Details

sample37.0ms

Algorithm

intervals

Results

17.0ms	304×	body	80	valid
2.0ms	6×	body	1280	valid
2.0ms	9×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3251
5	1293
4	501
3	166
2	50
1	21
0	12

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite248.0ms

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-cbrt-cube` `add-exp-log`
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` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 308

Calls

4 calls:

41.0ms	(* (- y x) 6.0)
39.0ms	(- (/ 2.0 3.0) z)
40.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
103.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series187.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- y x) 6.0)
23.0ms	(- (/ 2.0 3.0) z)
69.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
61.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.7s

Counts

320 → 320

Iterations

Iter	Nodes
done	5001
2	3165
1	1103
0	404

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))
0.1b	(+ x (+ (* (- y x) (* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))) (* (* (- y x) 6.0) (fma z -1 z))))
0.3b	(* (- y x) (* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)))
1.0b	(/ 2.0 (sqrt 3.0))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

4348×	`times-frac`
3081×	`add-sqr-sqrt`
3059×	`*-un-lft-identity`
3053×	`add-cube-cbrt`
2448×	`prod-diff`
2177×	`sqrt-prod`
2050×	`distribute-rgt-in` `distribute-lft-in`
127×	`div-inv`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-r`
11×	`pow1`
10×	`associate-*r/`
9×	`add-log-exp`
8×	`associate-l` `difference-of-squares`
7×	`flip3--` `flip--`
6×	`associate-/r*` `sub-neg`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `fma-def` `associate-/l*`
2×	`associate-l/` `-commutative` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `associate-+r+` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 2584

Calls

4 calls:

379.0ms	(* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))
736.0ms	(+ x (+ (* (- y x) (* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))) (* (* (- y x) 6.0) (fma z -1 z))))
590.0ms	(* (- y x) (* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)))
9.0ms	(/ 2.0 (sqrt 3.0))

series2.0s

Counts

4 → 10

Calls

4 calls:

210.0ms	(* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))
1.4s	(+ x (+ (* (- y x) (* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))) (* (* (- y x) 6.0) (fma z -1 z))))
327.0ms	(* (- y x) (* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)))
0.0ms	(/ 2.0 (sqrt 3.0))

simplify4.4s

Counts

2594 → 2594

Iterations

Iter	Nodes
done	5000
0	2495

prune18.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.0b	(/ 2.0 (sqrt 3.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
12×	`sqrt-prod`
9×	`cbrt-prod`
6×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(/ 2.0 (sqrt 3.0))

series793.0ms

Counts

4 → 10

Calls

4 calls:

273.0ms	(cbrt x)
309.0ms	(cbrt x)
210.0ms	(cbrt x)
0.0ms	(/ 2.0 (sqrt 3.0))

simplify1.8s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
4	2254
3	738
2	314
1	155
0	95

prune749.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (* (cbrt x) (cbrt x)))
1.0b	(/ 2.0 (sqrt 3.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`cbrt-prod`
12×	`sqrt-prod`
6×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 85

Calls

4 calls:

2.0ms	(cbrt x)
3.0ms	(cbrt (cbrt x))
21.0ms	(cbrt (* (cbrt x) (cbrt x)))
11.0ms	(/ 2.0 (sqrt 3.0))

series1.1s

Counts

4 → 10

Calls

4 calls:

255.0ms	(cbrt x)
441.0ms	(cbrt (cbrt x))
449.0ms	(cbrt (* (cbrt x) (cbrt x)))
0.0ms	(/ 2.0 (sqrt 3.0))

simplify2.3s

Counts

95 → 95

Iterations

Iter	Nodes
done	5006
4	3358
3	1178
2	493
1	229
0	135

prune835.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes442.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample1.3s

Algorithm

intervals

Results

804.0ms	9298×	body	80	valid
72.0ms	270×	body	640	valid
47.0ms	145×	body	1280	valid
36.0ms	201×	body	320	valid
14.0ms	115×	body	160	valid