Details

sample86.0ms

Algorithm

intervals

Results

43.0ms

485×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	77	19
3	232	19
4	821	19
5	2802	19
done	5001	19

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
8.9b	(* (* (+ a (* b c)) c) i)

rewrite140.0ms

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:

7.0ms	(+ a (* b c))
70.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
27.0ms	(* (+ a (* b c)) c)
34.0ms	(* (* (+ a (* b c)) c) i)

series1.1s

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ a (* b c))
830.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
77.0ms	(* (+ a (* b c)) c)
106.0ms	(* (* (+ a (* b c)) c) i)

simplify1.5s

Counts

81 → 81

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	146	1383
1	439	1307
2	2342	1205
done	5001	1199

prune736.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
4.2b	(* (+ a (* b c)) (* i c))

rewrite127.0ms

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:

8.0ms	(+ (* x y) (* z t))
9.0ms	(+ a (* b c))
54.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
54.0ms	(* (+ a (* b c)) (* i c))

series947.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* x y) (* z t))
31.0ms	(+ a (* b c))
770.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
86.0ms	(* (+ a (* b c)) (* i c))

simplify926.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (286.0ms)

Iter	Nodes	Cost
0	129	1315
1	405	1225
2	1868	1145
done	5001	1145

prune513.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) i) c))
0.4b	(* (+ a (* b c)) i)
6.3b	(* (* (+ a (* b c)) i) c)

rewrite117.0ms

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:

6.0ms	(+ a (* b c))
52.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) i) c))
19.0ms	(* (+ a (* b c)) i)
37.0ms	(* (* (+ a (* b c)) i) c)

series1.1s

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ a (* b c))
859.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) i) c))
74.0ms	(* (+ a (* b c)) i)
91.0ms	(* (* (+ a (* b c)) i) c)

simplify1.6s

Counts

81 → 81

Iterations

Useful iterations: 2 (378.0ms)

Iter	Nodes	Cost
0	146	1383
1	440	1307
2	2451	1195
done	5001	1195

prune604.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
1.1b	(* (* (* (cbrt c) (cbrt c)) (* (+ a (* b c)) i)) (cbrt c))
5.4b	(* (* (cbrt c) (cbrt c)) (* (+ a (* b c)) i))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt c)
2.0ms	(cbrt c)
188.0ms	(* (* (* (cbrt c) (cbrt c)) (* (+ a (* b c)) i)) (cbrt c))
68.0ms	(* (* (cbrt c) (cbrt c)) (* (+ a (* b c)) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt c)
245.0ms	(cbrt c)
102.0ms	(* (* (* (cbrt c) (cbrt c)) (* (+ a (* b c)) i)) (cbrt c))
439.0ms	(* (* (cbrt c) (cbrt c)) (* (+ a (* b c)) i))

simplify2.3s

Counts

90 → 90

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	126	1348
1	393	1310
2	2312	919
done	5001	821

prune635.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.3b

regimes2.8s

Accuracy

0% (0.9b remaining)

Error of 1.7b against oracle of 0.8b and baseline of 1.7b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.5s

15191×

body

valid