Details

sample38.0ms

Algorithm

intervals

Results

14.0ms	372×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	1280	valid

simplify318.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	12	15
1	30	15
2	80	13
3	216	13
4	473	13
5	680	13
6	708	13
done	708	13

prune12.0ms

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

localize11.0ms

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))
16.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
7.0ms	(+ (+ y z) z)
10.0ms	(+ (+ (+ y z) z) y)

series41.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
12.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
4.0ms	(+ (+ y z) z)
5.0ms	(+ (+ (+ y z) z) y)

simplify418.0ms

Counts

83 → 83

Iterations

Useful iterations: done (416.0ms)

Iter	Nodes	Cost
0	130	1085
1	381	1007
2	1232	816
done	5001	796

prune109.0ms

Filtered

59 candidates to 83 candidates (-40.7%)

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)))

series352.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (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)))
76.0ms	(cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0)))

simplify1.3s

Counts

99 → 99

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	169	3642
1	405	3446
2	1243	3192
3	4065	2729
done	5001	2668

prune321.0ms

Filtered

82 candidates to 99 candidates (-20.7%)

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

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:

4.0ms	(cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))))
4.0ms	(cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))))
4.0ms	(cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))))
14.0ms	(* (cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t))))) (cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t))))))

series572.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))))
108.0ms	(cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))))
108.0ms	(cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))))
247.0ms	(* (cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t))))) (cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t))))))

simplify955.0ms

Counts

122 → 122

Iterations

Useful iterations: done (949.0ms)

Iter	Nodes	Cost
0	178	4730
1	391	4475
2	1190	4217
3	3997	3801
done	5000	3649

prune604.0ms

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

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:

4.0ms	(cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))))
5.0ms	(cbrt (cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t))))))
5.0ms	(cbrt (cbrt (* (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))) (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))))))
8.0ms	(pow (cbrt (cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))))) 4)

series675.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))))
108.0ms	(cbrt (cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t))))))
249.0ms	(cbrt (cbrt (* (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))) (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))))))
210.0ms	(pow (cbrt (cbrt (cbrt (+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))))) 4)

simplify468.0ms

Counts

94 → 94

Iterations

Useful iterations: done (463.0ms)

Iter	Nodes	Cost
0	288	3685
1	637	3518
2	1706	3234
done	5000	3086

prune684.0ms

Filtered

82 candidates to 94 candidates (-14.6%)

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

regimes392.0ms

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

432.0ms	10757×	body	80	valid
14.0ms	100×	body	640	valid
13.0ms	71×	body	1280	valid
5.0ms	44×	body	320	valid
3.0ms	35×	body	160	valid

Details

sample38.0ms

simplify318.0ms

prune12.0ms

localize11.0ms

rewrite49.0ms

series41.0ms

simplify418.0ms

prune109.0ms

localize14.0ms

rewrite58.0ms

series352.0ms

simplify1.3s

prune321.0ms

localize24.0ms

rewrite31.0ms

series572.0ms

simplify955.0ms

prune604.0ms

localize32.0ms

rewrite25.0ms

series675.0ms

simplify468.0ms

prune684.0ms

regimes392.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling