Details

sample138.0ms

Algorithm

intervals

Results

51.0ms

614×

body

valid

simplify4.9s

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: 14.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
5.3b	(* x (- (* y z) (* t a)))
5.8b	(* j (- (* c t) (* i y)))
6.1b	(* b (- (* c z) (* i a)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

89.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
29.0ms	(* x (- (* y z) (* t a)))
26.0ms	(* j (- (* c t) (* i y)))
27.0ms	(* b (- (* c z) (* i a)))

series847.0ms

Counts

4 → 12

Calls

4 calls:

604.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
75.0ms	(* x (- (* y z) (* t a)))
84.0ms	(* j (- (* c t) (* i y)))
84.0ms	(* b (- (* c z) (* i a)))

simplify2.5s

Counts

119 → 119

Iterations

Useful iterations: 2 (1.1s)

Iter	Nodes	Cost
0	273	3882
1	957	3622
2	4520	3492
done	5000	3492

prune885.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 6.5b

localize28.0ms

Local error

Found 4 expressions with local error:

4.8b	(* j (* c t))
5.3b	(* x (- (* y z) (* t a)))
5.4b	(* i (* j y))
6.1b	(* b (- (* c z) (* i a)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

33.0ms	(* j (* c t))
51.0ms	(* x (- (* y z) (* t a)))
17.0ms	(* i (* j y))
36.0ms	(* b (- (* c z) (* i a)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* j (* c t))
101.0ms	(* x (- (* y z) (* t a)))
43.0ms	(* i (* j y))
132.0ms	(* b (- (* c z) (* i a)))

simplify1.6s

Counts

96 → 96

Iterations

Useful iterations: 2 (320.0ms)

Iter	Nodes	Cost
0	172	958
1	438	946
2	1401	806
done	5001	806

prune642.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 4.5b

localize29.0ms

Local error

Found 4 expressions with local error:

5.3b	(* x (- (* y z) (* t a)))
5.4b	(* i (* j y))
5.7b	(* (* j c) t)
6.1b	(* b (- (* c z) (* i a)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

47.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* i (* j y))
29.0ms	(* (* j c) t)
60.0ms	(* b (- (* c z) (* i a)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* i (* j y))
32.0ms	(* (* j c) t)
99.0ms	(* b (- (* c z) (* i a)))

simplify1.5s

Counts

96 → 96

Iterations

Useful iterations: 2 (271.0ms)

Iter	Nodes	Cost
0	174	961
1	445	947
2	1460	807
done	5000	807

prune548.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 4.3b

localize43.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* i j) y)
5.3b	(* x (- (* y z) (* t a)))
5.7b	(* (* j c) t)
6.1b	(* b (- (* c z) (* i a)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

30.0ms	(* (* i j) y)
45.0ms	(* x (- (* y z) (* t a)))
41.0ms	(* (* j c) t)
44.0ms	(* b (- (* c z) (* i a)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* i j) y)
73.0ms	(* x (- (* y z) (* t a)))
37.0ms	(* (* j c) t)
84.0ms	(* b (- (* c z) (* i a)))

simplify1.5s

Counts

96 → 96

Iterations

Useful iterations: 2 (339.0ms)

Iter	Nodes	Cost
0	176	964
1	452	948
2	1550	808
done	5000	808

prune516.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 4.3b

regimes2.0s

Accuracy

16.9% (8.0b remaining)

Error of 11.3b against oracle of 3.3b and baseline of 13.0b

bsearch347.0ms

Steps

Iters	Range		Point
9	2.0092364146751114e-63	1.882613347281946e-58	1.7513771721339557e-61
6	-5.687607665368346e-55	-1.0919110237528716e-55	-2.973496614217344e-55

simplify26.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	47	113
1	90	79
2	117	79
3	118	79
done	118	79

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.9s

19133×

body

valid