Details

sample49.0ms

Algorithm

intervals

Results

11.0ms	279×	body	80	valid
1.0ms	3×	body	2560	valid

simplify9.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
27	4943
26	4711
25	4475
24	4250
23	4024
22	3792
21	3556
20	3331
19	3105
18	2836
17	2593
16	2368
15	2126
14	1751
13	1361
12	992
11	606
10	416
9	304
8	242
7	205
6	169
5	131
4	91
3	54
2	35
1	22
0	13

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

102.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
29.0ms	(* 60.0 (- x y))
42.0ms	(/ (* 60.0 (- x y)) (- z t))

series502.0ms

Counts

3 → 9

Calls

3 calls:

309.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
61.0ms	(* 60.0 (- x y))
131.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify2.9s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1227
1	381
0	141

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite185.0ms

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-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `insert-posit16` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 116

Calls

3 calls:

37.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
42.0ms	(/ (- x y) (- z t))
86.0ms	(* 60.0 (/ (- x y) (- z t)))

series525.0ms

Counts

3 → 9

Calls

3 calls:

265.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
131.0ms	(/ (- x y) (- z t))
128.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify3.2s

Counts

125 → 125

Iterations

Iter	Nodes
done	5002
2	1505
1	471
0	173

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.0b	(/ (- z t) (- x y))
0.6b	(/ 60.0 (/ (- z t) (- x y)))

rewrite361.0ms

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-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `insert-posit16`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+`

Counts

3 → 208

Calls

3 calls:

228.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
59.0ms	(/ (- z t) (- x y))
36.0ms	(/ 60.0 (/ (- z t) (- x y)))

series1.4s

Counts

3 → 9

Calls

3 calls:

308.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
112.0ms	(/ (- z t) (- x y))
963.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify4.7s

Counts

217 → 217

Iterations

Iter	Nodes
done	5002
2	3086
1	826
0	303

prune2.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`add-exp-log`
30×	`times-frac`
26×	`associate-r`
25×	`add-cube-cbrt`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-*r/` `cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*` `flip3--` `flip--`
4×	`associate-l` `pow-prod-down` `associate-/r/` `insert-posit16`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `un-div-inv` `flip-+` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

74.0ms	(+ (* (* 60.0 (- x y)) (/ 1 (- z t))) (* a 120.0))
33.0ms	(/ 1 (- z t))
38.0ms	(* 60.0 (- x y))
134.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

series531.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(+ (* (* 60.0 (- x y)) (/ 1 (- z t))) (* a 120.0))
56.0ms	(/ 1 (- z t))
62.0ms	(* 60.0 (- x y))
113.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

simplify3.4s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	1632
1	549
0	199

prune1.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes3.5s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample1.3s

Algorithm

intervals

Results

688.0ms	8541×	body	80	valid
16.0ms	52×	body	1280	valid
9.0ms	40×	body	640	valid
5.0ms	18×	body	2560	valid
3.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid