Details

sample34.0ms

Algorithm

intervals

Results

15.0ms

313×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: done (4.9s)

Iter	Nodes	Cost
0	14	17
1	25	17
2	49	16
3	105	16
4	195	16
5	297	15
6	471	15
7	909	15
8	2975	15
done	5000	14

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
0.1b	(/ (fma 2.0 1.0 (/ 2.0 z)) t)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
51×	`add-sqr-sqrt` `add-cube-cbrt`
45×	`times-frac`
41×	`associate-+r+`
39×	`prod-diff`
13×	`fma-def`
7×	`add-log-exp`
5×	`div-inv`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `frac-add` `sum-log` `log1p-expm1-u` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip--` `flip-+` `distribute-lft-out--`

Counts

2 → 102

Calls

2 calls:

80.0ms	(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
6.0ms	(/ (fma 2.0 1.0 (/ 2.0 z)) t)

series149.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
59.0ms	(/ (fma 2.0 1.0 (/ 2.0 z)) t)

simplify2.7s

Counts

108 → 108

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	224	1965
1	497	1754
2	1191	1641
3	4110	1515
done	5000	1515

prune433.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

series72.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

simplify2.0s

Counts

13 → 13

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	30	241
1	56	240
2	122	191
3	383	191
4	1980	190
done	5002	189

prune58.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t)) (cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t)))
0.6b	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))
0.6b	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))
0.6b	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `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 → 152

Calls

4 calls:

44.0ms	(* (cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t)) (cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t)))
4.0ms	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))
4.0ms	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))
4.0ms	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))

series656.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t)) (cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t)))
147.0ms	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))
144.0ms	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))
140.0ms	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))

simplify2.2s

Counts

164 → 164

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	238	4017
1	484	3829
2	1315	3673
3	3527	3289
done	5000	3184

prune954.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) (cbrt t)))
0.6b	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))
0.6b	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
36×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `div-inv`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt t)
4.0ms	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) (cbrt t)))
3.0ms	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))
3.0ms	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))

series1.1s

Counts

4 → 12

Calls

4 calls:

278.0ms	(cbrt t)
434.0ms	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) (cbrt t)))
180.0ms	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))
177.0ms	(cbrt (/ (fma 2.0 1.0 (/ 2.0 z)) t))

simplify2.9s

Counts

106 → 106

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	237	2032
1	477	1973
2	1278	1873
3	4765	1740
done	5000	1740

prune843.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes336.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	13	14
done	13	14

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.4s

10397×

body

valid