Details

sample138.0ms

Algorithm

intervals

Results

73.0ms

611×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	290	29
4	969	29
done	5001	29

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c t) (* i y))
5.1b	(* j (- (* c t) (* i y)))
5.6b	(* x (- (* y z) (* t a)))
5.7b	(* b (- (* c z) (* i a)))

rewrite140.0ms

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:

15.0ms	(- (* c t) (* i y))
43.0ms	(* j (- (* c t) (* i y)))
39.0ms	(* x (- (* y z) (* t a)))
40.0ms	(* b (- (* c z) (* i a)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (* c t) (* i y))
91.0ms	(* j (- (* c t) (* i y)))
98.0ms	(* x (- (* y z) (* t a)))
86.0ms	(* b (- (* c z) (* i a)))

simplify867.0ms

Counts

96 → 96

Iterations

Useful iterations: done (864.0ms)

Iter	Nodes	Cost
0	166	1155
1	457	1141
2	1791	1017
done	5001	1007

prune576.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.8b

localize28.0ms

Local error

Found 4 expressions with local error:

4.0b	(* x (- (* t a)))
5.1b	(* j (- (* c t) (* i y)))
5.6b	(* x (* y z))
5.7b	(* b (- (* c z) (* i a)))

rewrite97.0ms

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:

12.0ms	(* x (- (* t a)))
29.0ms	(* j (- (* c t) (* i y)))
17.0ms	(* x (* y z))
37.0ms	(* b (- (* c z) (* i a)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* x (- (* t a)))
77.0ms	(* j (- (* c t) (* i y)))
26.0ms	(* x (* y z))
77.0ms	(* b (- (* c z) (* i a)))

simplify1.1s

Counts

100 → 100

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	174	1001
1	480	983
2	2019	862
done	5000	852

prune629.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.6b

localize61.0ms

Local error

Found 4 expressions with local error:

4.0b	(* x (- (* t a)))
5.1b	(* j (- (* c t) (* i y)))
5.7b	(* b (- (* c z) (* i a)))
6.4b	(* (* x y) z)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
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:

14.0ms	(* x (- (* t a)))
27.0ms	(* j (- (* c t) (* i y)))
34.0ms	(* b (- (* c z) (* i a)))
32.0ms	(* (* x y) z)

series240.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* x (- (* t a)))
106.0ms	(* j (- (* c t) (* i y)))
75.0ms	(* b (- (* c z) (* i a)))
28.0ms	(* (* x y) z)

simplify1.1s

Counts

100 → 100

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	178	1004
1	490	984
2	2352	865
done	5000	857

prune569.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.9b

localize45.0ms

Local error

Found 4 expressions with local error:

4.0b	(* x (- (* t a)))
4.3b	(* (* (cbrt z) (cbrt z)) (* x y))
5.1b	(* j (- (* c t) (* i y)))
5.7b	(* b (- (* c z) (* i a)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
18×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
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 → 92

Calls

4 calls:

23.0ms	(* x (- (* t a)))
47.0ms	(* (* (cbrt z) (cbrt z)) (* x y))
41.0ms	(* j (- (* c t) (* i y)))
38.0ms	(* b (- (* c z) (* i a)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* x (- (* t a)))
187.0ms	(* (* (cbrt z) (cbrt z)) (* x y))
83.0ms	(* j (- (* c t) (* i y)))
88.0ms	(* b (- (* c z) (* i a)))

simplify1.4s

Counts

104 → 104

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	189	1160
1	534	1135
2	2258	980
done	5000	962

prune529.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.9b

regimes1.6s

Accuracy

24.6% (7.9b remaining)

Error of 10.3b against oracle of 2.4b and baseline of 12.9b

bsearch84.0ms

Steps

Iters	Range		Point
0	63261244.42099445	65284244.77701338	64272744.59900391
5	-1.3374703111627723e-215	-5.338834892947625e-216	-1.2185168135165718e-215

simplify24.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	107
1	96	107
2	120	107
3	127	107
done	127	107

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.4s

18848×

body

valid