Details

sample112.0ms

Algorithm

intervals

Results

68.0ms

642×

body

valid

simplify6.1s

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: 10.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.1b	(* x (- (* y z) (* t a)))
5.0b	(* b (- (* c z) (* i a)))
5.1b	(* j (- (* c t) (* i y)))

rewrite136.0ms

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:

16.0ms	(- (* y z) (* t a))
54.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* b (- (* c z) (* i a)))
35.0ms	(* j (- (* c t) (* i y)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (* y z) (* t a))
129.0ms	(* x (- (* y z) (* t a)))
75.0ms	(* b (- (* c z) (* i a)))
89.0ms	(* j (- (* c t) (* i y)))

simplify2.8s

Counts

96 → 96

Iterations

Useful iterations: 2 (275.0ms)

Iter	Nodes	Cost
0	166	1155
1	425	1141
2	1219	1007
3	4448	1007
done	5000	1007

prune704.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 3.9b

localize29.0ms

Local error

Found 4 expressions with local error:

4.1b	(* x (- (* y z) (* t a)))
4.2b	(* z (* b c))
4.7b	(* b (- (* i a)))
5.1b	(* j (- (* c t) (* i y)))

rewrite117.0ms

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:

30.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* z (* b c))
12.0ms	(* b (- (* i a)))
46.0ms	(* j (- (* c t) (* i y)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* z (* b c))
41.0ms	(* b (- (* i a)))
99.0ms	(* j (- (* c t) (* i y)))

simplify1.7s

Counts

100 → 100

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	175	1001
1	443	983
2	1451	856
done	5001	852

prune744.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 2.0b

localize61.0ms

Local error

Found 4 expressions with local error:

4.7b	(* b (- (* i a)))
5.7b	(cbrt (- (* c t) (* i y)))
5.7b	(cbrt (- (* c t) (* i y)))
5.7b	(cbrt (- (* c t) (* i y)))

rewrite67.0ms

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` `associate-r` `add-cbrt-cube`
4×	`add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

25.0ms	(* b (- (* i a)))
13.0ms	(cbrt (- (* c t) (* i y)))
12.0ms	(cbrt (- (* c t) (* i y)))
13.0ms	(cbrt (- (* c t) (* i y)))

series634.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* b (- (* i a)))
203.0ms	(cbrt (- (* c t) (* i y)))
199.0ms	(cbrt (- (* c t) (* i y)))
202.0ms	(cbrt (- (* c t) (* i y)))

simplify3.5s

Counts

73 → 73

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	110	979
1	275	943
2	871	871
3	3600	853
done	5000	802

prune755.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.0b

localize52.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.2b	(* z (* b c))
4.7b	(* b (- (* i a)))
5.1b	(* j (- (* c t) (* i y)))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

103.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
23.0ms	(* z (* b c))
12.0ms	(* b (- (* i a)))
61.0ms	(* j (- (* c t) (* i y)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
40.0ms	(* z (* b c))
28.0ms	(* b (- (* i a)))
130.0ms	(* j (- (* c t) (* i y)))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	193	1428
1	533	1405
2	1880	1048
done	5000	919

prune644.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 2.0b

Details

sample112.0ms

simplify6.1s

prune8.0ms

localize35.0ms

rewrite136.0ms

series347.0ms

simplify2.8s

prune704.0ms

localize29.0ms

rewrite117.0ms

series281.0ms

simplify1.7s

prune744.0ms

localize61.0ms

rewrite67.0ms

series634.0ms

simplify3.5s

prune755.0ms

localize52.0ms

rewrite204.0ms

series336.0ms

simplify1.4s

prune644.0ms

regimes2.2s

bsearch3.0ms