Details

sample76.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
13.0ms	256×	pre	80	true

simplify119.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	18	7
2	41	7
3	76	7
4	115	7
5	117	7
done	117	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite147.0ms

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:

145.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify903.0ms

Counts

29 → 29

Iterations

Useful iterations: done (901.0ms)

Iter	Nodes	Cost
0	54	271
1	170	258
2	762	230
done	5000	228

prune168.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

44.0ms	(* a (+ b c))
25.0ms	(+ (* a (+ b c)) (* a d))

series111.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* a (+ b c))
67.0ms	(+ (* a (+ b c)) (* a d))

simplify1.2s

Counts

48 → 48

Iterations

Useful iterations: 2 (228.0ms)

Iter	Nodes	Cost
0	77	449
1	246	381
2	1154	352
done	5002	352

prune299.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`fma-def` `sum-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 32

Calls

2 calls:

64.0ms	(+ (+ (* a b) (* c a)) (* a d))
15.0ms	(+ (* a b) (* c a))

series111.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (+ (* a b) (* c a)) (* a d))
54.0ms	(+ (* a b) (* c a))

simplify1.7s

Counts

38 → 38

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	59	467
1	196	345
2	928	301
done	5001	299

prune287.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.0b	(sqrt (+ (+ b c) d))
0.2b	(* a (sqrt (+ (+ b c) d)))
0.3b	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

rewrite519.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

61.0ms	(sqrt (+ (+ b c) d))
63.0ms	(sqrt (+ (+ b c) d))
136.0ms	(* a (sqrt (+ (+ b c) d)))
252.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(sqrt (+ (+ b c) d))
85.0ms	(sqrt (+ (+ b c) d))
134.0ms	(* a (sqrt (+ (+ b c) d)))
139.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify1.8s

Counts

113 → 113

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	141	1627
1	381	1299
2	1818	1187
done	5002	1164

prune749.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes554.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
done	14	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

385.0ms	8000×	body	80	valid
359.0ms	8000×	pre	80	true