Details

sample100.0ms

Algorithm

intervals

Results

60.0ms

610×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	290	29
4	677	29
5	1522	29
6	4421	29
done	5000	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c t) (* i y))
5.9b	(* j (- (* c t) (* i y)))
5.9b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite128.0ms

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:

9.0ms	(- (* c t) (* i y))
42.0ms	(* j (- (* c t) (* i y)))
36.0ms	(* b (- (* c z) (* i a)))
39.0ms	(* x (- (* y z) (* t a)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* c t) (* i y))
104.0ms	(* j (- (* c t) (* i y)))
99.0ms	(* b (- (* c z) (* i a)))
103.0ms	(* x (- (* y z) (* t a)))

simplify2.6s

Counts

96 → 96

Iterations

Useful iterations: 2 (232.0ms)

Iter	Nodes	Cost
0	166	1155
1	424	1141
2	1218	1007
3	4464	1007
done	5000	1007

prune505.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.6b

localize30.0ms

Local error

Found 4 expressions with local error:

5.1b	(* i (* j y))
5.9b	(* b (- (* c z) (* i a)))
6.0b	(* t (* j c))
6.5b	(* x (- (* y z) (* t a)))

rewrite147.0ms

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:

25.0ms	(* i (* j y))
46.0ms	(* b (- (* c z) (* i a)))
37.0ms	(* t (* j c))
35.0ms	(* x (- (* y z) (* t a)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* i (* j y))
108.0ms	(* b (- (* c z) (* i a)))
43.0ms	(* t (* j c))
116.0ms	(* x (- (* y z) (* t a)))

simplify1.4s

Counts

96 → 96

Iterations

Useful iterations: 2 (238.0ms)

Iter	Nodes	Cost
0	171	958
1	435	946
2	1367	806
done	5001	806

prune571.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.3b

localize33.0ms

Local error

Found 4 expressions with local error:

3.8b	(* (* i j) y)
5.9b	(* b (- (* c z) (* i a)))
6.0b	(* t (* j c))
6.5b	(* x (- (* y z) (* t a)))

rewrite137.0ms

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:

27.0ms	(* (* i j) y)
49.0ms	(* b (- (* c z) (* i a)))
25.0ms	(* t (* j c))
33.0ms	(* x (- (* y z) (* t a)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* i j) y)
103.0ms	(* b (- (* c z) (* i a)))
39.0ms	(* t (* j c))
107.0ms	(* x (- (* y z) (* t a)))

simplify1.6s

Counts

96 → 96

Iterations

Useful iterations: 2 (272.0ms)

Iter	Nodes	Cost
0	173	961
1	443	947
2	1460	807
done	5001	807

prune659.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.3b

localize47.0ms

Local error

Found 4 expressions with local error:

6.5b	(* x (- (* y z) (* t a)))
14.3b	(cbrt (* (* i j) y))
14.3b	(cbrt (* (* i j) y))
14.3b	(cbrt (* (* i j) y))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

30.0ms	(* x (- (* y z) (* t a)))
17.0ms	(cbrt (* (* i j) y))
13.0ms	(cbrt (* (* i j) y))
23.0ms	(cbrt (* (* i j) y))

series492.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* x (- (* y z) (* t a)))
129.0ms	(cbrt (* (* i j) y))
142.0ms	(cbrt (* (* i j) y))
149.0ms	(cbrt (* (* i j) y))

simplify1.5s

Counts

63 → 63

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	102	701
1	246	689
2	663	607
3	2228	595
done	5001	553

prune537.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.3b

regimes1.8s

Accuracy

13.2% (7.7b remaining)

Error of 11.2b against oracle of 3.4b and baseline of 12.3b

bsearch857.0ms

Steps

Iters	Range		Point
8	7.168334263008013e-06	0.016464959042805274	0.0009417727496660265
7	4.4028407564612504e-262	7.213085970490302e-260	4.328665951797104e-260
9	-3.268222048554753e-193	-1.3073027838348875e-199	-1.5378444725303273e-198
10	-5.002109217456398e+118	-2.2792779222977622e+105	-5.790815325220393e+105

simplify79.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	66	183
1	114	183
2	143	183
3	148	183
done	148	183

end0.0ms

sample5.8s

Algorithm

intervals

Results

4.4s

19239×

body

valid