Details

sample193.0ms

Algorithm

intervals

Results

97.0ms

599×

body

valid

simplify2.7s

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

localize50.0ms

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)))

rewrite76.0ms

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))
22.0ms	(* b (- (* c z) (* i a)))
23.0ms	(* j (- (* c t) (* i y)))
21.0ms	(* x (- (* y z) (* t a)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* y z) (* t a))
81.0ms	(* b (- (* c z) (* i a)))
86.0ms	(* j (- (* c t) (* i y)))
94.0ms	(* x (- (* y z) (* t a)))

simplify1.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1438
1	457
0	166

prune1.3s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 8.8b

localize89.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-l`
12×	`associate-r`
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-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 88

Calls

4 calls:

21.0ms	(* b (- (* c z) (* i a)))
38.0ms	(* j (- (* c t) (* i y)))
18.0ms	(* (- (* t a)) x)
38.0ms	(* (* y z) x)

series268.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* b (- (* c z) (* i a)))
88.0ms	(* j (- (* c t) (* i y)))
35.0ms	(* (- (* t a)) x)
41.0ms	(* (* y z) x)

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5012
2	1582
1	475
0	175

prune1.5s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 5.3b

localize47.0ms

Local error

Found 4 expressions with local error:

4.4b	(* b (- (* c z) (* i a)))
4.8b	(* j (- (* c t) (* i y)))
4.9b	(* y (* z x))
5.9b	(* (- (* t a)) x)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

20.0ms	(* b (- (* c z) (* i a)))
49.0ms	(* j (- (* c t) (* i y)))
14.0ms	(* y (* z x))
9.0ms	(* (- (* t a)) x)

series247.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* b (- (* c z) (* i a)))
104.0ms	(* j (- (* c t) (* i y)))
29.0ms	(* y (* z x))
40.0ms	(* (- (* t a)) x)

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1493
1	464
0	176

prune1.2s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 5.3b

localize89.0ms

Local error

Found 4 expressions with local error:

4.4b	(* b (- (* c z) (* i a)))
4.8b	(* j (- (* c t) (* i y)))
4.9b	(* y (* z x))
6.1b	(* t (* (- a) x))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`*-un-lft-identity` `add-cube-cbrt`
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`
1×	`distribute-lft-neg-out` `distribute-rgt-neg-out`

Counts

4 → 85

Calls

4 calls:

25.0ms	(* b (- (* c z) (* i a)))
35.0ms	(* j (- (* c t) (* i y)))
17.0ms	(* y (* z x))
15.0ms	(* t (* (- a) x))

series268.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* b (- (* c z) (* i a)))
99.0ms	(* j (- (* c t) (* i y)))
41.0ms	(* y (* z x))
33.0ms	(* t (* (- a) x))

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1493
1	470
0	178

prune978.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 4.8b

regimes3.3s

Accuracy

46.1% (3.8b remaining)

Error of 9.4b against oracle of 5.5b and baseline of 12.6b

bsearch304.0ms

Steps

Iters	Range		Point
6	7.892450873194202e-96	3.8221044287111394e-95	3.770091383293643e-95
10	-4.0952205495533016e+34	-1.7017362125444333e+24	-3.6405603859118998e+31

simplify30.0ms

Iterations

Iter	Nodes
done	94
3	94
2	88
1	78
0	48

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.6s

19112×

body

valid