Details

sample59.0ms

Algorithm

intervals

Results

20.0ms	178×	body	80	valid
11.0ms	24×	body	1280	valid
9.0ms	29×	body	640	valid
5.0ms	18×	body	320	valid
1.0ms	7×	body	160	valid

simplify171.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	40	9
4	56	9
5	67	9
6	81	9
7	98	9
8	126	9
9	145	9
10	158	9
11	179	9
done	179	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite70.0ms

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:

51.0ms	(- (+ x (cos y)) (* z (sin y)))
7.0ms	(+ x (cos y))
10.0ms	(* z (sin y))

series136.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (+ x (cos y)) (* z (sin y)))
30.0ms	(+ x (cos y))
41.0ms	(* z (sin y))

simplify1.9s

Counts

70 → 70

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	96	633
1	224	600
2	587	552
3	2028	540
done	5000	513

prune254.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:

12.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series945.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (cbrt z) (cbrt z))
228.0ms	(cbrt z)
270.0ms	(cbrt z)
230.0ms	(cbrt z)

simplify4.2s

Counts

93 → 93

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune404.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite35.0ms

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:

25.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series895.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
152.0ms	(cbrt (sin y))
436.0ms	(cbrt (sin y))
161.0ms	(cbrt (sin y))

simplify2.2s

Counts

93 → 93

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	79	750
1	162	664
2	423	564
3	1308	541
done	5001	533

prune334.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.8b	(cbrt (* z (sin y)))
7.8b	(cbrt (* z (sin y)))
7.8b	(cbrt (* z (sin y)))

rewrite64.0ms

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:

32.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.0ms	(cbrt (* z (sin y)))
13.0ms	(cbrt (* z (sin y)))
8.0ms	(cbrt (* z (sin y)))

series660.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
128.0ms	(cbrt (* z (sin y)))
130.0ms	(cbrt (* z (sin y)))
175.0ms	(cbrt (* z (sin y)))

simplify3.1s

Counts

78 → 78

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	91	850
1	194	773
2	478	689
3	1256	593
4	3964	531
done	5000	494

prune329.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes206.0ms

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

sample2.8s

Algorithm

intervals

Results

1.3s	979×	body	1280	valid
623.0ms	5528×	body	80	valid
351.0ms	831×	body	640	valid
177.0ms	464×	body	320	valid
40.0ms	197×	body	160	valid
4.0ms	1×	body	2560	valid