Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

312×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	16	7
2	22	7
3	33	7
4	38	7
5	44	7
6	48	7
7	114	7
8	254	7
9	587	7
10	1391	7
11	3130	7
done	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
12.8b	(/ (* x (+ y z)) z)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`pow1` `associate-r/` `associate-r*`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

27.0ms	(* x (+ y z))
16.0ms	(/ (* x (+ y z)) z)

series97.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* x (+ y z))
52.0ms	(/ (* x (+ y z)) z)

simplify991.0ms

Counts

52 → 52

Iterations

Useful iterations: done (990.0ms)

Iter	Nodes	Cost
0	85	458
1	244	434
2	1285	382
done	5000	376

prune102.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ y z) z)
3.1b	(* x (/ (+ y z) z))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
16×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
4×	`pow1` `associate-/l*`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+`

Counts

2 → 68

Calls

2 calls:

21.0ms	(/ (+ y z) z)
30.0ms	(* x (/ (+ y z) z))

series72.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (+ y z) z)
46.0ms	(* x (/ (+ y z) z))

simplify599.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (157.0ms)

Iter	Nodes	Cost
0	97	719
1	251	689
2	1057	623
done	5000	623

prune535.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ y z))
0.5b	(cbrt (+ y z))
0.5b	(* (cbrt (+ y z)) (cbrt (+ y z)))
1.1b	(* x (/ (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt z) (cbrt z))))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
32×	`cbrt-prod`
27×	`add-sqr-sqrt`
24×	`add-exp-log`
16×	`add-cube-cbrt` `cbrt-div`
14×	`add-cbrt-cube`
13×	`pow1`
12×	`associate-r`
10×	`associate-l` `prod-exp` `cbrt-unprod`
9×	`swap-sqr`
8×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
6×	`unswap-sqr`
4×	`cbrt-undiv` `frac-times` `div-exp` `add-log-exp`
3×	`associate-*r/` `pow-prod-down`
2×	`times-frac` `associate-l/` `pow-sqr` `-commutative` `pow-prod-up`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 111

Calls

4 calls:

7.0ms	(cbrt (+ y z))
4.0ms	(cbrt (+ y z))
54.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
90.0ms	(* x (/ (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt z) (cbrt z))))

series834.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (+ y z))
193.0ms	(cbrt (+ y z))
254.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
203.0ms	(* x (/ (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt z) (cbrt z))))

simplify1.7s

Counts

123 → 123

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	190	1833
1	519	1630
2	2801	1454
done	5000	1403

prune470.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

3.1b	(* x (+ (/ y z) 1))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

96.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify582.0ms

Counts

26 → 26

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	48	250
1	159	237
2	729	211
done	5000	211

prune82.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	25
1	15	25
done	15	25

end0.0ms

sample951.0ms

Algorithm

intervals

Results

430.0ms

9607×

body

valid