Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	276×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify1.2s

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	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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 3 expressions with local error:

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

25.0ms	(* 60.0 (- x y))
0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
31.0ms	(/ (* 60.0 (- x y)) (- z t))

series216.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* 60.0 (- x y))
109.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
74.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify929.0ms

Counts

96 → 96

Iterations

Useful iterations: done (926.0ms)

Iter	Nodes	Cost
0	180	1315
1	391	1126
2	1113	934
done	5001	910

prune247.0ms

Pruning

5 alts after pruning (5 fresh and 0 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))))
0.2b	(* 60.0 (/ (- x y) (- z t)))

rewrite79.0ms

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:

27.0ms	(/ (- x y) (- z t))
0.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
46.0ms	(* 60.0 (/ (- x y) (- z t)))

series238.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- x y) (- z t))
103.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
73.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify1.6s

Counts

125 → 125

Iterations

Useful iterations: 2 (169.0ms)

Iter	Nodes	Cost
0	164	1547
1	391	1472
2	1056	1362
3	3161	1362
done	5000	1362

prune369.0ms

Pruning

4 alts after pruning (4 fresh and 0 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))
0.6b	(/ 60.0 (/ (- z t) (- x y)))

rewrite72.0ms

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))))
30.0ms	(/ (- z t) (- x y))
28.0ms	(/ 60.0 (/ (- z t) (- x y)))

series475.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
66.0ms	(/ (- z t) (- x y))
304.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.2s

Counts

217 → 217

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	294	3708
1	659	3482
2	2338	3352
done	5001	3346

prune665.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(fma 120.0 a (* 60.0 (* (- x y) (/ 1 (- z t)))))
0.2b	(* 60.0 (* (- x y) (/ 1 (- z t))))
0.3b	(* (- x y) (/ 1 (- z t)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--`
5×	`associate-/r*`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-*l/` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `fma-udef` `inv-pow`

Counts

4 → 135

Calls

4 calls:

14.0ms	(/ 1 (- z t))
0.0ms	(fma 120.0 a (* 60.0 (* (- x y) (/ 1 (- z t)))))
58.0ms	(* 60.0 (* (- x y) (/ 1 (- z t))))
53.0ms	(* (- x y) (/ 1 (- z t)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ 1 (- z t))
111.0ms	(fma 120.0 a (* 60.0 (* (- x y) (/ 1 (- z t)))))
69.0ms	(* 60.0 (* (- x y) (/ 1 (- z t))))
65.0ms	(* (- x y) (/ 1 (- z t)))

simplify1.3s

Counts

147 → 147

Iterations

Useful iterations: 2 (208.0ms)

Iter	Nodes	Cost
0	187	1728
1	421	1422
2	1284	1234
done	5000	1234

prune381.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes183.0ms

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

sample704.0ms

Algorithm

intervals

Results

284.0ms	8587×	body	80	valid
6.0ms	41×	body	1280	valid
4.0ms	23×	body	2560	valid
4.0ms	31×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	10×	body	160	valid