Details

sample141.0ms

Algorithm

intervals

Results

86.0ms

675×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	953
3	290
2	96
1	43
0	23

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize72.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c a) (* y i))
4.8b	(* b (- (* c z) (* t i)))
5.1b	(* x (- (* y z) (* t a)))
5.3b	(* j (- (* c a) (* y i)))

rewrite86.0ms

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:

10.0ms	(- (* c a) (* y i))
27.0ms	(* b (- (* c z) (* t i)))
23.0ms	(* x (- (* y z) (* t a)))
22.0ms	(* j (- (* c a) (* y i)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (* c a) (* y i))
95.0ms	(* b (- (* c z) (* t i)))
91.0ms	(* x (- (* y z) (* t a)))
101.0ms	(* j (- (* c a) (* y i)))

simplify1.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1846
1	458
0	167

prune1.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 7.8b

localize67.0ms

Local error

Found 4 expressions with local error:

4.8b	(* b (- (* c z) (* t i)))
5.2b	(* x (- (* t a)))
5.2b	(* x (* y z))
5.3b	(* j (- (* c a) (* y i)))

rewrite111.0ms

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:

30.0ms	(* b (- (* c z) (* t i)))
9.0ms	(* x (- (* t a)))
14.0ms	(* x (* y z))
53.0ms	(* j (- (* c a) (* y i)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* b (- (* c z) (* t i)))
39.0ms	(* x (- (* t a)))
47.0ms	(* x (* y z))
114.0ms	(* j (- (* c a) (* y i)))

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	2017
1	479
0	174

prune1.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.7b

localize90.0ms

Local error

Found 4 expressions with local error:

4.8b	(* b (- (* c z) (* t i)))
5.1b	(* t (- (* a x)))
5.2b	(* x (* y z))
5.3b	(* j (- (* c a) (* y i)))

rewrite141.0ms

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:

41.0ms	(* b (- (* c z) (* t i)))
17.0ms	(* t (- (* a x)))
25.0ms	(* x (* y z))
53.0ms	(* j (- (* c a) (* y i)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* b (- (* c z) (* t i)))
51.0ms	(* t (- (* a x)))
43.0ms	(* x (* y z))
107.0ms	(* j (- (* c a) (* y i)))

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	2007
1	487
0	180

prune1.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.1b

localize70.0ms

Local error

Found 4 expressions with local error:

3.2b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
4.8b	(* b (- (* c z) (* t i)))
5.2b	(* x (- (* t a)))
5.2b	(* x (* y z))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log`
19×	`add-cbrt-cube`
13×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`associate-r`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`sub-neg` `associate-*r/`
4×	`*-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 96

Calls

4 calls:

50.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
20.0ms	(* b (- (* c z) (* t i)))
10.0ms	(* x (- (* t a)))
27.0ms	(* x (* y z))

series287.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
87.0ms	(* b (- (* c z) (* t i)))
34.0ms	(* x (- (* t a)))
29.0ms	(* x (* y z))

simplify1.7s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	2246
1	562
0	192

prune896.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 5.1b

regimes2.7s

Accuracy

16.3% (5.4b remaining)

Error of 11.3b against oracle of 5.9b and baseline of 12.4b

bsearch326.0ms

Steps

Iters	Range		Point
7	3.427004939762234e+153	3.961513984009801e+155	7.119702239955606e+153
3	-1.290890478970277e+176	-1.0682681913005994e+176	-1.08141462104783e+176

simplify30.0ms

Iterations

Iter	Nodes
done	85
3	85
2	83
1	72
0	42

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.5s

19377×

body

valid