Details

sample76.0ms

Algorithm

intervals

Results

40.0ms

625×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	249	29
4	644	29
5	1683	29
6	4127	29
done	5001	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
5.2b	(* b (- (* c z) (* i a)))
5.4b	(* j (- (* c t) (* i y)))
6.5b	(* x (- (* y z) (* t a)))

rewrite35.0ms

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:

3.0ms	(- (* y z) (* t a))
10.0ms	(* b (- (* c z) (* i a)))
10.0ms	(* j (- (* c t) (* i y)))
10.0ms	(* x (- (* y z) (* t a)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* y z) (* t a))
65.0ms	(* b (- (* c z) (* i a)))
67.0ms	(* j (- (* c t) (* i y)))
68.0ms	(* x (- (* y z) (* t a)))

simplify529.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	166	1155
1	427	1141
2	1591	1007
done	5000	1007

prune404.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.1b

localize23.0ms

Local error

Found 4 expressions with local error:

5.2b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))
6.7b	(* i (* j y))
7.0b	(* t (* j c))

rewrite35.0ms

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:

10.0ms	(* b (- (* c z) (* i a)))
10.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* i (* j y))
6.0ms	(* t (* j c))

series184.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* b (- (* c z) (* i a)))
67.0ms	(* x (- (* y z) (* t a)))
23.0ms	(* i (* j y))
28.0ms	(* t (* j c))

simplify535.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	171	958
1	441	946
2	1607	806
done	5000	806

prune410.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.1b

localize22.0ms

Local error

Found 4 expressions with local error:

4.7b	(* (* t j) c)
5.2b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))
6.7b	(* i (* j y))

rewrite39.0ms

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:

7.0ms	(* (* t j) c)
10.0ms	(* b (- (* c z) (* i a)))
13.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* i (* j y))

series187.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* t j) c)
68.0ms	(* b (- (* c z) (* i a)))
69.0ms	(* x (- (* y z) (* t a)))
24.0ms	(* i (* j y))

simplify600.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	174	961
1	453	947
2	1754	807
done	5000	807

prune432.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.1b

localize26.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* (cbrt i) (cbrt i)) (* (cbrt i) (* j y)))
4.7b	(* (* t j) c)
5.2b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

30.0ms	(* (* (cbrt i) (cbrt i)) (* (cbrt i) (* j y)))
7.0ms	(* (* t j) c)
10.0ms	(* b (- (* c z) (* i a)))
10.0ms	(* x (- (* y z) (* t a)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (cbrt i) (cbrt i)) (* (cbrt i) (* j y)))
30.0ms	(* (* t j) c)
65.0ms	(* b (- (* c z) (* i a)))
71.0ms	(* x (- (* y z) (* t a)))

simplify684.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (158.0ms)

Iter	Nodes	Cost
0	192	1292
1	530	1266
2	2105	960
done	5000	960

prune393.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.1b

regimes1.1s

Accuracy

13.2% (8.0b remaining)

Error of 11.3b against oracle of 3.3b and baseline of 12.6b

bsearch240.0ms

Steps

Iters	Range		Point
9	2.039107012811407e-155	5.525767292787017e-148	1.419491066943148e-153
8	-1.4626098712205842e-18	-2.5969800136085836e-23	-9.761107225532516e-22

simplify16.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	117
1	103	117
2	140	117
3	141	117
done	141	117

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19171×

body

valid