Details

sample51.0ms

Algorithm

intervals

Results

20.0ms	268×	body	80	valid
1.0ms	2×	body	2560	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	13	13
1	22	13
2	39	12
3	67	12
4	122	12
5	201	12
6	293	12
7	361	12
8	504	12
9	972	12
10	3182	12
done	5000	12

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

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

Counts

3 → 87

Calls

3 calls:

47.0ms	(* 60.0 (- x y))
1.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
41.0ms	(/ (* 60.0 (- x y)) (- z t))

series312.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* 60.0 (- x y))
135.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
121.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.1s

Counts

96 → 96

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	180	1315
1	442	1132
2	1837	942
done	5001	910

prune324.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite128.0ms

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

Counts

3 → 116

Calls

3 calls:

34.0ms	(/ (- x y) (- z t))
1.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
88.0ms	(* 60.0 (/ (- x y) (- z t)))

series318.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ (- x y) (- z t))
137.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
103.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify1.0s

Counts

125 → 125

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	164	1547
1	420	1484
2	1618	1370
done	5000	1366

prune603.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
0.5b	(/ 60.0 (/ (- z t) (- x y)))

rewrite94.0ms

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-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`div-sub` `fma-udef`

Counts

3 → 208

Calls

3 calls:

50.0ms	(/ (- z t) (- x y))
0.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
30.0ms	(/ 60.0 (/ (- z t) (- x y)))

series650.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ (- z t) (- x y))
154.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
424.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.9s

Counts

217 → 217

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	294	3708
1	777	3522
2	3928	3360
done	5000	3352

prune926.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x y))
0.0b	(fma 120.0 a (/ 60.0 (* (- z t) (/ 1 (- x y)))))
0.3b	(* (- z t) (/ 1 (- x y)))
0.5b	(/ 60.0 (* (- z t) (/ 1 (- x y))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`times-frac`
32×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
11×	`div-exp`
10×	`associate-/r/`
8×	`prod-exp` `distribute-lft-out--` `difference-of-squares`
7×	`pow1`
6×	`cbrt-undiv` `flip3--` `associate-/r` `flip--` `associate-/l`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `associate-*l/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `clear-num` `un-div-inv`
1×	`pow-flip` `pow-prod-down` `*-commutative` `fma-udef` `inv-pow`

Counts

4 → 138

Calls

4 calls:

17.0ms	(/ 1 (- x y))
1.0ms	(fma 120.0 a (/ 60.0 (* (- z t) (/ 1 (- x y)))))
75.0ms	(* (- z t) (/ 1 (- x y)))
24.0ms	(/ 60.0 (* (- z t) (/ 1 (- x y))))

series703.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ 1 (- x y))
144.0ms	(fma 120.0 a (/ 60.0 (* (- z t) (/ 1 (- x y)))))
100.0ms	(* (- z t) (/ 1 (- x y)))
419.0ms	(/ 60.0 (* (- z t) (/ 1 (- x y))))

simplify6.4s

Counts

150 → 150

Iterations

Useful iterations: 2 (789.0ms)

Iter	Nodes	Cost
0	198	1783
1	481	1604
2	3971	1297
done	5000	1297

prune545.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes271.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	13	12
done	13	12

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s	8515×	body	80	valid
12.0ms	33×	body	640	valid
11.0ms	43×	body	1280	valid
9.0ms	28×	body	2560	valid
3.0ms	23×	body	320	valid
2.0ms	14×	body	160	valid