Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

275×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	36	10
3	59	10
4	104	10
5	178	10
6	302	10
7	359	10
8	446	10
9	710	10
10	1270	10
11	3597	10
done	5000	10

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.4b	(fma (/ (- z t) (- a t)) y x)

rewrite46.0ms

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:

41.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) y x)

series199.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(/ (- z t) (- a t))
113.0ms	(fma (/ (- z t) (- a t)) y x)

simplify2.4s

Counts

70 → 70

Iterations

Useful iterations: 3 (792.0ms)

Iter	Nodes	Cost
0	113	884
1	264	856
2	826	810
3	4312	808
done	5000	808

prune269.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
1.4b	(fma (/ 1 (/ (- a t) (- z t))) y x)

rewrite96.0ms

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:

49.0ms	(/ (- a t) (- z t))
29.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

series549.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- a t) (- z t))
199.0ms	(/ 1 (/ (- a t) (- z t)))
288.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

simplify2.5s

Counts

223 → 223

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	270	3746
1	703	3234
2	4006	3114
done	5002	3100

prune689.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ y (/ (- a t) (- z t))) x)
0.0b	(/ (- a t) (- z t))
2.6b	(/ y (/ (- a t) (- z t)))

rewrite311.0ms

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:

219.0ms	(+ (/ y (/ (- a t) (- z t))) x)
33.0ms	(/ (- a t) (- z t))
28.0ms	(/ y (/ (- a t) (- z t)))

series704.0ms

Counts

3 → 9

Calls

3 calls:

352.0ms	(+ (/ y (/ (- a t) (- z t))) x)
126.0ms	(/ (- a t) (- z t))
226.0ms	(/ y (/ (- a t) (- z t)))

simplify2.1s

Counts

319 → 319

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	298	3793
1	812	3587
2	4097	3434
done	5000	3426

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ y (* (- a t) (/ 1 (- z t)))) x)
0.0b	(/ 1 (- z t))
0.2b	(* (- a t) (/ 1 (- z t)))
2.6b	(/ y (* (- a t) (/ 1 (- z t))))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
38×	`times-frac`
32×	`add-exp-log`
28×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
16×	`associate-/r/`
13×	`fma-def`
11×	`div-exp`
8×	`flip3--` `prod-exp` `flip--` `distribute-lft-out--` `difference-of-squares`
7×	`pow1`
6×	`cbrt-undiv` `frac-times` `associate-l/` `associate-/r` `associate-/l*` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `div-inv`
3×	`rec-exp` `1-exp` `associate-*r/` `un-div-inv` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 155

Calls

4 calls:

74.0ms	(+ (/ y (* (- a t) (/ 1 (- z t)))) x)
28.0ms	(/ 1 (- z t))
108.0ms	(* (- a t) (/ 1 (- z t)))
25.0ms	(/ y (* (- a t) (/ 1 (- z t))))

series824.0ms

Counts

4 → 12

Calls

4 calls:

398.0ms	(+ (/ y (* (- a t) (/ 1 (- z t)))) x)
66.0ms	(/ 1 (- z t))
89.0ms	(* (- a t) (/ 1 (- z t)))
271.0ms	(/ y (* (- a t) (/ 1 (- z t))))

simplify6.7s

Counts

167 → 167

Iterations

Useful iterations: done (6.7s)

Iter	Nodes	Cost
0	201	1886
1	510	1689
2	3949	1386
done	5000	1355

prune556.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes249.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	11	11
done	11	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

602.0ms	8754×	body	80	valid
0.0ms	1×	body	1280	valid