Details

sample19.0ms

Algorithm

intervals

Results

9.0ms	285×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid

simplify4.0ms

Counts: 1 → 1

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))

rewrite111.0ms

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:

29.0ms	(+ (+ 10.0 d2) 20.0)
81.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

series53.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (+ 10.0 d2) 20.0)
35.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

simplify93.0ms

Counts: 45 → 45

prune70.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d1 10.0) (* d1 d2))
0.2b	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 26

Calls

2 calls:

8.0ms	(+ (* d1 10.0) (* d1 d2))
30.0ms	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

series93.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (* d1 10.0) (* d1 d2))
49.0ms	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

simplify107.0ms

Counts: 32 → 32

prune61.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 10.0 d2) 20.0)
0.0b	(+ (+ 10.0 d2) 20.0)
0.1b	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
0.3b	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

27.0ms	(+ (+ 10.0 d2) 20.0)
27.0ms	(+ (+ 10.0 d2) 20.0)
70.0ms	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
141.0ms	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series138.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (+ 10.0 d2) 20.0)
18.0ms	(+ (+ 10.0 d2) 20.0)
65.0ms	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
36.0ms	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify46.0ms

Counts: 99 → 99

prune181.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.8b	(/ (* d1 (sqrt (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))) (sqrt (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0)))))
2.4b	(* d1 (sqrt (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))))
4.4b	(sqrt (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
11.8b	(sqrt (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

rewrite415.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
42×	`sqrt-div`
36×	`sqrt-prod`
32×	`frac-add`
29×	`flip3-+` `flip-+`
26×	`distribute-lft-out`
19×	`add-sqr-sqrt`
18×	`associate-/r/`
16×	`frac-times` `unpow-prod-down` `flip3--` `cube-prod` `associate-r` `flip--`
13×	`add-cube-cbrt`
12×	`associate-*r/`
11×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `associate-*l/`
6×	`times-frac` `associate-/r*`
4×	`add-log-exp`
3×	`associate-l`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `prod-exp` `sum-cubes` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 137

Calls

4 calls:

100.0ms	(/ (* d1 (sqrt (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))) (sqrt (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0)))))
176.0ms	(* d1 (sqrt (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))))
81.0ms	(sqrt (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
50.0ms	(sqrt (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

series447.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(/ (* d1 (sqrt (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))) (sqrt (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0)))))
146.0ms	(* d1 (sqrt (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))))
67.0ms	(sqrt (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
47.0ms	(sqrt (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

simplify50.0ms

Counts: 149 → 149

prune565.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample670.0ms

Algorithm

intervals

Results

415.0ms	9035×	body	80	valid
8.0ms	58×	body	1280	valid
5.0ms	47×	body	640	valid
2.0ms	24×	body	320	valid
1.0ms	9×	body	160	valid