Details

sample49.0ms

Algorithm

intervals

Results

22.0ms

503×

body

valid

simplify12.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	75	19
3	201	19
4	550	19
5	1151	19
6	1657	19
7	1984	19
8	2572	19
9	3747	19
done	5000	19

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.0b	(+ (* x y) (* z t))
0.1b	(* (+ a (* b c)) c)
9.2b	(* (* (+ a (* b c)) c) i)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod`
2×	`diff-log` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

18.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
3.0ms	(+ (* x y) (* z t))
7.0ms	(* (+ a (* b c)) c)
12.0ms	(* (* (+ a (* b c)) c) i)

series748.0ms

Counts

4 → 12

Calls

4 calls:

605.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
36.0ms	(+ (* x y) (* z t))
45.0ms	(* (+ a (* b c)) c)
61.0ms	(* (* (+ a (* b c)) c) i)

simplify644.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (144.0ms)

Iter	Nodes	Cost
0	147	1423
1	445	1333
2	1895	1231
done	5001	1231

prune285.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
0.0b	(+ (* x y) (* z t))
4.5b	(* (+ a (* b c)) (* i c))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

2.0ms	(+ a (* b c))
19.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
2.0ms	(+ (* x y) (* z t))
11.0ms	(* (+ a (* b c)) (* i c))

series714.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ a (* b c))
587.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
34.0ms	(+ (* x y) (* z t))
62.0ms	(* (+ a (* b c)) (* i c))

simplify521.0ms

Counts

72 → 72

Iterations

Useful iterations: done (519.0ms)

Iter	Nodes	Cost
0	129	1315
1	418	1225
2	1649	1145
done	5000	1129

prune248.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.7b	(cbrt (+ a (* b c)))
1.7b	(cbrt (+ a (* b c)))
1.7b	(cbrt (+ a (* b c)))
2.9b	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* i c)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
25×	`pow1` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 93

Calls

4 calls:

2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
49.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* i c)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (+ a (* b c)))
110.0ms	(cbrt (+ a (* b c)))
115.0ms	(cbrt (+ a (* b c)))
60.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* i c)))

simplify545.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	169	2969
1	492	2819
2	1567	2303
done	5001	2303

prune428.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.0b

localize22.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (+ a (* b c)) (* i c))
10.5b	(cbrt (* (+ a (* b c)) (* i c)))
10.5b	(cbrt (* (+ a (* b c)) (* i c)))
10.5b	(cbrt (* (+ a (* b c)) (* i c)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`cbrt-div`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 53

Calls

4 calls:

11.0ms	(* (+ a (* b c)) (* i c))
6.0ms	(cbrt (* (+ a (* b c)) (* i c)))
6.0ms	(cbrt (* (+ a (* b c)) (* i c)))
6.0ms	(cbrt (* (+ a (* b c)) (* i c)))

series480.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (+ a (* b c)) (* i c))
137.0ms	(cbrt (* (+ a (* b c)) (* i c)))
143.0ms	(cbrt (* (+ a (* b c)) (* i c)))
136.0ms	(cbrt (* (+ a (* b c)) (* i c)))

simplify1.5s

Counts

65 → 65

Iterations

Useful iterations: 3 (379.0ms)

Iter	Nodes	Cost
0	122	1082
1	321	1058
2	1037	935
3	4002	897
done	5000	897

prune314.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 1.0b

regimes695.0ms

Accuracy

0% (0.9b remaining)

Error of 1.6b against oracle of 0.7b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	26	19
done	26	19

end0.0ms

sample1.3s

Algorithm

intervals

Results

685.0ms

15160×

body

valid