Details

sample51.0ms

Algorithm

intervals

Results

21.0ms

444×

body

valid

simplify9.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	77	19
3	228	19
4	707	19
5	1495	19
6	1992	19
7	2251	19
8	2668	19
9	3141	19
10	3346	19
11	3407	19
done	3407	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

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:

8.0ms	(+ (* x y) (* z t))
44.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
18.0ms	(* (+ a (* b c)) c)
27.0ms	(* (* (+ a (* b c)) c) i)

series762.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x y) (* z t))
613.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
50.0ms	(* (+ a (* b c)) c)
64.0ms	(* (* (+ a (* b c)) c) i)

simplify789.0ms

Counts

81 → 81

Iterations

Useful iterations: done (785.0ms)

Iter	Nodes	Cost
0	147	1423
1	435	1333
2	1797	1231
done	5000	1215

prune266.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
7.0b	(* (+ a (* b c)) (* i c))

rewrite86.0ms

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:

5.0ms	(+ a (* b c))
7.0ms	(+ (* x y) (* z t))
46.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
25.0ms	(* (+ a (* b c)) (* i c))

series747.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ a (* b c))
34.0ms	(+ (* x y) (* z t))
620.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
63.0ms	(* (+ a (* b c)) (* i c))

simplify664.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (194.0ms)

Iter	Nodes	Cost
0	129	1315
1	404	1225
2	1662	1145
done	5000	1145

prune232.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.2b

localize17.0ms

Local error

Found 4 expressions with local error:

8.9b	(* (* (* (cbrt (* (+ a (* b c)) c)) (cbrt (* (+ a (* b c)) c))) (cbrt (* (+ a (* b c)) c))) i)
14.2b	(cbrt (* (+ a (* b c)) c))
14.2b	(cbrt (* (+ a (* b c)) c))
14.2b	(cbrt (* (+ a (* b c)) c))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

148.0ms	(* (* (* (cbrt (* (+ a (* b c)) c)) (cbrt (* (+ a (* b c)) c))) (cbrt (* (+ a (* b c)) c))) i)
9.0ms	(cbrt (* (+ a (* b c)) c))
8.0ms	(cbrt (* (+ a (* b c)) c))
8.0ms	(cbrt (* (+ a (* b c)) c))

series509.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (* (* (cbrt (* (+ a (* b c)) c)) (cbrt (* (+ a (* b c)) c))) (cbrt (* (+ a (* b c)) c))) i)
136.0ms	(cbrt (* (+ a (* b c)) c))
135.0ms	(cbrt (* (+ a (* b c)) c))
139.0ms	(cbrt (* (+ a (* b c)) c))

simplify2.5s

Counts

92 → 92

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	185	2439
1	445	2393
2	1278	1852
3	3668	1714
done	5000	1690

prune379.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 1.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) i) c))
2.0b	(* (+ a (* b c)) i)
5.8b	(* (* (+ a (* b c)) i) c)

rewrite99.0ms

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	(+ (* x y) (* z t))
46.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) i) c))
16.0ms	(* (+ a (* b c)) i)
28.0ms	(* (* (+ a (* b c)) i) c)

series762.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (* x y) (* z t))
606.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) i) c))
47.0ms	(* (+ a (* b c)) i)
67.0ms	(* (* (+ a (* b c)) i) c)

simplify821.0ms

Counts

81 → 81

Iterations

Useful iterations: done (819.0ms)

Iter	Nodes	Cost
0	147	1423
1	436	1333
2	1796	1231
done	5000	1215

prune266.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 1.2b

regimes924.0ms

Accuracy

0% (0.9b 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

sample1.5s

Algorithm

intervals

Results

653.0ms

15152×

body

valid