Details

sample34.0ms

Algorithm

intervals

Results

16.0ms	272×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	3320
9	1009
8	523
7	380
6	312
5	207
4	122
3	67
2	39
1	22
0	13

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(fma a 120.0 (/ (* 60.0 (- x y)) (- z t)))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite47.0ms

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-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `times-frac` `associate-r*`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `log1p-expm1-u` `flip--` `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×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 87

Calls

3 calls:

18.0ms	(* 60.0 (- x y))
0.0ms	(fma a 120.0 (/ (* 60.0 (- x y)) (- z t)))
23.0ms	(/ (* 60.0 (- x y)) (- z t))

series209.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* 60.0 (- x y))
98.0ms	(fma a 120.0 (/ (* 60.0 (- x y)) (- z t)))
66.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify836.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1840
1	442
0	181

prune490.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

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`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `fma-udef`

Counts

3 → 116

Calls

3 calls:

23.0ms	(/ (- x y) (- z t))
0.0ms	(fma a 120.0 (* 60.0 (/ (- x y) (- z t))))
35.0ms	(* 60.0 (/ (- x y) (- z t)))

series260.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (- x y) (- z t))
107.0ms	(fma a 120.0 (* 60.0 (/ (- x y) (- z t))))
83.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify812.0ms

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
2	1615
1	420
0	165

prune691.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma a 120.0 (/ 60.0 (/ (- z t) (- x y))))
0.0b	(/ (- z t) (- x y))
0.8b	(/ 60.0 (/ (- z t) (- x y)))

rewrite100.0ms

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--`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`div-sub` `fma-udef`

Counts

3 → 208

Calls

3 calls:

0.0ms	(fma a 120.0 (/ 60.0 (/ (- z t) (- x y))))
38.0ms	(/ (- z t) (- x y))
41.0ms	(/ 60.0 (/ (- z t) (- x y)))

series519.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(fma a 120.0 (/ 60.0 (/ (- z t) (- x y))))
66.0ms	(/ (- z t) (- x y))
342.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.2s

Counts

217 → 217

Iterations

Iter	Nodes
done	5000
2	3924
1	777
0	295

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) 60.0)
0.0b	(fma a 120.0 (/ 1 (/ (/ (- z t) 60.0) (- x y))))
0.2b	(/ (/ (- z t) 60.0) (- x y))
0.8b	(/ 1 (/ (/ (- z t) 60.0) (- x y)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

1183×	`times-frac`
806×	`add-sqr-sqrt` `*-un-lft-identity`
450×	`add-cube-cbrt`
178×	`distribute-lft-out--` `difference-of-squares`
109×	`associate-/r*`
33×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
11×	`associate-/r/`
10×	`cbrt-undiv`
6×	`flip3--` `flip--`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `div-sub` `associate-/l/`
1×	`fma-udef` `pow-flip` `inv-pow`

Counts

4 → 623

Calls

4 calls:

14.0ms	(/ (- z t) 60.0)
0.0ms	(fma a 120.0 (/ 1 (/ (/ (- z t) 60.0) (- x y))))
40.0ms	(/ (/ (- z t) 60.0) (- x y))
41.0ms	(/ 1 (/ (/ (- z t) 60.0) (- x y)))

series731.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (- z t) 60.0)
163.0ms	(fma a 120.0 (/ 1 (/ (/ (- z t) 60.0) (- x y))))
93.0ms	(/ (/ (- z t) 60.0) (- x y))
436.0ms	(/ 1 (/ (/ (- z t) 60.0) (- x y)))

simplify1.5s

Counts

635 → 635

Iterations

Iter	Nodes
done	5000
1	2031
0	712

prune2.9s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes701.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s	8518×	body	80	valid
14.0ms	42×	body	1280	valid
11.0ms	28×	body	2560	valid
10.0ms	38×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	11×	body	160	valid