Details

sample38.0ms

Algorithm

intervals

Results

14.0ms

308×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	16	7
2	22	7
3	33	7
4	38	7
5	44	7
6	48	7
7	114	7
8	254	7
9	587	7
10	1391	7
11	3130	7
done	5001	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
15.6b	(/ (* x (+ y z)) z)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`pow1` `associate-r/` `associate-r*`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

48.0ms	(* x (+ y z))
29.0ms	(/ (* x (+ y z)) z)

series116.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* x (+ y z))
72.0ms	(/ (* x (+ y z)) z)

simplify1.6s

Counts

52 → 52

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	85	458
1	244	434
2	1285	382
done	5000	376

prune291.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
2.6b	(/ x (/ z (+ y z)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
16×	`distribute-lft-out`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 123

Calls

2 calls:

29.0ms	(/ z (+ y z))
34.0ms	(/ x (/ z (+ y z)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ z (+ y z))
81.0ms	(/ x (/ z (+ y z)))

simplify1.5s

Counts

129 → 129

Iterations

Useful iterations: 2 (451.0ms)

Iter	Nodes	Cost
0	187	1758
1	481	1648
2	2373	1564
done	5000	1564

prune772.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ y z) z)
2.9b	(* x (/ (+ y z) z))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
16×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
4×	`pow1` `associate-/l*`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+`

Counts

2 → 68

Calls

2 calls:

41.0ms	(/ (+ y z) z)
54.0ms	(* x (/ (+ y z) z))

series103.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (+ y z) z)
69.0ms	(* x (/ (+ y z) z))

simplify964.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (231.0ms)

Iter	Nodes	Cost
0	97	719
1	251	689
2	1057	623
done	5000	623

prune401.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (/ (+ y z) z)))
2.9b	(* x (/ (+ y z) z))
2.9b	(* x (/ (+ y z) z))
2.9b	(* x (/ (+ y z) z))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
48×	`associate-r`
46×	`add-sqr-sqrt`
39×	`times-frac`
31×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`associate-l` `distribute-lft-out`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`cbrt-prod` `cbrt-div` `pow1/3`

Counts

4 → 115

Calls

4 calls:

20.0ms	(cbrt (* x (/ (+ y z) z)))
55.0ms	(* x (/ (+ y z) z))
54.0ms	(* x (/ (+ y z) z))
59.0ms	(* x (/ (+ y z) z))

series480.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt (* x (/ (+ y z) z)))
72.0ms	(* x (/ (+ y z) z))
69.0ms	(* x (/ (+ y z) z))
65.0ms	(* x (/ (+ y z) z))

simplify897.0ms

Counts

127 → 127

Iterations

Useful iterations: done (891.0ms)

Iter	Nodes	Cost
0	104	1295
1	268	1240
2	1009	1085
done	5001	1079

prune859.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes429.0ms

Accuracy

83.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.1b

bsearch2.0ms

simplify15.0ms

Iterations

Useful iterations: done (14.0ms)

Iter	Nodes	Cost
0	22	75
1	28	69
2	31	63
3	34	63
done	34	62

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s

9594×

body

valid