Details

sample125.0ms

Algorithm

intervals

Results

71.0ms

642×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	290	29
4	677	29
5	1522	29
6	4421	29
done	5000	29

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.1b	(* x (- (* y z) (* t a)))
5.0b	(* b (- (* c z) (* i a)))
5.1b	(* j (- (* c t) (* i y)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

13.0ms	(- (* y z) (* t a))
50.0ms	(* x (- (* y z) (* t a)))
57.0ms	(* b (- (* c z) (* i a)))
35.0ms	(* j (- (* c t) (* i y)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (* y z) (* t a))
83.0ms	(* x (- (* y z) (* t a)))
90.0ms	(* b (- (* c z) (* i a)))
79.0ms	(* j (- (* c t) (* i y)))

simplify2.7s

Counts

96 → 96

Iterations

Useful iterations: 2 (241.0ms)

Iter	Nodes	Cost
0	166	1155
1	425	1141
2	1219	1007
3	4448	1007
done	5000	1007

prune648.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 3.9b

localize42.0ms

Local error

Found 4 expressions with local error:

4.1b	(* x (- (* y z) (* t a)))
4.2b	(* z (* b c))
4.7b	(* b (- (* i a)))
5.1b	(* j (- (* c t) (* i y)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 88

Calls

4 calls:

34.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* z (* b c))
13.0ms	(* b (- (* i a)))
41.0ms	(* j (- (* c t) (* i y)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* x (- (* y z) (* t a)))
37.0ms	(* z (* b c))
33.0ms	(* b (- (* i a)))
104.0ms	(* j (- (* c t) (* i y)))

simplify1.3s

Counts

100 → 100

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	175	1001
1	443	983
2	1451	856
done	5001	852

prune703.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 2.0b

localize47.0ms

Local error

Found 4 expressions with local error:

5.1b	(* j (- (* c t) (* i y)))
7.2b	(cbrt (* j (- (* c t) (* i y))))
7.2b	(cbrt (* j (- (* c t) (* i y))))
7.2b	(cbrt (* j (- (* c t) (* i y))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

54.0ms	(* j (- (* c t) (* i y)))
23.0ms	(cbrt (* j (- (* c t) (* i y))))
22.0ms	(cbrt (* j (- (* c t) (* i y))))
22.0ms	(cbrt (* j (- (* c t) (* i y))))

series709.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* j (- (* c t) (* i y)))
191.0ms	(cbrt (* j (- (* c t) (* i y))))
208.0ms	(cbrt (* j (- (* c t) (* i y))))
176.0ms	(cbrt (* j (- (* c t) (* i y))))

simplify1.8s

Counts

69 → 69

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	103	1034
1	257	1010
2	723	904
3	2430	892
done	5000	856

prune681.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 2.0b

localize50.0ms

Local error

Found 4 expressions with local error:

5.1b	(* j (- (* c t) (* i y)))
5.7b	(cbrt (- (* c t) (* i y)))
7.2b	(cbrt (* j (- (* c t) (* i y))))
7.2b	(cbrt (* j (- (* c t) (* i y))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
5×	`cbrt-prod`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

44.0ms	(* j (- (* c t) (* i y)))
6.0ms	(cbrt (- (* c t) (* i y)))
11.0ms	(cbrt (* j (- (* c t) (* i y))))
21.0ms	(cbrt (* j (- (* c t) (* i y))))

series997.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* j (- (* c t) (* i y)))
173.0ms	(cbrt (- (* c t) (* i y)))
187.0ms	(cbrt (* j (- (* c t) (* i y))))
529.0ms	(cbrt (* j (- (* c t) (* i y))))

simplify2.1s

Counts

71 → 71

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	135	1061
1	333	1035
2	906	934
3	2975	920
done	5001	870

prune681.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.0b

regimes2.0s

Accuracy

29.7% (7.0b remaining)

Error of 9.6b against oracle of 2.6b and baseline of 12.6b

bsearch262.0ms

Steps

Iters	Range		Point
7	8.285314941409202e+58	1.0289555744221745e+61	2.8418372145496645e+59
5	-7.7683839525425e-109	-2.567647473621847e-109	-7.2300207615028955e-109

simplify38.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	111
1	86	111
2	104	111
3	110	111
done	110	111

end0.0ms

sample6.4s

Algorithm

intervals

Results

4.3s

19018×

body

valid