Details

sample25.0ms

Algorithm

intervals

Results

9.0ms	269×	body	80	valid
1.0ms	3×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	13	13
1	22	13
2	39	12
3	67	12
4	109	12
5	168	12
6	226	12
7	295	12
8	383	12
9	499	12
10	744	12
11	871	12
12	1008	12
13	1092	12
14	1095	12
done	1095	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize10.0ms

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))

rewrite29.0ms

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)))
11.0ms	(* 60.0 (- x y))
14.0ms	(/ (* 60.0 (- x y)) (- z t))

series233.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
36.0ms	(* 60.0 (- x y))
81.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify781.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	180	1315
1	398	1126
2	1636	916
done	5001	916

prune246.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite42.0ms

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))))
16.0ms	(/ (- z t) (- x y))
14.0ms	(/ 60.0 (/ (- z t) (- x y)))

series455.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
58.0ms	(/ (- z t) (- x y))
297.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.1s

Counts

217 → 217

Iterations

Useful iterations: 2 (228.0ms)

Iter	Nodes	Cost
0	294	3708
1	680	3482
2	2874	3352
done	5000	3352

prune592.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

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:

11.0ms	(/ (- x y) (- z t))
0.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
23.0ms	(* 60.0 (/ (- x y) (- z t)))

series216.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- x y) (- z t))
96.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
67.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify568.0ms

Counts

125 → 125

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	164	1547
1	398	1472
2	1420	1362
done	5000	1362

prune331.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 120.0 a (/ 60.0 (- (/ z (- x y)) (/ t (- x y)))))
0.0b	(/ t (- x y))
0.4b	(/ 60.0 (- (/ z (- x y)) (/ t (- x y))))
0.9b	(- (/ z (- x y)) (/ t (- x y)))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

830×	`*-un-lft-identity`
804×	`times-frac`
780×	`add-sqr-sqrt`
441×	`prod-diff`
434×	`add-cube-cbrt`
193×	`distribute-lft-out--`
163×	`difference-of-squares`
112×	`associate-/r/`
56×	`flip3--` `flip--`
55×	`div-inv`
23×	`associate-/r*`
21×	`fma-neg`
15×	`distribute-rgt-out--`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`sub-neg` `diff-log` `fma-udef`

Counts

4 → 635

Calls

4 calls:

0.0ms	(fma 120.0 a (/ 60.0 (- (/ z (- x y)) (/ t (- x y)))))
7.0ms	(/ t (- x y))
71.0ms	(/ 60.0 (- (/ z (- x y)) (/ t (- x y))))
69.0ms	(- (/ z (- x y)) (/ t (- x y)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(fma 120.0 a (/ 60.0 (- (/ z (- x y)) (/ t (- x y)))))
31.0ms	(/ t (- x y))
90.0ms	(/ 60.0 (- (/ z (- x y)) (/ t (- x y))))
115.0ms	(- (/ z (- x y)) (/ t (- x y)))

simplify1.7s

Counts

647 → 647

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	677	30068
1	1413	27063
2	4094	21055
done	5000	20950

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes189.0ms

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

sample581.0ms

Algorithm

intervals

Results

293.0ms	8490×	body	80	valid
7.0ms	46×	body	1280	valid
5.0ms	41×	body	640	valid
4.0ms	20×	body	2560	valid
2.0ms	23×	body	320	valid
1.0ms	11×	body	160	valid