Details

sample55.0ms

Algorithm

intervals

Results

21.0ms

287×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	36	10
3	59	10
4	102	10
5	161	10
6	212	10
7	240	10
8	278	10
9	319	10
10	404	10
11	502	10
12	570	10
13	634	10
14	662	10
done	662	10

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.0b	(fma (/ (- z t) (- a t)) y x)

rewrite40.0ms

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:

36.0ms	(/ (- z t) (- a t))
0.0ms	(fma (/ (- z t) (- a t)) y x)

series214.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(/ (- z t) (- a t))
131.0ms	(fma (/ (- z t) (- a t)) y x)

simplify3.7s

Counts

70 → 70

Iterations

Useful iterations: 4 (2.2s)

Iter	Nodes	Cost
0	113	884
1	259	856
2	632	808
3	1589	808
4	4609	806
done	5000	806

prune347.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.9b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.3b	(* y (/ (- z t) (- a t)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

14.0ms	(+ x (* y (/ (- z t) (- a t))))
52.0ms	(/ (- z t) (- a t))
74.0ms	(* y (/ (- z t) (- a t)))

series418.0ms

Counts

3 → 9

Calls

3 calls:

165.0ms	(+ x (* y (/ (- z t) (- a t))))
96.0ms	(/ (- z t) (- a t))
157.0ms	(* y (/ (- z t) (- a t)))

simplify2.8s

Counts

131 → 131

Iterations

Useful iterations: 2 (314.0ms)

Iter	Nodes	Cost
0	168	1615
1	429	1512
2	1221	1414
3	3956	1414
done	5002	1414

prune488.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.4b	(/ 1 (/ (- a t) (- z t)))
1.0b	(fma (/ 1 (/ (- a t) (- z t))) y x)

rewrite128.0ms

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:

60.0ms	(/ (- a t) (- z t))
42.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

series1.2s

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (- a t) (- z t))
265.0ms	(/ 1 (/ (- a t) (- z t)))
831.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

simplify3.2s

Counts

223 → 223

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	270	3746
1	605	3234
2	1378	2915
3	3737	2837
done	5000	2837

prune627.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.0b	(/ 1 (- z t))
0.2b	(/ (/ 1 (- a t)) (/ 1 (- z t)))
1.0b	(fma (/ (/ 1 (- a t)) (/ 1 (- z t))) y x)

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
52×	`add-exp-log`
47×	`div-inv`
46×	`flip3--` `flip--`
36×	`div-exp`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`fma-udef` `associate-/l/`

Counts

4 → 613

Calls

4 calls:

13.0ms	(/ 1 (- a t))
27.0ms	(/ 1 (- z t))
73.0ms	(/ (/ 1 (- a t)) (/ 1 (- z t)))
1.0ms	(fma (/ (/ 1 (- a t)) (/ 1 (- z t))) y x)

series716.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(/ 1 (- a t))
59.0ms	(/ 1 (- z t))
227.0ms	(/ (/ 1 (- a t)) (/ 1 (- z t)))
354.0ms	(fma (/ (/ 1 (- a t)) (/ 1 (- z t))) y x)

simplify2.5s

Counts

625 → 625

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	747	15040
1	2056	11198
2	3771	9964
done	5000	9962

prune917.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes263.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	14	14
done	14	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

591.0ms	8743×	body	80	valid
0.0ms	1×	body	1280	valid