Details

sample21.0ms

Algorithm

intervals

Results

9.0ms	287×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify96.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

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:

17.0ms	(+ 20.0 (+ 10.0 d2))
78.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))

series60.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ 20.0 (+ 10.0 d2))
39.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))

simplify669.0ms

Counts

52 → 52

Iterations

Useful iterations: done (668.0ms)

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

prune135.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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-+r+` `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:

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

series95.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* d1 (+ 10.0 d2))
51.0ms	(+ (* d1 20.0) (* d1 (+ 10.0 d2)))

simplify723.0ms

Counts

48 → 48

Iterations

Useful iterations: 2 (189.0ms)

Iter	Nodes	Cost
0	77	447
1	244	383
2	1085	353
done	5000	353

prune138.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

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))

series310.0ms

Counts

2 → 6

Calls

2 calls:

183.0ms	(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
126.0ms	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

simplify4.2s

Counts

38 → 38

Iterations

Useful iterations: 3 (1.1s)

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

prune85.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* d2 d2) (* 10.0 d2))
0.1b	(+ (* d1 20.0) (/ (* d1 (+ (pow 10.0 3) (pow d2 3))) (+ (* 10.0 10.0) (- (* d2 d2) (* 10.0 d2)))))
3.3b	(* d1 (+ (pow 10.0 3) (pow d2 3)))
14.6b	(/ (* d1 (+ (pow 10.0 3) (pow d2 3))) (+ (* 10.0 10.0) (- (* d2 d2) (* 10.0 d2))))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-r`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `unpow-prod-down` `flip3-+` `cube-prod` `associate-*r/` `flip-+` `log1p-expm1-u`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-rgt-out--` `fma-def` `frac-2neg` `distribute-lft-in` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `clear-num` `sum-log` `sum-cubes` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

9.0ms	(- (* d2 d2) (* 10.0 d2))
77.0ms	(+ (* d1 20.0) (/ (* d1 (+ (pow 10.0 3) (pow d2 3))) (+ (* 10.0 10.0) (- (* d2 d2) (* 10.0 d2)))))
78.0ms	(* d1 (+ (pow 10.0 3) (pow d2 3)))
71.0ms	(/ (* d1 (+ (pow 10.0 3) (pow d2 3))) (+ (* 10.0 10.0) (- (* d2 d2) (* 10.0 d2))))

series614.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (* d2 d2) (* 10.0 d2))
271.0ms	(+ (* d1 20.0) (/ (* d1 (+ (pow 10.0 3) (pow d2 3))) (+ (* 10.0 10.0) (- (* d2 d2) (* 10.0 d2)))))
94.0ms	(* d1 (+ (pow 10.0 3) (pow d2 3)))
165.0ms	(/ (* d1 (+ (pow 10.0 3) (pow d2 3))) (+ (* 10.0 10.0) (- (* d2 d2) (* 10.0 d2))))

simplify1.9s

Counts

100 → 100

Iterations

Useful iterations: 2 (444.0ms)

Iter	Nodes	Cost
0	172	1936
1	538	1581
2	2790	1413
done	5000	1413

prune463.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes50.0ms

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	7
1	10	7
done	10	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

895.0ms	9047×	body	80	valid
12.0ms	60×	body	1280	valid
9.0ms	59×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	13×	body	160	valid