Details

sample37.0ms

Algorithm

intervals

Results

15.0ms	372×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	1280	valid

simplify739.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	12	15
1	30	15
2	79	13
3	211	13
4	452	13
5	632	13
6	642	13
done	642	13

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ y z) z)
0.0b	(+ (+ (+ y z) z) y)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

15.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
15.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
6.0ms	(+ (+ y z) z)
10.0ms	(+ (+ (+ y z) z) y)

series41.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
15.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
4.0ms	(+ (+ y z) z)
6.0ms	(+ (+ (+ y z) z) y)

simplify634.0ms

Counts

83 → 83

Iterations

Useful iterations: done (632.0ms)

Iter	Nodes	Cost
0	130	1085
1	373	1004
2	1218	816
done	5000	796

prune104.0ms

Filtered

57 candidates to 83 candidates (-45.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))) (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
0.5b	(cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

23.0ms	(* (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))) (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
10.0ms	(cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))
10.0ms	(cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))
12.0ms	(cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))) (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
74.0ms	(cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))
71.0ms	(cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))
81.0ms	(cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))

simplify1.5s

Counts

99 → 99

Iterations

Useful iterations: 3 (616.0ms)

Iter	Nodes	Cost
0	169	3642
1	402	3429
2	1130	3192
3	3988	2668
done	5001	2668

prune299.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
0.5b	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
0.5b	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
0.6b	(* (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
40×	`add-sqr-sqrt`
36×	`cbrt-div`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `associate-r` `associate-l` `flip-+` `unswap-sqr`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 110

Calls

4 calls:

14.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
11.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
11.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
26.0ms	(* (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))))

series343.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
73.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
73.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
126.0ms	(* (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))))

simplify1.4s

Counts

122 → 122

Iterations

Useful iterations: 3 (632.0ms)

Iter	Nodes	Cost
0	192	4832
1	421	4595
2	1143	4341
3	3906	3696
done	5000	3696

prune581.0ms

Filtered

90 candidates to 122 candidates (-35.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	122	7	129

Merged error: 0b

Counts

129 → 7

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
0.6b	(cbrt (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))))
0.6b	(cbrt (cbrt (* (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))) (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))))
1.0b	(pow (cbrt (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))) 4)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod`
38×	`cbrt-div`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
8×	`flip3-+` `flip-+`
5×	`pow1` `add-exp-log`
4×	`frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

10.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
11.0ms	(cbrt (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))))
9.0ms	(cbrt (cbrt (* (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))) (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))))
14.0ms	(pow (cbrt (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))) 4)

series435.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
73.0ms	(cbrt (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))))
124.0ms	(cbrt (cbrt (* (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))) (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))))
159.0ms	(pow (cbrt (cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))) 4)

simplify591.0ms

Counts

94 → 94

Iterations

Useful iterations: done (586.0ms)

Iter	Nodes	Cost
0	304	3764
1	670	3582
2	1660	3363
done	5000	3135

prune602.0ms

Filtered

76 candidates to 94 candidates (-23.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	94	7	101

Merged error: 0b

Counts

101 → 7

regimes384.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	19	15
done	19	15

end0.0ms

sample1.0s

Algorithm

intervals

Results

435.0ms	10757×	body	80	valid
15.0ms	100×	body	640	valid
13.0ms	71×	body	1280	valid
5.0ms	44×	body	320	valid
3.0ms	35×	body	160	valid

Details

sample37.0ms

simplify739.0ms

prune8.0ms

localize10.0ms

rewrite49.0ms

series41.0ms

simplify634.0ms

prune104.0ms

localize14.0ms

rewrite58.0ms

series355.0ms

simplify1.5s

prune299.0ms

localize20.0ms

rewrite65.0ms

series343.0ms

simplify1.4s

prune581.0ms

localize30.0ms

rewrite48.0ms

series435.0ms

simplify591.0ms

prune602.0ms

regimes384.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling