Details

sample41.0ms

Algorithm

intervals

Results

17.0ms

327×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 8 (367.0ms)

Iter	Nodes	Cost
0	14	17
1	25	17
2	46	17
3	81	17
4	125	17
5	187	17
6	319	17
7	870	17
8	3698	15
done	5000	15

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y))
0.1b	(/ (+ (* 1.0 2.0) (/ 2.0 z)) t)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
11×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3-+` `flip-+` `associate-/l/` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `frac-add` `clear-num` `sum-log` `div-inv`

Counts

2 → 43

Calls

2 calls:

18.0ms	(+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y))
9.0ms	(/ (+ (* 1.0 2.0) (/ 2.0 z)) t)

series18.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y))
6.0ms	(/ (+ (* 1.0 2.0) (/ 2.0 z)) t)

simplify537.0ms

Counts

49 → 49

Iterations

Useful iterations: 3 (185.0ms)

Iter	Nodes	Cost
0	97	846
1	248	798
2	639	742
3	1797	736
done	5000	736

prune103.0ms

Filtered

39 candidates to 49 candidates (-25.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	45	6	51

Merged error: 0.0b

Counts

51 → 6

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ (* 1.0 2.0) (/ 2.0 z)) (/ 1 t)) (/ x y))
0.2b	(* (+ (* 1.0 2.0) (/ 2.0 z)) (/ 1 t))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`add-exp-log` `*-un-lft-identity` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
6×	`frac-add`
5×	`flip3-+` `flip-+`
4×	`pow1` `frac-times` `associate-*l/` `prod-exp` `add-log-exp`
3×	`associate-l` `unswap-sqr`
2×	`associate-*r/` `div-exp` `un-div-inv` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `1-exp` `pow-prod-down` `sum-log` `*-commutative` `div-inv`

Counts

2 → 57

Calls

2 calls:

18.0ms	(+ (* (+ (* 1.0 2.0) (/ 2.0 z)) (/ 1 t)) (/ x y))
13.0ms	(* (+ (* 1.0 2.0) (/ 2.0 z)) (/ 1 t))

series18.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ (* (+ (* 1.0 2.0) (/ 2.0 z)) (/ 1 t)) (/ x y))
5.0ms	(* (+ (* 1.0 2.0) (/ 2.0 z)) (/ 1 t))

simplify461.0ms

Counts

63 → 63

Iterations

Useful iterations: done (459.0ms)

Iter	Nodes	Cost
0	146	1284
1	414	1106
2	1400	994
done	5000	980

prune100.0ms

Filtered

44 candidates to 63 candidates (-43.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y))) (cbrt (+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y))))
0.6b	(cbrt (+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y)))
0.6b	(cbrt (+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y)))
0.6b	(cbrt (+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
43×	`cbrt-prod`
33×	`cbrt-div`
23×	`add-sqr-sqrt`
16×	`distribute-lft-out`
15×	`add-cube-cbrt`
14×	`times-frac`
11×	`pow1` `flip3-+` `frac-add` `flip-+`
10×	`swap-sqr`
9×	`frac-times` `pow1/3`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 111

Calls

4 calls:

41.0ms	(* (cbrt (+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y))) (cbrt (+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y))))
21.0ms	(cbrt (+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y)))
18.0ms	(cbrt (+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y)))
18.0ms	(cbrt (+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (cbrt (+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y))) (cbrt (+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y))))
51.0ms	(cbrt (+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y)))
49.0ms	(cbrt (+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y)))
54.0ms	(cbrt (+ (/ (+ (* 1.0 2.0) (/ 2.0 z)) t) (/ x y)))

simplify790.0ms

Counts

123 → 123

Iterations

Useful iterations: 3 (356.0ms)

Iter	Nodes	Cost
0	212	4486
1	461	4215
2	1289	3917
3	3597	3307
done	5001	3307

prune345.0ms

Filtered

83 candidates to 123 candidates (-48.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	122	7	129

Merged error: 0.0b

Counts

129 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
10×	`*-un-lft-identity`
8×	`pow1` `add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`associate-r` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `associate-*r/` `div-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `associate-l` `frac-add` `clear-num` `associate-/r` `sum-log` `-commutative` `flip--` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 62

Calls

3 calls:

8.0ms	(* (* z 2.0) (- 1.0 t))
12.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series31.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (* z 2.0) (- 1.0 t))
15.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify691.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	140	1189
1	417	1114
2	1556	980
done	5000	980

prune83.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	71	7	78

Merged error: 0.0b

Counts

78 → 7

regimes511.0ms

Accuracy

0% (0.1b 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	13	15
1	16	15
done	16	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

578.0ms

10419×

body

valid

Details

sample41.0ms

simplify1.1s

prune12.0ms

localize10.0ms

rewrite29.0ms

series18.0ms

simplify537.0ms

prune103.0ms

localize12.0ms

rewrite33.0ms

series18.0ms

simplify461.0ms

prune100.0ms

localize15.0ms

rewrite102.0ms

series230.0ms

simplify790.0ms

prune345.0ms

localize12.0ms

rewrite32.0ms

series31.0ms

simplify691.0ms

prune83.0ms

regimes511.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling