Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	306×	body	80	valid
0.0ms	7×	body	320	valid
0.0ms	5×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ (+ 3.0 d2) d3))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

39.0ms

(* d1 (+ (+ 3.0 d2) d3))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* d1 (+ (+ 3.0 d2) d3))

simplify93.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	149	120
1	720	103
2	3972	103
3	5002	103

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ 3.0 d2))
0.0b	(+ (* d1 (+ 3.0 d2)) (* d1 d3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

9.0ms	(* d1 (+ 3.0 d2))
5.0ms	(+ (* d1 (+ 3.0 d2)) (* d1 d3))

series74.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* d1 (+ 3.0 d2))
38.0ms	(+ (* d1 (+ 3.0 d2)) (* d1 d3))

simplify38.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	216	183
1	975	162
2	5001	160

prune78.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)) (* d1 d3))
3.8b	(* d1 (- (* 3.0 3.0) (* d2 d2)))
8.3b	(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-r*`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out--`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

20.0ms	(+ (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)) (* d1 d3))
10.0ms	(* d1 (- (* 3.0 3.0) (* d2 d2)))
10.0ms	(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

series243.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)) (* d1 d3))
64.0ms	(* d1 (- (* 3.0 3.0) (* d2 d2)))
91.0ms	(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

simplify63.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	392	576
1	1878	501
2	5002	467

prune162.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ d1 (/ (- 3.0 d2) (- (* 3.0 3.0) (* d2 d2)))) (* d1 d3))
0.3b	(/ d1 (/ (- 3.0 d2) (- (* 3.0 3.0) (* d2 d2))))
10.2b	(/ (- 3.0 d2) (- (* 3.0 3.0) (* d2 d2)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
123×	`add-sqr-sqrt` `*-un-lft-identity`
81×	`add-cube-cbrt`
47×	`difference-of-squares`
30×	`associate-/r*`
21×	`distribute-lft-out--`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`div-inv`
6×	`flip3--` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 180

Calls

3 calls:

63.0ms	(+ (/ d1 (/ (- 3.0 d2) (- (* 3.0 3.0) (* d2 d2)))) (* d1 d3))
16.0ms	(/ d1 (/ (- 3.0 d2) (- (* 3.0 3.0) (* d2 d2))))
10.0ms	(/ (- 3.0 d2) (- (* 3.0 3.0) (* d2 d2)))

series219.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (/ d1 (/ (- 3.0 d2) (- (* 3.0 3.0) (* d2 d2)))) (* d1 d3))
90.0ms	(/ d1 (/ (- 3.0 d2) (- (* 3.0 3.0) (* d2 d2))))
38.0ms	(/ (- 3.0 d2) (- (* 3.0 3.0) (* d2 d2)))

simplify124.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	784	2153
1	4200	2006
2	5002	1944

prune472.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes59.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample487.0ms

Algorithm

intervals

Results

239.0ms	9527×	body	80	valid
22.0ms	214×	body	640	valid
11.0ms	98×	body	1280	valid
10.0ms	155×	body	320	valid
5.0ms	100×	body	160	valid