Details

sample223.0ms

Algorithm

intervals

Results

111.0ms

642×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	290	29
4	969	29
done	5000	29

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize75.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
4.1b	(* j (- (* c a) (* y i)))
5.6b	(* b (- (* c z) (* t i)))
6.7b	(* x (- (* y z) (* t a)))

rewrite313.0ms

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:

147.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
49.0ms	(* j (- (* c a) (* y i)))
52.0ms	(* b (- (* c z) (* t i)))
57.0ms	(* x (- (* y z) (* t a)))

series1.8s

Counts

4 → 12

Calls

4 calls:

1.4s	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
116.0ms	(* j (- (* c a) (* y i)))
138.0ms	(* b (- (* c z) (* t i)))
114.0ms	(* x (- (* y z) (* t a)))

simplify745.0ms

Counts

119 → 119

Iterations

Useful iterations: done (739.0ms)

Iter	Nodes	Cost
0	275	3882
1	1003	3622
done	5000	3494

prune1.5s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.5b

localize98.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.1b	(* j (- (* c a) (* y i)))
4.2b	(* (cbrt x) (- (* y z) (* t a)))
5.6b	(* b (- (* c z) (* t i)))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

117.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
48.0ms	(* j (- (* c a) (* y i)))
69.0ms	(* (cbrt x) (- (* y z) (* t a)))
49.0ms	(* b (- (* c z) (* t i)))

series885.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
122.0ms	(* j (- (* c a) (* y i)))
463.0ms	(* (cbrt x) (- (* y z) (* t a)))
128.0ms	(* b (- (* c z) (* t i)))

simplify3.0s

Counts

120 → 120

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	208	1843
1	616	1816
2	3247	1436
done	5001	1298

prune1.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.2b

localize91.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (cbrt x) (cbrt x)) (+ (* (* z (cbrt x)) y) (- (* (* t a) (cbrt x)))))
3.7b	(* (* t a) (cbrt x))
4.1b	(* j (- (* c a) (* y i)))
5.6b	(* b (- (* c z) (* t i)))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
16×	`add-sqr-sqrt`
15×	`associate-r`
14×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`sub-neg` `*-commutative` `add-log-exp`
3×	`cbrt-prod` `unswap-sqr`
2×	`flip3--` `flip--`
1×	`flip3-+` `flip-+`

Counts

4 → 92

Calls

4 calls:

169.0ms	(* (* (cbrt x) (cbrt x)) (+ (* (* z (cbrt x)) y) (- (* (* t a) (cbrt x)))))
41.0ms	(* (* t a) (cbrt x))
49.0ms	(* j (- (* c a) (* y i)))
64.0ms	(* b (- (* c z) (* t i)))

series1.1s

Counts

4 → 12

Calls

4 calls:

769.0ms	(* (* (cbrt x) (cbrt x)) (+ (* (* z (cbrt x)) y) (- (* (* t a) (cbrt x)))))
134.0ms	(* (* t a) (cbrt x))
120.0ms	(* j (- (* c a) (* y i)))
115.0ms	(* b (- (* c z) (* t i)))

simplify3.8s

Counts

104 → 104

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	208	1514
1	647	1463
2	3810	1208
done	5000	1193

prune1.5s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.2b

localize94.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (- (* (* z (cbrt x)) y) (* (* t a) (cbrt x))) (cbrt x))
3.7b	(* (* t a) (cbrt x))
4.1b	(* j (- (* c a) (* y i)))
5.6b	(* b (- (* c z) (* t i)))

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-exp-log`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-cbrt-cube`
10×	`associate-l`
7×	`cbrt-prod`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp` `unswap-sqr`
3×	`flip3--` `flip--`
2×	`associate-*l/`

Counts

4 → 93

Calls

4 calls:

163.0ms	(* (- (* (* z (cbrt x)) y) (* (* t a) (cbrt x))) (cbrt x))
41.0ms	(* (* t a) (cbrt x))
54.0ms	(* j (- (* c a) (* y i)))
68.0ms	(* b (- (* c z) (* t i)))

series1.3s

Counts

4 → 12

Calls

4 calls:

891.0ms	(* (- (* (* z (cbrt x)) y) (* (* t a) (cbrt x))) (cbrt x))
140.0ms	(* (* t a) (cbrt x))
126.0ms	(* j (- (* c a) (* y i)))
134.0ms	(* b (- (* c z) (* t i)))

simplify2.0s

Counts

105 → 105

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	207	1433
1	574	1388
2	2730	1222
done	5001	1216

prune1.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.2b

regimes3.7s

Accuracy

27.5% (6.8b remaining)

Error of 9.5b against oracle of 2.7b and baseline of 12.1b

bsearch422.0ms

Steps

Iters	Range		Point
10	7.908501255901637e-22	0.00012009239443109205	3.3556151642266224e-05
5	-7.773010243359408e-70	-3.514066727872466e-70	-7.670814752764665e-70

simplify22.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	58	127
1	96	127
2	111	127
done	111	127

end0.0ms

sample6.3s

Algorithm

intervals

Results

4.1s

18945×

body

valid