Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	280×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid

simplify59.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	9	11
1	19	9
2	45	7
3	72	7
4	83	7
5	84	7
done	84	7

prune5.0ms

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

rewrite74.0ms

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:

57.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))
16.0ms	(+ 20.0 (+ 10.0 d2))

series55.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))
19.0ms	(+ 20.0 (+ 10.0 d2))

simplify1.5s

Counts

52 → 52

Iterations

Useful iterations: 3 (645.0ms)

Iter	Nodes	Cost
0	69	420
1	191	402
2	660	364
3	3199	361
done	5000	361

prune85.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 30.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
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` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

26.0ms

(* d1 (+ d2 30.0))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* d1 (+ d2 30.0))

simplify3.7s

Counts

28 → 28

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	48	206
1	131	195
2	405	175
3	1386	175
4	4685	175
done	5000	175

prune49.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

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:

7.0ms	(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
0.0ms	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

series216.0ms

Counts

2 → 6

Calls

2 calls:

131.0ms	(* d1 (fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2)))
85.0ms	(fma (sqrt 20.0) (sqrt 20.0) (+ 10.0 d2))

simplify788.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	54	480
1	105	327
2	300	286
3	1529	286
done	5000	286

prune68.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ 10.0 d2) 3)
0.0b	(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (+ 10.0 d2)))
2.8b	(* d1 (+ (pow 20.0 3) (pow (+ 10.0 d2) 3)))
16.4b	(/ (* 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)))))

rewrite300.0ms

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:

9.0ms	(pow (+ 10.0 d2) 3)
23.0ms	(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (+ 10.0 d2)))
147.0ms	(* d1 (+ (pow 20.0 3) (pow (+ 10.0 d2) 3)))
116.0ms	(/ (* 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)))))

series331.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(pow (+ 10.0 d2) 3)
41.0ms	(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (+ 10.0 d2)))
76.0ms	(* d1 (+ (pow 20.0 3) (pow (+ 10.0 d2) 3)))
183.0ms	(/ (* 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)))))

simplify1.8s

Counts

143 → 143

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	280	3360
1	920	2745
2	4529	2375
done	5000	2374

prune385.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

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	5	5
1	7	5
done	7	5

end0.0ms

sample391.0ms

Algorithm

intervals

Results

197.0ms	8991×	body	80	valid
6.0ms	63×	body	1280	valid
4.0ms	56×	body	640	valid
1.0ms	21×	body	320	valid
1.0ms	19×	body	160	valid