Details

sample124.0ms

Algorithm

intervals

Results

49.0ms

502×

body

valid

simplify11.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	201	29
3	580	29
4	1150	29
5	1744	29
6	2360	29
7	3087	29
8	3421	29
done	3421	29

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* a 4.0) t)
4.9b	(* (* (* x 18.0) y) z)
6.5b	(* (* (* (* x 18.0) y) z) t)

rewrite350.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

21.0ms	(* (* j 27.0) k)
20.0ms	(* (* a 4.0) t)
58.0ms	(* (* (* x 18.0) y) z)
246.0ms	(* (* (* (* x 18.0) y) z) t)

series151.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* j 27.0) k)
21.0ms	(* (* a 4.0) t)
38.0ms	(* (* (* x 18.0) y) z)
74.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: 2 (363.0ms)

Iter	Nodes	Cost
0	156	914
1	411	884
2	1873	678
done	5000	678

prune305.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
0.2b	(* (* a 4.0) t)
7.9b	(* (* (* x 18.0) y) (* z t))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 82

Calls

4 calls:

24.0ms	(* (* x 18.0) y)
21.0ms	(* (* j 27.0) k)
28.0ms	(* (* a 4.0) t)
74.0ms	(* (* (* x 18.0) y) (* z t))

series128.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* x 18.0) y)
23.0ms	(* (* j 27.0) k)
25.0ms	(* (* a 4.0) t)
52.0ms	(* (* (* x 18.0) y) (* z t))

simplify1.6s

Counts

94 → 94

Iterations

Useful iterations: 2 (373.0ms)

Iter	Nodes	Cost
0	155	905
1	405	875
2	1770	659
done	5001	659

prune419.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (+ (- (* (* (* x 18.0) y) (* z t)) (* a (* 4.0 t))) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
7.9b	(* (* (* x 18.0) y) (* z t))

rewrite11.1s

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`add-log-exp`
8×	`diff-log`
7×	`associate-r`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate--l+`
3×	`associate-l` `*-commutative`
2×	`sub-neg` `sum-log`
1×	`associate--l-` `flip3--` `flip--`

Counts

4 → 83

Calls

4 calls:

10.9s	(- (- (+ (- (* (* (* x 18.0) y) (* z t)) (* a (* 4.0 t))) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
28.0ms	(* (* x 18.0) y)
28.0ms	(* (* j 27.0) k)
105.0ms	(* (* (* x 18.0) y) (* z t))

series3.2s

Counts

4 → 12

Calls

4 calls:

3.1s	(- (- (+ (- (* (* (* x 18.0) y) (* z t)) (* a (* 4.0 t))) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
23.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
54.0ms	(* (* (* x 18.0) y) (* z t))

simplify1.3s

Counts

95 → 95

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	173	1511
1	439	1460
2	1918	1184
done	5000	1166

prune455.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))
7.9b	(* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) (* z t))

rewrite503.0ms

Algorithm

rewrite-expression-head

Rules

67×	`pow1`
62×	`add-exp-log`
46×	`pow-prod-down`
45×	`prod-exp` `cbrt-unprod`
42×	`add-cbrt-cube`
22×	`cbrt-prod` `add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1/3`
7×	`associate-r` `associate-l`
6×	`swap-sqr`
4×	`add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 108

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
17.0ms	(* (cbrt y) (cbrt y))
479.0ms	(* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) (* z t))

series746.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt y)
224.0ms	(cbrt y)
242.0ms	(* (cbrt y) (cbrt y))
100.0ms	(* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) (* z t))

simplify2.0s

Counts

120 → 120

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	154	1582
1	390	1315
2	1875	973
done	5001	805

prune545.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.5s

Accuracy

59.8% (2.5b remaining)

Error of 2.6b against oracle of 0.1b and baseline of 6.3b

bsearch3.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	61	163
1	88	163
done	88	163

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.5s

16082×

body

valid