Details

sample96.0ms

Algorithm

intervals

Results

24.0ms	45×	body	1280	valid
16.0ms	49×	body	640	valid
8.0ms	123×	body	80	valid
6.0ms	31×	body	320	valid
4.0ms	14×	body	640	nan
3.0ms	71×	body	80	nan
3.0ms	9×	body	1280	nan
3.0ms	59×	body	80	overflowed
1.0ms	9×	body	160	valid
1.0ms	7×	body	320	nan
0.0ms	2×	body	160	nan

simplify311.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	20	13
2	33	13
3	47	13
4	67	13
5	89	13
6	111	13
7	146	13
8	179	13
9	232	13
10	383	13
11	422	13
done	422	13

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: 25.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.0b	(+ (- 1.0 y) (* y (exp z)))
2.8b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

6.0ms	(* y (exp z))
9.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
11.0ms	(+ (- 1.0 y) (* y (exp z)))
6.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series71.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* y (exp z))
42.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
7.0ms	(+ (- 1.0 y) (* y (exp z)))
15.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify1.7s

Counts

92 → 92

Iterations

Useful iterations: 3 (824.0ms)

Iter	Nodes	Cost
0	199	1436
1	445	1388
2	1276	1269
3	4212	1266
done	5000	1266

prune172.0ms

Filtered

68 candidates to 92 candidates (-35.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	5	93

Merged error: 4.3b

Counts

93 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
2.8b	(log (+ 1.0 (- (* y (exp z)) y)))
4.0b	(- (* y (exp z)) y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`log-pow`
4×	`log-div` `log-prod` `associate-/l*`
3×	`associate-r` `associate-l` `associate-/r*`
2×	`flip3-+` `div-sub` `flip-+`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

5.0ms	(* y (exp z))
9.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
6.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
5.0ms	(- (* y (exp z)) y)

series73.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* y (exp z))
45.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
15.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
7.0ms	(- (* y (exp z)) y)

simplify2.0s

Counts

90 → 90

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	208	1388
1	459	1326
2	1295	1223
3	4055	1208
done	5000	1208

prune139.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	90	5	95

Merged error: 4.2b

Counts

95 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ 1.0 (* 0.5 z)))
0.0b	(- x (/ (+ (log 1.0) (* (* z (+ 1.0 (* 0.5 z))) y)) t))
3.8b	(* (* z (+ 1.0 (* 0.5 z))) y)
4.1b	(/ (+ (log 1.0) (* (* z (+ 1.0 (* 0.5 z))) y)) t)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

6.0ms	(* z (+ 1.0 (* 0.5 z)))
8.0ms	(- x (/ (+ (log 1.0) (* (* z (+ 1.0 (* 0.5 z))) y)) t))
8.0ms	(* (* z (+ 1.0 (* 0.5 z))) y)
7.0ms	(/ (+ (log 1.0) (* (* z (+ 1.0 (* 0.5 z))) y)) t)

series63.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* z (+ 1.0 (* 0.5 z)))
32.0ms	(- x (/ (+ (log 1.0) (* (* z (+ 1.0 (* 0.5 z))) y)) t))
7.0ms	(* (* z (+ 1.0 (* 0.5 z))) y)
18.0ms	(/ (+ (log 1.0) (* (* z (+ 1.0 (* 0.5 z))) y)) t)

simplify909.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (172.0ms)

Iter	Nodes	Cost
0	173	1774
1	433	1697
2	1390	1543
done	5000	1543

prune208.0ms

Filtered

71 candidates to 98 candidates (-38.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	92	11	103

Merged error: 4.2b

Counts

103 → 11

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
3.1b	(/ (* z y) t)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

11.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
5.0ms	(/ (* z y) t)

series23.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
5.0ms	(/ (* z y) t)

simplify1.4s

Counts

43 → 43

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	86	587
1	205	564
2	652	506
3	2840	506
done	5001	506

prune61.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	41	13	54

Merged error: 3.9b

Counts

54 → 13

regimes926.0ms

Accuracy

54.7% (4.8b remaining)

Error of 8.6b against oracle of 3.8b and baseline of 14.4b

bsearch44.0ms

Steps

Iters	Range		Point
7	-0.001730323649017124	-2.2616434563553712e-05	-2.7490043504004516e-05

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	31
1	27	31
done	27	31

end0.0ms

sample2.9s

Algorithm

intervals

Results

726.0ms	1382×	body	1280	valid
495.0ms	1551×	body	640	valid
237.0ms	3591×	body	80	valid
196.0ms	937×	body	320	valid
124.0ms	2528×	body	80	nan
105.0ms	88×	body	2560	valid
92.0ms	1582×	body	80	overflowed
69.0ms	478×	body	160	valid
62.0ms	271×	body	640	nan
47.0ms	138×	body	1280	nan
30.0ms	164×	body	320	nan
11.0ms	107×	body	160	nan

Details

sample96.0ms

simplify311.0ms

prune4.0ms

localize11.0ms

rewrite34.0ms

series71.0ms

simplify1.7s

prune172.0ms

localize10.0ms

rewrite29.0ms

series73.0ms

simplify2.0s

prune139.0ms

localize12.0ms

rewrite31.0ms

series63.0ms

simplify909.0ms

prune208.0ms

localize10.0ms

rewrite17.0ms

series23.0ms

simplify1.4s

prune61.0ms

regimes926.0ms

bsearch44.0ms

simplify2.0ms

end0.0ms

sample2.9s

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