Details

sample58.0ms

Algorithm

intervals

Results

25.0ms

389×

body

valid

simplify127.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	56	13
3	96	13
4	123	13
5	127	13
done	127	13

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.1b	(* (* a z) b)

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

11.0ms	(+ x (* y z))
141.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
28.0ms	(* (* a z) b)

series190.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (* y z))
129.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
35.0ms	(* (* a z) b)

simplify1.1s

Counts

52 → 52

Iterations

Useful iterations: 2 (237.0ms)

Iter	Nodes	Cost
0	98	635
1	284	603
2	1629	513
done	5002	513

prune166.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.5b	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
4.8b	(* (* (cbrt b) (cbrt b)) (* a z))

rewrite172.0ms

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`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
126.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
42.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

series749.0ms

Counts

4 → 12

Calls

4 calls:

282.0ms	(cbrt b)
227.0ms	(cbrt b)
79.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
162.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

simplify1.3s

Counts

86 → 86

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	96	933
1	278	897
2	1731	635
done	5000	519

prune315.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a (+ t (* z b))) (+ x (* y z)))
0.0b	(+ t (* z b))
0.0b	(+ x (* y z))
2.7b	(* a (+ t (* z b)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
8×	`add-sqr-sqrt` `flip3-+` `flip-+`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r/` `add-cbrt-cube`
5×	`sum-log`
4×	`frac-add`
3×	`+-commutative` `associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

36.0ms	(+ (* a (+ t (* z b))) (+ x (* y z)))
8.0ms	(+ t (* z b))
8.0ms	(+ x (* y z))
26.0ms	(* a (+ t (* z b)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(+ (* a (+ t (* z b))) (+ x (* y z)))
31.0ms	(+ t (* z b))
41.0ms	(+ x (* y z))
73.0ms	(* a (+ t (* z b)))

simplify859.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (227.0ms)

Iter	Nodes	Cost
0	123	1096
1	415	1018
2	1886	960
done	5000	960

prune303.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* y z)))
0.6b	(cbrt (+ x (* y z)))
0.6b	(* (cbrt (+ x (* y z))) (cbrt (+ x (* y z))))
6.1b	(* (* a z) b)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`pow1` `cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log`
9×	`associate-r` `add-cbrt-cube`
8×	`flip3-+` `pow1/3` `flip-+`
7×	`associate-l`
6×	`swap-sqr`
5×	`pow-prod-down`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 92

Calls

4 calls:

4.0ms	(cbrt (+ x (* y z)))
5.0ms	(cbrt (+ x (* y z)))
49.0ms	(* (cbrt (+ x (* y z))) (cbrt (+ x (* y z))))
25.0ms	(* (* a z) b)

series451.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (+ x (* y z)))
156.0ms	(cbrt (+ x (* y z)))
130.0ms	(* (cbrt (+ x (* y z))) (cbrt (+ x (* y z))))
36.0ms	(* (* a z) b)

simplify1.1s

Counts

104 → 104

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	166	1586
1	425	1461
2	1929	1349
done	5000	1276

prune470.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes283.0ms

Accuracy

35.4% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.3b

bsearch77.0ms

Steps

Iters	Range		Point
8	-1.127186859844483e+68	-3.6946901717909066e+63	-6.5496085093172725e+65

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	39
1	35	39
done	35	39

end0.0ms

sample1.9s

Algorithm

intervals

Results

748.0ms

11873×

body

valid