Details

sample195.0ms

Algorithm

intervals

Results

108.0ms

568×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (252.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	333	28
4	1195	27
done	5001	27

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
2.9b	(* x (- (* y z) (* t a)))
5.3b	(* j (- (* c t) (* i y)))
5.3b	(* b (- (* c z) (* i a)))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-*r/`
19×	`flip3--` `flip--`
17×	`add-sqr-sqrt`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`frac-add`
11×	`sub-neg` `*-un-lft-identity` `prod-diff` `add-cube-cbrt`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`associate-+l+` `associate-r` `associate-l` `add-log-exp`
8×	`frac-sub`
6×	`associate-+r+` `associate--l+`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sum-log`
1×	`+-commutative` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 129

Calls

4 calls:

91.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
31.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* j (- (* c t) (* i y)))
40.0ms	(* b (- (* c z) (* i a)))

series1.2s

Counts

4 → 12

Calls

4 calls:

877.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
93.0ms	(* x (- (* y z) (* t a)))
119.0ms	(* j (- (* c t) (* i y)))
116.0ms	(* b (- (* c z) (* i a)))

simplify574.0ms

Counts

141 → 141

Iterations

Useful iterations: done (568.0ms)

Iter	Nodes	Cost
0	319	4255
1	1141	3841
done	5000	3690

prune1.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 1.5b

localize54.0ms

Local error

Found 4 expressions with local error:

2.9b	(* x (- (* y z) (* t a)))
3.9b	(* t (* j c))
4.7b	(* i (* y j))
5.3b	(* b (- (* c z) (* i a)))

rewrite81.0ms

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`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `prod-diff` `associate-r/` `-commutative` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

23.0ms	(* x (- (* y z) (* t a)))
13.0ms	(* t (* j c))
13.0ms	(* i (* y j))
30.0ms	(* b (- (* c z) (* i a)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (- (* y z) (* t a)))
45.0ms	(* t (* j c))
35.0ms	(* i (* y j))
100.0ms	(* b (- (* c z) (* i a)))

simplify943.0ms

Counts

108 → 108

Iterations

Useful iterations: done (940.0ms)

Iter	Nodes	Cost
0	196	1094
1	506	1082
2	2054	944
done	5000	936

prune1.2s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 1.3b

localize75.0ms

Local error

Found 4 expressions with local error:

3.9b	(* t (* j c))
4.3b	(* z (* b c))
4.3b	(* (- (* i a)) b)
4.7b	(* i (* y j))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`associate-l`
11×	`add-sqr-sqrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

21.0ms	(* t (* j c))
13.0ms	(* z (* b c))
9.0ms	(* (- (* i a)) b)
28.0ms	(* i (* y j))

series167.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* t (* j c))
34.0ms	(* z (* b c))
40.0ms	(* (- (* i a)) b)
46.0ms	(* i (* y j))

simplify1.0s

Counts

96 → 96

Iterations

Useful iterations: 2 (248.0ms)

Iter	Nodes	Cost
0	144	695
1	358	679
2	1722	567
done	5000	567

prune1.0s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 1.3b

localize60.0ms

Local error

Found 4 expressions with local error:

3.9b	(* t (* j c))
4.3b	(* (- (* i a)) b)
4.4b	(* (* z b) c)
4.7b	(* i (* y j))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-l`
11×	`add-sqr-sqrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

24.0ms	(* t (* j c))
16.0ms	(* (- (* i a)) b)
20.0ms	(* (* z b) c)
13.0ms	(* i (* y j))

series166.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* t (* j c))
35.0ms	(* (- (* i a)) b)
42.0ms	(* (* z b) c)
48.0ms	(* i (* y j))

simplify1.2s

Counts

96 → 96

Iterations

Useful iterations: 2 (292.0ms)

Iter	Nodes	Cost
0	147	698
1	372	680
2	2103	568
done	5001	568

prune940.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 1.3b

regimes2.9s

Accuracy

16.7% (9.6b remaining)

Error of 11.4b against oracle of 1.8b and baseline of 13.3b

bsearch171.0ms

Steps

Iters	Range		Point
10	2.725537376191261e-51	8.82571062969235e-39	6.571022213056124e-50

simplify17.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	76
1	71	76
2	81	76
3	87	76
done	87	76

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.9s

19330×

body

valid