Details

sample57.0ms

Algorithm

intervals

Results

14.0ms	31×	body	1280	valid
12.0ms	165×	body	80	valid
11.0ms	35×	body	640	valid
2.0ms	11×	body	320	valid
2.0ms	14×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

42.0ms	(* x (/ (sin y) y))
13.0ms	(/ (sin y) y)

series99.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* x (/ (sin y) y))
35.0ms	(/ (sin y) y)

simplify46.0ms

Counts: 65 → 65

prune140.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (sin y) y) x)
0.1b	(/ (sin y) y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

20.0ms	(* (/ (sin y) y) x)
8.0ms	(/ (sin y) y)

series70.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (/ (sin y) y) x)
27.0ms	(/ (sin y) y)

simplify66.0ms

Counts: 65 → 65

prune136.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* (sin y) (/ 1 y)) x)
0.3b	(* (sin y) (/ 1 y))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`associate-r` `add-cbrt-cube`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
9×	`pow1`
7×	`cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `associate-l/` `un-div-inv` `*-commutative` `add-log-exp`
1×	`div-inv`

Counts

2 → 60

Calls

2 calls:

41.0ms	(* (* (sin y) (/ 1 y)) x)
18.0ms	(* (sin y) (/ 1 y))

series90.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (* (sin y) (/ 1 y)) x)
27.0ms	(* (sin y) (/ 1 y))

simplify106.0ms

Counts: 66 → 66

prune175.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series621.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt y)
150.0ms	(cbrt (sin y))
134.0ms	(cbrt (sin y))
130.0ms	(cbrt (sin y))

simplify139.0ms

Counts: 56 → 56

prune172.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

800.0ms	5176×	body	80	valid
407.0ms	931×	body	1280	valid
319.0ms	985×	body	640	valid
104.0ms	557×	body	320	valid
45.0ms	351×	body	160	valid