Details

sample43.0ms

Algorithm

intervals

Results

17.0ms	268×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid

simplify4.2s

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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))

rewrite14.0ms

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/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 49

Calls

2 calls:

12.0ms	(/ 60.0 (- z t))
0.0ms	(fma (/ 60.0 (- z t)) (- x y) (* a 120.0))

series244.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ 60.0 (- z t))
183.0ms	(fma (/ 60.0 (- z t)) (- x y) (* a 120.0))

simplify1.5s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
3	1484
2	496
1	187
0	98

prune451.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite55.0ms

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` `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 → 152

Calls

3 calls:

28.0ms	(/ (- z t) 60.0)
0.0ms	(fma (/ 1 (/ (- z t) 60.0)) (- x y) (* a 120.0))
15.0ms	(/ 1 (/ (- z t) 60.0))

series325.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- z t) 60.0)
206.0ms	(fma (/ 1 (/ (- z t) 60.0)) (- x y) (* a 120.0))
69.0ms	(/ 1 (/ (- z t) 60.0))

simplify2.3s

Counts

161 → 161

Iterations

Iter	Nodes
done	5087
3	3285
2	1211
1	530
0	219

prune986.0ms

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

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

370×	`times-frac`
304×	`add-sqr-sqrt` `*-un-lft-identity`
152×	`add-cube-cbrt`
100×	`fma-def`
76×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
14×	`div-inv`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `div-sub` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3--` `associate-/r/` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `associate-+l-` `flip-+`

Counts

3 → 293

Calls

3 calls:

15.0ms	(/ (- z t) 60.0)
168.0ms	(+ (/ (- x y) (/ (- z t) 60.0)) (* a 120.0))
54.0ms	(/ (- x y) (/ (- z t) 60.0))

series337.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (- z t) 60.0)
210.0ms	(+ (/ (- x y) (/ (- z t) 60.0)) (* a 120.0))
94.0ms	(/ (- x y) (/ (- z t) 60.0))

simplify2.2s

Counts

302 → 302

Iterations

Iter	Nodes
done	5001
2	2605
1	906
0	290

prune2.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) 60.0)
0.0b	(+ (/ 1 (/ (/ (- z t) 60.0) (- x y))) (* a 120.0))
0.2b	(/ (/ (- z t) 60.0) (- x y))
0.9b	(/ 1 (/ (/ (- z t) 60.0) (- x y)))

rewrite625.0ms

Algorithm

rewrite-expression-head

Rules

1996×	`times-frac`
1307×	`add-sqr-sqrt` `*-un-lft-identity`
747×	`add-cube-cbrt`
308×	`fma-def`
280×	`distribute-lft-out--` `difference-of-squares`
109×	`associate-/r*`
52×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`associate-/r/`
10×	`cbrt-undiv`
9×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `div-sub` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 934

Calls

4 calls:

28.0ms	(/ (- z t) 60.0)
370.0ms	(+ (/ 1 (/ (/ (- z t) 60.0) (- x y))) (* a 120.0))
37.0ms	(/ (/ (- z t) 60.0) (- x y))
60.0ms	(/ 1 (/ (/ (- z t) 60.0) (- x y)))

series719.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (- z t) 60.0)
190.0ms	(+ (/ 1 (/ (/ (- z t) 60.0) (- x y))) (* a 120.0))
91.0ms	(/ (/ (- z t) 60.0) (- x y))
403.0ms	(/ 1 (/ (/ (- z t) 60.0) (- x y)))

simplify2.1s

Counts

946 → 946

Iterations

Iter	Nodes
done	5000
1	2044
0	723

prune5.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

698.0ms	8559×	body	80	valid
16.0ms	52×	body	1280	valid
4.0ms	14×	body	2560	valid
4.0ms	21×	body	640	valid
2.0ms	19×	body	320	valid
1.0ms	11×	body	160	valid