Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	278×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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)))
0.2b	(/ (* 60.0 (- x y)) (- z t))

rewrite101.0ms

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:

40.0ms	(* 60.0 (- x y))
0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
55.0ms	(/ (* 60.0 (- x y)) (- z t))

series248.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* 60.0 (- x y))
109.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
98.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify974.0ms

Counts

96 → 96

Iterations

Useful iterations: done (970.0ms)

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

prune420.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

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:

1.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
39.0ms	(/ (- x y) (- z t))
56.0ms	(* 60.0 (/ (- x y) (- z t)))

series291.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
77.0ms	(/ (- x y) (- z t))
88.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify862.0ms

Counts

125 → 125

Iterations

Useful iterations: done (857.0ms)

Iter	Nodes	Cost
0	164	1547
1	420	1484
2	1617	1370
done	5000	1366

prune565.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
37×	`add-cube-cbrt`
32×	`add-exp-log`
30×	`times-frac`
26×	`associate-r`
20×	`add-cbrt-cube`
18×	`prod-diff`
13×	`prod-exp`
12×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-*r/` `cbrt-unprod`
6×	`div-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `sub-neg` `associate-l/` `-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `un-div-inv` `fma-udef` `inv-pow` `unswap-sqr`

Counts

4 → 151

Calls

4 calls:

25.0ms	(* 60.0 (- x y))
13.0ms	(/ 1 (- z t))
0.0ms	(fma 120.0 a (* (* 60.0 (- x y)) (/ 1 (- z t))))
59.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* 60.0 (- x y))
44.0ms	(/ 1 (- z t))
103.0ms	(fma 120.0 a (* (* 60.0 (- x y)) (/ 1 (- z t))))
67.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

simplify3.3s

Counts

163 → 163

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	239	2129
1	620	1798
2	3350	1463
done	5001	1425

prune756.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

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:

1.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
33.0ms	(/ (- z t) (- x y))
36.0ms	(/ 60.0 (/ (- z t) (- x y)))

series603.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
78.0ms	(/ (- z t) (- x y))
383.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.8s

Counts

217 → 217

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	294	3708
1	777	3522
2	3924	3360
done	5001	3352

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes633.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.8s

Algorithm

intervals

Results

995.0ms	8525×	body	80	valid
49.0ms	46×	body	1280	valid
8.0ms	33×	body	640	valid
8.0ms	20×	body	2560	valid
4.0ms	26×	body	320	valid
1.0ms	7×	body	160	valid