Details

sample36.0ms

Algorithm

intervals

Results

16.0ms

344×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	49	8
4	96	8
5	139	8
6	177	8
7	212	8
8	253	8
9	338	8
10	433	8
11	505	8
12	565	8
13	591	8
done	591	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

3.2b	(fma (/ y a) (- 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 a) (- z t) x)

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify1.0s

Counts

13 → 13

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	24	154
1	41	154
2	94	138
3	267	123
4	1175	123
done	5000	123

prune53.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- z t) (/ a y)) x)
5.1b	(/ (- z t) (/ a y))

rewrite188.0ms

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:

137.0ms	(+ (/ (- z t) (/ a y)) x)
38.0ms	(/ (- z t) (/ a y))

series106.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (/ (- z t) (/ a y)) x)
49.0ms	(/ (- z t) (/ a y))

simplify1.1s

Counts

194 → 194

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	224	1920
1	603	1786
2	1918	1697
done	5000	1689

prune623.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:

17.0ms	(/ (- z t) a)
0.0ms	(fma (/ (- z t) a) y x)

series114.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (- z t) a)
80.0ms	(fma (/ (- z t) a) y x)

simplify2.6s

Counts

56 → 56

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	95	558
1	194	536
2	452	500
3	1235	490
4	3717	489
done	5000	489

prune252.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (/ (- z t) a) (/ 1 y)) x)
0.0b	(/ (- z t) a)
5.7b	(/ (/ (- z t) a) (/ 1 y))

rewrite506.0ms

Algorithm

rewrite-expression-head

Rules

1265×	`times-frac`
702×	`*-un-lft-identity`
700×	`add-sqr-sqrt`
530×	`add-cube-cbrt`
252×	`fma-def`
85×	`distribute-lft-out--` `difference-of-squares`
69×	`div-inv`
27×	`add-exp-log`
24×	`associate-/l*`
17×	`div-exp` `add-cbrt-cube`
16×	`associate-/r*`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/r/`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

3 → 613

Calls

3 calls:

292.0ms	(+ (/ (/ (- z t) a) (/ 1 y)) x)
36.0ms	(/ (- z t) a)
66.0ms	(/ (/ (- z t) a) (/ 1 y))

series152.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (/ (/ (- z t) a) (/ 1 y)) x)
36.0ms	(/ (- z t) a)
58.0ms	(/ (/ (- z t) a) (/ 1 y))

simplify1.9s

Counts

622 → 622

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	545	7642
1	1545	6241
2	3593	5690
done	5000	5690

prune2.3s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes332.0ms

Accuracy

51.9% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.5b

bsearch112.0ms

Steps

Iters	Range		Point
9	1.0709569694335743e+116	2.8096875911191325e+121	1.0848100710140221e+116
5	-6.414671995288207e+22	-2.9625493475007595e+22	-3.129247257132885e+22

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	20	39
1	29	28
done	29	28

end0.0ms

sample1.9s

Algorithm

intervals

Results

661.0ms

10687×

body

valid