Details

sample29.0ms

Algorithm

intervals

Results

12.0ms	313×	body	80	valid
1.0ms	10×	body	320	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid

simplify6.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	51	12
3	172	12
4	477	12
5	1152	12
6	2708	12
done	5000	12

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
118×	`*-un-lft-identity`
117×	`prod-diff`
114×	`add-cube-cbrt`
92×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
13×	`fma-neg`
10×	`div-inv`
6×	`associate-r`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 186

Calls

3 calls:

33.0ms	(- (/ 2.0 3.0) z)
101.0ms	(* 6.0 (- (/ 2.0 3.0) z))
1.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series157.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- (/ 2.0 3.0) z)
50.0ms	(* 6.0 (- (/ 2.0 3.0) z))
82.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify2.9s

Counts

195 → 195

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	257	4364
1	455	3245
2	930	2739
3	3028	2292
done	5000	1959

prune339.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)
0.5b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite227.0ms

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:

30.0ms	(- (/ 2.0 3.0) z)
34.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
23.0ms	(* (- y x) 6.0)
105.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series192.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
72.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
32.0ms	(* (- y x) 6.0)
67.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.3s

Counts

316 → 316

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	400	7667
1	922	6190
2	2975	5410
done	5002	4990

prune712.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite25.0ms

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:

19.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (cbrt x) (cbrt x))
294.0ms	(cbrt x)
250.0ms	(cbrt x)
230.0ms	(cbrt x)

simplify4.9s

Counts

93 → 93

Iterations

Useful iterations: done (4.9s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune403.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.2b	(* (fma (- z) 1 (* z 1)) (* (- y x) 6.0))
0.5b	(fma (* (- y x) 6.0) (- (pow (cbrt (/ 2.0 3.0)) 3) z) x)
1.0b	(pow (cbrt (/ 2.0 3.0)) 3)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`cbrt-prod` `*-un-lft-identity`
24×	`add-cube-cbrt`
18×	`times-frac`
16×	`unpow-prod-down` `cube-prod`
12×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
8×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`flip3--` `pow-pow` `associate-r/` `-commutative` `flip--` `div-inv`
1×	`cube-div` `cube-mult` `pow-to-exp` `cbrt-div` `pow1/3` `unpow3` `pow-exp` `fma-udef` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 109

Calls

4 calls:

33.0ms	(* (- y x) 6.0)
47.0ms	(* (fma (- z) 1 (* z 1)) (* (- y x) 6.0))
0.0ms	(fma (* (- y x) 6.0) (- (pow (cbrt (/ 2.0 3.0)) 3) z) x)
7.0ms	(pow (cbrt (/ 2.0 3.0)) 3)

series194.0ms

Counts

4 → 10

Calls

4 calls:

53.0ms	(* (- y x) 6.0)
74.0ms	(* (fma (- z) 1 (* z 1)) (* (- y x) 6.0))
66.0ms	(fma (* (- y x) 6.0) (- (pow (cbrt (/ 2.0 3.0)) 3) z) x)
0.0ms	(pow (cbrt (/ 2.0 3.0)) 3)

simplify1.2s

Counts

119 → 119

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	204	1538
1	491	1172
2	1466	1007
done	5000	1003

prune463.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	12	12
done	12	12

end0.0ms

sample1.8s

Algorithm

intervals

Results

629.0ms	9360×	body	80	valid
510.0ms	203×	body	320	valid
98.0ms	267×	body	640	valid
45.0ms	117×	body	160	valid
36.0ms	153×	body	1280	valid