Details

sample93.0ms

Algorithm

intervals

Results

26.0ms	29×	body	1280	valid
23.0ms	182×	body	80	valid
15.0ms	26×	body	640	valid
4.0ms	10×	body	320	valid
2.0ms	9×	body	160	valid

simplify243.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	36	9
4	42	9
5	51	9
6	61	9
7	71	9
8	85	9
9	101	9
10	114	9
11	117	9
done	117	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.0b	(+ x (cos y))
0.1b	(* z (sin y))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

84.0ms	(- (+ x (cos y)) (* z (sin y)))
12.0ms	(+ x (cos y))
10.0ms	(* z (sin y))

series160.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(- (+ x (cos y)) (* z (sin y)))
37.0ms	(+ x (cos y))
45.0ms	(* z (sin y))

simplify1.4s

Counts

53 → 53

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	84	477
1	199	446
2	520	420
3	1623	420
done	5001	420

prune260.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cos y))
0.1b	(* z (sin y))
0.2b	(pow (+ x (cos y)) 3)
18.4b	(cbrt (pow (+ x (cos y)) 3))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`cbrt-prod` `add-sqr-sqrt`
12×	`add-cube-cbrt`
8×	`unpow-prod-down` `cube-prod`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`distribute-lft-out`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-r` `associate-l` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

13.0ms	(+ x (cos y))
12.0ms	(* z (sin y))
10.0ms	(pow (+ x (cos y)) 3)
19.0ms	(cbrt (pow (+ x (cos y)) 3))

series162.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ x (cos y))
46.0ms	(* z (sin y))
50.0ms	(pow (+ x (cos y)) 3)
31.0ms	(cbrt (pow (+ x (cos y)) 3))

simplify4.3s

Counts

94 → 94

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	120	945
1	277	756
2	810	693
3	4589	677
done	5001	677

prune393.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (- (pow x 2) (pow (cos y) 2)) (- x (cos y))) (* z (sin y)))
0.1b	(* z (sin y))
0.2b	(pow (cos y) 2)
13.5b	(/ (- (pow x 2) (pow (cos y) 2)) (- x (cos y)))

rewrite507.0ms

Algorithm

rewrite-expression-head

Rules

178×	`add-sqr-sqrt`
118×	`difference-of-squares`
105×	`times-frac`
104×	`*-un-lft-identity`
63×	`unpow-prod-down`
49×	`unpow2` `sqr-pow`
36×	`add-cube-cbrt`
34×	`distribute-lft-out--`
21×	`associate-/l*`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
5×	`associate-/r*`
3×	`pow-unpow` `flip3--` `associate-r` `associate-l` `flip--`
2×	`div-sub` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `associate--l-` `pow-to-exp` `sub-neg` `pow-pow` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 197

Calls

4 calls:

379.0ms	(- (/ (- (pow x 2) (pow (cos y) 2)) (- x (cos y))) (* z (sin y)))
10.0ms	(* z (sin y))
4.0ms	(pow (cos y) 2)
102.0ms	(/ (- (pow x 2) (pow (cos y) 2)) (- x (cos y)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(- (/ (- (pow x 2) (pow (cos y) 2)) (- x (cos y))) (* z (sin y)))
46.0ms	(* z (sin y))
25.0ms	(pow (cos y) 2)
89.0ms	(/ (- (pow x 2) (pow (cos y) 2)) (- x (cos y)))

simplify1.0s

Counts

209 → 209

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	351	4399
1	764	3914
2	1534	2837
done	5000	2801

prune615.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (cos y) x) (+ (cos y) x))
0.2b	(* (* z (sin y)) (* z (sin y)))
1.5b	(- (* (+ (cos y) x) (+ (cos y) x)) (* (* z (sin y)) (* z (sin y))))
18.6b	(/ (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z (sin y)) (* z (sin y)))) (+ (* z (sin y)) (+ (cos y) x)))

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
31×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`add-cube-cbrt`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
7×	`flip3-+` `swap-sqr` `flip-+`
6×	`distribute-lft-out` `add-log-exp`
5×	`associate-r` `associate-l` `pow-sqr` `pow-prod-up` `difference-of-squares`
4×	`frac-times` `associate-/l*`
3×	`pow-plus` `associate-/r*`
2×	`pow2` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

57.0ms	(* (+ (cos y) x) (+ (cos y) x))
57.0ms	(* (* z (sin y)) (* z (sin y)))
59.0ms	(- (* (+ (cos y) x) (+ (cos y) x)) (* (* z (sin y)) (* z (sin y))))
138.0ms	(/ (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z (sin y)) (* z (sin y)))) (+ (* z (sin y)) (+ (cos y) x)))

series503.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (+ (cos y) x) (+ (cos y) x))
62.0ms	(* (* z (sin y)) (* z (sin y)))
160.0ms	(- (* (+ (cos y) x) (+ (cos y) x)) (* (* z (sin y)) (* z (sin y))))
230.0ms	(/ (- (* (+ (cos y) x) (+ (cos y) x)) (* (* z (sin y)) (* z (sin y)))) (+ (* z (sin y)) (+ (cos y) x)))

simplify1.7s

Counts

137 → 137

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	198	3099
1	546	2732
2	2400	2463
done	5000	2135

prune583.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes238.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

994.0ms	5611×	body	80	valid
699.0ms	983×	body	1280	valid
343.0ms	808×	body	640	valid
101.0ms	397×	body	320	valid
78.0ms	200×	body	160	valid
1.0ms	1×	body	2560	valid