Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	30×	body	1280	valid
8.0ms	170×	body	80	valid
6.0ms	32×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	12×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
4	17
3	16
2	12
1	8
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 63

Calls

2 calls:

25.0ms	(* (/ (sin y) y) x)
7.0ms	(/ (sin y) y)

series78.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* (/ (sin y) y) x)
31.0ms	(/ (sin y) y)

simplify589.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1139
1	239
0	104

prune308.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube` `associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`times-frac` `add-cube-cbrt`
9×	`pow1`
7×	`cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`div-inv`

Counts

2 → 64

Calls

2 calls:

31.0ms	(* (* (sin y) (/ 1 y)) x)
17.0ms	(* (sin y) (/ 1 y))

series78.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* (* (sin y) (/ 1 y)) x)
36.0ms	(* (sin y) (/ 1 y))

simplify3.8s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	2903
1	313
0	121

prune263.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

12.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series550.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
136.0ms	(cbrt (sin y))
137.0ms	(cbrt (sin y))
123.0ms	(cbrt (sin y))

simplify1.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	717
1	182
0	79

prune417.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin y) x)
7.2b	(/ (* (sin y) x) y)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1`
3×	`associate-/r` `times-frac` `associate-r` `associate-l*`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

15.0ms	(* (sin y) x)
18.0ms	(/ (* (sin y) x) y)

series122.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (sin y) x)
70.0ms	(/ (* (sin y) x) y)

simplify403.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5001
2	1035
1	170
0	76

prune228.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample1.7s

Algorithm

intervals

Results

470.0ms	540×	body	320	valid
386.0ms	935×	body	1280	valid
295.0ms	1011×	body	640	valid
262.0ms	5186×	body	80	valid
128.0ms	328×	body	160	valid