Details

sample66.0ms

Algorithm

intervals

Results

34.0ms

535×

body

valid

simplify3.8s

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

localize21.0ms

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)))

rewrite66.0ms

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:

32.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
10.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* j (- (* c t) (* i y)))
10.0ms	(* b (- (* c z) (* i a)))

series796.0ms

Counts

4 → 12

Calls

4 calls:

588.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
70.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* j (- (* c t) (* i y)))
71.0ms	(* b (- (* c z) (* i a)))

simplify1.4s

Counts

119 → 119

Iterations

Useful iterations: 2 (331.0ms)

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

prune569.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 3.9b

localize25.0ms

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)))

rewrite38.0ms

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))
10.0ms	(* x (- (* y z) (* t a)))
7.0ms	(* (* c t) j)
12.0ms	(* b (- (* c z) (* i a)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* i (* j y))
77.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* (* c t) j)
80.0ms	(* b (- (* c z) (* i a)))

simplify693.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (153.0ms)

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

prune438.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 2.5b

localize32.0ms

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:

10.0ms	(* x (- (* y z) (* t a)))
7.0ms	(* (* c t) j)
5.0ms	(* b (- (* i a)))
6.0ms	(* z (* b c))

series154.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* (* c t) j)
26.0ms	(* b (- (* i a)))
26.0ms	(* z (* b c))

simplify715.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (152.0ms)

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

prune426.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 2.0b

localize27.0ms

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))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

10.0ms	(* x (- (* y z) (* t a)))
7.0ms	(* (* c t) j)
9.0ms	(* (* (- i) b) a)
6.0ms	(* z (* b c))

series167.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* x (- (* y z) (* t a)))
26.0ms	(* (* c t) j)
29.0ms	(* (* (- i) b) a)
33.0ms	(* z (* b c))

simplify743.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	162	817
1	429	793
2	1645	663
done	5000	663

prune348.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 2.0b

regimes995.0ms

Accuracy

29.3% (7.8b remaining)

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

bsearch190.0ms

Steps

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

simplify19.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	111
1	84	111
2	104	111
3	108	111
done	108	111

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19104×

body

valid