Details

sample30.0ms

Algorithm

intervals

Results

13.0ms	287×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify78.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	9	11
1	18	9
2	34	7
3	52	7
4	67	7
5	72	7
6	77	7
done	77	7

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

38.0ms	(+ (+ 10.0 d2) 20.0)
108.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

series54.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify714.0ms

Counts

45 → 45

Iterations

Useful iterations: done (713.0ms)

Iter	Nodes	Cost
0	65	392
1	191	380
2	778	344
done	5000	334

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

41.0ms	(* (+ 10.0 d2) d1)
28.0ms	(+ (* (+ 10.0 d2) d1) (* d1 20.0))

series87.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (+ 10.0 d2) d1)
37.0ms	(+ (* (+ 10.0 d2) d1) (* d1 20.0))

simplify685.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (134.0ms)

Iter	Nodes	Cost
0	68	386
1	190	368
2	818	302
done	5001	302

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ (* (sqrt (+ 10.0 d2)) (* (sqrt (+ 10.0 d2)) d1)) (* d1 20.0))
0.3b	(* (sqrt (+ 10.0 d2)) d1)
0.3b	(* (sqrt (+ 10.0 d2)) (* (sqrt (+ 10.0 d2)) d1))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div` `associate-l`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log` `associate-*l/` `add-cbrt-cube`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `flip3-+` `flip-+`
5×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `-commutative` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

3 → 66

Calls

3 calls:

54.0ms	(+ (* (sqrt (+ 10.0 d2)) (* (sqrt (+ 10.0 d2)) d1)) (* d1 20.0))
34.0ms	(* (sqrt (+ 10.0 d2)) d1)
78.0ms	(* (sqrt (+ 10.0 d2)) (* (sqrt (+ 10.0 d2)) d1))

series195.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ (* (sqrt (+ 10.0 d2)) (* (sqrt (+ 10.0 d2)) d1)) (* d1 20.0))
110.0ms	(* (sqrt (+ 10.0 d2)) d1)
31.0ms	(* (sqrt (+ 10.0 d2)) (* (sqrt (+ 10.0 d2)) d1))

simplify1.0s

Counts

75 → 75

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	132	1155
1	355	1062
2	1439	728
done	5001	722

prune230.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 10.0 d2) (+ 10.0 d2))
0.0b	(pow (+ 10.0 d2) 3)
3.3b	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
14.5b	(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

rewrite526.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
22×	`flip3-+` `flip-+`
21×	`distribute-lft-out`
19×	`add-sqr-sqrt`
18×	`associate-/r/`
17×	`associate-r`
16×	`frac-add`
15×	`add-cube-cbrt`
14×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`frac-times` `unpow-prod-down` `cube-prod`
10×	`associate-*r/`
8×	`flip3--` `flip--`
7×	`associate-l`
6×	`swap-sqr` `associate-*l/`
4×	`add-log-exp`
3×	`pow-unpow` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `cube-div` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `pow-plus` `unpow3` `pow-exp` `clear-num` `pow-sqr` `sum-cubes` `pow-prod-up` `div-inv` `associate-/l*` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 140

Calls

4 calls:

46.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
19.0ms	(pow (+ 10.0 d2) 3)
284.0ms	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
172.0ms	(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

series377.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
49.0ms	(pow (+ 10.0 d2) 3)
99.0ms	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
211.0ms	(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

simplify622.0ms

Counts

152 → 152

Iterations

Useful iterations: done (615.0ms)

Iter	Nodes	Cost
0	277	3489
1	1027	3022
done	5001	2798

prune549.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample987.0ms

Algorithm

intervals

Results

600.0ms	9047×	body	80	valid
13.0ms	60×	body	1280	valid
10.0ms	59×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	13×	body	160	valid