Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

300×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 7 (32.0ms)

Iter	Nodes	Cost
0	6	7
1	16	7
2	24	7
3	37	7
4	44	7
5	50	7
6	54	7
7	76	6
8	275	6
9	1563	6
done	5001	6

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

6.4b	(fma y (/ x z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma y (/ x z) x)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(fma y (/ x z) x)

simplify902.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	18	110
1	25	107
2	54	95
3	136	95
4	449	95
5	1754	95
done	5000	95

prune32.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* x y) z) x)
6.4b	(/ (* x y) z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`add-exp-log` `fma-def` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
4×	`add-log-exp`
3×	`associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate-/l*`

Counts

2 → 44

Calls

2 calls:

8.0ms	(+ (/ (* x y) z) x)
3.0ms	(/ (* x y) z)

series49.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (/ (* x y) z) x)
19.0ms	(/ (* x y) z)

simplify1.2s

Counts

50 → 50

Iterations

Useful iterations: 3 (286.0ms)

Iter	Nodes	Cost
0	71	387
1	189	364
2	687	332
3	3063	312
done	5000	312

prune104.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x (/ z y)) x)
4.5b	(/ x (/ z y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
81×	`*-un-lft-identity`
79×	`add-sqr-sqrt` `add-cube-cbrt`
44×	`fma-def`
13×	`associate-/r*`
9×	`div-inv`
7×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `distribute-lft-out`

Counts

2 → 130

Calls

2 calls:

34.0ms	(+ (/ x (/ z y)) x)
5.0ms	(/ x (/ z y))

series52.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (/ x (/ z y)) x)
25.0ms	(/ x (/ z y))

simplify770.0ms

Counts

136 → 136

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	174	1081
1	399	996
2	1534	940
done	5000	940

prune350.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

2.7b	(fma (/ x 1) (/ y z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ x 1) (/ y z) x)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(fma (/ x 1) (/ y z) x)

simplify735.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	20	136
1	33	107
2	85	95
3	262	95
4	1021	95
done	5000	95

prune25.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

41.9% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	23	45
1	28	43
2	32	43
done	32	43

end0.0ms

sample415.0ms

Algorithm

intervals

Results

209.0ms

9615×

body

valid