Details

sample158.0ms

Algorithm

intervals

Results

98.0ms

617×

body

valid

simplify6.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	290	29
4	677	29
5	1522	29
6	4416	29
done	5001	29

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.1b	(* x (- (* y z) (* t a)))
4.9b	(* b (- (* c z) (* t i)))
5.9b	(* j (- (* c a) (* y i)))

rewrite121.0ms

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:

8.0ms	(- (* y z) (* t a))
36.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* b (- (* c z) (* t i)))
46.0ms	(* j (- (* c a) (* y i)))

series383.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* y z) (* t a))
102.0ms	(* x (- (* y z) (* t a)))
112.0ms	(* b (- (* c z) (* t i)))
108.0ms	(* j (- (* c a) (* y i)))

simplify2.4s

Counts

96 → 96

Iterations

Useful iterations: 2 (189.0ms)

Iter	Nodes	Cost
0	166	1155
1	422	1141
2	1212	1007
3	4472	1007
done	5000	1007

prune642.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 5.9b

localize49.0ms

Local error

Found 4 expressions with local error:

4.1b	(* x (- (* y z) (* t a)))
4.3b	(* z (* b c))
5.4b	(* b (- (* t i)))
5.9b	(* j (- (* c a) (* y i)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
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-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 88

Calls

4 calls:

32.0ms	(* x (- (* y z) (* t a)))
31.0ms	(* z (* b c))
21.0ms	(* b (- (* t i)))
27.0ms	(* j (- (* c a) (* y i)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* z (* b c))
33.0ms	(* b (- (* t i)))
99.0ms	(* j (- (* c a) (* y i)))

simplify1.4s

Counts

100 → 100

Iterations

Useful iterations: 2 (316.0ms)

Iter	Nodes	Cost
0	175	1001
1	444	983
2	1446	852
done	5001	852

prune791.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 3.4b

localize56.0ms

Local error

Found 4 expressions with local error:

5.9b	(* j (- (* c a) (* y i)))
17.2b	(cbrt (* z (* b c)))
17.2b	(cbrt (* z (* b c)))
17.2b	(cbrt (* z (* b c)))

rewrite100.0ms

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:

43.0ms	(* j (- (* c a) (* y i)))
33.0ms	(cbrt (* z (* b c)))
11.0ms	(cbrt (* z (* b c)))
11.0ms	(cbrt (* z (* b c)))

series536.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* j (- (* c a) (* y i)))
140.0ms	(cbrt (* z (* b c)))
161.0ms	(cbrt (* z (* b c)))
134.0ms	(cbrt (* z (* b c)))

simplify1.9s

Counts

63 → 63

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	102	701
1	245	689
2	661	607
3	2242	595
done	5000	553

prune739.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 3.4b

localize82.0ms

Local error

Found 4 expressions with local error:

5.9b	(* j (- (* c a) (* y i)))
6.7b	(cbrt (- (* c z) (* t i)))
6.7b	(cbrt (- (* c z) (* t i)))
6.7b	(cbrt (- (* c z) (* t i)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

27.0ms	(* j (- (* c a) (* y i)))
6.0ms	(cbrt (- (* c z) (* t i)))
9.0ms	(cbrt (- (* c z) (* t i)))
12.0ms	(cbrt (- (* c z) (* t i)))

series669.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* j (- (* c a) (* y i)))
170.0ms	(cbrt (- (* c z) (* t i)))
204.0ms	(cbrt (- (* c z) (* t i)))
168.0ms	(cbrt (- (* c z) (* t i)))

simplify2.0s

Counts

75 → 75

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	122	1115
1	315	1085
2	868	994
3	2777	976
done	5000	928

prune567.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 3.1b

Details

sample158.0ms

simplify6.3s

prune9.0ms

localize51.0ms

rewrite121.0ms

series383.0ms

simplify2.4s

prune642.0ms

localize49.0ms

rewrite116.0ms

series272.0ms

simplify1.4s

prune791.0ms

localize56.0ms

rewrite100.0ms

series536.0ms

simplify1.9s

prune739.0ms

localize82.0ms

rewrite56.0ms

series669.0ms

simplify2.0s

prune567.0ms

regimes2.0s

bsearch2.0ms