Details

sample15.0ms

Algorithm

intervals

Results

6.0ms	279×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid

simplify32.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	9	11
1	19	9
2	43	7
3	66	7
4	72	7
5	73	7
done	73	7

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:

8.0ms	(+ 20.0 (+ 10.0 d2))
29.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))

series54.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ 20.0 (+ 10.0 d2))
35.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))

simplify767.0ms

Counts

52 → 52

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	69	420
1	193	402
2	572	361
3	2262	361
done	5000	361

prune85.0ms

Pruning

3 alts after pruning (3 fresh and 0 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))

rewrite4.0ms

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:

3.0ms	(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
0.0ms	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

series211.0ms

Counts

2 → 6

Calls

2 calls:

128.0ms	(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
83.0ms	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

simplify531.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	54	480
1	106	327
2	309	286
3	1189	286
done	5000	286

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (/ (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))) (- 20.0 (+ 10.0 d2))))
0.0b	(* (+ 10.0 d2) (+ 10.0 d2))
0.0b	(- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))
8.4b	(/ (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))) (- 20.0 (+ 10.0 d2)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
49×	`times-frac`
34×	`associate-r`
32×	`add-cube-cbrt`
23×	`difference-of-squares`
18×	`distribute-lft-out--`
15×	`distribute-lft-out`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`flip3-+` `swap-sqr` `associate-/r*` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l*`
3×	`associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/` `associate--r+`
1×	`pow2` `sub-neg` `frac-2neg` `pow-plus` `fma-neg` `diff-log` `div-sub` `prod-diff` `clear-num` `pow-sqr` `pow-prod-up`

Counts

4 → 165

Calls

4 calls:

43.0ms	(* d1 (/ (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))) (- 20.0 (+ 10.0 d2))))
17.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
3.0ms	(- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))
23.0ms	(/ (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))) (- 20.0 (+ 10.0 d2)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* d1 (/ (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))) (- 20.0 (+ 10.0 d2))))
18.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
22.0ms	(- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))
114.0ms	(/ (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))) (- 20.0 (+ 10.0 d2)))

simplify704.0ms

Counts

177 → 177

Iterations

Useful iterations: done (698.0ms)

Iter	Nodes	Cost
0	224	3464
1	618	3168
2	2317	2457
done	5000	2437

prune307.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (+ 10.0 d2) 3)
0.2b	(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (+ 10.0 d2)))
3.2b	(* d1 (+ (pow 20.0 3) (pow (+ 10.0 d2) 3)))
13.1b	(/ (* d1 (+ (pow 20.0 3) (pow (+ 10.0 d2) 3))) (+ (* 20.0 20.0) (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (+ 10.0 d2)))))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
30×	`associate-*r/`
28×	`flip3-+` `flip-+`
16×	`frac-sub`
15×	`distribute-lft-out`
13×	`add-sqr-sqrt` `associate-r`
12×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
11×	`add-cube-cbrt`
8×	`frac-times`
7×	`pow1`
6×	`associate-*l/` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `sub-div`
3×	`distribute-rgt-in` `pow-unpow` `distribute-lft-in` `times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `cube-div` `div-exp` `prod-exp` `associate--l+` `associate-/r/` `cbrt-unprod` `associate-/l/` `associate--r+`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-pow` `frac-2neg` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-prod-down` `pow-exp` `clear-num` `sum-cubes` `-commutative` `flip--` `div-inv` `associate-/l` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 131

Calls

4 calls:

5.0ms	(pow (+ 10.0 d2) 3)
11.0ms	(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (+ 10.0 d2)))
92.0ms	(* d1 (+ (pow 20.0 3) (pow (+ 10.0 d2) 3)))
61.0ms	(/ (* d1 (+ (pow 20.0 3) (pow (+ 10.0 d2) 3))) (+ (* 20.0 20.0) (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (+ 10.0 d2)))))

series318.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(pow (+ 10.0 d2) 3)
42.0ms	(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (+ 10.0 d2)))
71.0ms	(* d1 (+ (pow 20.0 3) (pow (+ 10.0 d2) 3)))
178.0ms	(/ (* d1 (+ (pow 20.0 3) (pow (+ 10.0 d2) 3))) (+ (* 20.0 20.0) (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (+ 10.0 d2)))))

simplify1.3s

Counts

143 → 143

Iterations

Useful iterations: 2 (303.0ms)

Iter	Nodes	Cost
0	280	3360
1	899	2745
2	4269	2372
done	5000	2372

prune367.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	10	10
done	10	10

end0.0ms

sample363.0ms

Algorithm

intervals

Results

206.0ms	8981×	body	80	valid
6.0ms	63×	body	1280	valid
5.0ms	57×	body	640	valid
2.0ms	29×	body	320	valid
0.0ms	6×	body	160	valid