Details

sample131.0ms

Algorithm

intervals

Results

54.0ms

582×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (246.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	333	28
4	907	27
5	2817	27
done	5000	27

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c z) (* t i))
4.7b	(* b (- (* c z) (* t i)))
5.9b	(* j (- (* c a) (* y i)))
6.1b	(* x (- (* y z) (* t a)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
7×	`sub-neg` `prod-diff`
6×	`associate-*r/` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 100

Calls

4 calls:

8.0ms	(- (* c z) (* t i))
37.0ms	(* b (- (* c z) (* t i)))
53.0ms	(* j (- (* c a) (* y i)))
51.0ms	(* x (- (* y z) (* t a)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* c z) (* t i))
113.0ms	(* b (- (* c z) (* t i)))
114.0ms	(* j (- (* c a) (* y i)))
93.0ms	(* x (- (* y z) (* t a)))

simplify1.2s

Counts

112 → 112

Iterations

Useful iterations: 2 (247.0ms)

Iter	Nodes	Cost
0	200	1357
1	474	1338
2	1357	1195
done	5000	1195

prune625.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.3b

localize47.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* y z) x)
4.7b	(* b (- (* c z) (* t i)))
5.4b	(* a (* x t))
5.9b	(* j (- (* c a) (* y i)))

rewrite143.0ms

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`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `prod-diff` `-commutative` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

24.0ms	(* (* y z) x)
38.0ms	(* b (- (* c z) (* t i)))
26.0ms	(* a (* x t))
53.0ms	(* j (- (* c a) (* y i)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* y z) x)
107.0ms	(* b (- (* c z) (* t i)))
39.0ms	(* a (* x t))
92.0ms	(* j (- (* c a) (* y i)))

simplify1.5s

Counts

108 → 108

Iterations

Useful iterations: 2 (331.0ms)

Iter	Nodes	Cost
0	200	1097
1	474	1083
2	1543	937
done	5000	937

prune704.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.5b

localize26.0ms

Local error

Found 4 expressions with local error:

3.9b	(* t (* x a))
4.5b	(* (* y z) x)
4.7b	(* b (- (* c z) (* t i)))
5.9b	(* j (- (* c a) (* y i)))

rewrite126.0ms

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`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `prod-diff` `-commutative` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

17.0ms	(* t (* x a))
32.0ms	(* (* y z) x)
31.0ms	(* b (- (* c z) (* t i)))
42.0ms	(* j (- (* c a) (* y i)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* t (* x a))
34.0ms	(* (* y z) x)
117.0ms	(* b (- (* c z) (* t i)))
114.0ms	(* j (- (* c a) (* y i)))

simplify1.6s

Counts

108 → 108

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	200	1097
1	474	1083
2	1547	943
done	5001	937

prune747.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.8b

localize36.0ms

Local error

Found 4 expressions with local error:

3.9b	(* t (* x a))
4.7b	(* b (- (* c z) (* t i)))
5.0b	(* y (* z x))
5.9b	(* j (- (* c a) (* y i)))

rewrite127.0ms

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`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `prod-diff` `-commutative` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

24.0ms	(* t (* x a))
41.0ms	(* b (- (* c z) (* t i)))
20.0ms	(* y (* z x))
38.0ms	(* j (- (* c a) (* y i)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* t (* x a))
104.0ms	(* b (- (* c z) (* t i)))
38.0ms	(* y (* z x))
112.0ms	(* j (- (* c a) (* y i)))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: 2 (346.0ms)

Iter	Nodes	Cost
0	198	1094
1	468	1082
2	1476	936
done	5000	936

prune602.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.8b

regimes1.5s

Accuracy

17% (7.5b remaining)

Error of 11.1b against oracle of 3.6b and baseline of 12.6b

bsearch355.0ms

Steps

Iters	Range		Point
10	6.600545005399134e-139	3.5188908208049174e-121	2.2756761084041466e-122
7	-39.551637399745935	-2.284674362912159	-34.946279476549215

simplify46.0ms

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	57	118
1	109	114
2	135	114
3	141	114
done	141	114

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.6s

18892×

body

valid