Details

sample74.0ms

Algorithm

intervals

Results

38.0ms

591×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	248	29
4	625	29
5	1579	29
6	3731	29
done	5001	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c z) (* t i))
3.9b	(* j (- (* c a) (* y i)))
7.4b	(* b (- (* c z) (* t i)))
8.2b	(* x (- (* y z) (* t a)))

rewrite36.0ms

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:

2.0ms	(- (* c z) (* t i))
9.0ms	(* j (- (* c a) (* y i)))
9.0ms	(* b (- (* c z) (* t i)))
13.0ms	(* x (- (* y z) (* t a)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* c z) (* t i))
69.0ms	(* j (- (* c a) (* y i)))
67.0ms	(* b (- (* c z) (* t i)))
71.0ms	(* x (- (* y z) (* t a)))

simplify1.5s

Counts

96 → 96

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	166	1155
1	418	1141
2	1175	1007
3	3911	1007
done	5000	1007

prune608.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.8b

localize28.0ms

Local error

Found 4 expressions with local error:

3.9b	(* j (- (* c a) (* y i)))
4.2b	(* z (* b c))
5.4b	(* (- (* t i)) b)
8.2b	(* x (- (* y z) (* t a)))

rewrite32.0ms

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:

10.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* z (* b c))
4.0ms	(* (- (* t i)) b)
11.0ms	(* x (- (* y z) (* t a)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* j (- (* c a) (* y i)))
26.0ms	(* z (* b c))
28.0ms	(* (- (* t i)) b)
73.0ms	(* x (- (* y z) (* t a)))

simplify884.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (154.0ms)

Iter	Nodes	Cost
0	173	1003
1	439	985
2	1507	855
done	5001	855

prune449.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.1b

localize23.0ms

Local error

Found 4 expressions with local error:

3.9b	(* j (- (* c a) (* y i)))
4.2b	(* z (* b c))
4.6b	(* t (* (- i) b))
8.2b	(* x (- (* y z) (* t a)))

rewrite34.0ms

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`
1×	`distribute-lft-neg-out` `distribute-rgt-neg-out`

Counts

4 → 85

Calls

4 calls:

10.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* z (* b c))
7.0ms	(* t (* (- i) b))
9.0ms	(* x (- (* y z) (* t a)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* j (- (* c a) (* y i)))
30.0ms	(* z (* b c))
28.0ms	(* t (* (- i) b))
70.0ms	(* x (- (* y z) (* t a)))

simplify784.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (148.0ms)

Iter	Nodes	Cost
0	174	991
1	455	971
2	1421	831
done	5001	831

prune420.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.3b

localize34.0ms

Local error

Found 4 expressions with local error:

4.6b	(* t (* (- i) b))
10.0b	(cbrt (- (* y z) (* t a)))
10.0b	(cbrt (- (* y z) (* t a)))
10.0b	(cbrt (- (* y z) (* t a)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
1×	`distribute-lft-neg-out` `associate-r` `*-commutative` `distribute-rgt-neg-out`

Counts

4 → 58

Calls

4 calls:

7.0ms	(* t (* (- i) b))
2.0ms	(cbrt (- (* y z) (* t a)))
2.0ms	(cbrt (- (* y z) (* t a)))
2.0ms	(cbrt (- (* y z) (* t a)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* t (* (- i) b))
121.0ms	(cbrt (- (* y z) (* t a)))
117.0ms	(cbrt (- (* y z) (* t a)))
119.0ms	(cbrt (- (* y z) (* t a)))

simplify1.7s

Counts

70 → 70

Iterations

Useful iterations: 3 (632.0ms)

Iter	Nodes	Cost
0	108	969
1	286	931
2	863	850
3	3207	832
done	5000	832

prune373.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.3b

regimes1.1s

Accuracy

37.4% (5.5b remaining)

Error of 9.4b against oracle of 3.9b and baseline of 12.7b

bsearch165.0ms

Steps

Iters	Range		Point
7	1.0786051931279597e+24	1.443197528546136e+26	1.1956400865377228e+24
5	-1.6379148678992566e+27	-7.107309166560862e+26	-1.1538663063516028e+27

simplify12.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	128
1	80	128
2	95	128
3	98	128
done	98	128

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19266×

body

valid