Details

sample92.0ms

Algorithm

intervals

Results

31.0ms	167×	body	80	valid
24.0ms	34×	body	1280	valid
14.0ms	33×	body	640	valid
4.0ms	15×	body	320	valid
1.0ms	7×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	41	9
4	57	9
5	68	9
6	131	9
7	343	9
8	885	9
9	2386	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

10.0ms	(+ x (cos y))
75.0ms	(- (+ x (cos y)) (* z (sin y)))
14.0ms	(* z (sin y))

series164.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (cos y))
75.0ms	(- (+ x (cos y)) (* z (sin y)))
55.0ms	(* z (sin y))

simplify643.0ms

Counts

70 → 70

Iterations

Useful iterations: done (640.0ms)

Iter	Nodes	Cost
0	96	633
1	232	600
2	736	556
done	5000	540

prune215.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite16.0ms

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:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series975.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(* (cbrt z) (cbrt z))
222.0ms	(cbrt z)
263.0ms	(cbrt z)
205.0ms	(cbrt z)

simplify860.0ms

Counts

93 → 93

Iterations

Useful iterations: done (857.0ms)

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

prune371.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.3b	(cbrt (* z (sin y)))
6.3b	(cbrt (* z (sin y)))
6.3b	(cbrt (* z (sin y)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

29.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.0ms	(cbrt (* z (sin y)))
10.0ms	(cbrt (* z (sin y)))
6.0ms	(cbrt (* z (sin y)))

series732.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
176.0ms	(cbrt (* z (sin y)))
185.0ms	(cbrt (* z (sin y)))
170.0ms	(cbrt (* z (sin y)))

simplify728.0ms

Counts

78 → 78

Iterations

Useful iterations: done (725.0ms)

Iter	Nodes	Cost
0	91	850
1	218	773
2	821	690
done	5001	621

prune296.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
6.3b	(cbrt (* z (sin y)))
6.3b	(cbrt (* z (sin y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
10.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series595.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt z)
104.0ms	(cbrt (sin y))
129.0ms	(cbrt (* z (sin y)))
130.0ms	(cbrt (* z (sin y)))

simplify672.0ms

Counts

60 → 60

Iterations

Useful iterations: done (670.0ms)

Iter	Nodes	Cost
0	87	421
1	174	408
2	447	371
3	1504	335
done	5001	318

prune307.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	14	16
done	14	16

end0.0ms

sample2.6s

Algorithm

intervals

Results

932.0ms	5589×	body	80	valid
736.0ms	997×	body	1280	valid
377.0ms	796×	body	640	valid
147.0ms	408×	body	320	valid
43.0ms	210×	body	160	valid