Details

sample97.0ms

Algorithm

intervals

Results

58.0ms

637×

body

valid

simplify6.1s

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	677	29
5	1522	29
6	4416	29
done	5001	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
5.5b	(* x (- (* y z) (* t a)))
6.1b	(* j (- (* c a) (* y i)))
6.3b	(* b (- (* c z) (* t i)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`associate-*r/`
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`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`associate--l+` `frac-sub` `associate--r+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 96

Calls

4 calls:

38.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
27.0ms	(* x (- (* y z) (* t a)))
37.0ms	(* j (- (* c a) (* y i)))
46.0ms	(* b (- (* c z) (* t i)))

series527.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
86.0ms	(* x (- (* y z) (* t a)))
90.0ms	(* j (- (* c a) (* y i)))
94.0ms	(* b (- (* c z) (* t i)))

simplify1.1s

Counts

108 → 108

Iterations

Useful iterations: 2 (264.0ms)

Iter	Nodes	Cost
0	204	1903
1	590	1815
2	2140	1689
done	5000	1689

prune734.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.4b

localize57.0ms

Local error

Found 4 expressions with local error:

6.1b	(* j (- (* c a) (* y i)))
6.3b	(* b (- (* c z) (* t i)))
6.3b	(* b (- (* c z) (* t i)))
6.3b	(* b (- (* c z) (* t i)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
4×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

35.0ms	(* j (- (* c a) (* y i)))
39.0ms	(* b (- (* c z) (* t i)))
64.0ms	(* b (- (* c z) (* t i)))
52.0ms	(* b (- (* c z) (* t i)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* j (- (* c a) (* y i)))
109.0ms	(* b (- (* c z) (* t i)))
90.0ms	(* b (- (* c z) (* t i)))
90.0ms	(* b (- (* c z) (* t i)))

simplify1.8s

Counts

108 → 108

Iterations

Useful iterations: 2 (150.0ms)

Iter	Nodes	Cost
0	107	1316
1	272	1304
2	777	1144
3	2890	1144
done	5001	1144

prune850.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 7.1b

localize34.0ms

Local error

Found 4 expressions with local error:

5.7b	(cbrt (* b (- (* c z) (* t i))))
6.3b	(* b (- (* c z) (* t i)))
6.3b	(* b (- (* c z) (* t i)))
6.3b	(* b (- (* c z) (* t i)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

11.0ms	(cbrt (* b (- (* c z) (* t i))))
51.0ms	(* b (- (* c z) (* t i)))
33.0ms	(* b (- (* c z) (* t i)))
60.0ms	(* b (- (* c z) (* t i)))

series553.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (* b (- (* c z) (* t i))))
115.0ms	(* b (- (* c z) (* t i)))
127.0ms	(* b (- (* c z) (* t i)))
107.0ms	(* b (- (* c z) (* t i)))

simplify1.7s

Counts

95 → 95

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	103	1222
1	254	1206
2	719	1064
3	2442	1060
done	5000	1048

prune842.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 7.1b

localize41.0ms

Local error

Found 4 expressions with local error:

6.1b	(* j (- (* c a) (* y i)))
6.1b	(* j (- (* c a) (* y i)))
6.1b	(* j (- (* c a) (* y i)))
6.3b	(* b (- (* c z) (* t i)))

rewrite519.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
4×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

371.0ms	(* j (- (* c a) (* y i)))
44.0ms	(* j (- (* c a) (* y i)))
47.0ms	(* j (- (* c a) (* y i)))
54.0ms	(* b (- (* c z) (* t i)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* j (- (* c a) (* y i)))
109.0ms	(* j (- (* c a) (* y i)))
89.0ms	(* j (- (* c a) (* y i)))
98.0ms	(* b (- (* c z) (* t i)))

simplify1.5s

Counts

108 → 108

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	107	1316
1	272	1304
2	777	1144
3	2890	1144
done	5001	1144

prune610.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 7.1b

regimes1.5s

Accuracy

22.8% (5.9b remaining)

Error of 11.2b against oracle of 5.4b and baseline of 13.0b

bsearch246.0ms

Steps

Iters	Range		Point
8	6.307955789461622e-20	5.46161620568647e-16	5.444011925251251e-18
8	-7.392433932297986e+49	-9.367841760533262e+46	-1.5026519372559432e+49

simplify19.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	127
1	91	127
2	110	127
3	112	127
done	112	127

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.5s

19224×

body

valid