Details

sample95.0ms

Algorithm

intervals

Results

30.0ms	100×	body	1280	valid
17.0ms	90×	body	640	valid
15.0ms	283×	body	80	valid
5.0ms	37×	body	320	valid
2.0ms	17×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	29	7
3	64	7
4	135	7
5	250	7
6	465	7
7	1310	7
8	3368	7
done	5000	7

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(* (sin x) (/ (sinh y) y))
0.0b	(/ (sinh y) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

1.0ms	(sinh y)
8.0ms	(* (sin x) (/ (sinh y) y))
4.0ms	(/ (sinh y) y)

series47.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(sinh y)
23.0ms	(* (sin x) (/ (sinh y) y))
13.0ms	(/ (sinh y) y)

simplify1.1s

Counts

77 → 77

Iterations

Useful iterations: 3 (497.0ms)

Iter	Nodes	Cost
0	140	732
1	338	695
2	1250	633
3	4308	621
done	5000	621

prune88.0ms

Filtered

64 candidates to 77 candidates (-20.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ 1 (/ y (sinh y)))
0.0b	(* (sin x) (/ 1 (/ y (sinh y))))
0.0b	(/ y (sinh y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 192

Calls

4 calls:

1.0ms	(sinh y)
7.0ms	(/ 1 (/ y (sinh y)))
17.0ms	(* (sin x) (/ 1 (/ y (sinh y))))
4.0ms	(/ y (sinh y))

series64.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sinh y)
12.0ms	(/ 1 (/ y (sinh y)))
26.0ms	(* (sin x) (/ 1 (/ y (sinh y))))
18.0ms	(/ y (sinh y))

simplify674.0ms

Counts

204 → 204

Iterations

Useful iterations: done (669.0ms)

Iter	Nodes	Cost
0	291	2521
1	728	2181
2	2756	1858
done	5001	1769

prune152.0ms

Filtered

135 candidates to 204 candidates (-51.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	204	3	207

Merged error: 0b

Counts

207 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)
0.0b	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
0.0b	(* (sin x) (sqrt (/ (sinh y) y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
37×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
32×	`associate-r`
28×	`sqrt-prod`
15×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
6×	`associate-/r` `associate-/l`
5×	`sqrt-div`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`cbrt-undiv` `sinh-def` `frac-2neg` `div-exp` `clear-num` `*-commutative` `associate-/l/`
1×	`frac-times` `associate-*l/`

Counts

4 → 124

Calls

4 calls:

4.0ms	(/ (sinh y) y)
4.0ms	(/ (sinh y) y)
16.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
9.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (sinh y) y)
12.0ms	(/ (sinh y) y)
45.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
47.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify320.0ms

Counts

136 → 136

Iterations

Useful iterations: done (316.0ms)

Iter	Nodes	Cost
0	362	2211
1	1034	1995
done	5001	1946

prune169.0ms

Filtered

115 candidates to 136 candidates (-18.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	136	3	139

Merged error: 0b

Counts

139 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
0.0b	(/ (sinh y) y)
0.0b	(pow (/ (sinh y) y) 3)
0.3b	(cbrt (pow (/ (sinh y) y) 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
70×	`cbrt-prod`
65×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
41×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
11×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`pow1` `div-inv` `unswap-sqr`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sinh-def` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod` `associate-/l/`

Counts

4 → 173

Calls

4 calls:

14.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
4.0ms	(/ (sinh y) y)
5.0ms	(pow (/ (sinh y) y) 3)
5.0ms	(cbrt (pow (/ (sinh y) y) 3))

series75.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
12.0ms	(/ (sinh y) y)
20.0ms	(pow (/ (sinh y) y) 3)
18.0ms	(cbrt (pow (/ (sinh y) y) 3))

simplify538.0ms

Counts

185 → 185

Iterations

Useful iterations: done (533.0ms)

Iter	Nodes	Cost
0	234	2419
1	617	1924
2	2269	1720
done	5001	1709

prune174.0ms

Filtered

117 candidates to 185 candidates (-58.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	185	3	188

Merged error: 0b

Counts

188 → 3

regimes177.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample2.9s

Algorithm

intervals

Results

933.0ms	3056×	body	1280	valid
639.0ms	8495×	body	80	valid
511.0ms	2561×	body	640	valid
176.0ms	1265×	body	320	valid
67.0ms	648×	body	160	valid

Details

sample95.0ms

simplify1.6s

prune3.0ms

localize7.0ms

rewrite15.0ms

series47.0ms

simplify1.1s

prune88.0ms

localize8.0ms

rewrite38.0ms

series64.0ms

simplify674.0ms

prune152.0ms

localize9.0ms

rewrite38.0ms

series117.0ms

simplify320.0ms

prune169.0ms

localize10.0ms

rewrite36.0ms

series75.0ms

simplify538.0ms

prune174.0ms

regimes177.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.9s

Profiling