Details

sample31.0ms

Algorithm

intervals

Results

12.0ms

305×

body

valid

simplify607.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
10.9b	(/ (* x (+ y z)) z)

rewrite71.0ms

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:

40.0ms	(* x (+ y z))
28.0ms	(/ (* x (+ y z)) z)

series91.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* x (+ y z))
55.0ms	(/ (* x (+ y z)) z)

simplify635.0ms

Counts: 52 → 52

prune114.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
1.4b	(/ x (/ z (+ y z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
16×	`distribute-lft-out`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 123

Calls

2 calls:

22.0ms	(/ z (+ y z))
17.0ms	(/ x (/ z (+ y z)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ z (+ y z))
59.0ms	(/ x (/ z (+ y z)))

simplify822.0ms

Counts: 129 → 129

prune308.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ y z) z)
1.5b	(* x (/ (+ y z) z))

rewrite65.0ms

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:

23.0ms	(/ (+ y z) z)
40.0ms	(* x (/ (+ y z) z))

series70.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ (+ y z) z)
50.0ms	(* x (/ (+ y z) z))

simplify1.4s

Counts: 74 → 74

prune175.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (+ y z))
0.2b	(/ 1 (/ (/ z (+ y z)) x))
1.4b	(/ (/ z (+ y z)) x)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

648×	`times-frac`
398×	`*-un-lft-identity`
294×	`add-sqr-sqrt` `add-cube-cbrt`
65×	`associate-/r*`
52×	`distribute-lft-out`
35×	`associate-/r/`
31×	`add-exp-log`
24×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
17×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 383

Calls

3 calls:

22.0ms	(/ z (+ y z))
41.0ms	(/ 1 (/ (/ z (+ y z)) x))
23.0ms	(/ (/ z (+ y z)) x)

series182.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ z (+ y z))
53.0ms	(/ 1 (/ (/ z (+ y z)) x))
80.0ms	(/ (/ z (+ y z)) x)

simplify629.0ms

Counts: 392 → 392

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (2.9b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch123.0ms

Steps

Iters	Range		Point
11	1.4740261851264297e+145	6.452728071552676e+167	2.871906439667942e+163
9	1.3224338865842176e+100	1.917308186602207e+106	8.331233029980697e+104

simplify1.0s

end0.0ms

sample895.0ms

Algorithm

intervals

Results

432.0ms

9611×

body

valid