Details

sample32.0ms

Algorithm

intervals

Results

16.0ms	274×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

simplify4.7s

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.1b	(fma (/ 60.0 (- z t)) (- x y) (* a 120.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

10.0ms	(/ 60.0 (- z t))
0.0ms	(fma (/ 60.0 (- z t)) (- x y) (* a 120.0))

series313.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(/ 60.0 (- z t))
230.0ms	(fma (/ 60.0 (- z t)) (- x y) (* a 120.0))

simplify1.6s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
3	1525
2	500
1	189
0	100

prune379.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) 60.0)
0.1b	(fma (/ 1 (/ (- z t) 60.0)) (- x y) (* a 120.0))
0.3b	(/ 1 (/ (- z t) 60.0))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `fma-udef` `pow-flip` `flip--` `inv-pow`

Counts

3 → 155

Calls

3 calls:

29.0ms	(/ (- z t) 60.0)
0.0ms	(fma (/ 1 (/ (- z t) 60.0)) (- x y) (* a 120.0))
35.0ms	(/ 1 (/ (- z t) 60.0))

series346.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- z t) 60.0)
205.0ms	(fma (/ 1 (/ (- z t) 60.0)) (- x y) (* a 120.0))
78.0ms	(/ 1 (/ (- z t) 60.0))

simplify2.2s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
3	3333
2	1207
1	533
0	222

prune752.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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

rewrite193.0ms

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:

43.0ms	(* 60.0 (- x y))
93.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
52.0ms	(/ (* 60.0 (- x y)) (- z t))

series361.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* 60.0 (- x y))
206.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
99.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	1450
1	493
0	195

prune573.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

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))
0.3b	(/ 60.0 (/ (- z t) (- x y)))

rewrite242.0ms

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:

167.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
23.0ms	(/ (- z t) (- x y))
31.0ms	(/ 60.0 (/ (- z t) (- x y)))

series677.0ms

Counts

3 → 9

Calls

3 calls:

227.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
72.0ms	(/ (- z t) (- x y))
378.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify2.1s

Counts

321 → 321

Iterations

Iter	Nodes
done	5005
2	3072
1	840
0	309

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes927.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s	8552×	body	80	valid
42.0ms	33×	body	640	valid
34.0ms	24×	body	2560	valid
17.0ms	54×	body	1280	valid
6.0ms	19×	body	320	valid
1.0ms	6×	body	160	valid