Details

sample211.0ms

Algorithm

intervals

Results

93.0ms

622×

body

valid

simplify6.2s

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	4416	29
done	5001	29

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
4.5b	(* j (- (* c a) (* y i)))
5.1b	(* x (- (* y z) (* t a)))
5.5b	(* b (- (* c z) (* t i)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`associate-*r/`
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`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`associate--l+` `frac-sub` `associate--r+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 96

Calls

4 calls:

43.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
37.0ms	(* j (- (* c a) (* y i)))
31.0ms	(* x (- (* y z) (* t a)))
46.0ms	(* b (- (* c z) (* t i)))

series630.0ms

Counts

4 → 12

Calls

4 calls:

364.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
98.0ms	(* j (- (* c a) (* y i)))
78.0ms	(* x (- (* y z) (* t a)))
89.0ms	(* b (- (* c z) (* t i)))

simplify1.3s

Counts

108 → 108

Iterations

Useful iterations: 2 (405.0ms)

Iter	Nodes	Cost
0	204	1903
1	590	1815
2	2139	1689
done	5000	1689

prune664.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.4b

localize66.0ms

Local error

Found 4 expressions with local error:

5.5b	(* b (- (* c z) (* t i)))
5.5b	(cbrt (* x (- (* y z) (* t a))))
5.5b	(cbrt (* x (- (* y z) (* t a))))
5.5b	(cbrt (* x (- (* y z) (* t a))))

rewrite124.0ms

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:

43.0ms	(* b (- (* c z) (* t i)))
36.0ms	(cbrt (* x (- (* y z) (* t a))))
21.0ms	(cbrt (* x (- (* y z) (* t a))))
21.0ms	(cbrt (* x (- (* y z) (* t a))))

series776.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* b (- (* c z) (* t i)))
215.0ms	(cbrt (* x (- (* y z) (* t a))))
228.0ms	(cbrt (* x (- (* y z) (* t a))))
238.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify2.1s

Counts

69 → 69

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	123	1034
1	311	1010
2	910	904
3	3170	892
done	5001	856

prune628.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.4b

localize76.0ms

Local error

Found 4 expressions with local error:

5.5b	(* b (- (* c z) (* t i)))
5.5b	(cbrt (* x (- (* y z) (* t a))))
5.5b	(cbrt (* x (- (* y z) (* t a))))
6.4b	(cbrt (- (* y z) (* t a)))

rewrite118.0ms

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:

49.0ms	(* b (- (* c z) (* t i)))
35.0ms	(cbrt (* x (- (* y z) (* t a))))
20.0ms	(cbrt (* x (- (* y z) (* t a))))
11.0ms	(cbrt (- (* y z) (* t a)))

series753.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* b (- (* c z) (* t i)))
241.0ms	(cbrt (* x (- (* y z) (* t a))))
226.0ms	(cbrt (* x (- (* y z) (* t a))))
181.0ms	(cbrt (- (* y z) (* t a)))

simplify2.5s

Counts

71 → 71

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	156	1061
1	382	1035
2	1084	934
3	3670	920
done	5000	872

prune852.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 6.4b

localize32.0ms

Local error

Found 4 expressions with local error:

4.5b	(* j (- (* c a) (* y i)))
5.1b	(* x (- (* y z) (* t a)))
5.5b	(* z (* b c))
6.0b	(* (- (* t i)) b)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
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-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 88

Calls

4 calls:

47.0ms	(* j (- (* c a) (* y i)))
39.0ms	(* x (- (* y z) (* t a)))
23.0ms	(* z (* b c))
25.0ms	(* (- (* t i)) b)

series294.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* j (- (* c a) (* y i)))
99.0ms	(* x (- (* y z) (* t a)))
41.0ms	(* z (* b c))
44.0ms	(* (- (* t i)) b)

simplify1.2s

Counts

100 → 100

Iterations

Useful iterations: 2 (228.0ms)

Iter	Nodes	Cost
0	173	1003
1	442	985
2	1529	855
done	5000	855

prune496.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 4.3b

regimes1.6s

Accuracy

25.5% (5.8b remaining)

Error of 10.8b against oracle of 4.9b and baseline of 12.8b

bsearch375.0ms

Steps

Iters	Range		Point
9	3.5584575694842912e+137	3.813667149013777e+142	3.128365893408556e+138
5	-2.545583416742751e+120	-1.080986455333705e+120	-1.1464058086586582e+120

simplify23.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	39	90
1	66	66
2	72	66
3	73	66
done	73	66

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.8s

19212×

body

valid