Details

sample83.0ms

Algorithm

intervals

Results

36.0ms

599×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	290	29
4	677	29
5	1522	29
6	4421	29
done	5000	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c z) (* i a))
5.0b	(* j (- (* c t) (* i y)))
6.2b	(* x (- (* y z) (* t a)))
7.0b	(* b (- (* c z) (* i a)))

rewrite89.0ms

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`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

7.0ms	(- (* c z) (* i a))
26.0ms	(* j (- (* c t) (* i y)))
26.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* b (- (* c z) (* i a)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* c z) (* i a))
71.0ms	(* j (- (* c t) (* i y)))
73.0ms	(* x (- (* y z) (* t a)))
69.0ms	(* b (- (* c z) (* i a)))

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: 2 (160.0ms)

Iter	Nodes	Cost
0	167	1155
1	426	1141
2	1218	1007
3	4457	1007
done	5000	1007

prune385.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.6b

localize27.0ms

Local error

Found 4 expressions with local error:

4.8b	(* x (* z y))
4.9b	(* a (* x t))
5.0b	(* j (- (* c t) (* i y)))
7.0b	(* b (- (* c z) (* i a)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

15.0ms	(* x (* z y))
18.0ms	(* a (* x t))
25.0ms	(* j (- (* c t) (* i y)))
26.0ms	(* b (- (* c z) (* i a)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* x (* z y))
26.0ms	(* a (* x t))
72.0ms	(* j (- (* c t) (* i y)))
72.0ms	(* b (- (* c z) (* i a)))

simplify914.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (177.0ms)

Iter	Nodes	Cost
0	171	958
1	434	946
2	1366	806
done	5000	806

prune392.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.3b

localize27.0ms

Local error

Found 4 expressions with local error:

7.0b	(* b (- (* c z) (* i a)))
12.1b	(cbrt (* a (* x t)))
12.1b	(cbrt (* a (* x t)))
12.1b	(cbrt (* a (* x t)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

27.0ms	(* b (- (* c z) (* i a)))
10.0ms	(cbrt (* a (* x t)))
10.0ms	(cbrt (* a (* x t)))
11.0ms	(cbrt (* a (* x t)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* b (- (* c z) (* i a)))
95.0ms	(cbrt (* a (* x t)))
93.0ms	(cbrt (* a (* x t)))
93.0ms	(cbrt (* a (* x t)))

simplify959.0ms

Counts

63 → 63

Iterations

Useful iterations: done (958.0ms)

Iter	Nodes	Cost
0	102	701
1	245	689
2	661	607
3	2243	595
done	5000	553

prune360.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.3b

localize29.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (* b (- (* c z) (* i a))))
7.0b	(* b (- (* c z) (* i a)))
7.0b	(* b (- (* c z) (* i a)))
7.0b	(* b (- (* c z) (* i a)))

rewrite95.0ms

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) (* i a))))
26.0ms	(* b (- (* c z) (* i a)))
29.0ms	(* b (- (* c z) (* i a)))
27.0ms	(* b (- (* c z) (* i a)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (* b (- (* c z) (* i a))))
70.0ms	(* b (- (* c z) (* i a)))
74.0ms	(* b (- (* c z) (* i a)))
73.0ms	(* b (- (* c z) (* i a)))

simplify1.1s

Counts

95 → 95

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	103	1222
1	256	1206
2	722	1064
3	2436	1060
done	5000	1048

prune455.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.3b

regimes1.1s

Accuracy

34.7% (6.7b remaining)

Error of 9.4b against oracle of 2.7b and baseline of 13.0b

bsearch183.0ms

Steps

Iters	Range		Point
10	1.173179321774926e+34	1.340406932872948e+50	2.1802866772791254e+47
5	-2.8117591570043784e-25	-1.1132803033489927e-25	-2.5215708668196485e-25

simplify12.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	124
1	78	124
2	94	124
done	94	124

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s

19171×

body

valid