Details

sample46.0ms

Algorithm

intervals

Results

18.0ms	279×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	13	13
1	22	13
2	39	12
3	67	12
4	122	12
5	201	12
6	293	12
7	361	12
8	504	12
9	972	12
10	3182	12
done	5000	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize23.0ms

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))
0.8b	(/ (* 60.0 (- x y)) (- z t))

rewrite92.0ms

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:

1.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
44.0ms	(* 60.0 (- x y))
41.0ms	(/ (* 60.0 (- x y)) (- z t))

series247.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
32.0ms	(* 60.0 (- x y))
86.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.2s

Counts

96 → 96

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	180	1315
1	442	1132
2	1846	942
done	5001	910

prune264.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
0.0b	(/ (- x y) (- z t))
0.2b	(* 60.0 (/ (- x y) (- z t)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 116

Calls

3 calls:

1.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
49.0ms	(/ (- x y) (- z t))
97.0ms	(* 60.0 (/ (- x y) (- z t)))

series299.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
76.0ms	(/ (- x y) (- z t))
84.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify1.0s

Counts

125 → 125

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	164	1547
1	420	1484
2	1617	1370
done	5000	1366

prune461.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

0.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
25.0ms	(/ (- z t) (- x y))
30.0ms	(/ 60.0 (/ (- z t) (- x y)))

series654.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
67.0ms	(/ (- z t) (- x y))
450.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.9s

Counts

217 → 217

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	294	3708
1	777	3522
2	3924	3360
done	5001	3352

prune845.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite230.0ms

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/`
47×	`div-inv`
46×	`flip3--` `flip--`
32×	`add-exp-log`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `fma-udef` `associate-/l/` `inv-pow`

Counts

4 → 601

Calls

4 calls:

24.0ms	(/ 1 (- x y))
29.0ms	(/ 60.0 (- z t))
1.0ms	(fma 120.0 a (/ (/ 60.0 (- z t)) (/ 1 (- x y))))
71.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

series697.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ 1 (- x y))
79.0ms	(/ 60.0 (- z t))
140.0ms	(fma 120.0 a (/ (/ 60.0 (- z t)) (/ 1 (- x y))))
412.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify1.8s

Counts

613 → 613

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	793	14929
1	2615	12779
done	5001	11573

prune1.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes264.0ms

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
1	13	12
done	13	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

756.0ms	8456×	body	80	valid
17.0ms	57×	body	1280	valid
8.0ms	22×	body	2560	valid
8.0ms	35×	body	640	valid
4.0ms	23×	body	320	valid
1.0ms	11×	body	160	valid