Details

sample132.0ms

Algorithm

intervals

Results

82.0ms

619×

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
3.7b	(* b (- (* c z) (* t i)))
5.9b	(* x (- (* y z) (* t a)))
7.3b	(* j (- (* c a) (* y i)))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

63.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
33.0ms	(* b (- (* c z) (* t i)))
44.0ms	(* x (- (* y z) (* t a)))
55.0ms	(* j (- (* c a) (* y i)))

series658.0ms

Counts

4 → 12

Calls

4 calls:

382.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
101.0ms	(* b (- (* c z) (* t i)))
80.0ms	(* x (- (* y z) (* t a)))
95.0ms	(* j (- (* c a) (* y i)))

simplify1.3s

Counts

108 → 108

Iterations

Useful iterations: 2 (370.0ms)

Iter	Nodes	Cost
0	204	1903
1	590	1815
2	2139	1689
done	5000	1689

prune673.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.5b

localize42.0ms

Local error

Found 4 expressions with local error:

3.7b	(* b (- (* c z) (* t i)))
4.6b	(* a (* j c))
5.9b	(* x (- (* y z) (* t a)))
6.1b	(* (- (* y i)) j)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

50.0ms	(* b (- (* c z) (* t i)))
19.0ms	(* a (* j c))
30.0ms	(* x (- (* y z) (* t a)))
12.0ms	(* (- (* y i)) j)

series240.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* b (- (* c z) (* t i)))
27.0ms	(* a (* j c))
82.0ms	(* x (- (* y z) (* t a)))
45.0ms	(* (- (* y i)) j)

simplify1.2s

Counts

100 → 100

Iterations

Useful iterations: 2 (234.0ms)

Iter	Nodes	Cost
0	174	1003
1	443	985
2	1481	855
done	5001	855

prune587.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.3b

localize51.0ms

Local error

Found 4 expressions with local error:

3.7b	(* b (- (* c z) (* t i)))
4.6b	(* a (* j c))
5.8b	(* i (* j y))
5.9b	(* x (- (* y z) (* t a)))

rewrite111.0ms

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:

26.0ms	(* b (- (* c z) (* t i)))
16.0ms	(* a (* j c))
26.0ms	(* i (* j y))
41.0ms	(* x (- (* y z) (* t a)))

series292.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* b (- (* c z) (* t i)))
35.0ms	(* a (* j c))
42.0ms	(* i (* j y))
112.0ms	(* x (- (* y z) (* t a)))

simplify1.5s

Counts

96 → 96

Iterations

Useful iterations: 2 (220.0ms)

Iter	Nodes	Cost
0	171	958
1	433	946
2	1374	806
done	5000	806

prune433.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.8b

localize41.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (cbrt i) (* j y))
3.7b	(* b (- (* c z) (* t i)))
4.6b	(* a (* j c))
5.9b	(* x (- (* y z) (* t a)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
15×	`add-sqr-sqrt` `associate-l`
11×	`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`
3×	`cbrt-prod`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

18.0ms	(* (cbrt i) (* j y))
27.0ms	(* b (- (* c z) (* t i)))
23.0ms	(* a (* j c))
26.0ms	(* x (- (* y z) (* t a)))

series182.0ms

Calls

3 calls:

74.0ms	(* b (- (* c z) (* t i)))
31.0ms	(* a (* j c))
77.0ms	(* x (- (* y z) (* t a)))