Details

sample34.0ms

Algorithm

intervals

Results

15.0ms	272×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify128.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	9	11
1	19	9
2	45	7
3	73	7
4	85	7
5	94	7
6	100	7
done	100	7

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 20.0 (+ 10.0 d2))
0.0b	(* d1 (+ 20.0 (+ 10.0 d2)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

30.0ms	(+ 20.0 (+ 10.0 d2))
88.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))

series57.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ 20.0 (+ 10.0 d2))
37.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))

simplify710.0ms

Counts

52 → 52

Iterations

Useful iterations: done (708.0ms)

Iter	Nodes	Cost
0	69	420
1	205	402
2	824	366
done	5000	361

prune147.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d1 10.0) (* d1 d2))
0.1b	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
5×	`fma-def`
4×	`sum-log` `distribute-lft-out`
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 → 35

Calls

2 calls:

8.0ms	(+ (* d1 10.0) (* d1 d2))
63.0ms	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

series110.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* d1 10.0) (* d1 d2))
56.0ms	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

simplify913.0ms

Counts

41 → 41

Iterations

Useful iterations: done (912.0ms)

Iter	Nodes	Cost
0	61	473
1	203	364
2	1062	309
done	5000	306

prune128.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
0.6b	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

8.0ms	(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
0.0ms	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

series307.0ms

Counts

2 → 6

Calls

2 calls:

170.0ms	(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
137.0ms	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

simplify4.7s

Counts

38 → 38

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	54	480
1	118	327
2	531	288
3	4940	286
done	5000	286

prune153.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 20.0 (+ 10.0 d2))
0.1b	(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
0.2b	(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))))
0.6b	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

30.0ms	(+ 20.0 (+ 10.0 d2))
112.0ms	(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
123.0ms	(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))))
0.0ms	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

series834.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 20.0 (+ 10.0 d2))
118.0ms	(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
531.0ms	(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))))
153.0ms	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

simplify1.5s

Counts

95 → 95

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	203	1510
1	560	1226
2	2830	989
done	5001	964

prune343.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes76.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

880.0ms	9026×	body	80	valid
41.0ms	63×	body	1280	valid
7.0ms	47×	body	640	valid
3.0ms	24×	body	320	valid
1.0ms	16×	body	160	valid