Details

sample65.0ms

Algorithm

intervals

Results

33.0ms

535×

body

valid

simplify3.4s

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	3739	29
done	5001	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c a) (* y i))
4.7b	(* x (- (* y z) (* t a)))
5.8b	(* b (- (* c z) (* t i)))
6.0b	(* j (- (* c a) (* y i)))

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:

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

series231.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* c a) (* y i))
66.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* b (- (* c z) (* t i)))
64.0ms	(* j (- (* c a) (* y i)))

simplify1.3s

Counts

96 → 96

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	167	1155
1	419	1141
2	1176	1007
3	3911	1007
done	5001	1007

prune400.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.0b

localize26.0ms

Local error

Found 4 expressions with local error:

4.7b	(* x (- (* y z) (* t a)))
5.2b	(* (- (* t i)) b)
6.0b	(* j (- (* c a) (* y i)))
6.1b	(* z (* b c))

rewrite30.0ms

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:

9.0ms	(* x (- (* y z) (* t a)))
4.0ms	(* (- (* t i)) b)
9.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* z (* b c))

series182.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* x (- (* y z) (* t a)))
26.0ms	(* (- (* t i)) b)
65.0ms	(* j (- (* c a) (* y i)))
25.0ms	(* z (* b c))

simplify593.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	173	1003
1	440	985
2	1511	855
done	5000	855

prune437.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.4b

localize23.0ms

Local error

Found 4 expressions with local error:

3.0b	(* t (* (- i) b))
4.7b	(* x (- (* y z) (* t a)))
6.0b	(* j (- (* c a) (* y i)))
6.1b	(* z (* b c))

rewrite37.0ms

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:

8.0ms	(* t (* (- i) b))
9.0ms	(* x (- (* y z) (* t a)))
12.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* z (* b c))

series180.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* t (* (- i) b))
64.0ms	(* x (- (* y z) (* t a)))
64.0ms	(* j (- (* c a) (* y i)))
25.0ms	(* z (* b c))

simplify533.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	174	991
1	455	971
2	1426	831
done	5001	831

prune409.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.2b

localize22.0ms

Local error

Found 4 expressions with local error:

3.0b	(* t (* (- i) b))
4.7b	(* x (- (* y z) (* t a)))
5.7b	(* (* z b) c)
6.0b	(* j (- (* c a) (* y i)))

rewrite36.0ms

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

Counts

4 → 85

Calls

4 calls:

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

series182.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* t (* (- i) b))
63.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* (* z b) c)
63.0ms	(* j (- (* c a) (* y i)))

simplify597.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (173.0ms)

Iter	Nodes	Cost
0	177	994
1	462	972
2	1539	832
done	5000	832

prune348.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.2b

regimes1.0s

Accuracy

19.3% (7.4b remaining)

Error of 11.2b against oracle of 3.8b and baseline of 13.0b

bsearch113.0ms

Steps

Iters	Range		Point
3	7.721321518727541e-10	8.965851528236555e-10	7.799104644321854e-10
5	-4.516844723916959e-34	-1.567822962827994e-34	-3.7660440731317677e-34

simplify17.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	125
1	88	125
2	108	125
3	112	125
done	112	125

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19202×

body

valid