Details

sample76.0ms

Algorithm

intervals

Results

39.0ms

629×

body

valid

simplify3.8s

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	1583	29
6	3741	29
done	5000	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c t) (* i y))
4.2b	(* b (- (* c z) (* i a)))
5.2b	(* j (- (* c t) (* i y)))
5.9b	(* x (- (* y z) (* t a)))

rewrite34.0ms

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 t) (* i y))
9.0ms	(* b (- (* c z) (* i a)))
11.0ms	(* j (- (* c t) (* i y)))
9.0ms	(* x (- (* y z) (* t a)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* c t) (* i y))
64.0ms	(* b (- (* c z) (* i a)))
64.0ms	(* j (- (* c t) (* i y)))
63.0ms	(* x (- (* y z) (* t a)))

simplify1.6s

Counts

96 → 96

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	166	1155
1	421	1141
2	1178	1007
3	3919	1007
done	5000	1007

prune394.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.0b

localize24.0ms

Local error

Found 4 expressions with local error:

4.2b	(* b (- (* c z) (* i a)))
4.4b	(* i (* j y))
4.9b	(* t (* j c))
5.9b	(* 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`

Counts

4 → 84

Calls

4 calls:

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

series177.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* b (- (* c z) (* i a)))
23.0ms	(* i (* j y))
24.0ms	(* t (* j c))
65.0ms	(* x (- (* y z) (* t a)))

simplify1.8s

Counts

96 → 96

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	171	958
1	436	946
2	1320	806
3	4569	806
done	5000	806

prune413.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 2.9b

localize28.0ms

Local error

Found 4 expressions with local error:

4.2b	(* b (- (* c z) (* i a)))
4.4b	(* i (* j y))
5.4b	(* (* t j) c)
5.9b	(* x (- (* y z) (* t a)))

rewrite33.0ms

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:

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

series179.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* b (- (* c z) (* i a)))
22.0ms	(* i (* j y))
24.0ms	(* (* t j) c)
68.0ms	(* x (- (* y z) (* t a)))

simplify1.0s

Counts

96 → 96

Iterations

Useful iterations: 2 (184.0ms)

Iter	Nodes	Cost
0	174	961
1	444	947
2	1438	807
done	5001	807

prune409.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 2.9b

localize27.0ms

Local error

Found 4 expressions with local error:

4.2b	(* b (- (* c z) (* i a)))
4.9b	(* t (* j c))
5.9b	(* x (- (* y z) (* t a)))
5.9b	(* (* i j) y)

rewrite33.0ms

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:

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

series183.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* b (- (* c z) (* i a)))
25.0ms	(* t (* j c))
67.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* (* i j) y)

simplify1.0s

Counts

96 → 96

Iterations

Useful iterations: 2 (181.0ms)

Iter	Nodes	Cost
0	173	961
1	442	947
2	1440	807
done	5001	807

prune317.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.9b

regimes1.1s

Accuracy

19.7% (7.8b remaining)

Error of 11.0b against oracle of 3.2b and baseline of 12.9b

bsearch292.0ms

Steps

Iters	Range		Point
7	7.875855679910111e-67	7.138046685260948e-65	4.513260496673315e-65
2	3.7783519426879904e-308	4.1708173100152075e-308	4.0236427972675005e-308
7	-3.4250942496308227e-174	-3.8055586516303794e-176	-3.855081105174013e-175
6	-1.5407080357965941e+57	-2.7806830922174845e+56	-3.209878650036215e+56

simplify14.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	65	182
1	107	181
2	134	181
done	134	181

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19241×

body

valid