Details

sample68.0ms

Algorithm

intervals

Results

36.0ms

535×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	248	29
4	625	29
5	1579	29
6	3771	29
done	5000	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize20.0ms

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))))
4.0b	(* x (- (* y z) (* t a)))
5.2b	(* j (- (* c t) (* i y)))
6.2b	(* b (- (* c z) (* i a)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

30.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
10.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* j (- (* c t) (* i y)))
9.0ms	(* b (- (* c z) (* i a)))

series764.0ms

Counts

4 → 12

Calls

4 calls:

560.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
69.0ms	(* x (- (* y z) (* t a)))
69.0ms	(* j (- (* c t) (* i y)))
66.0ms	(* b (- (* c z) (* i a)))

simplify1.2s

Counts

119 → 119

Iterations

Useful iterations: 2 (312.0ms)

Iter	Nodes	Cost
0	273	3882
1	951	3622
2	4478	3492
done	5000	3492

prune544.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 3.9b

localize21.0ms

Local error

Found 4 expressions with local error:

3.9b	(* i (* j y))
4.0b	(* x (- (* y z) (* t a)))
4.5b	(* (* c t) j)
6.2b	(* b (- (* c z) (* i a)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
8×	`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`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* i (* j y))
9.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* (* c t) j)
9.0ms	(* b (- (* c z) (* i a)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* i (* j y))
63.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* (* c t) j)
63.0ms	(* b (- (* c z) (* i a)))

simplify623.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (142.0ms)

Iter	Nodes	Cost
0	175	961
1	448	947
2	1593	819
done	5000	819

prune403.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 2.5b

localize23.0ms

Local error

Found 4 expressions with local error:

4.0b	(* x (- (* y z) (* t a)))
4.5b	(* (* c t) j)
5.2b	(* b (- (* i a)))
6.8b	(* z (* b c))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

9.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* (* c t) j)
8.0ms	(* b (- (* i a)))
6.0ms	(* z (* b c))

series140.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* (* c t) j)
23.0ms	(* b (- (* i a)))
25.0ms	(* z (* b c))

simplify657.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (142.0ms)

Iter	Nodes	Cost
0	160	825
1	406	805
2	1595	684
done	5001	684

prune410.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 2.0b

localize217.0ms

Local error

Found 4 expressions with local error:

4.0b	(* x (- (* y z) (* t a)))
4.5b	(* (* c t) j)
5.1b	(* (* i b) (- a))
6.8b	(* z (* b c))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

9.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* (* c t) j)
8.0ms	(* (* i b) (- a))
6.0ms	(* z (* b c))

series145.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* x (- (* y z) (* t a)))
23.0ms	(* (* c t) j)
31.0ms	(* (* i b) (- a))
25.0ms	(* z (* b c))

simplify740.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (181.0ms)

Iter	Nodes	Cost
0	173	866
1	465	837
2	1810	707
done	5001	707

prune340.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 2.0b

regimes878.0ms

Accuracy

29.3% (7.8b remaining)

Error of 9.8b against oracle of 2.0b and baseline of 13.0b

bsearch179.0ms

Steps

Iters	Range		Point
8	4.4620128093752744e-05	0.890745416772027	0.015564147372555343
4	-1.1686082108106243e+181	-6.731560212538907e+180	-6.833466350363758e+180

simplify12.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	111
1	85	111
2	101	111
3	107	111
done	107	111

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19104×

body

valid