Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

300×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	16
5	16
4	15
3	13
2	10
1	8
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize13.0ms

Local error

Found 1 expressions with local error:

6.3b	(/ (* x y) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

8.0ms

(/ (* x y) z)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(/ (* x y) z)

simplify1.9s

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
3	2195
2	461
1	120
0	50

prune198.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

6.3b	(* (* x y) (/ 1 z))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 40

Calls

1 calls:

39.0ms

(* (* x y) (/ 1 z))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* (* x y) (/ 1 z))

simplify2.5s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	2406
2	699
1	233
0	85

prune164.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

6.6b	(/ x (/ z y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/r*`
6×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `associate-/r/` `log1p-expm1-u` `add-log-exp`

Counts

1 → 72

Calls

1 calls:

15.0ms

(/ x (/ z y))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(/ x (/ z y))

simplify1.9s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	3436
2	971
1	370
0	152

prune449.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)
4.5b	(* (/ (* (cbrt x) (cbrt x)) z) (* y (cbrt x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
48.0ms	(* (/ (* (cbrt x) (cbrt x)) z) (* y (cbrt x)))

series944.0ms

Counts

4 → 12

Calls

4 calls:

314.0ms	(cbrt x)
286.0ms	(cbrt x)
271.0ms	(cbrt x)
73.0ms	(* (/ (* (cbrt x) (cbrt x)) z) (* y (cbrt x)))

simplify4.0s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
3	4870
2	926
1	255
0	93

prune358.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes528.0ms

Accuracy

67.6% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 5.8b

bsearch1.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	20
1	20
0	18

end0.0ms

sample587.0ms

Algorithm

intervals

Results

283.0ms

9594×

body

valid