Details

sample36.0ms

Algorithm

intervals

Results

13.0ms

343×

body

valid

simplify10.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	27	8
3	62	8
4	108	8
5	157	8
6	194	8
7	237	8
8	296	8
9	383	8
10	478	8
11	537	8
12	596	8
13	641	8
14	679	8
15	808	8
16	946	8
17	1261	8
18	1750	8
19	2362	8
20	2536	8
21	2543	8
done	2543	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize9.0ms

Local error

Found 1 expressions with local error:

3.0b	(fma (- y x) (/ z t) 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 t) x)

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(fma (- y x) (/ z t) x)

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	86	138
3	255	123
4	1131	123
done	5002	123

prune73.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- y x) (/ t z)) x)
9.6b	(/ (- y x) (/ t z))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

229×	`times-frac`
163×	`*-un-lft-identity`
161×	`add-sqr-sqrt`
107×	`add-cube-cbrt`
70×	`fma-def`
27×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*` `div-inv`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 188

Calls

2 calls:

164.0ms	(+ (/ (- y x) (/ t z)) x)
32.0ms	(/ (- y x) (/ t z))

series159.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (/ (- y x) (/ t z)) x)
92.0ms	(/ (- y x) (/ t z))

simplify2.1s

Counts

194 → 194

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	221	1932
1	602	1810
2	1870	1704
done	5001	1696

prune771.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
9.6b	(/ (- y x) (/ t z))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
89×	`*-un-lft-identity`
87×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `fma-def` `div-exp`
2×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 121

Calls

2 calls:

57.0ms	(+ x (/ (- y x) (/ t z)))
31.0ms	(/ (- y x) (/ t z))

series158.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify1.8s

Counts

127 → 127

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	221	1932
1	603	1804
2	1880	1697
done	5001	1695

prune483.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
5.3b	(fma (/ (- y x) t) z x)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 50

Calls

2 calls:

35.0ms	(/ (- y x) t)
0.0ms	(fma (/ (- y x) t) z x)

series110.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- y x) t)
65.0ms	(fma (/ (- y x) t) z x)

simplify2.8s

Counts

56 → 56

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	93	570
1	194	548
2	455	512
3	1240	497
4	3730	496
done	5000	496

prune187.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes242.0ms

Accuracy

7.8% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify13.0ms

Iterations

Useful iterations: done (13.0ms)

Iter	Nodes	Cost
0	22	56
1	29	45
2	32	37
3	35	37
done	35	36

end0.0ms

sample1.1s

Algorithm

intervals

Results

470.0ms

10769×

body

valid