Details

sample77.0ms

Algorithm

intervals

Results

41.0ms

625×

body

valid

simplify4.0s

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	1678	29
6	4141	29
done	5001	29

prune7.0ms

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

rewrite33.0ms

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

series235.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* y z) (* t a))
66.0ms	(* b (- (* c z) (* t i)))
66.0ms	(* j (- (* c a) (* y i)))
67.0ms	(* x (- (* y z) (* t a)))

simplify528.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	166	1155
1	424	1141
2	1586	1007
done	5001	1007

prune444.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 5.1b

localize22.0ms

Local error

Found 4 expressions with local error:

4.0b	(* a (* j c))
4.7b	(* b (- (* c z) (* t i)))
5.2b	(* (- (* y i)) j)
6.1b	(* x (- (* y z) (* t a)))

rewrite35.0ms

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:

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

series188.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* a (* j c))
67.0ms	(* b (- (* c z) (* t i)))
28.0ms	(* (- (* y i)) j)
68.0ms	(* x (- (* y z) (* t a)))

simplify586.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (134.0ms)

Iter	Nodes	Cost
0	174	1003
1	453	985
2	1777	855
done	5001	855

prune445.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.4b

localize23.0ms

Local error

Found 4 expressions with local error:

4.0b	(* a (* j c))
4.7b	(* b (- (* c z) (* t i)))
5.7b	(* i (* j y))
6.1b	(* x (- (* y z) (* t a)))

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:

6.0ms	(* a (* j c))
10.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* i (* j y))
12.0ms	(* x (- (* y z) (* t a)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* a (* j c))
68.0ms	(* b (- (* c z) (* t i)))
24.0ms	(* i (* j y))
70.0ms	(* x (- (* y z) (* t a)))

simplify523.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	171	958
1	442	946
2	1606	806
done	5000	806

prune429.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 3.3b

localize21.0ms

Local error

Found 4 expressions with local error:

4.0b	(* a (* j c))
4.7b	(* b (- (* c z) (* t i)))
5.3b	(* (* i j) y)
6.1b	(* x (- (* y z) (* t a)))

rewrite35.0ms

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:

8.0ms	(* a (* j c))
9.0ms	(* b (- (* c z) (* t i)))
7.0ms	(* (* i j) y)
10.0ms	(* x (- (* y z) (* t a)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* a (* j c))
68.0ms	(* b (- (* c z) (* t i)))
28.0ms	(* (* i j) y)
64.0ms	(* x (- (* y z) (* t a)))

simplify573.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	173	961
1	450	947
2	1755	807
done	5001	807

prune340.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 3.3b

regimes1.2s

Accuracy

38.3% (5.6b remaining)

Error of 9.0b against oracle of 3.4b and baseline of 12.5b

bsearch224.0ms

Steps

Iters	Range		Point
9	5.857635852724399e+17	1.3907254227533359e+23	1.844845652774963e+18
8	-2.242359691539898e-16	-1.8257088041520303e-19	-5.218187984963758e-18

simplify14.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	46	111
1	82	76
2	102	76
3	107	76
done	107	76

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s

19022×

body

valid