Details

sample137.0ms

Algorithm

intervals

Results

82.0ms

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

localize58.0ms

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)))

rewrite89.0ms

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:

8.0ms	(- (* y z) (* t a))
27.0ms	(* b (- (* c z) (* i a)))
21.0ms	(* j (- (* c t) (* i y)))
32.0ms	(* x (- (* y z) (* t a)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* y z) (* t a))
104.0ms	(* b (- (* c z) (* i a)))
88.0ms	(* j (- (* c t) (* i y)))
75.0ms	(* x (- (* y z) (* t a)))

simplify1.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1438
1	457
0	166

prune1.0s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 8.8b

localize42.0ms

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))

rewrite70.0ms

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:

20.0ms	(* b (- (* c z) (* i a)))
20.0ms	(* j (- (* c t) (* i y)))
9.0ms	(* x (- (* t a)))
19.0ms	(* x (* y z))

series208.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* b (- (* c z) (* i a)))
74.0ms	(* j (- (* c t) (* i y)))
30.0ms	(* x (- (* t a)))
30.0ms	(* x (* y z))

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1564
1	470
0	174

prune1.1s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.3b

localize67.0ms

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)

rewrite90.0ms

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:

26.0ms	(* b (- (* c z) (* i a)))
30.0ms	(* j (- (* c t) (* i y)))
13.0ms	(* x (- (* t a)))
20.0ms	(* (* x y) z)

series263.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* b (- (* c z) (* i a)))
101.0ms	(* j (- (* c t) (* i y)))
35.0ms	(* x (- (* t a)))
33.0ms	(* (* x y) z)

simplify1.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1591
1	477
0	178

prune1.1s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 5.3b

localize75.0ms

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)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`*-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`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`distribute-lft-neg-out` `distribute-rgt-neg-out`

Counts

4 → 85

Calls

4 calls:

20.0ms	(* b (- (* c z) (* i a)))
30.0ms	(* j (- (* c t) (* i y)))
25.0ms	(* (* x (- t)) a)
16.0ms	(* (* x y) z)

series212.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* b (- (* c z) (* i a)))
80.0ms	(* j (- (* c t) (* i y)))
32.0ms	(* (* x (- t)) a)
29.0ms	(* (* x y) z)

simplify1.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1667
1	499
0	181

prune912.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 4.9b

regimes3.1s

Accuracy

44.1% (4.1b remaining)

Error of 9.7b against oracle of 5.5b and baseline of 12.9b

bsearch289.0ms

Steps

Iters	Range		Point
6	7.892450873194202e-96	3.8221044287111394e-95	2.967077761808358e-95
7	-1.1822664460411437e-101	-7.935251438787805e-104	-6.152794873699225e-102

simplify20.0ms

Iterations

Iter	Nodes
done	98
3	98
2	94
1	81
0	51

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.5s

19112×

body

valid