Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

279×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	37	10
3	60	10
4	105	10
5	180	10
6	304	10
7	360	10
8	448	10
9	713	10
10	1241	10
11	3537	10
done	5000	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.1b	(fma (/ (- z t) (- z a)) y x)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

38.0ms	(/ (- z t) (- z a))
0.0ms	(fma (/ (- z t) (- z a)) y x)

series192.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(/ (- z t) (- z a))
111.0ms	(fma (/ (- z t) (- z a)) y x)

simplify2.5s

Counts

70 → 70

Iterations

Useful iterations: 3 (866.0ms)

Iter	Nodes	Cost
0	113	884
1	266	856
2	824	810
3	4498	808
done	5000	808

prune306.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
2.1b	(fma (* (- z t) (/ 1 (- z a))) y x)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

38.0ms	(/ 1 (- z a))
102.0ms	(* (- z t) (/ 1 (- z a)))
1.0ms	(fma (* (- z t) (/ 1 (- z a))) y x)

series289.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ 1 (- z a))
77.0ms	(* (- z t) (/ 1 (- z a)))
168.0ms	(fma (* (- z t) (/ 1 (- z a))) y x)

simplify6.3s

Counts

114 → 114

Iterations

Useful iterations: 2 (724.0ms)

Iter	Nodes	Cost
0	149	1251
1	360	1101
2	2799	924
done	5000	924

prune415.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
2.1b	(fma (/ 1 (/ (- z a) (- z t))) y x)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 214

Calls

3 calls:

29.0ms	(/ (- z a) (- z t))
52.0ms	(/ 1 (/ (- z a) (- z t)))
1.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

series340.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(/ (- z a) (- z t))
127.0ms	(/ 1 (/ (- z a) (- z t)))
140.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

simplify2.5s

Counts

223 → 223

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	269	3744
1	707	3232
2	4818	3114
done	5000	3104

prune582.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ y (/ (- z a) (- z t))) x)
0.0b	(/ (- z a) (- z t))
3.6b	(/ y (/ (- z a) (- z t)))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

386×	`times-frac`
322×	`*-un-lft-identity`
320×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
98×	`fma-def`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 310

Calls

3 calls:

183.0ms	(+ (/ y (/ (- z a) (- z t))) x)
26.0ms	(/ (- z a) (- z t))
38.0ms	(/ y (/ (- z a) (- z t)))

series424.0ms

Counts

3 → 9

Calls

3 calls:

180.0ms	(+ (/ y (/ (- z a) (- z t))) x)
74.0ms	(/ (- z a) (- z t))
171.0ms	(/ y (/ (- z a) (- z t)))

simplify1.9s

Counts

319 → 319

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	298	3787
1	817	3581
2	4104	3428
done	5002	3422

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes205.0ms

Accuracy

58.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.2b

bsearch123.0ms

Steps

Iters	Range		Point
9	5.235214087679141e-108	2.6665792587040808e-102	2.1434477325177046e-103
7	-2.7449063433751756e-58	-2.8196191390646307e-60	-1.7765874073361617e-59

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	45
1	27	45
done	27	45

end0.0ms

sample1.2s

Algorithm

intervals

Results

508.0ms	8740×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid