Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

332×

body

valid

simplify9.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	51	8
4	89	8
5	149	8
6	198	8
7	222	8
8	252	8
9	305	8
10	433	8
11	549	8
12	617	8
13	663	8
14	792	8
15	930	8
16	1243	8
17	1732	8
18	2338	8
19	2508	8
20	2515	8
done	2515	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
6.6b	(fma (/ (- y x) t) z x)

rewrite22.0ms

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:

19.0ms	(/ (- y x) t)
0.0ms	(fma (/ (- y x) t) z x)

series91.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (- y x) t)
56.0ms	(fma (/ (- y x) t) z x)

simplify3.3s

Counts

56 → 56

Iterations

Useful iterations: 4 (2.2s)

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

prune180.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- y x))
0.4b	(/ 1 (/ t (- y x)))
6.6b	(fma (/ 1 (/ t (- y x))) z x)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `fma-udef` `inv-pow`

Counts

3 → 159

Calls

3 calls:

11.0ms	(/ t (- y x))
18.0ms	(/ 1 (/ t (- y x)))
0.0ms	(fma (/ 1 (/ t (- y x))) z x)

series170.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ t (- y x))
58.0ms	(/ 1 (/ t (- y x)))
73.0ms	(fma (/ 1 (/ t (- y x))) z x)

simplify2.6s

Counts

168 → 168

Iterations

Useful iterations: 3 (993.0ms)

Iter	Nodes	Cost
0	227	2280
1	464	1939
2	953	1704
3	2519	1642
done	5001	1642

prune445.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (/ (* (- y x) z) t))
7.4b	(/ (* (- y x) z) t)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

47.0ms	(* (- y x) z)
19.0ms	(+ x (/ (* (- y x) z) t))
28.0ms	(/ (* (- y x) z) t)

series161.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (- y x) z)
42.0ms	(+ x (/ (* (- y x) z) t))
76.0ms	(/ (* (- y x) z) t)

simplify1.6s

Counts

75 → 75

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	116	736
1	296	699
2	1030	605
done	5000	589

prune241.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
5.5b	(/ (- y x) (/ t z))

rewrite139.0ms

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:

72.0ms	(+ x (/ (- y x) (/ t z)))
54.0ms	(/ (- y x) (/ t z))

series144.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ x (/ (- y x) (/ t z)))
93.0ms	(/ (- y x) (/ t z))

simplify1.7s

Counts

127 → 127

Iterations

Useful iterations: done (1.7s)

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

prune376.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes151.0ms

Accuracy

55.2% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.9b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	52
1	27	52
done	27	52

end0.0ms

sample1.3s

Algorithm

intervals

Results

546.0ms

10698×

body

valid