Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

328×

body

valid

simplify11.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.3b

localize8.0ms

Local error

Found 1 expressions with local error:

3.2b	(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)

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 3 (70.0ms)

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

prune52.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- y x) (/ t z)) x)
5.8b	(/ (- y x) (/ t z))

rewrite163.0ms

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:

126.0ms	(+ (/ (- y x) (/ t z)) x)
25.0ms	(/ (- y x) (/ t z))

series143.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (/ (- y x) (/ t z)) x)
84.0ms	(/ (- y x) (/ t z))

simplify2.0s

Counts

194 → 194

Iterations

Useful iterations: done (2.0s)

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

prune794.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

3.2b	(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)

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 3 (54.0ms)

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

prune68.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.7b	(/ (/ (- y x) (* (cbrt t) (cbrt t))) (/ (cbrt t) z))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

493×	`times-frac`
229×	`add-sqr-sqrt` `*-un-lft-identity`
183×	`add-cube-cbrt`
99×	`cbrt-prod`
34×	`div-inv`
25×	`add-exp-log`
23×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
18×	`add-cbrt-cube`
13×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-sub` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/r/` `associate-/l/`

Counts

4 → 295

Calls

4 calls:

2.0ms	(cbrt t)
2.0ms	(cbrt t)
2.0ms	(cbrt t)
68.0ms	(/ (/ (- y x) (* (cbrt t) (cbrt t))) (/ (cbrt t) z))

series1.0s

Counts

4 → 12

Calls

4 calls:

293.0ms	(cbrt t)
293.0ms	(cbrt t)
317.0ms	(cbrt t)
133.0ms	(/ (/ (- y x) (* (cbrt t) (cbrt t))) (/ (cbrt t) z))

simplify1.1s

Counts

307 → 307

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	455	7165
1	1292	6834
done	5000	6430

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes277.0ms

Accuracy

-4.3% (2.0b remaining)

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

bsearch149.0ms

Steps

Iters	Range		Point
8	1.950059944601888e+32	8.35375346948554e+35	5.6214786941139976e+32
10	-3.3467573401782356e-118	-2.685970965115842e-133	-3.2981924105391174e-118

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	20	41
1	29	29
done	29	29

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s

10694×

body

valid