Details

sample44.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify75.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	117
5	117
4	113
3	76
2	41
1	18
0	7

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

24.0ms	(+ (+ b c) d)
127.0ms	(* (+ (+ b c) d) a)

series56.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (+ b c) d)
38.0ms	(* (+ (+ b c) d) a)

simplify585.0ms

Counts

51 → 51

Iterations

Iter	Nodes
done	5002
2	762
1	167
0	68

prune223.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

64.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify622.0ms

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
2	697
1	134
0	51

prune136.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (+ (+ b d) c))
0.1b	(sqrt (* a (+ (+ b d) c)))
0.1b	(sqrt (* a (+ (+ b d) c)))
0.6b	(* (sqrt (* a (+ (+ b d) c))) (sqrt (* a (+ (+ b d) c))))

rewrite350.0ms

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×	`pow-prod-up` `add-cube-cbrt`
9×	`flip3-+` `associate-r` `flip-+`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`pow-sqr` `sqrt-prod`
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` `rem-square-sqrt` `distribute-lft-in` `pow-plus` `sqrt-unprod`

Counts

4 → 115

Calls

4 calls:

109.0ms	(* a (+ (+ b d) c))
26.0ms	(sqrt (* a (+ (+ b d) c)))
16.0ms	(sqrt (* a (+ (+ b d) c)))
195.0ms	(* (sqrt (* a (+ (+ b d) c))) (sqrt (* a (+ (+ b d) c))))

series567.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* a (+ (+ b d) c))
216.0ms	(sqrt (* a (+ (+ b d) c)))
261.0ms	(sqrt (* a (+ (+ b d) c)))
38.0ms	(* (sqrt (* a (+ (+ b d) c))) (sqrt (* a (+ (+ b d) c))))

simplify1.2s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	1970
1	393
0	141

prune734.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (+ (+ b d) c))
0.1b	(sqrt (* a (+ (+ b d) c)))
0.1b	(sqrt (+ (* (+ b d) a) (* c a)))
0.6b	(* (sqrt (* a (+ (+ b d) c))) (sqrt (+ (* (+ b d) a) (* c a))))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

84.0ms	(* a (+ (+ b d) c))
32.0ms	(sqrt (* a (+ (+ b d) c)))
25.0ms	(sqrt (+ (* (+ b d) a) (* c a)))
131.0ms	(* (sqrt (* a (+ (+ b d) c))) (sqrt (+ (* (+ b d) a) (* c a))))

series683.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* a (+ (+ b d) c))
289.0ms	(sqrt (* a (+ (+ b d) c)))
131.0ms	(sqrt (+ (* (+ b d) a) (* c a)))
222.0ms	(* (sqrt (* a (+ (+ b d) c))) (sqrt (+ (* (+ b d) a) (* c a))))

simplify1.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	2551
1	504
0	174

prune664.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes261.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

370.0ms	8000×	pre	80	true
283.0ms	8000×	body	80	valid