Details

sample36.0ms

Algorithm

intervals

Results

12.0ms

343×

body

valid

simplify411.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	16	9
2	32	9
3	65	9
4	138	9
5	213	9
6	267	9
7	287	9
8	341	9
9	439	9
10	446	9
done	446	9

prune4.0ms

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: 7.1b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

8.0b	(/ (* y (- z t)) a)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/l/`
1×	`pow1` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

8.0ms

(/ (* y (- z t)) a)

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(/ (* y (- z t)) a)

simplify1.7s

Counts

26 → 26

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	63	276
1	164	267
2	515	225
3	2351	213
done	5000	212

prune56.0ms

Filtered

18 candidates to 26 candidates (-44.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	20	6	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	7	27

Merged error: 0.0b

Counts

27 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) a)
7.5b	(* y (/ (- z t) a))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 76

Calls

2 calls:

6.0ms	(/ (- z t) a)
10.0ms	(* y (/ (- z t) a))

series20.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/ (- z t) a)
13.0ms	(* y (/ (- z t) a))

simplify1.5s

Counts

82 → 82

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	116	831
1	276	783
2	747	721
3	2448	709
done	5001	708

prune82.0ms

Filtered

53 candidates to 82 candidates (-54.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	82	7	89

Merged error: 0b

Counts

89 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (- z t) (/ 1 a))
7.5b	(* y (* (- z t) (/ 1 a)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
20×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`-un-lft-identity` `associate-r*`
13×	`prod-exp`
11×	`add-cube-cbrt` `times-frac`
9×	`pow1`
8×	`associate-r/` `associate-l*`
7×	`cbrt-unprod`
4×	`frac-times` `flip3--` `div-exp` `pow-prod-down` `associate-*l/` `flip--`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `*-commutative` `add-log-exp`
1×	`div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 70

Calls

2 calls:

10.0ms	(* (- z t) (/ 1 a))
11.0ms	(* y (* (- z t) (/ 1 a)))

series22.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(* (- z t) (/ 1 a))
13.0ms	(* y (* (- z t) (/ 1 a)))

simplify3.0s

Counts

76 → 76

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	133	863
1	336	695
2	991	573
3	4327	561
done	5000	561

prune78.0ms

Filtered

47 candidates to 76 candidates (-61.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	76	7	83

Merged error: 0b

Counts

83 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ a (* y (- z t))))
8.0b	(/ a (* y (- z t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-exp-log`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-cbrt-cube`
14×	`div-exp`
11×	`associate-/r/`
10×	`associate-r/` `associate-/r`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`prod-exp`
3×	`pow1` `rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 87

Calls

2 calls:

10.0ms	(/ 1 (/ a (* y (- z t))))
8.0ms	(/ a (* y (- z t)))

series24.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(/ 1 (/ a (* y (- z t))))
11.0ms	(/ a (* y (- z t)))

simplify2.7s

Counts

93 → 93

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	152	1254
1	348	1103
2	919	947
3	3970	901
done	5000	900

prune55.0ms

Filtered

45 candidates to 93 candidates (-106.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	2	1	3
Picked	0	1	1
Done	1	2	3
Total	95	5	100

Merged error: 0b

Counts

100 → 5

regimes718.0ms

Accuracy

80.7% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	18	43
1	23	35
done	23	35

end0.0ms

sample1.0s

Algorithm

intervals

Results

377.0ms

10744×

body

valid

Details

sample36.0ms

simplify411.0ms

prune4.0ms

localize7.0ms

rewrite8.0ms

series13.0ms

simplify1.7s

prune56.0ms

localize7.0ms

rewrite19.0ms

series20.0ms

simplify1.5s

prune82.0ms

localize9.0ms

rewrite24.0ms

series22.0ms

simplify3.0s

prune78.0ms

localize9.0ms

rewrite22.0ms

series24.0ms

simplify2.7s

prune55.0ms

regimes718.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling