Details

sample25.0ms

Algorithm

intervals

Results

9.0ms	282×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid

simplify2.2s

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

prune7.0ms

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))

rewrite35.0ms

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)))
12.0ms	(* 60.0 (- x y))
18.0ms	(/ (* 60.0 (- x y)) (- z t))

series202.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
37.0ms	(* 60.0 (- x y))
65.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify780.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (142.0ms)

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

prune244.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite49.0ms

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:

16.0ms	(/ (- x y) (- z t))
0.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
26.0ms	(* 60.0 (/ (- x y) (- z t)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- x y) (- z t))
100.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
65.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify625.0ms

Counts

125 → 125

Iterations

Useful iterations: 2 (131.0ms)

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

prune352.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

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))
0.5b	(/ 60.0 (/ (- z t) (- x y)))

rewrite43.0ms

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))))
13.0ms	(/ (- z t) (- x y))
15.0ms	(/ 60.0 (/ (- z t) (- x y)))

series467.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
56.0ms	(/ (- z t) (- x y))
309.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify948.0ms

Counts

217 → 217

Iterations

Useful iterations: 2 (244.0ms)

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

prune642.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.3b	(* (* (cbrt 60.0) (cbrt 60.0)) (/ (cbrt 60.0) (/ (- z t) (- x y))))
0.5b	(/ (cbrt 60.0) (/ (- z t) (- x y)))
1.0b	(* (cbrt 60.0) (cbrt 60.0))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

728×	`times-frac`
597×	`add-sqr-sqrt`
578×	`*-un-lft-identity`
294×	`add-cube-cbrt`
207×	`cbrt-prod`
197×	`associate-r`
142×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
34×	`add-exp-log`
30×	`associate-/r/`
20×	`add-cbrt-cube`
16×	`pow1` `div-inv`
15×	`flip3--` `flip--`
11×	`associate-/l*`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
9×	`unswap-sqr`
7×	`associate-l`
6×	`pow1/3` `swap-sqr`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/`
1×	`pow2` `pow-plus` `div-sub` `associate-*r/`

Counts

4 → 558

Calls

4 calls:

13.0ms	(/ (- z t) (- x y))
93.0ms	(* (* (cbrt 60.0) (cbrt 60.0)) (/ (cbrt 60.0) (/ (- z t) (- x y))))
18.0ms	(/ (cbrt 60.0) (/ (- z t) (- x y)))
7.0ms	(* (cbrt 60.0) (cbrt 60.0))

series890.0ms

Counts

4 → 10

Calls

4 calls:

62.0ms	(/ (- z t) (- x y))
406.0ms	(* (* (cbrt 60.0) (cbrt 60.0)) (/ (cbrt 60.0) (/ (- z t) (- x y))))
421.0ms	(/ (cbrt 60.0) (/ (- z t) (- x y)))
0.0ms	(* (cbrt 60.0) (cbrt 60.0))

simplify634.0ms

Counts

568 → 568

Iterations

Useful iterations: done (612.0ms)

Iter	Nodes	Cost
0	565	10965
1	1655	10163
done	5000	10073

prune2.1s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes323.0ms

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

sample613.0ms

Algorithm

intervals

Results

300.0ms	8578×	body	80	valid
8.0ms	49×	body	1280	valid
6.0ms	28×	body	320	valid
4.0ms	21×	body	2560	valid
2.0ms	17×	body	640	valid
1.0ms	11×	body	160	valid