Details

sample97.0ms

Algorithm

intervals

Results

35.0ms	40×	body	1280	valid
20.0ms	37×	body	640	valid
18.0ms	155×	body	80	valid
7.0ms	18×	body	320	valid
2.0ms	6×	body	160	valid

simplify342.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))

rewrite111.0ms

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:

83.0ms	(- (+ x (cos y)) (* z (sin y)))
7.0ms	(+ x (cos y))
18.0ms	(* z (sin y))

series199.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (+ x (cos y)) (* z (sin y)))
47.0ms	(+ x (cos y))
75.0ms	(* z (sin y))

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: done (2.1s)

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

prune233.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(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:

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

series1.3s

Counts

4 → 12

Calls

4 calls:

547.0ms	(* (cbrt z) (cbrt z))
258.0ms	(cbrt z)
265.0ms	(cbrt z)
224.0ms	(cbrt z)

simplify4.1s

Counts

93 → 93

Iterations

Useful iterations: done (4.1s)

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

prune320.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

1.0ms	(cbrt z)
2.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt z)
216.0ms	(cbrt z)
267.0ms	(cbrt z)
241.0ms	(cbrt z)

simplify1.8s

Counts

64 → 64

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	26	284
1	44	268
2	85	244
3	162	232
4	407	232
5	1333	232
done	5000	232

prune383.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt z) (sin y))
0.3b	(* (cbrt (* z z)) (* (cbrt z) (sin y)))
0.7b	(cbrt z)
30.5b	(cbrt (* z z))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

17.0ms	(* (cbrt z) (sin y))
37.0ms	(* (cbrt (* z z)) (* (cbrt z) (sin y)))
1.0ms	(cbrt z)
5.0ms	(cbrt (* z z))

series644.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cbrt z) (sin y))
68.0ms	(* (cbrt (* z z)) (* (cbrt z) (sin y)))
234.0ms	(cbrt z)
220.0ms	(cbrt (* z z))

simplify2.5s

Counts

81 → 81

Iterations

Useful iterations: 3 (683.0ms)

Iter	Nodes	Cost
0	97	621
1	192	594
2	562	542
3	2035	526
done	5000	526

prune363.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes281.0ms

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

sample2.4s

Algorithm

intervals

Results

751.0ms	943×	body	1280	valid
692.0ms	836×	body	640	valid
588.0ms	5602×	body	80	valid
114.0ms	413×	body	320	valid
38.0ms	206×	body	160	valid