Details

sample64.0ms

Algorithm

intervals

Results

31.0ms

472×

body

valid

simplify17.9s

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	1511	19
7	1800	19
8	2321	19
9	3436	19
10	4136	19
11	4177	19
done	4177	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize18.0ms

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)
8.3b	(* (* (+ 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:

2.0ms	(+ (* x y) (* z t))
18.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
8.0ms	(* (+ a (* b c)) c)
12.0ms	(* (* (+ a (* b c)) c) i)

series742.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* x y) (* z t))
592.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
45.0ms	(* (+ a (* b c)) c)
64.0ms	(* (* (+ a (* b c)) c) i)

simplify633.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (159.0ms)

Iter	Nodes	Cost
0	147	1423
1	434	1333
2	1764	1231
done	5001	1231

prune302.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.8b

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

rewrite34.0ms

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

series725.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ a (* b c))
33.0ms	(+ (* x y) (* z t))
598.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* i c)))
64.0ms	(* (+ a (* b c)) (* i c))

simplify528.0ms

Counts

72 → 72

Iterations

Useful iterations: done (527.0ms)

Iter	Nodes	Cost
0	129	1315
1	403	1225
2	1589	1145
done	5001	1129

prune279.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.8b

localize18.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt (+ a (* b c)))
1.3b	(cbrt (+ a (* b c)))
1.3b	(cbrt (+ a (* b c)))
6.6b	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* i c))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

1.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
100.0ms	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* i c))

series395.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (+ a (* b c)))
115.0ms	(cbrt (+ a (* b c)))
110.0ms	(cbrt (+ a (* b c)))
61.0ms	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* i c))

simplify551.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (142.0ms)

Iter	Nodes	Cost
0	181	2490
1	484	2427
2	1494	1840
done	5001	1840

prune458.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.7b

localize23.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt (+ a (* b c)))
1.3b	(cbrt (+ a (* b c)))
2.5b	(* (cbrt (+ a (* b c))) (* i c))
3.5b	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* i c)))

rewrite63.0ms

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)))
1.0ms	(cbrt (+ a (* b c)))
11.0ms	(* (cbrt (+ a (* b c))) (* i c))
44.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* i c)))

series611.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (+ a (* b c)))
110.0ms	(cbrt (+ a (* b c)))
328.0ms	(* (cbrt (+ a (* b c))) (* i c))
64.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* i c)))

simplify787.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (161.0ms)

Iter	Nodes	Cost
0	187	3075
1	539	2930
2	1600	2398
done	5000	2398

prune411.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.7b

regimes685.0ms

Accuracy

0% (1.2b remaining)

Error of 2.1b against oracle of 1.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	34
1	30	34
done	30	34

end0.0ms

sample1.4s

Algorithm

intervals

Results

717.0ms

15148×

body

valid