Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

408×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 8 (1.4s)

Iter	Nodes	Cost
0	11	15
1	23	14
2	58	14
3	106	14
4	191	14
5	341	14
6	704	14
7	1618	13
8	4926	12
done	5000	12

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x z) y)
0.1b	(fma (/ (+ x z) y) (- x z) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out` `associate-/l*`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

2 → 45

Calls

2 calls:

8.0ms	(/ (+ x z) y)
0.0ms	(fma (/ (+ x z) y) (- x z) y)

series83.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (+ x z) y)
56.0ms	(fma (/ (+ x z) y) (- x z) y)

simplify1.6s

Counts

51 → 51

Iterations

Useful iterations: 4 (745.0ms)

Iter	Nodes	Cost
0	82	534
1	165	520
2	400	480
3	1026	480
4	2949	477
done	5000	477

prune149.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (* (+ x z) (/ 1 y)) (- x z) y)
0.2b	(* (+ x z) (/ 1 y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

0.0ms	(fma (* (+ x z) (/ 1 y)) (- x z) y)
15.0ms	(* (+ x z) (/ 1 y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(fma (* (+ x z) (/ 1 y)) (- x z) y)
22.0ms	(* (+ x z) (/ 1 y))

simplify2.4s

Counts

59 → 59

Iterations

Useful iterations: 3 (981.0ms)

Iter	Nodes	Cost
0	114	685
1	278	555
2	775	476
3	2764	470
done	5000	470

prune175.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x z)) (cbrt (+ x z)))
0.5b	(cbrt (+ x z))
0.5b	(cbrt (+ x z))
0.5b	(cbrt (+ x z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
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 → 103

Calls

4 calls:

19.0ms	(* (cbrt (+ x z)) (cbrt (+ x z)))
2.0ms	(cbrt (+ x z))
2.0ms	(cbrt (+ x z))
2.0ms	(cbrt (+ x z))

series658.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt (+ x z)) (cbrt (+ x z)))
153.0ms	(cbrt (+ x z))
157.0ms	(cbrt (+ x z))
150.0ms	(cbrt (+ x z))

simplify828.0ms

Counts

115 → 115

Iterations

Useful iterations: 3 (315.0ms)

Iter	Nodes	Cost
0	120	1316
1	257	1186
2	676	1128
3	1869	1051
done	5001	1051

prune390.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (+ x z) y)) (cbrt (/ (+ x z) y)))
4.4b	(cbrt (/ (+ x z) y))
4.4b	(cbrt (/ (+ x z) y))
4.4b	(cbrt (/ (+ x z) y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`swap-sqr`
19×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 176

Calls

4 calls:

36.0ms	(* (cbrt (/ (+ x z) y)) (cbrt (/ (+ x z) y)))
3.0ms	(cbrt (/ (+ x z) y))
3.0ms	(cbrt (/ (+ x z) y))
4.0ms	(cbrt (/ (+ x z) y))

series506.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (cbrt (/ (+ x z) y)) (cbrt (/ (+ x z) y)))
116.0ms	(cbrt (/ (+ x z) y))
120.0ms	(cbrt (/ (+ x z) y))
119.0ms	(cbrt (/ (+ x z) y))

simplify1.4s

Counts

188 → 188

Iterations

Useful iterations: 3 (724.0ms)

Iter	Nodes	Cost
0	199	3112
1	369	2921
2	970	2820
3	2736	2649
done	5001	2649

prune653.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes116.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	10	12
done	10	12

end0.0ms

sample753.0ms

Algorithm

intervals

Results

460.0ms

13727×

body

valid