt (sin y)))
0.2b	(* (* z (sqrt (sin y))) (sqrt (sin y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

3.0ms	(sqrt (sin y))
2.0ms	(sqrt (sin y))
9.0ms	(* z (sqrt (sin y)))
26.0ms	(* (* z (sqrt (sin y))) (sqrt (sin y)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (sin y))
18.0ms	(sqrt (sin y))
67.0ms	(* z (sqrt (sin y)))
64.0ms	(* (* z (sqrt (sin y))) (sqrt (sin y)))

simplify1.0s

Counts

89 → 89

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	89	18896
1	228	15534
2	1126	15294
done	5000	14949

prune357.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes226.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	243
1	10	243
done	10	243

end0.0ms

sample2.4s

Algorithm

intervals

Results

980.0ms	5556×	body	80	valid
703.0ms	996×	body	1280	valid
348.0ms	840×	body	640	valid
105.0ms	396×	body	320	valid
35.0ms	210×	body	160	valid
2.0ms	2×	body	2560	valid