Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	292×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid

simplify62.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite149.0ms

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:

30.0ms	(+ (+ 10.0 d2) 20.0)
118.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

series83.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (+ 10.0 d2) 20.0)
49.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

simplify718.0ms

Counts

45 → 45

Iterations

Useful iterations: done (716.0ms)

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

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
0.0b	(* (+ 10.0 d2) (+ 10.0 d2))
3.5b	(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
10.1b	(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate--l+` `associate-/r` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

33.0ms	(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
63.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
99.0ms	(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
93.0ms	(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

series267.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
17.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
73.0ms	(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
153.0ms	(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

simplify2.6s

Counts

127 → 127

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	186	2147
1	578	2025
2	3727	1749
done	5000	1736

prune320.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 10.0 d2) (+ 10.0 d2))
0.0b	(pow (+ 10.0 d2) 3)
1.2b	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
15.2b	(/ (* 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))))

rewrite590.0ms

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:

67.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
19.0ms	(pow (+ 10.0 d2) 3)
275.0ms	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
219.0ms	(/ (* 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))))

series399.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (+ 10.0 d2) (+ 10.0 d2))
40.0ms	(pow (+ 10.0 d2) 3)
97.0ms	(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
244.0ms	(/ (* 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))))

simplify700.0ms

Counts

152 → 152

Iterations

Useful iterations: done (693.0ms)

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

prune727.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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

sample962.0ms

Algorithm

intervals

Results

538.0ms	8982×	body	80	valid
52.0ms	52×	body	640	valid
12.0ms	53×	body	1280	valid
4.0ms	32×	body	320	valid
1.0ms	14×	body	160	valid