Details

sample61.0ms

Algorithm

intervals

Results

17.0ms	30×	body	1280	valid
13.0ms	174×	body	80	valid
11.0ms	31×	body	640	valid
4.0ms	13×	body	320	valid
1.0ms	8×	body	160	valid

simplify10.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

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))

rewrite72.0ms

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:

52.0ms	(- (+ x (cos y)) (* z (sin y)))
7.0ms	(+ x (cos y))
11.0ms	(* z (sin y))

series184.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(- (+ x (cos y)) (* z (sin y)))
41.0ms	(+ x (cos y))
48.0ms	(* z (sin y))

simplify53.0ms

Counts: 53 → 53

prune235.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cos y))
0.1b	(* z (sin y))
0.2b	(pow (* z (sin y)) 3)
33.0b	(cbrt (pow (* z (sin y)) 3))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

6.0ms	(+ x (cos y))
9.0ms	(* z (sin y))
15.0ms	(pow (* z (sin y)) 3)
6.0ms	(cbrt (pow (* z (sin y)) 3))

series274.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ x (cos y))
70.0ms	(* z (sin y))
106.0ms	(pow (* z (sin y)) 3)
70.0ms	(cbrt (pow (* z (sin y)) 3))

simplify175.0ms

Counts: 81 → 81

prune303.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (sin y)) (* z (sin y)))
0.3b	(* (cbrt (* z (sin y))) (cbrt (* (* z (sin y)) (* z (sin y)))))
8.7b	(cbrt (* z (sin y)))
29.9b	(cbrt (* (* z (sin y)) (* z (sin y))))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
19×	`pow-prod-down`
18×	`add-exp-log`
16×	`add-cbrt-cube`
9×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
6×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r` `associate-l`
4×	`pow1/3` `pow-sqr` `pow-prod-up` `add-log-exp`
2×	`pow-plus` `*-commutative` `unswap-sqr`
1×	`pow2` `cube-unmult` `swap-sqr`

Counts

4 → 75

Calls

4 calls:

63.0ms	(* (* z (sin y)) (* z (sin y)))
61.0ms	(* (cbrt (* z (sin y))) (cbrt (* (* z (sin y)) (* z (sin y)))))
4.0ms	(cbrt (* z (sin y)))
28.0ms	(cbrt (* (* z (sin y)) (* z (sin y))))

series499.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (* z (sin y)) (* z (sin y)))
75.0ms	(* (cbrt (* z (sin y))) (cbrt (* (* z (sin y)) (* z (sin y)))))
170.0ms	(cbrt (* z (sin y)))
179.0ms	(cbrt (* (* z (sin y)) (* z (sin y))))

simplify107.0ms

Counts: 87 → 87

prune310.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos y) (- (cos y) x))
0.1b	(* z (sin y))
0.4b	(pow (cos y) 3)
19.8b	(/ (+ (pow x 3) (pow (cos y) 3)) (+ (* (cos y) (- (cos y) x)) (* x x)))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
27×	`times-frac`
25×	`add-cube-cbrt`
20×	`distribute-lft-out`
19×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `associate-/l*`
8×	`associate-r`
6×	`associate-l`
4×	`sum-cubes` `add-log-exp`
3×	`pow-unpow` `associate-/r*`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `associate-/r/` `-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `unpow3` `div-exp` `pow-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 122

Calls

4 calls:

42.0ms	(* (cos y) (- (cos y) x))
19.0ms	(* z (sin y))
8.0ms	(pow (cos y) 3)
148.0ms	(/ (+ (pow x 3) (pow (cos y) 3)) (+ (* (cos y) (- (cos y) x)) (* x x)))

series331.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (cos y) (- (cos y) x))
63.0ms	(* z (sin y))
58.0ms	(pow (cos y) 3)
139.0ms	(/ (+ (pow x 3) (pow (cos y) 3)) (+ (* (cos y) (- (cos y) x)) (* x x)))

simplify80.0ms

Counts: 134 → 134

prune487.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes158.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	1028×	body	1280	valid
637.0ms	5579×	body	80	valid
353.0ms	794×	body	640	valid
194.0ms	396×	body	320	valid
39.0ms	203×	body	160	valid