Details

sample199.0ms

Algorithm

intervals

Results

131.0ms

633×

body

valid

simplify6.7s

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: 13.8b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
4.3b	(* b (- (* c z) (* i a)))
5.6b	(* j (- (* c t) (* i y)))
5.9b	(* x (- (* y z) (* t a)))

rewrite139.0ms

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))
35.0ms	(* b (- (* c z) (* i a)))
54.0ms	(* j (- (* c t) (* i y)))
39.0ms	(* x (- (* y z) (* t a)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* y z) (* t a))
96.0ms	(* b (- (* c z) (* i a)))
114.0ms	(* j (- (* c t) (* i y)))
124.0ms	(* x (- (* y z) (* t a)))

simplify3.1s

Counts

96 → 96

Iterations

Useful iterations: 2 (217.0ms)

Iter	Nodes	Cost
0	166	1155
1	425	1141
2	1219	1007
3	4447	1007
done	5001	1007

prune623.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.0b

localize60.0ms

Local error

Found 4 expressions with local error:

4.3b	(* b (- (* c z) (* i a)))
5.0b	(* t (* j c))
5.9b	(* i (* j y))
5.9b	(* x (- (* y z) (* t a)))

rewrite159.0ms

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`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

52.0ms	(* b (- (* c z) (* i a)))
23.0ms	(* t (* j c))
17.0ms	(* i (* j y))
62.0ms	(* x (- (* y z) (* t a)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* b (- (* c z) (* i a)))
42.0ms	(* t (* j c))
32.0ms	(* i (* j y))
115.0ms	(* x (- (* y z) (* t a)))

simplify1.4s

Counts

96 → 96

Iterations

Useful iterations: 2 (245.0ms)

Iter	Nodes	Cost
0	171	958
1	435	946
2	1376	806
done	5000	806

prune674.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.0b

localize80.0ms

Local error

Found 4 expressions with local error:

5.6b	(* j (- (* c t) (* i y)))
5.6b	(* j (- (* c t) (* i y)))
5.6b	(* j (- (* c t) (* i y)))
5.9b	(* x (- (* y z) (* t a)))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

54.0ms	(* j (- (* c t) (* i y)))
55.0ms	(* j (- (* c t) (* i y)))
58.0ms	(* j (- (* c t) (* i y)))
55.0ms	(* x (- (* y z) (* t a)))

series460.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* j (- (* c t) (* i y)))
111.0ms	(* j (- (* c t) (* i y)))
124.0ms	(* j (- (* c t) (* i y)))
94.0ms	(* x (- (* y z) (* t a)))

simplify2.1s

Counts

108 → 108

Iterations

Useful iterations: 2 (216.0ms)

Iter	Nodes	Cost
0	107	1316
1	277	1304
2	789	1144
3	2893	1144
done	5002	1144

prune950.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.0b

localize68.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (cbrt b) (- (* c z) (* i a)))
2.9b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
5.6b	(* j (- (* c t) (* i y)))
5.9b	(* x (- (* y z) (* t a)))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

41.0ms	(* (cbrt b) (- (* c z) (* i a)))
90.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
38.0ms	(* j (- (* c t) (* i y)))
34.0ms	(* x (- (* y z) (* t a)))

series238.0ms

Calls

2 calls:

135.0ms	(* j (- (* c t) (* i y)))
103.0ms	(* x (- (* y z) (* t a)))