Details

sample47.0ms

Algorithm

intervals

Results

11.0ms	256×	pre	80	true
9.0ms	256×	body	80	valid

simplify84.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	18	7
2	41	7
3	75	7
4	93	7
done	93	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))

rewrite106.0ms

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:

105.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify2.3s

Counts

29 → 29

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	54	271
1	152	256
2	593	228
3	3461	228
done	5001	228

prune78.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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` `distribute-rgt-out` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

22.0ms	(* (+ b c) a)
15.0ms	(+ (* (+ b c) a) (* d a))

series58.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (+ b c) a)
31.0ms	(+ (* (+ b c) a) (* d a))

simplify3.0s

Counts

44 → 44

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	72	419
1	203	356
2	830	344
3	4162	328
done	5000	328

prune114.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ b c))
0.0b	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
0.3b	(* (sqrt (+ b c)) a)
0.4b	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `sqrt-div`
14×	`associate-l`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-out`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `fma-def` `sqrt-pow1` `pow1/2` `sum-log` `hypot-def`

Counts

4 → 92

Calls

4 calls:

12.0ms	(sqrt (+ b c))
64.0ms	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
40.0ms	(* (sqrt (+ b c)) a)
87.0ms	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

series277.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sqrt (+ b c))
92.0ms	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
85.0ms	(* (sqrt (+ b c)) a)
60.0ms	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

simplify3.5s

Counts

104 → 104

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	160	1400
1	427	1037
2	1246	906
3	4359	883
done	5000	878

prune273.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (+ d (+ b c)))
0.1b	(sqrt (* a (+ d (+ b c))))
0.1b	(sqrt (* a (+ d (+ b c))))
0.5b	(* (sqrt (* a (+ d (+ b c)))) (sqrt (* a (+ d (+ b c)))))

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `associate-r` `flip-+`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 115

Calls

4 calls:

83.0ms	(* a (+ d (+ b c)))
23.0ms	(sqrt (* a (+ d (+ b c))))
24.0ms	(sqrt (* a (+ d (+ b c))))
176.0ms	(* (sqrt (* a (+ d (+ b c)))) (sqrt (* a (+ d (+ b c)))))

series524.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* a (+ d (+ b c)))
224.0ms	(sqrt (* a (+ d (+ b c))))
231.0ms	(sqrt (* a (+ d (+ b c))))
33.0ms	(* (sqrt (* a (+ d (+ b c)))) (sqrt (* a (+ d (+ b c)))))

simplify762.0ms

Counts

127 → 127

Iterations

Useful iterations: done (758.0ms)

Iter	Nodes	Cost
0	141	1879
1	340	1416
2	1246	1300
done	5001	1232

prune273.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes207.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample827.0ms

Algorithm

intervals

Results

241.0ms	8000×	pre	80	true
185.0ms	8000×	body	80	valid