Details

sample117.0ms

Algorithm

intervals

Results

56.0ms

506×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	369
1	32	369
2	77	369
3	232	369
4	817	369
5	2821	369
done	5000	369

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize28.0ms

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)
6.6b	(* (* (+ a (* b c)) c) i)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

7.0ms	(+ a (* b c))
43.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
25.0ms	(* (+ a (* b c)) c)
27.0ms	(* (* (+ a (* b c)) c) i)

series1.1s

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ a (* b c))
909.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
71.0ms	(* (+ a (* b c)) c)
103.0ms	(* (* (+ a (* b c)) c) i)

simplify1.9s

Counts

81 → 81

Iterations

Useful iterations: 2 (600.0ms)

Iter	Nodes	Cost
0	147	26718
1	439	22483
2	2349	22163
done	5001	22243

prune606.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize26.0ms

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)) (* c i)))
6.7b	(* (+ a (* b c)) (* c i))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

12.0ms	(+ (* x y) (* z t))
6.0ms	(+ a (* b c))
41.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
20.0ms	(* (+ a (* b c)) (* c i))

series939.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (* x y) (* z t))
42.0ms	(+ a (* b c))
760.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
77.0ms	(* (+ a (* b c)) (* c i))

simplify1.6s

Counts

72 → 72

Iterations

Useful iterations: 2 (477.0ms)

Iter	Nodes	Cost
0	131	24926
1	406	21075
2	1991	20835
done	5000	20835

prune593.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

localize28.0ms

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)
6.6b	(* (* (+ a (* b c)) c) i)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

7.0ms	(+ a (* b c))
13.0ms	(+ (* x y) (- (* z t) (* (* (+ a (* b c)) c) i)))
15.0ms	(* (+ a (* b c)) c)
28.0ms	(* (* (+ a (* b c)) c) i)

series898.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ a (* b c))
708.0ms	(+ (* x y) (- (* z t) (* (* (+ a (* b c)) c) i)))
69.0ms	(* (+ a (* b c)) c)
90.0ms	(* (* (+ a (* b c)) c) i)

simplify1.3s

Counts

78 → 78

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	121	20213
1	329	17421
2	1699	17341
done	5000	17261

prune644.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

localize49.0ms

Local error

Found 4 expressions with local error:

6.6b	(* (* (+ a (* b c)) c) i)
11.1b	(cbrt (* (* (+ a (* b c)) c) i))
11.1b	(cbrt (* (* (+ a (* b c)) c) i))
11.1b	(cbrt (* (* (+ a (* b c)) c) i))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

26.0ms	(* (* (+ a (* b c)) c) i)
17.0ms	(cbrt (* (* (+ a (* b c)) c) i))
17.0ms	(cbrt (* (* (+ a (* b c)) c) i))
24.0ms	(cbrt (* (* (+ a (* b c)) c) i))

series689.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (* (+ a (* b c)) c) i)
195.0ms	(cbrt (* (* (+ a (* b c)) c) i))
203.0ms	(cbrt (* (* (+ a (* b c)) c) i))
195.0ms	(cbrt (* (* (+ a (* b c)) c) i))

simplify1.4s

Counts

65 → 65

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	127	25314
1	334	23044
2	1574	22724
done	5002	21757

prune683.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.5b

regimes2.6s

Accuracy

-31.9% (2.3b remaining)

Error of 2.6b against oracle of 0.3b and baseline of 2.1b

bsearch2.0ms

simplify19.0ms

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	37	1151
1	53	1151
2	55	1151
3	57	1151
done	57	1151

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s

15401×

body

valid