Details

sample77.0ms

Algorithm

intervals

Results

40.0ms

625×

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	3731	29
done	5000	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
5.2b	(* b (- (* c z) (* i a)))
5.4b	(* j (- (* c t) (* i y)))
6.5b	(* x (- (* y z) (* t a)))

rewrite33.0ms

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:

2.0ms	(- (* y z) (* t a))
10.0ms	(* b (- (* c z) (* i a)))
9.0ms	(* j (- (* c t) (* i y)))
9.0ms	(* x (- (* y z) (* t a)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* y z) (* t a))
68.0ms	(* b (- (* c z) (* i a)))
64.0ms	(* j (- (* c t) (* i y)))
69.0ms	(* x (- (* y z) (* t a)))

simplify1.4s

Counts

96 → 96

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	166	1155
1	421	1141
2	1176	1007
3	3916	1007
done	5000	1007

prune417.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.2b

localize21.0ms

Local error

Found 4 expressions with local error:

5.2b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))
6.7b	(* i (* j y))
7.0b	(* t (* j c))

rewrite35.0ms

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:

9.0ms	(* b (- (* c z) (* i a)))
9.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* i (* j y))
6.0ms	(* t (* j c))

series186.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* b (- (* c z) (* i a)))
69.0ms	(* x (- (* y z) (* t a)))
24.0ms	(* i (* j y))
25.0ms	(* t (* j c))

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: 3 (762.0ms)

Iter	Nodes	Cost
0	171	958
1	436	946
2	1322	812
3	4562	806
done	5000	806

prune397.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.1b

localize22.0ms

Local error

Found 4 expressions with local error:

4.7b	(* (* t j) c)
5.2b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))
6.7b	(* i (* j y))

rewrite36.0ms

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	(* (* t j) c)
10.0ms	(* b (- (* c z) (* i a)))
12.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* i (* j y))

series186.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* t j) c)
67.0ms	(* b (- (* c z) (* i a)))
68.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* i (* j y))

simplify914.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (170.0ms)

Iter	Nodes	Cost
0	174	961
1	444	947
2	1443	807
done	5001	807

prune407.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.1b

localize31.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* (cbrt i) (cbrt i)) (* (cbrt i) (* j y)))
4.7b	(* (* t j) c)
5.2b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

25.0ms	(* (* (cbrt i) (cbrt i)) (* (cbrt i) (* j y)))
6.0ms	(* (* t j) c)
9.0ms	(* b (- (* c z) (* i a)))
9.0ms	(* x (- (* y z) (* t a)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* (cbrt i) (cbrt i)) (* (cbrt i) (* j y)))
26.0ms	(* (* t j) c)
68.0ms	(* b (- (* c z) (* i a)))
70.0ms	(* x (- (* y z) (* t a)))

simplify1.1s

Counts

106 → 106

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	192	1292
1	517	1266
2	1767	968
done	5000	964

prune397.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.1b

regimes1.1s

Accuracy

13.9% (7.9b remaining)

Error of 11.3b against oracle of 3.3b and baseline of 12.6b

bsearch219.0ms

Steps

Iters	Range		Point
9	2.039107012811407e-155	5.525767292787017e-148	1.419491066943148e-153
7	-1.3082634032399354e+36	-4.18080570056815e+34	-5.710542496751218e+34

simplify20.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	110
1	90	110
2	116	110
3	117	110
done	117	110

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19171×

body

valid