Details

sample120.0ms

Algorithm

intervals

Results

73.0ms

598×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize38.0ms

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)))

rewrite129.0ms

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:

17.0ms	(- (* c z) (* i a))
31.0ms	(* j (- (* c t) (* i y)))
43.0ms	(* x (- (* y z) (* t a)))
34.0ms	(* b (- (* c z) (* i a)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (* c z) (* i a))
105.0ms	(* j (- (* c t) (* i y)))
115.0ms	(* x (- (* y z) (* t a)))
120.0ms	(* b (- (* c z) (* i a)))

simplify2.7s

Counts

96 → 96

Iterations

Useful iterations: 2 (206.0ms)

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

prune609.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.0b

localize73.0ms

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))))

rewrite130.0ms

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:

47.0ms	(* b (- (* c z) (* i a)))
23.0ms	(cbrt (* j (- (* c t) (* i y))))
35.0ms	(cbrt (* j (- (* c t) (* i y))))
23.0ms	(cbrt (* j (- (* c t) (* i y))))

series568.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* b (- (* c z) (* i a)))
155.0ms	(cbrt (* j (- (* c t) (* i y))))
153.0ms	(cbrt (* j (- (* c t) (* i y))))
188.0ms	(cbrt (* j (- (* c t) (* i y))))

simplify1.9s

Counts

69 → 69

Iterations

Useful iterations: done (1.9s)

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

prune720.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.0b

localize41.0ms

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:

23.0ms	(cbrt (* x (- (* y z) (* t a))))
23.0ms	(cbrt (* x (- (* y z) (* t a))))
23.0ms	(cbrt (* x (- (* y z) (* t a))))
67.0ms	(* b (- (* c z) (* i a)))

series735.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt (* x (- (* y z) (* t a))))
206.0ms	(cbrt (* x (- (* y z) (* t a))))
211.0ms	(cbrt (* x (- (* y z) (* t a))))
108.0ms	(* b (- (* c z) (* i a)))

simplify2.2s

Counts

69 → 69

Iterations

Useful iterations: done (2.2s)

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

prune770.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.3b

localize86.0ms

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))))

rewrite118.0ms

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:

53.0ms	(* x (- (* y z) (* t a)))
19.0ms	(cbrt (* x (- (* y z) (* t a))))
20.0ms	(cbrt (* x (- (* y z) (* t a))))
23.0ms	(cbrt (* x (- (* y z) (* t a))))

series759.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* x (- (* y z) (* t a)))
243.0ms	(cbrt (* x (- (* y z) (* t a))))
186.0ms	(cbrt (* x (- (* y z) (* t a))))
244.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify1.9s

Counts

69 → 69

Iterations

Useful iterations: done (1.9s)

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

prune766.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.3b

Details

sample120.0ms

simplify5.7s

prune4.0ms

localize38.0ms

rewrite129.0ms

series402.0ms

simplify2.7s

prune609.0ms

localize73.0ms

rewrite130.0ms

series568.0ms

simplify1.9s

prune720.0ms

localize41.0ms

rewrite140.0ms

series735.0ms

simplify2.2s

prune770.0ms

localize86.0ms

rewrite118.0ms

series759.0ms

simplify1.9s

prune766.0ms

regimes43.0ms