Details

sample107.0ms

Algorithm

intervals

Results

45.0ms

513×

body

valid

simplify8.5s

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

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: 7.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
3.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.8b	(* (* (* x 18.0) y) z)

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

17.0ms	(* (* x 18.0) y)
16.0ms	(* (* j 27.0) k)
195.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
53.0ms	(* (* (* x 18.0) y) z)

series178.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
113.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: 2 (245.0ms)

Iter	Nodes	Cost
0	158	1015
1	402	980
2	1642	822
done	5000	822

prune341.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* t (* x (* z y))))
0.2b	(* (* j 27.0) k)
5.4b	(* x (* z y))
6.5b	(* t (* x (* z y)))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

97.0ms	(* 18.0 (* t (* x (* z y))))
17.0ms	(* (* j 27.0) k)
15.0ms	(* x (* z y))
40.0ms	(* t (* x (* z y)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* 18.0 (* t (* x (* z y))))
18.0ms	(* (* j 27.0) k)
26.0ms	(* x (* z y))
47.0ms	(* t (* x (* z y)))

simplify981.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (168.0ms)

Iter	Nodes	Cost
0	124	901
1	311	877
2	1311	671
done	5000	671

prune317.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* 18.0 (* (* t x) (* z y))) (* (- (* a 4.0)) t)) (* b c))
0.2b	(* 18.0 (* (* t x) (* z y)))
0.2b	(* (* j 27.0) k)
9.3b	(* (* t x) (* z y))

rewrite440.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r` `associate-l`
3×	`sum-log` `*-commutative`
2×	`distribute-lft-neg-out` `associate-+l-`
1×	`+-commutative` `associate-+l+` `flip3-+` `unsub-neg` `flip-+`

Counts

4 → 82

Calls

4 calls:

327.0ms	(+ (+ (* 18.0 (* (* t x) (* z y))) (* (- (* a 4.0)) t)) (* b c))
67.0ms	(* 18.0 (* (* t x) (* z y)))
17.0ms	(* (* j 27.0) k)
25.0ms	(* (* t x) (* z y))

series319.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(+ (+ (* 18.0 (* (* t x) (* z y))) (* (- (* a 4.0)) t)) (* b c))
48.0ms	(* 18.0 (* (* t x) (* z y)))
18.0ms	(* (* j 27.0) k)
49.0ms	(* (* t x) (* z y))

simplify942.0ms

Counts

94 → 94

Iterations

Useful iterations: done (939.0ms)

Iter	Nodes	Cost
0	157	1297
1	432	1264
2	1914	998
done	5000	950

prune299.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* (* (* t x) z) y))
0.2b	(* (* j 27.0) k)
3.5b	(* (* t x) z)
5.8b	(* (* (* t x) z) y)

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

136.0ms	(* 18.0 (* (* (* t x) z) y))
16.0ms	(* (* j 27.0) k)
16.0ms	(* (* t x) z)
53.0ms	(* (* (* t x) z) y)

series143.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* 18.0 (* (* (* t x) z) y))
18.0ms	(* (* j 27.0) k)
27.0ms	(* (* t x) z)
45.0ms	(* (* (* t x) z) y)

simplify1.0s

Counts

93 → 93

Iterations

Useful iterations: 2 (216.0ms)

Iter	Nodes	Cost
0	132	911
1	337	883
2	1600	677
done	5001	677

prune304.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes1.2s

Accuracy

65% (1.5b remaining)

Error of 2.1b against oracle of 0.6b and baseline of 4.9b

bsearch493.0ms

Steps

Iters	Range		Point
10	1.3138081308417127e-95	4.0075710682488324e-84	8.516527818885921e-88
9	-1.5450132315775554e+78	-6.489535339326009e+71	-6.580977851776064e+71

simplify15.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	52	103
1	86	101
2	92	101
3	93	101
done	93	101

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.0s

16106×

body

valid