Details

sample118.0ms

Algorithm

intervals

Results

74.0ms

586×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize81.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
3.3b	(* j (- (* c t) (* i y)))
4.9b	(* b (- (* c z) (* i a)))
4.9b	(* x (- (* y z) (* t a)))

rewrite136.0ms

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--` `insert-posit16` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 88

Calls

4 calls:

15.0ms	(- (* y z) (* t a))
29.0ms	(* j (- (* c t) (* i y)))
42.0ms	(* b (- (* c z) (* i a)))
48.0ms	(* x (- (* y z) (* t a)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* y z) (* t a))
102.0ms	(* j (- (* c t) (* i y)))
93.0ms	(* b (- (* c z) (* i a)))
109.0ms	(* x (- (* y z) (* t a)))

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	1405
1	457
0	170

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.8b

localize84.0ms

Local error

Found 4 expressions with local error:

3.3b	(* j (- (* c t) (* i y)))
4.9b	(* x (- (* y z) (* t a)))
5.8b	(* b (* c z))
5.9b	(* b (- (* i a)))

rewrite108.0ms

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` `insert-posit16` `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 → 92

Calls

4 calls:

31.0ms	(* j (- (* c t) (* i y)))
48.0ms	(* x (- (* y z) (* t a)))
15.0ms	(* b (* c z))
11.0ms	(* b (- (* i a)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* j (- (* c t) (* i y)))
122.0ms	(* x (- (* y z) (* t a)))
37.0ms	(* b (* c z))
48.0ms	(* b (- (* i a)))

simplify1.6s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1527
1	467
0	178

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.2b

localize81.0ms

Local error

Found 4 expressions with local error:

3.3b	(* j (- (* c t) (* i y)))
3.5b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (* c z)))
4.9b	(* x (- (* y z) (* t a)))
5.9b	(* b (- (* i a)))

rewrite635.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log`
21×	`add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`add-sqr-sqrt`
13×	`associate-r`
10×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `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 → 102

Calls

4 calls:

49.0ms	(* j (- (* c t) (* i y)))
513.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (* c z)))
40.0ms	(* x (- (* y z) (* t a)))
31.0ms	(* b (- (* i a)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* j (- (* c t) (* i y)))
116.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (* c z)))
142.0ms	(* x (- (* y z) (* t a)))
35.0ms	(* b (- (* i a)))

simplify1.8s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1885
1	540
0	200

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.2b

localize65.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
4.9b	(* x (- (* y z) (* t a)))
5.8b	(* b (* c z))
5.9b	(* b (- (* i a)))

rewrite155.0ms

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` `insert-posit16` `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 → 100

Calls

4 calls:

85.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
27.0ms	(* x (- (* y z) (* t a)))
19.0ms	(* b (* c z))
20.0ms	(* b (- (* i a)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
108.0ms	(* x (- (* y z) (* t a)))
65.0ms	(* b (* c z))
64.0ms	(* b (- (* i a)))

simplify1.9s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1859
1	554
0	196

prune1.0s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.0b

regimes2.1s

Accuracy

27.8% (5.9b remaining)

Error of 9.9b against oracle of 4.0b and baseline of 12.2b

bsearch398.0ms

Steps

Iters	Range		Point
7	5.2462248225077554e-226	3.079447629574003e-224	3.0298788442355306e-224
9	-1.7878892965255107e-15	-6.570144112701734e-23	-1.2880696392092357e-15

simplify28.0ms

Iterations

Iter	Nodes
done	109
3	109
2	99
1	81
0	48

end0.0ms

sample5.0s

Algorithm

intervals

Results

4.0s

18880×

body

valid