Details

sample43.0ms

Algorithm

intervals

Results

16.0ms	277×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	13	13
1	22	13
2	39	12
3	67	12
4	118	12
5	169	12
6	225	12
7	282	12
8	357	12
9	455	12
10	564	12
11	639	12
12	702	12
13	730	12
done	730	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
0.0b	(* 60.0 (- x y))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
28.0ms	(* 60.0 (- x y))
28.0ms	(/ (* 60.0 (- x y)) (- z t))

series229.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
37.0ms	(* 60.0 (- x y))
75.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.2s

Counts

96 → 96

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	180	1315
1	391	1126
2	1112	934
done	5001	910

prune356.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
0.8b	(/ 60.0 (/ (- z t) (- x y)))

rewrite67.0ms

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*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`div-sub` `fma-udef`

Counts

3 → 208

Calls

3 calls:

29.0ms	(/ (- z t) (- x y))
0.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
25.0ms	(/ 60.0 (/ (- z t) (- x y)))

series514.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ (- z t) (- x y))
104.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
334.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.4s

Counts

217 → 217

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	294	3708
1	659	3482
2	2339	3352
done	5000	3346

prune764.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 120.0 a (/ 1 (/ (/ (- z t) (- x y)) 60.0)))
0.0b	(/ (- z t) (- x y))
0.4b	(/ (/ (- z t) (- x y)) 60.0)
0.6b	(/ 1 (/ (/ (- z t) (- x y)) 60.0))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
794×	`add-sqr-sqrt` `*-un-lft-identity`
450×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
1×	`pow-flip` `fma-udef` `inv-pow`

Counts

4 → 627

Calls

4 calls:

0.0ms	(fma 120.0 a (/ 1 (/ (/ (- z t) (- x y)) 60.0)))
26.0ms	(/ (- z t) (- x y))
35.0ms	(/ (/ (- z t) (- x y)) 60.0)
51.0ms	(/ 1 (/ (/ (- z t) (- x y)) 60.0))

series606.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(fma 120.0 a (/ 1 (/ (/ (- z t) (- x y)) 60.0)))
83.0ms	(/ (- z t) (- x y))
71.0ms	(/ (/ (- z t) (- x y)) 60.0)
331.0ms	(/ 1 (/ (/ (- z t) (- x y)) 60.0))

simplify2.6s

Counts

639 → 639

Iterations

Useful iterations: 2 (1.7s)

Iter	Nodes	Cost
0	729	14195
1	1724	12569
2	3769	11271
done	5001	11271

prune2.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 120.0 a (/ (/ (- x y) (- z t)) (/ 1 60.0)))
0.0b	(/ (- x y) (- z t))
0.3b	(/ (/ (- x y) (- z t)) (/ 1 60.0))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

1066×	`times-frac`
697×	`add-sqr-sqrt` `*-un-lft-identity`
393×	`add-cube-cbrt`
152×	`distribute-lft-out--` `difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
16×	`flip3--` `flip--`
9×	`cbrt-undiv`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`fma-udef`

Counts

3 → 538

Calls

3 calls:

0.0ms	(fma 120.0 a (/ (/ (- x y) (- z t)) (/ 1 60.0)))
24.0ms	(/ (- x y) (- z t))
66.0ms	(/ (/ (- x y) (- z t)) (/ 1 60.0))

series336.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(fma 120.0 a (/ (/ (- x y) (- z t)) (/ 1 60.0)))
68.0ms	(/ (- x y) (- z t))
109.0ms	(/ (/ (- x y) (- z t)) (/ 1 60.0))

simplify2.6s

Counts

547 → 547

Iterations

Useful iterations: 2 (1.4s)

Iter	Nodes	Cost
0	704	13564
1	2028	11363
2	4966	10543
done	5000	10543

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes313.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
done	12	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

792.0ms	8579×	body	80	valid
17.0ms	51×	body	1280	valid
7.0ms	27×	body	640	valid
6.0ms	18×	body	2560	valid
5.0ms	28×	body	320	valid
1.0ms	8×	body	160	valid