Details

sample137.0ms

Algorithm

intervals

Results

71.0ms

599×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1898
4	721
3	290
2	96
1	43
0	23

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize71.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
4.4b	(* b (- (* c z) (* i a)))
4.8b	(* j (- (* c t) (* i y)))
7.6b	(* x (- (* y z) (* t a)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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:

11.0ms	(- (* y z) (* t a))
40.0ms	(* b (- (* c z) (* i a)))
36.0ms	(* j (- (* c t) (* i y)))
21.0ms	(* x (- (* y z) (* t a)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* y z) (* t a))
95.0ms	(* b (- (* c z) (* i a)))
101.0ms	(* j (- (* c t) (* i y)))
102.0ms	(* x (- (* y z) (* t a)))

simplify1.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1438
1	457
0	166

prune1.2s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 8.8b

localize68.0ms

Local error

Found 4 expressions with local error:

4.4b	(* b (- (* c z) (* i a)))
4.8b	(* j (- (* c t) (* i y)))
5.9b	(* x (- (* t a)))
8.0b	(* x (* y z))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-r`
12×	`associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
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:

27.0ms	(* b (- (* c z) (* i a)))
26.0ms	(* j (- (* c t) (* i y)))
9.0ms	(* x (- (* t a)))
14.0ms	(* x (* y z))

series286.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* b (- (* c z) (* i a)))
108.0ms	(* j (- (* c t) (* i y)))
38.0ms	(* x (- (* t a)))
35.0ms	(* x (* y z))

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1564
1	470
0	174

prune1.3s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.3b

localize45.0ms

Local error

Found 4 expressions with local error:

4.4b	(* b (- (* c z) (* i a)))
4.8b	(* j (- (* c t) (* i y)))
5.9b	(* x (- (* t a)))
6.1b	(* (* x y) z)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
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:

21.0ms	(* b (- (* c z) (* i a)))
27.0ms	(* j (- (* c t) (* i y)))
10.0ms	(* x (- (* t a)))
14.0ms	(* (* x y) z)

series220.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* b (- (* c z) (* i a)))
83.0ms	(* j (- (* c t) (* i y)))
35.0ms	(* x (- (* t a)))
27.0ms	(* (* x y) z)

simplify1.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1591
1	477
0	178

prune1.3s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 5.3b

localize72.0ms

Local error

Found 4 expressions with local error:

4.4b	(* b (- (* c z) (* i a)))
4.8b	(* j (- (* c t) (* i y)))
5.0b	(* (* x t) (- a))
6.1b	(* (* x y) z)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

33.0ms	(* b (- (* c z) (* i a)))
20.0ms	(* j (- (* c t) (* i y)))
28.0ms	(* (* x t) (- a))
26.0ms	(* (* x y) z)

series283.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* b (- (* c z) (* i a)))
87.0ms	(* j (- (* c t) (* i y)))
51.0ms	(* (* x t) (- a))
45.0ms	(* (* x y) z)

simplify1.3s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1780
1	535
0	192

prune1.0s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 4.8b

regimes3.5s

Accuracy

24.4% (5.5b remaining)

Error of 11.0b against oracle of 5.5b and baseline of 12.8b

bsearch642.0ms

Steps

Iters	Range		Point
5	1.0310517839627737e-169	4.072438117046999e-169	1.844173000389606e-169
8	-8.432978736835507e+61	-4.5788686189869896e+57	-5.0135163267728945e+57

simplify25.0ms

Iterations

Iter	Nodes
done	84
3	84
2	83
1	77
0	49

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.7s

19112×

body

valid