Details

sample27.0ms

Algorithm

intervals

Results

7.0ms	247×	body	80	valid
2.0ms	16×	body	640	valid
2.0ms	20×	body	320	valid
1.0ms	6×	body	1280	valid
1.0ms	10×	body	160	valid

simplify81.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	116	5
3	324	5
4	861	5
5	1907	5
6	4560	5
7	5001	5
done	5001	5

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) (- a t))
15.8b	(fma (/ (- y x) (- a t)) (- z t) x)

rewrite28.0ms

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:

26.0ms	(/ (- y x) (- a t))
0.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

series146.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- y x) (- a t))
90.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

simplify60.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	269	450
1	734	425
2	2488	423
3	5002	423
done	5002	423

prune203.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.3b	(* (- y x) (/ 1 (- a t)))
15.7b	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

rewrite59.0ms

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:

14.0ms	(/ 1 (- a t))
42.0ms	(* (- y x) (/ 1 (- a t)))
0.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

series184.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 1 (- a t))
53.0ms	(* (- y x) (/ 1 (- a t)))
93.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

simplify46.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	351	602
1	1495	525
2	5001	481
done	5001	481

prune276.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 8.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- y x))
0.6b	(/ 1 (/ (- a t) (- y x)))
15.8b	(fma (/ 1 (/ (- a t) (- y x))) (- z t) x)

rewrite66.0ms

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:

22.0ms	(/ (- a t) (- y x))
27.0ms	(/ 1 (/ (- a t) (- y x)))
0.0ms	(fma (/ 1 (/ (- a t) (- y x))) (- z t) x)

series407.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- a t) (- y x))
220.0ms	(/ 1 (/ (- a t) (- y x)))
128.0ms	(fma (/ 1 (/ (- a t) (- y x))) (- z t) x)

simplify71.0ms

Counts

223 → 223

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	633	1907
1	2810	1722
2	5002	1551
done	5002	1551

prune417.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 8.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- y x))
4.2b	(+ (/ (- z t) (/ (- a t) (- y x))) x)
6.2b	(/ (- z t) (/ (- a t) (- y x)))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

610×	`times-frac`
572×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
200×	`add-cube-cbrt`
185×	`distribute-lft-out--` `difference-of-squares`
160×	`fma-def`
36×	`associate-/r*`
26×	`associate-/r/`
14×	`flip3--` `flip--` `div-inv`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 440

Calls

3 calls:

23.0ms	(/ (- a t) (- y x))
175.0ms	(+ (/ (- z t) (/ (- a t) (- y x))) x)
39.0ms	(/ (- z t) (/ (- a t) (- y x)))

series563.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- a t) (- y x))
188.0ms	(+ (/ (- z t) (/ (- a t) (- y x))) x)
322.0ms	(/ (- z t) (/ (- a t) (- y x)))

simplify118.0ms

Counts

449 → 449

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	1036	3079
1	4296	3003
2	5002	3001
done	5002	3001

prune1.0s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 4.9b

regimes529.0ms

Accuracy

55.2% (3.8b remaining)

Error of 7.5b against oracle of 3.7b and baseline of 12.2b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	61
1	36	61
done	36	61

end0.0ms

sample752.0ms

Algorithm

intervals

Results

239.0ms	7858×	body	80	valid
51.0ms	483×	body	640	valid
40.0ms	400×	body	320	valid
38.0ms	288×	body	1280	valid
14.0ms	265×	body	160	valid
3.0ms	16×	body	2560	valid