Details

sample62.0ms

Algorithm

intervals

Results

27.0ms	310×	body	80	valid
3.0ms	12×	body	640	valid
1.0ms	5×	body	320	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid

simplify14.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
6	3019
5	1189
4	515
3	166
2	50
1	21
0	12

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite634.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-sqr-sqrt`
195×	`prod-diff`
191×	`*-un-lft-identity`
185×	`add-cube-cbrt`
146×	`times-frac`
82×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
16×	`div-inv`
13×	`fma-neg`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 304

Calls

4 calls:

124.0ms	(- (/ 2.0 3.0) z)
52.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
61.0ms	(* (- y x) 6.0)
223.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series370.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (/ 2.0 3.0) z)
116.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
57.0ms	(* (- y x) 6.0)
151.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify9.1s

Counts

316 → 316

Iterations

Iter	Nodes
done	5004
2	3211
1	1106
0	400

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

30.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.9s

Counts

4 → 12

Calls

4 calls:

677.0ms	(* (cbrt x) (cbrt x))
397.0ms	(cbrt x)
445.0ms	(cbrt x)
397.0ms	(cbrt x)

simplify8.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5005
4	4247
3	1097
2	382
1	141
0	65

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize154.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(* (- y x) 6.0)
0.3b	(fma (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) (* (- y x) 6.0) x)
1.0b	(/ 2.0 (cbrt 3.0))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
23×	`add-cube-cbrt`
18×	`times-frac`
12×	`cbrt-prod`
10×	`add-exp-log` `associate-l`
9×	`add-cbrt-cube`
8×	`pow1`
6×	`associate-r` `associate-/r*`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

4 → 99

Calls

4 calls:

43.0ms	(* (- y x) 6.0)
44.0ms	(* (- y x) 6.0)
1.0ms	(fma (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) (* (- y x) 6.0) x)
12.0ms	(/ 2.0 (cbrt 3.0))

series635.0ms

Counts

4 → 10

Calls

4 calls:

309.0ms	(* (- y x) 6.0)
80.0ms	(* (- y x) 6.0)
232.0ms	(fma (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) (* (- y x) 6.0) x)
0.0ms	(/ 2.0 (cbrt 3.0))

simplify12.8s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
3	2373
2	674
1	284
0	146

prune4.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0) x)
0.0b	(* (- y x) 6.0)
0.2b	(* (- y x) (- (/ 2.0 3.0) z))
0.3b	(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)

rewrite758.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
83×	`*-un-lft-identity`
78×	`prod-diff`
77×	`add-cube-cbrt`
55×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-*l/`
13×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
12×	`associate-r`
11×	`associate-l`
8×	`frac-times`
6×	`div-inv` `add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `difference-of-squares`
3×	`*-commutative` `distribute-lft-out--`
2×	`sub-neg` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

4 → 181

Calls

4 calls:

145.0ms	(+ (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0) x)
44.0ms	(* (- y x) 6.0)
156.0ms	(* (- y x) (- (/ 2.0 3.0) z))
295.0ms	(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)

series752.0ms

Counts

4 → 12

Calls

4 calls:

403.0ms	(+ (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0) x)
113.0ms	(* (- y x) 6.0)
154.0ms	(* (- y x) (- (/ 2.0 3.0) z))
81.0ms	(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)

simplify5.6s

Counts

193 → 193

Iterations

Iter	Nodes
done	5002
2	2601
1	847
0	342

prune3.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes1.3s

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	25
1	25
0	18

end0.0ms

sample8.0s

Algorithm

intervals

Results

6.4s	9395×	body	80	valid
504.0ms	103×	body	160	valid
226.0ms	259×	body	640	valid
177.0ms	162×	body	1280	valid
174.0ms	189×	body	320	valid