Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

277×

body

valid

simplify883.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	60	10
4	102	10
5	149	10
6	199	10
7	234	10
8	278	10
9	364	10
10	477	10
11	549	10
12	643	10
13	671	10
done	671	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.4b	(fma (/ y (- z a)) (- z t) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

6.0ms	(/ y (- z a))
1.0ms	(fma (/ y (- z a)) (- z t) x)

series132.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ y (- z a))
98.0ms	(fma (/ y (- z a)) (- z t) x)

simplify1.2s

Counts

55 → 55

Iterations

Useful iterations: 4 (472.0ms)

Iter	Nodes	Cost
0	92	552
1	171	535
2	363	495
3	780	495
4	2052	494
done	5001	494

prune194.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) y)
0.4b	(/ 1 (/ (- z a) y))
2.4b	(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`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×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `fma-udef` `inv-pow`

Counts

3 → 152

Calls

3 calls:

9.0ms	(/ (- z a) y)
10.0ms	(/ 1 (/ (- z a) y))
0.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

series232.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (- z a) y)
87.0ms	(/ 1 (/ (- z a) y))
108.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify1.9s

Counts

161 → 161

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	210	2152
1	468	1827
2	906	1582
3	2099	1552
done	5000	1550

prune348.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.3b	(/ (/ 1 (- z a)) (/ 1 y))
2.4b	(fma (/ (/ 1 (- z a)) (/ 1 y)) (- z t) x)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
385×	`add-sqr-sqrt` `*-un-lft-identity`
293×	`add-cube-cbrt`
47×	`add-exp-log`
46×	`distribute-lft-out--` `difference-of-squares`
38×	`div-inv`
34×	`div-exp`
31×	`associate-/r/`
24×	`associate-/l*`
18×	`associate-/r*`
17×	`add-cbrt-cube`
15×	`flip3--` `flip--`
9×	`cbrt-undiv` `rec-exp` `1-exp`
4×	`pow1`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `fma-udef` `associate-/l/` `inv-pow`

Counts

3 → 394

Calls

3 calls:

6.0ms	(/ 1 (- z a))
22.0ms	(/ (/ 1 (- z a)) (/ 1 y))
0.0ms	(fma (/ (/ 1 (- z a)) (/ 1 y)) (- z t) x)

series214.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1 (- z a))
75.0ms	(/ (/ 1 (- z a)) (/ 1 y))
100.0ms	(fma (/ (/ 1 (- z a)) (/ 1 y)) (- z t) x)

simplify1.5s

Counts

403 → 403

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	550	8339
1	1638	6043
2	2863	5175
done	5001	5097

prune481.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
9.7b	(/ (* y (- z t)) (- z a))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 77

Calls

2 calls:

12.0ms	(* y (- z t))
14.0ms	(/ (* y (- z t)) (- z a))

series125.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* y (- z t))
82.0ms	(/ (* y (- z t)) (- z a))

simplify2.3s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	157	1123
1	347	936
2	1024	772
3	4560	730
done	5000	730

prune184.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample563.0ms

Algorithm

intervals

Results

295.0ms	8737×	body	80	valid
0.0ms	1×	body	320	valid