Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify32.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	18	7
2	40	7
3	67	7
4	82	7
done	82	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* a (+ (+ b c) d))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

40.0ms

(* a (+ (+ b c) d))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* a (+ (+ b c) d))

simplify1.5s

Counts

29 → 29

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	54	271
1	151	256
2	652	228
3	3034	228
done	5001	228

prune62.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ b c) a)
0.1b	(+ (* (+ b c) a) (* a d))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

10.0ms	(* (+ b c) a)
5.0ms	(+ (* (+ b c) a) (* a d))

series47.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* (+ b c) a)
25.0ms	(+ (* (+ b c) a) (* a d))

simplify2.0s

Counts

43 → 43

Iterations

Useful iterations: 3 (375.0ms)

Iter	Nodes	Cost
0	72	414
1	208	371
2	829	325
3	3569	323
done	5000	323

prune91.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.4b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.4b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.5b	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

68×	`pow1`
41×	`pow-prod-down`
32×	`add-sqr-sqrt`
29×	`sqrt-prod`
28×	`*-un-lft-identity`
21×	`sqrt-pow1` `pow1/2`
20×	`add-exp-log` `add-cbrt-cube`
18×	`sqrt-div` `associate-*r/`
17×	`associate-r`
13×	`add-cube-cbrt` `associate-l`
10×	`prod-exp` `cbrt-unprod`
9×	`flip3-+` `flip-+` `distribute-lft-out`
8×	`pow-prod-up` `unswap-sqr`
7×	`sqrt-unprod`
6×	`pow-sqr`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-plus` `associate-*l/`
1×	`pow2` `rem-sqrt-square` `swap-sqr` `rem-square-sqrt` `hypot-def`

Counts

4 → 146

Calls

4 calls:

19.0ms	(sqrt (+ (+ b c) d))
43.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
41.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
95.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(sqrt (+ (+ b c) d))
179.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
180.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
55.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

simplify976.0ms

Counts

158 → 158

Iterations

Useful iterations: done (972.0ms)

Iter	Nodes	Cost
0	168	2375
1	443	1799
2	1838	1566
done	5000	1556

prune320.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.4b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.5b	(* (* (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))) (sqrt (* (sqrt a) (sqrt (+ (+ b c) d))))) (* (sqrt a) (sqrt (+ (+ b c) d))))
0.5b	(* (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))) (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))))

rewrite601.0ms

Algorithm

rewrite-expression-head

Rules

277×	`pow1`
200×	`sqrt-pow1`
151×	`pow-prod-down`
118×	`sqrt-div`
94×	`pow1/2`
89×	`pow-prod-up`
80×	`associate-*r/`
35×	`flip3-+` `flip-+`
34×	`add-sqr-sqrt`
32×	`frac-times`
28×	`sqrt-prod`
27×	`pow-sqr`
26×	`*-un-lft-identity`
22×	`add-exp-log` `add-cbrt-cube`
21×	`associate-r`
17×	`associate-l`
16×	`add-cube-cbrt` `associate-*l/`
15×	`pow-plus`
11×	`prod-exp` `cbrt-unprod`
9×	`unswap-sqr`
6×	`sqrt-unprod` `distribute-lft-out`
4×	`expm1-log1p-u` `swap-sqr` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `rem-square-sqrt`

Counts

4 → 249

Calls

4 calls:

40.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
42.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
403.0ms	(* (* (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))) (sqrt (* (sqrt a) (sqrt (+ (+ b c) d))))) (* (sqrt a) (sqrt (+ (+ b c) d))))
99.0ms	(* (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))) (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))))

series578.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
174.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
53.0ms	(* (* (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))) (sqrt (* (sqrt a) (sqrt (+ (+ b c) d))))) (* (sqrt a) (sqrt (+ (+ b c) d))))
175.0ms	(* (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))) (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))))

simplify1.7s

Counts

261 → 261

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	255	5731
1	673	3665
2	2709	3085
done	5001	3075

prune513.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

end0.0ms

sample563.0ms

Algorithm

intervals

Results

192.0ms	8000×	pre	80	true
148.0ms	8000×	body	80	valid