Details

sample45.0ms

Algorithm

intervals

Results

20.0ms	277×	body	80	valid
1.0ms	3×	body	640	valid
1.0ms	2×	body	2560	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
22	4974
21	4712
20	4407
19	4147
18	3842
17	3580
16	3270
15	2998
14	2618
13	2048
12	1486
11	1045
10	683
9	442
8	352
7	271
6	212
5	156
4	101
3	58
2	37
1	22
0	13

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `fma-def` `distribute-lft-in`
10×	`times-frac` `add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-r*` `add-log-exp`
4×	`flip3--` `associate-*r/` `associate-/r/` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `associate-/l` `unswap-sqr`

Counts

3 → 104

Calls

3 calls:

31.0ms	(* 60.0 (- x y))
42.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
22.0ms	(/ (* 60.0 (- x y)) (- z t))

series284.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* 60.0 (- x y))
156.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
90.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	1450
1	493
0	195

prune542.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

386×	`times-frac`
320×	`add-sqr-sqrt` `*-un-lft-identity`
156×	`add-cube-cbrt`
98×	`fma-def`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
18×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log` `div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+`

Counts

3 → 312

Calls

3 calls:

32.0ms	(/ (- z t) (- x y))
101.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
27.0ms	(/ 60.0 (/ (- z t) (- x y)))

series695.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- z t) (- x y))
244.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
392.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify2.3s

Counts

321 → 321

Iterations

Iter	Nodes
done	5002
2	3073
1	840
0	309

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

28.0ms	(/ (- x y) (- z t))
1.0ms	(fma (/ 60.0 1) (/ (- x y) (- z t)) (* a 120.0))

series231.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(/ (- x y) (- z t))
158.0ms	(fma (/ 60.0 1) (/ (- x y) (- z t)) (* a 120.0))

simplify2.1s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	2147
2	704
1	283
0	124

prune409.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

106×	`times-frac`
80×	`add-sqr-sqrt`
78×	`*-un-lft-identity`
58×	`add-cube-cbrt`
38×	`fma-def`
32×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`prod-diff` `associate-*r/` `associate-/r/`
14×	`div-exp`
12×	`associate-/r*`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`flip3--` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv`
6×	`add-log-exp`
5×	`associate-r` `prod-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`clear-num` `sub-neg` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `pow-prod-down` `*-commutative` `flip-+` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 207

Calls

4 calls:

22.0ms	(* 60.0 (- x y))
59.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
40.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))
41.0ms	(/ (- z t) (* 60.0 (- x y)))

series837.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* 60.0 (- x y))
248.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
430.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))
114.0ms	(/ (- z t) (* 60.0 (- x y)))

simplify1.7s

Counts

219 → 219

Iterations

Iter	Nodes
done	5000
2	2095
1	703
0	287

prune1.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes915.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s	8531×	body	80	valid
14.0ms	42×	body	1280	valid
12.0ms	43×	body	640	valid
8.0ms	16×	body	2560	valid
4.0ms	22×	body	320	valid
2.0ms	16×	body	160	valid