Details

sample134.0ms

Algorithm

intervals

Results

80.0ms

674×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	569
1	43	569
2	96	569
3	290	569
4	721	569
5	1898	569
done	5001	569

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize78.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (* c z) (* i a))
5.1b	(* j (- (* c t) (* i y)))
5.5b	(* x (- (* y z) (* t a)))
6.1b	(* b (- (* c z) (* i a)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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:

6.0ms	(- (* c z) (* i a))
28.0ms	(* j (- (* c t) (* i y)))
23.0ms	(* x (- (* y z) (* t a)))
33.0ms	(* b (- (* c z) (* i a)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* c z) (* i a))
89.0ms	(* j (- (* c t) (* i y)))
100.0ms	(* x (- (* y z) (* t a)))
88.0ms	(* b (- (* c z) (* i a)))

simplify1.8s

Counts

96 → 96

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	167	21661
1	457	20414
2	1443	20174
done	5000	19774

prune875.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.6b

localize61.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (* c t) j)
5.5b	(* x (- (* y z) (* t a)))
5.7b	(* (- (* i y)) j)
6.1b	(* b (- (* c z) (* i a)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-l`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
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:

14.0ms	(* (* c t) j)
20.0ms	(* x (- (* y z) (* t a)))
8.0ms	(* (- (* i y)) j)
22.0ms	(* b (- (* c z) (* i a)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* c t) j)
75.0ms	(* x (- (* y z) (* t a)))
32.0ms	(* (- (* i y)) j)
74.0ms	(* b (- (* c z) (* i a)))

simplify1.5s

Counts

100 → 100

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	175	19246
1	479	18178
2	1649	17938
done	5006	17618

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.4b

localize81.0ms

Local error

Found 4 expressions with local error:

5.7b	(* (- (* i y)) j)
7.4b	(cbrt (- (* c z) (* i a)))
7.4b	(cbrt (- (* c z) (* i a)))
7.4b	(cbrt (- (* c z) (* i a)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

8.0ms	(* (- (* i y)) j)
4.0ms	(cbrt (- (* c z) (* i a)))
4.0ms	(cbrt (- (* c z) (* i a)))
12.0ms	(cbrt (- (* c z) (* i a)))

series483.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- (* i y)) j)
152.0ms	(cbrt (- (* c z) (* i a)))
152.0ms	(cbrt (- (* c z) (* i a)))
149.0ms	(cbrt (- (* c z) (* i a)))

simplify3.6s

Counts

73 → 73

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	109	23106
1	284	21727
2	886	21607
3	3693	21047
done	5016	20927

prune1.1s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 6.4b

localize102.0ms

Local error

Found 4 expressions with local error:

5.5b	(* x (- (* y z) (* t a)))
5.5b	(* x (- (* y z) (* t a)))
5.7b	(* (- (* i y)) j)
6.1b	(* b (- (* c z) (* i a)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

20.0ms	(* x (- (* y z) (* t a)))
23.0ms	(* x (- (* y z) (* t a)))
8.0ms	(* (- (* i y)) j)
27.0ms	(* b (- (* c z) (* i a)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* x (- (* y z) (* t a)))
114.0ms	(* x (- (* y z) (* t a)))
47.0ms	(* (- (* i y)) j)
92.0ms	(* b (- (* c z) (* i a)))

simplify1.4s

Counts

106 → 106

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	145	22452
1	388	21223
2	1284	20943
done	5004	20663

prune1.1s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 6.4b

regimes3.2s

Accuracy

9.7% (5.6b remaining)

Error of 12.0b against oracle of 6.4b and baseline of 12.6b

bsearch293.0ms

Steps

Iters	Range		Point
5	2.746211025770307e-261	7.7318060463821265e-261	3.1894835506665283e-261
9	-1.629619105604237e-140	-4.496833981351579e-146	-2.7345770242756358e-142

simplify29.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	42	1351
1	71	1351
2	84	1351
3	88	1351
done	88	1351

end0.0ms

sample5.3s

Algorithm

intervals

Results

4.0s

19044×

body

valid