Details

sample51.0ms

Algorithm

intervals

Results

25.0ms

499×

body

valid

simplify9.2s

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	545	19
5	1071	19
6	1522	19
7	1807	19
8	2332	19
9	3451	19
10	4204	19
11	4280	19
done	4280	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(+ (* x y) (* z t))
0.1b	(* (+ a (* b c)) c)
8.3b	(* (* (+ a (* b c)) c) i)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

2.0ms	(+ a (* b c))
2.0ms	(+ (* x y) (* z t))
7.0ms	(* (+ a (* b c)) c)
18.0ms	(* (* (+ a (* b c)) c) i)

series173.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ a (* b c))
32.0ms	(+ (* x y) (* z t))
49.0ms	(* (+ a (* b c)) c)
62.0ms	(* (* (+ a (* b c)) c) i)

simplify2.1s

Counts

74 → 74

Iterations

Useful iterations: 3 (982.0ms)

Iter	Nodes	Cost
0	115	798
1	315	780
2	1124	670
3	4256	662
done	5000	662

prune248.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
0.0b	(+ (* x y) (* z t))
4.0b	(* (+ a (* b c)) (* c i))

rewrite33.0ms

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

series684.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ a (* b c))
561.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
32.0ms	(+ (* x y) (* z t))
61.0ms	(* (+ a (* b c)) (* c i))

simplify653.0ms

Counts

72 → 72

Iterations

Useful iterations: done (651.0ms)

Iter	Nodes	Cost
0	130	1315
1	403	1225
2	1586	1145
done	5000	1129

prune257.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

4.0b	(* (+ a (* b c)) (* c i))
11.3b	(cbrt (* (+ a (* b c)) (* c i)))
11.3b	(cbrt (* (+ a (* b c)) (* c i)))
11.3b	(cbrt (* (+ a (* b c)) (* c i)))

rewrite28.0ms

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)) (* c i))
5.0ms	(cbrt (* (+ a (* b c)) (* c i)))
5.0ms	(cbrt (* (+ a (* b c)) (* c i)))
6.0ms	(cbrt (* (+ a (* b c)) (* c i)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (+ a (* b c)) (* c i))
131.0ms	(cbrt (* (+ a (* b c)) (* c i)))
129.0ms	(cbrt (* (+ a (* b c)) (* c i)))
132.0ms	(cbrt (* (+ a (* b c)) (* c i)))

simplify1.7s

Counts

65 → 65

Iterations

Useful iterations: 3 (575.0ms)

Iter	Nodes	Cost
0	123	1082
1	321	1058
2	990	935
3	3728	897
done	5001	897

prune357.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

4.0b	(* (+ a (* b c)) (* c i))
11.0b	(cbrt (* c i))
11.3b	(cbrt (* (+ a (* b c)) (* c i)))
11.3b	(cbrt (* (+ a (* b c)) (* c i)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

10.0ms	(* (+ a (* b c)) (* c i))
1.0ms	(cbrt (* c i))
6.0ms	(cbrt (* (+ a (* b c)) (* c i)))
8.0ms	(cbrt (* (+ a (* b c)) (* c i)))

series400.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (+ a (* b c)) (* c i))
63.0ms	(cbrt (* c i))
138.0ms	(cbrt (* (+ a (* b c)) (* c i)))
134.0ms	(cbrt (* (+ a (* b c)) (* c i)))

simplify1.6s

Counts

63 → 63

Iterations

Useful iterations: 3 (615.0ms)

Iter	Nodes	Cost
0	141	904
1	359	884
2	1056	772
3	3852	733
done	5001	733

prune341.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.3b

regimes833.0ms

Accuracy

0% (0.9b remaining)

Error of 1.8b against oracle of 0.9b 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

738.0ms

15330×

body

valid