Details

sample51.0ms

Algorithm

intervals

Results

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

simplify97.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite134.0ms

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:

133.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify2.4s

Counts

29 → 29

Iterations

Useful iterations: 2 (81.0ms)

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

prune72.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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:

43.0ms	(* (+ b c) a)
18.0ms	(+ (* (+ b c) a) (* d a))

series96.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (+ b c) a)
55.0ms	(+ (* (+ b c) a) (* d a))

simplify3.2s

Counts

44 → 44

Iterations

Useful iterations: 3 (1.8s)

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

prune131.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ b c))
0.0b	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
0.2b	(* (sqrt (+ b c)) a)
0.4b	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

rewrite194.0ms

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))
58.0ms	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
32.0ms	(* (sqrt (+ b c)) a)
87.0ms	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

series252.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt (+ b c))
73.0ms	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
83.0ms	(* (sqrt (+ b c)) a)
59.0ms	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

simplify3.3s

Counts

104 → 104

Iterations

Useful iterations: done (3.3s)

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

prune537.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

97.0ms	(* (sqrt a) (+ (+ b c) d))
118.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(* (sqrt a) (+ (+ b c) d))
60.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify810.0ms

Counts

65 → 65

Iterations

Useful iterations: done (808.0ms)

Iter	Nodes	Cost
0	95	816
1	263	657
2	1129	576
done	5002	573

prune179.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes187.0ms

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	8	9
1	12	9
done	12	9

end0.0ms

sample913.0ms

Algorithm

intervals

Results

294.0ms	8000×	pre	80	true
233.0ms	8000×	body	80	valid