Details

sample21.0ms

Algorithm

intervals

Results

10.0ms	299×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	6×	body	320	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid

simplify8.0ms

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))

rewrite37.0ms

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:

37.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify84.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

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

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
2.1b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
6.6b	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
16.4b	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite93.0ms

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:

16.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
8.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
33.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
32.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series226.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
34.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
78.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
95.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify82.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	538	973
1	2736	846
2	5002	842

prune213.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
0.3b	(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
2.1b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
21.0b	(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

214×	`*-un-lft-identity`
210×	`times-frac`
139×	`add-sqr-sqrt`
95×	`add-cube-cbrt`
53×	`difference-of-squares`
42×	`distribute-lft-out--`
34×	`associate-/r*`
27×	`distribute-lft-out`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `associate-/r/`
9×	`associate-/l*`
7×	`flip3--` `flip--`
6×	`flip3-+` `swap-sqr` `flip-+` `div-inv` `add-log-exp`
4×	`cbrt-undiv` `frac-times` `div-exp` `associate-r` `associate-l`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `clear-num` `associate-/l/`
1×	`pow2` `sub-neg` `pow-plus` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 244

Calls

4 calls:

16.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
37.0ms	(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
8.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
48.0ms	(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
94.0ms	(/ d1 (/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))))
37.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
66.0ms	(/ (- (+ 3.0 d2) d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

simplify58.0ms

Algorithm

egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	882	3320
1	5001	3060

prune486.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d2 (+ 3.0 d2))
2.1b	(- (* d2 (+ 3.0 d2)) (* d3 d3))
6.6b	(* d1 (+ (* 3.0 (+ 3.0 d2)) (- (* d2 (+ 3.0 d2)) (* d3 d3))))
16.4b	(/ (* d1 (+ (* 3.0 (+ 3.0 d2)) (- (* d2 (+ 3.0 d2)) (* d3 d3)))) (- (+ 3.0 d2) d3))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

9.0ms	(* d2 (+ 3.0 d2))
5.0ms	(- (* d2 (+ 3.0 d2)) (* d3 d3))
55.0ms	(* d1 (+ (* 3.0 (+ 3.0 d2)) (- (* d2 (+ 3.0 d2)) (* d3 d3))))
36.0ms	(/ (* d1 (+ (* 3.0 (+ 3.0 d2)) (- (* d2 (+ 3.0 d2)) (* d3 d3)))) (- (+ 3.0 d2) d3))

series249.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* d2 (+ 3.0 d2))
33.0ms	(- (* d2 (+ 3.0 d2)) (* d3 d3))
79.0ms	(* d1 (+ (* 3.0 (+ 3.0 d2)) (- (* d2 (+ 3.0 d2)) (* d3 d3))))
96.0ms	(/ (* d1 (+ (* 3.0 (+ 3.0 d2)) (- (* d2 (+ 3.0 d2)) (* d3 d3)))) (- (+ 3.0 d2) d3))

simplify110.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	667	1041
1	4151	900
2	5001	892

prune245.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes57.0ms

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

sample481.0ms

Algorithm

intervals

Results

242.0ms	9619×	body	80	valid
19.0ms	211×	body	640	valid
13.0ms	156×	body	320	valid
9.0ms	76×	body	1280	valid
4.0ms	94×	body	160	valid