Details

sample73.0ms

Algorithm

intervals

Results

23.0ms	33×	body	1280	valid
19.0ms	193×	body	80	valid
8.0ms	18×	body	640	valid
3.0ms	10×	body	320	valid
0.0ms	2×	body	160	valid

simplify2.8s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

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

series125.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(- (+ x (cos y)) (* z (sin y)))
53.0ms	(* z (sin y))

simplify2.7s

Counts

50 → 50

Iterations

Useful iterations: 3 (904.0ms)

Iter	Nodes	Cost
0	82	511
1	188	491
2	622	447
3	4736	432
done	5000	432

prune221.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite23.0ms

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:

18.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1000.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(* (cbrt z) (cbrt z))
264.0ms	(cbrt z)
235.0ms	(cbrt z)
239.0ms	(cbrt z)

simplify1.0s

Counts

93 → 93

Iterations

Useful iterations: done (1.0s)

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

prune451.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.7b	(cbrt (* z (sin y)))
8.7b	(cbrt (* z (sin y)))
8.7b	(cbrt (* z (sin y)))

rewrite42.0ms

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:

21.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
10.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series740.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
171.0ms	(cbrt (* z (sin y)))
178.0ms	(cbrt (* z (sin y)))
152.0ms	(cbrt (* z (sin y)))

simplify711.0ms

Counts

78 → 78

Iterations

Useful iterations: done (709.0ms)

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

prune474.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
8.7b	(cbrt (* z (sin y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`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 → 50

Calls

4 calls:

1.0ms	(cbrt z)
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
5.0ms	(cbrt (* z (sin y)))

series698.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt z)
126.0ms	(cbrt (sin y))
133.0ms	(cbrt (sin y))
206.0ms	(cbrt (* z (sin y)))

simplify805.0ms

Counts

62 → 62

Iterations

Useful iterations: done (802.0ms)

Iter	Nodes	Cost
0	87	396
1	174	377
2	447	342
3	1504	318
done	5001	308

prune412.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes282.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	5643×	body	80	valid
759.0ms	959×	body	1280	valid
448.0ms	817×	body	640	valid
120.0ms	384×	body	320	valid
45.0ms	197×	body	160	valid