Details

sample49.0ms

Algorithm

intervals

Results

12.0ms	256×	pre	80	true
11.0ms	256×	body	80	valid

simplify99.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite99.0ms

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:

98.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify1.9s

Counts

29 → 29

Iterations

Useful iterations: 2 (71.0ms)

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

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))

rewrite70.0ms

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:

37.0ms	(* (+ b c) a)
32.0ms	(+ (* (+ b c) a) (* d a))

series67.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (+ b c) a)
37.0ms	(+ (* (+ b c) a) (* d a))

simplify3.3s

Counts

44 → 44

Iterations

Useful iterations: 3 (1.6s)

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

prune118.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify2.8s

Counts

13 → 13

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	22	136
1	35	130
2	89	116
3	518	102
4	3733	102
done	5000	102

prune35.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

58.0ms	(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
32.0ms	(* (+ b c) (sqrt a))
68.0ms	(* (* (+ b c) (sqrt a)) (sqrt a))

series201.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ (* (* (+ b c) (sqrt a)) (sqrt a)) (* d a))
69.0ms	(* (+ b c) (sqrt a))
48.0ms	(* (* (+ b c) (sqrt a)) (sqrt a))

simplify3.5s

Counts

75 → 75

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	110	918
1	310	690
2	1074	595
3	4479	581
done	5000	581

prune258.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes157.0ms

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	8
1	9	8
done	9	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

310.0ms	8000×	pre	80	true
292.0ms	8000×	body	80	valid