Details

sample179.0ms

Algorithm

intervals

Results

101.0ms

642×

body

valid

simplify5.6s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize43.0ms

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)))

rewrite146.0ms

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:

8.0ms	(- (* y z) (* t a))
39.0ms	(* x (- (* y z) (* t a)))
51.0ms	(* b (- (* c z) (* i a)))
45.0ms	(* j (- (* c t) (* i y)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* y z) (* t a))
93.0ms	(* x (- (* y z) (* t a)))
88.0ms	(* b (- (* c z) (* i a)))
78.0ms	(* j (- (* c t) (* i y)))

simplify2.3s

Counts

96 → 96

Iterations

Useful iterations: 2 (217.0ms)

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

prune625.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 3.9b

localize41.0ms

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)))

rewrite102.0ms

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)))
24.0ms	(* z (* b c))
12.0ms	(* b (- (* i a)))
27.0ms	(* j (- (* c t) (* i y)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* x (- (* y z) (* t a)))
42.0ms	(* z (* b c))
39.0ms	(* b (- (* i a)))
107.0ms	(* j (- (* c t) (* i y)))

simplify1.2s

Counts

100 → 100

Iterations

Useful iterations: done (1.2s)

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

prune610.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 2.0b

localize59.0ms

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))))

rewrite79.0ms

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:

27.0ms	(* j (- (* c t) (* i y)))
18.0ms	(cbrt (* j (- (* c t) (* i y))))
13.0ms	(cbrt (* j (- (* c t) (* i y))))
19.0ms	(cbrt (* j (- (* c t) (* i y))))

series554.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* j (- (* c t) (* i y)))
156.0ms	(cbrt (* j (- (* c t) (* i y))))
154.0ms	(cbrt (* j (- (* c t) (* i y))))
166.0ms	(cbrt (* j (- (* c t) (* i y))))

simplify1.4s

Counts

69 → 69

Iterations

Useful iterations: done (1.4s)

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

prune718.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 2.0b

localize95.0ms

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))))

rewrite90.0ms

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:

41.0ms	(* j (- (* c t) (* i y)))
6.0ms	(cbrt (- (* c t) (* i y)))
17.0ms	(cbrt (* j (- (* c t) (* i y))))
23.0ms	(cbrt (* j (- (* c t) (* i y))))

series629.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* j (- (* c t) (* i y)))
143.0ms	(cbrt (- (* c t) (* i y)))
213.0ms	(cbrt (* j (- (* c t) (* i y))))
196.0ms	(cbrt (* j (- (* c t) (* i y))))

simplify2.2s

Counts

71 → 71

Iterations

Useful iterations: done (2.2s)

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

prune683.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.0b

regimes1.9s

Accuracy

29.7% (7.0b remaining)

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

bsearch344.0ms

Steps

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

simplify46.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	51	111
1	87	111
2	107	111
3	111	111
done	111	111

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.6s

19018×

body

valid