Details

sample46.0ms

Algorithm

intervals

Results

20.0ms

463×

body

valid

simplify12.0s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize14.0ms

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)
7.9b	(* (* (+ a (* b c)) c) i)

rewrite41.0ms

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))
2.0ms	(+ (* x y) (* z t))
7.0ms	(* (+ a (* b c)) c)
12.0ms	(* (* (+ a (* b c)) c) i)

series747.0ms

Counts

4 → 12

Calls

4 calls:

601.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
34.0ms	(+ (* x y) (* z t))
48.0ms	(* (+ a (* b c)) c)
64.0ms	(* (* (+ a (* b c)) c) i)

simplify632.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (142.0ms)

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

prune280.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
0.0b	(+ (* x y) (* z t))
4.1b	(* (+ a (* b c)) (* i c))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

17.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
2.0ms	(+ (* x y) (* z t))
10.0ms	(* (+ a (* b c)) (* i c))

series675.0ms

Counts

3 → 9

Calls

3 calls:

577.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
36.0ms	(+ (* x y) (* z t))
63.0ms	(* (+ a (* b c)) (* i c))

simplify502.0ms

Counts

58 → 58

Iterations

Useful iterations: done (501.0ms)

Iter	Nodes	Cost
0	124	1195
1	406	1110
2	1635	1040
done	5000	1024

prune198.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (+ a (* b c)))
1.5b	(cbrt (+ a (* b c)))
1.6b	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* i c)))
1.8b	(* (cbrt (+ a (* b c))) (* i c))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
47.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* i c)))
12.0ms	(* (cbrt (+ a (* b c))) (* i c))

series604.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (+ a (* b c)))
111.0ms	(cbrt (+ a (* b c)))
62.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* i c)))
325.0ms	(* (cbrt (+ a (* b c))) (* i c))

simplify572.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (165.0ms)

Iter	Nodes	Cost
0	187	3075
1	541	2930
2	1672	2398
done	5001	2398

prune461.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.0b

localize22.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (+ a (* b c)) (* i c))
11.9b	(cbrt (* (+ a (* b c)) (* i c)))
11.9b	(cbrt (* (+ a (* b c)) (* i c)))
11.9b	(cbrt (* (+ a (* b c)) (* i c)))

rewrite29.0ms

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:

10.0ms	(* (+ 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)))

series472.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (+ a (* b c)) (* i c))
134.0ms	(cbrt (* (+ a (* b c)) (* i c)))
137.0ms	(cbrt (* (+ a (* b c)) (* i c)))
135.0ms	(cbrt (* (+ a (* b c)) (* i c)))

simplify1.5s

Counts

65 → 65

Iterations

Useful iterations: 3 (376.0ms)

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

prune307.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.0b

regimes807.0ms

Accuracy

0% (1.0b remaining)

Error of 1.8b against oracle of 0.8b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.4s

Algorithm

intervals

Results

700.0ms

15157×

body

valid