Details

sample31.0ms

Algorithm

intervals

Results

7.0ms	256×	pre	80	true
7.0ms	256×	body	80	valid

simplify520.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	565
7	565
6	558
5	483
4	348
3	169
2	58
1	19
0	9

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ c (+ d e))
0.2b	(+ (+ c (+ d e)) (+ b a))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
28×	`add-log-exp`
21×	`distribute-lft-out`
18×	`sum-log`
8×	`fma-def`
6×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-add` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+r+` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 55

Calls

2 calls:

13.0ms	(+ c (+ d e))
149.0ms	(+ (+ c (+ d e)) (+ b a))

series114.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ c (+ d e))
86.0ms	(+ (+ c (+ d e)) (+ b a))

simplify810.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	1801
1	329
0	96

prune368.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ (+ b a) (+ d c))
0.2b	(+ (+ (+ b a) (+ d c)) e)

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
32×	`add-log-exp`
30×	`distribute-lft-out`
21×	`sum-log`
11×	`fma-def`
6×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-add` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+l+` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`associate-+r+`

Counts

2 → 60

Calls

2 calls:

47.0ms	(+ (+ b a) (+ d c))
220.0ms	(+ (+ (+ b a) (+ d c)) e)

series132.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (+ b a) (+ d c))
82.0ms	(+ (+ (+ b a) (+ d c)) e)

simplify699.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1626
1	361
0	109

prune300.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (fma (- b a) (+ (pow c 3) (pow d 3)) (* (* (+ a b) (- b a)) (fma c (- c d) (* d d)))) (* (- b a) (fma c (- c d) (* d d))))
0.3b	(* (* (+ a b) (- b a)) (fma c (- c d) (* d d)))
0.3b	(fma c (- c d) (* d d))
0.3b	(fma c (- c d) (* d d))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-cbrt-cube` `add-exp-log`
12×	`associate-*l/`
9×	`pow1`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `frac-times` `flip3--` `prod-exp` `cbrt-unprod` `fma-udef` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`flip3-+` `times-frac` `associate-r` `pow-prod-down` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-*r/` `associate-/r/`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `associate-l` `-commutative` `div-inv`

Counts

4 → 75

Calls

4 calls:

16.0ms	(/ (fma (- b a) (+ (pow c 3) (pow d 3)) (* (* (+ a b) (- b a)) (fma c (- c d) (* d d)))) (* (- b a) (fma c (- c d) (* d d))))
56.0ms	(* (* (+ a b) (- b a)) (fma c (- c d) (* d d)))
1.0ms	(fma c (- c d) (* d d))
1.0ms	(fma c (- c d) (* d d))

series3.3s

Counts

4 → 12

Calls

4 calls:

2.9s	(/ (fma (- b a) (+ (pow c 3) (pow d 3)) (* (* (+ a b) (- b a)) (fma c (- c d) (* d d)))) (* (- b a) (fma c (- c d) (* d d))))
251.0ms	(* (* (+ a b) (- b a)) (fma c (- c d) (* d d)))
30.0ms	(fma c (- c d) (* d d))
30.0ms	(fma c (- c d) (* d d))

simplify1.5s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	2560
1	394
0	145

prune893.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (+ (+ (+ d e) (+ b a)) c)))
0.2b	(+ (+ (+ d e) (+ b a)) c)
0.3b	(+ (+ d e) (+ b a))
3.5b	(exp (+ (+ (+ d e) (+ b a)) c))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
56×	`distribute-lft-out`
53×	`add-log-exp`
34×	`sum-log`
16×	`exp-prod`
11×	`fma-def`
9×	`add-sqr-sqrt` `log-pow` `add-cube-cbrt`
6×	`flip3-+` `flip-+` `rem-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `log-prod` `add-cbrt-cube` `frac-add` `add-exp-log` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `exp-sum`
1×	`associate-+r+` `rem-log-exp`

Counts

4 → 107

Calls

4 calls:

499.0ms	(log (exp (+ (+ (+ d e) (+ b a)) c)))
235.0ms	(+ (+ (+ d e) (+ b a)) c)
40.0ms	(+ (+ d e) (+ b a))
456.0ms	(exp (+ (+ (+ d e) (+ b a)) c))

series236.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(log (exp (+ (+ (+ d e) (+ b a)) c)))
81.0ms	(+ (+ (+ d e) (+ b a)) c)
35.0ms	(+ (+ d e) (+ b a))
54.0ms	(exp (+ (+ (+ d e) (+ b a)) c))

simplify917.0ms

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	1980
1	438
0	148

prune504.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes279.0ms

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	19
1	19
0	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

327.0ms	8000×	pre	80	true
281.0ms	8000×	body	80	valid