Details

sample17.0ms

Algorithm

intervals

Results

6.0ms

334×

body

valid

simplify18.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	28	3
3	40	3
4	50	3
5	73	3
6	102	3
7	118	3
8	145	3
9	174	3
10	190	3
11	190	3
done	190	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`times-frac`
13×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`fma-def` `associate-/r*`
2×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 58

Calls

2 calls:

20.0ms	(+ x (/ (- y x) z))
17.0ms	(/ (- y x) z)

series56.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ x (/ (- y x) z))
33.0ms	(/ (- y x) z)

simplify64.0ms

Counts

64 → 64

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	230	286
1	705	273
2	3068	273
3	5001	273
done	5001	273

prune115.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ 1 z)))
0.2b	(* (- y x) (/ 1 z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `times-frac`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`fma-def` `unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `flip3--` `div-exp` `associate-*l/` `flip--` `cbrt-unprod` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 60

Calls

2 calls:

7.0ms	(+ x (* (- y x) (/ 1 z)))
30.0ms	(* (- y x) (/ 1 z))

series52.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ x (* (- y x) (/ 1 z)))
28.0ms	(* (- y x) (/ 1 z))

simplify36.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	306	322
1	1269	279
2	5002	264
done	5002	264

prune120.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y x)) (cbrt (- y x)))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

38.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
4.0ms	(cbrt (- y x))
4.0ms	(cbrt (- y x))
4.0ms	(cbrt (- y x))

series578.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
149.0ms	(cbrt (- y x))
149.0ms	(cbrt (- y x))
150.0ms	(cbrt (- y x))

simplify162.0ms

Counts

121 → 121

Iterations

Useful iterations: 3 (154.0ms)

Iter	Nodes	Cost
0	270	790
1	948	753
2	4624	700
3	5001	694
done	5001	694

prune304.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3
done	7	3

end0.0ms

sample456.0ms

Algorithm

intervals

Results

187.0ms

10165×

body

valid