Details

sample184.0ms

Algorithm

intervals

Results

96.0ms

606×

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
4.4b	(* b (- (* c z) (* t i)))
4.7b	(* j (- (* c a) (* y i)))
6.3b	(* x (- (* y z) (* t a)))

rewrite171.0ms

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:

40.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
27.0ms	(* b (- (* c z) (* t i)))
47.0ms	(* j (- (* c a) (* y i)))
54.0ms	(* x (- (* y z) (* t a)))

series600.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
100.0ms	(* b (- (* c z) (* t i)))
92.0ms	(* j (- (* c a) (* y i)))
91.0ms	(* x (- (* y z) (* t a)))

simplify1.2s

Counts

108 → 108

Iterations

Useful iterations: 2 (357.0ms)

Iter	Nodes	Cost
0	204	1903
1	590	1815
2	2138	1689
done	5002	1689

prune611.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 7.3b

localize36.0ms

Local error

Found 4 expressions with local error:

4.0b	(* j (* c a))
4.4b	(* b (- (* c z) (* t i)))
5.1b	(* (- (* y i)) j)
6.3b	(* x (- (* y z) (* t a)))

rewrite165.0ms

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:

31.0ms	(* j (* c a))
54.0ms	(* b (- (* c z) (* t i)))
30.0ms	(* (- (* y i)) j)
46.0ms	(* x (- (* y z) (* t a)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* j (* c a))
121.0ms	(* b (- (* c z) (* t i)))
50.0ms	(* (- (* y i)) j)
110.0ms	(* x (- (* y z) (* t a)))

simplify1.5s

Counts

100 → 100

Iterations

Useful iterations: 2 (295.0ms)

Iter	Nodes	Cost
0	173	1003
1	444	985
2	1505	855
done	5001	855

prune702.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 5.6b

localize59.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (cbrt j) (* c a))
4.4b	(* b (- (* c z) (* t i)))
5.1b	(* (- (* y i)) j)
6.3b	(* x (- (* y z) (* t a)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `associate-l`
15×	`pow1` `add-exp-log`
13×	`add-cbrt-cube`
12×	`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×	`cbrt-prod` `unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 91

Calls

4 calls:

19.0ms	(* (cbrt j) (* c a))
52.0ms	(* b (- (* c z) (* t i)))
20.0ms	(* (- (* y i)) j)
28.0ms	(* x (- (* y z) (* t a)))

series432.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt j) (* c a))
103.0ms	(* b (- (* c z) (* t i)))
36.0ms	(* (- (* y i)) j)
120.0ms	(* x (- (* y z) (* t a)))

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: 2 (357.0ms)

Iter	Nodes	Cost
0	186	1042
1	468	1021
2	1566	895
done	5001	895

prune917.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.6b

localize60.0ms

Local error

Found 4 expressions with local error:

6.3b	(* x (- (* y z) (* t a)))
18.2b	(cbrt (* j (* c a)))
18.2b	(cbrt (* j (* c a)))
18.2b	(cbrt (* j (* c a)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

40.0ms	(* x (- (* y z) (* t a)))
16.0ms	(cbrt (* j (* c a)))
11.0ms	(cbrt (* j (* c a)))
11.0ms	(cbrt (* j (* c a)))

series531.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* x (- (* y z) (* t a)))
138.0ms	(cbrt (* j (* c a)))
140.0ms	(cbrt (* j (* c a)))
138.0ms	(cbrt (* j (* c a)))

simplify1.8s

Counts

63 → 63

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	102	701
1	246	689
2	662	607
3	2215	595
done	5001	553

prune451.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 5.6b

regimes1.6s

Accuracy

8.4% (6.4b remaining)

Error of 11.7b against oracle of 5.3b and baseline of 12.3b

bsearch234.0ms

Steps

Iters	Range		Point
5	1.5514657748760468e-247	3.2800855548201535e-247	3.232623075559448e-247
8	-5.101085384386959e-76	-4.158532169598308e-79	-1.9276251264685032e-77

simplify18.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	113
1	85	113
2	95	113
3	97	113
done	97	113

end0.0ms

sample5.0s

Algorithm

intervals

Results

3.2s

19277×

body

valid