Details

sample76.0ms

Algorithm

intervals

Results

21.0ms	29×	body	1280	valid
19.0ms	182×	body	80	valid
12.0ms	26×	body	640	valid
3.0ms	10×	body	320	valid
2.0ms	9×	body	160	valid

simplify233.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	40	9
4	56	9
5	67	9
6	81	9
7	98	9
8	126	9
9	145	9
10	158	9
11	179	9
done	179	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-log-exp`
8×	`add-cube-cbrt`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`fma-neg` `prod-diff`
3×	`expm1-log1p-u` `fma-def` `associate-r` `associate-l` `log1p-expm1-u` `distribute-lft-out`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

70.0ms	(- (+ x (cos y)) (* z (sin y)))
12.0ms	(+ x (cos y))
10.0ms	(* z (sin y))

series162.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (+ x (cos y)) (* z (sin y)))
39.0ms	(+ x (cos y))
60.0ms	(* z (sin y))

simplify2.2s

Counts

70 → 70

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	96	633
1	224	600
2	587	552
3	2028	540
done	5000	513

prune241.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
14×	`cbrt-prod`
13×	`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` `expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `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 → 93

Calls

4 calls:

10.0ms	(+ x (cos y))
14.0ms	(* z (sin y))
14.0ms	(pow (+ x (cos y)) 3)
9.0ms	(cbrt (pow (+ x (cos y)) 3))

series170.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (cos y))
43.0ms	(* z (sin y))
48.0ms	(pow (+ x (cos y)) 3)
38.0ms	(cbrt (pow (+ x (cos y)) 3))

simplify4.2s

Counts

105 → 105

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	128	995
1	292	791
2	854	734
3	4818	712
done	5000	712

prune283.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
105×	`times-frac`
92×	`*-un-lft-identity`
86×	`difference-of-squares`
48×	`add-cube-cbrt`
41×	`fma-neg` `prod-diff`
22×	`distribute-lft-out--`
19×	`unpow-prod-down`
17×	`unpow2` `sqr-pow`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `associate-r` `associate-l` `div-inv`
2×	`div-sub` `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` `unswap-sqr`

Counts

4 → 203

Calls

4 calls:

164.0ms	(- (/ (- (* x x) (pow (cos y) 2)) (- x (cos y))) (* z (sin y)))
10.0ms	(* z (sin y))
8.0ms	(pow (cos y) 2)
40.0ms	(/ (- (* x x) (pow (cos y) 2)) (- x (cos y)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (/ (- (* x x) (pow (cos y) 2)) (- x (cos y))) (* z (sin y)))
43.0ms	(* z (sin y))
18.0ms	(pow (cos y) 2)
67.0ms	(/ (- (* x x) (pow (cos y) 2)) (- x (cos y)))

simplify952.0ms

Counts

215 → 215

Iterations

Useful iterations: done (946.0ms)

Iter	Nodes	Cost
0	259	4102
1	625	3796
2	1601	3073
done	5000	2950

prune804.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(expm1 (log1p (pow (cos y) 2)))
0.2b	(pow (cos y) 2)
13.5b	(/ (- (* x x) (expm1 (log1p (pow (cos y) 2)))) (- x (cos y)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
20×	`times-frac`
19×	`add-cube-cbrt`
11×	`difference-of-squares`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1`
5×	`associate-/r*` `distribute-lft-out--`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-r` `associate-l`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `expm1-log1p` `pow-pow` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unpow2` `expm1-udef` `unswap-sqr` `sqr-pow`

Counts

4 → 99

Calls

4 calls:

24.0ms	(* z (sin y))
0.0ms	(expm1 (log1p (pow (cos y) 2)))
6.0ms	(pow (cos y) 2)
37.0ms	(/ (- (* x x) (expm1 (log1p (pow (cos y) 2)))) (- x (cos y)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* z (sin y))
136.0ms	(expm1 (log1p (pow (cos y) 2)))
30.0ms	(pow (cos y) 2)
141.0ms	(/ (- (* x x) (expm1 (log1p (pow (cos y) 2)))) (- x (cos y)))

simplify2.2s

Counts

111 → 111

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	178	1616
1	391	1382
2	1027	1267
3	3708	1134
done	5001	1133

prune381.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes166.0ms

Accuracy

0% (0.0b 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	8	9
1	10	9
done	10	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

915.0ms	5611×	body	80	valid
849.0ms	983×	body	1280	valid
405.0ms	808×	body	640	valid
111.0ms	397×	body	320	valid
38.0ms	200×	body	160	valid
1.0ms	1×	body	2560	valid