Details

sample37.0ms

Algorithm

intervals

Results

16.0ms

332×

body

valid

simplify10.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize26.0ms

Local error

Found 1 expressions with local error:

2.4b	(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:

1.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify950.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (37.0ms)

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

prune40.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.4b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite170.0ms

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:

118.0ms	(+ (/ (- y x) (/ t z)) x)
29.0ms	(/ (- y x) (/ t z))

series131.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (/ (- y x) (/ t z)) x)
87.0ms	(/ (- y x) (/ t z))

simplify1.4s

Counts

194 → 194

Iterations

Useful iterations: done (1.4s)

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

prune662.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:

23.0ms	(/ (- y x) t)
0.0ms	(fma (/ (- y x) t) z x)

series81.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (- y x) t)
39.0ms	(fma (/ (- y x) t) z x)

simplify2.5s

Counts

56 → 56

Iterations

Useful iterations: 4 (1.4s)

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

prune177.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

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)

rewrite67.0ms

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:

24.0ms	(/ t (- y x))
31.0ms	(/ 1 (/ t (- y x)))
0.0ms	(fma (/ 1 (/ t (- y x))) z x)

series520.0ms

Counts

3 → 9

Calls

3 calls:

409.0ms	(/ t (- y x))
58.0ms	(/ 1 (/ t (- y x)))
53.0ms	(fma (/ 1 (/ t (- y x))) z x)

simplify2.5s

Counts

168 → 168

Iterations

Useful iterations: 3 (1.1s)

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

prune452.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes197.0ms

Accuracy

-7.6% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.9b

bsearch80.0ms

Steps

Iters	Range		Point
9	1.4838895886297806e-273	3.9955606630812066e-268	1.1707696491759207e-272
9	-1.7669547785881474e-162	-4.106728938429768e-168	-2.820453902150181e-166

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	22	34
done	22	34

end0.0ms

sample1.4s

Algorithm

intervals

Results

678.0ms

10698×

body

valid