Details

sample186.0ms

Algorithm

intervals

Results

117.0ms

598×

body

valid

simplify7.0s

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	4421	29
done	5000	29

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* i a))
4.9b	(* j (- (* c t) (* i y)))
5.7b	(* x (- (* y z) (* t a)))
5.9b	(* b (- (* c z) (* i a)))

rewrite150.0ms

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:

12.0ms	(- (* c z) (* i a))
34.0ms	(* j (- (* c t) (* i y)))
57.0ms	(* x (- (* y z) (* t a)))
42.0ms	(* b (- (* c z) (* i a)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* c z) (* i a))
112.0ms	(* j (- (* c t) (* i y)))
112.0ms	(* x (- (* y z) (* t a)))
101.0ms	(* b (- (* c z) (* i a)))

simplify3.3s

Counts

96 → 96

Iterations

Useful iterations: 2 (298.0ms)

Iter	Nodes	Cost
0	167	1155
1	426	1141
2	1218	1007
3	4457	1007
done	5000	1007

prune731.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.0b

localize56.0ms

Local error

Found 4 expressions with local error:

5.9b	(* b (- (* c z) (* i a)))
7.2b	(cbrt (* j (- (* c t) (* i y))))
7.2b	(cbrt (* j (- (* c t) (* i y))))
7.2b	(cbrt (* j (- (* c t) (* i y))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

48.0ms	(* b (- (* c z) (* i a)))
37.0ms	(cbrt (* j (- (* c t) (* i y))))
24.0ms	(cbrt (* j (- (* c t) (* i y))))
24.0ms	(cbrt (* j (- (* c t) (* i y))))

series743.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* b (- (* c z) (* i a)))
222.0ms	(cbrt (* j (- (* c t) (* i y))))
177.0ms	(cbrt (* j (- (* c t) (* i y))))
240.0ms	(cbrt (* j (- (* c t) (* i y))))

simplify2.4s

Counts

69 → 69

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	123	1034
1	313	1010
2	912	904
3	3162	892
done	5001	856

prune677.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

24.0ms	(cbrt (* x (- (* y z) (* t a))))
23.0ms	(cbrt (* x (- (* y z) (* t a))))
24.0ms	(cbrt (* x (- (* y z) (* t a))))
66.0ms	(* b (- (* c z) (* i a)))

series780.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt (* x (- (* y z) (* t a))))
225.0ms	(cbrt (* x (- (* y z) (* t a))))
205.0ms	(cbrt (* x (- (* y z) (* t a))))
102.0ms	(* b (- (* c z) (* i a)))

simplify2.5s

Counts

69 → 69

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	123	1034
1	313	1010
2	915	904
3	3158	892
done	5000	856

prune625.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.3b

localize47.0ms

Local error

Found 4 expressions with local error:

5.7b	(* x (- (* y z) (* t a)))
5.9b	(cbrt (* x (- (* y z) (* t a))))
5.9b	(cbrt (* x (- (* y z) (* t a))))
5.9b	(cbrt (* x (- (* y z) (* t a))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

41.0ms	(* x (- (* y z) (* t a)))
20.0ms	(cbrt (* x (- (* y z) (* t a))))
12.0ms	(cbrt (* x (- (* y z) (* t a))))
18.0ms	(cbrt (* x (- (* y z) (* t a))))

series677.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* x (- (* y z) (* t a)))
184.0ms	(cbrt (* x (- (* y z) (* t a))))
184.0ms	(cbrt (* x (- (* y z) (* t a))))
225.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify1.4s

Counts

69 → 69

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	103	1034
1	257	1010
2	723	904
3	2429	892
done	5002	856

prune434.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.3b

Details

sample186.0ms

simplify7.0s

prune8.0ms

localize30.0ms

rewrite150.0ms

series385.0ms

simplify3.3s

prune731.0ms

localize56.0ms

rewrite134.0ms

series743.0ms

simplify2.4s

prune677.0ms

localize36.0ms

rewrite140.0ms

series780.0ms

simplify2.5s

prune625.0ms

localize47.0ms

rewrite93.0ms

series677.0ms

simplify1.4s

prune434.0ms

regimes27.0ms