Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	319×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	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: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

10.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
2.0ms	(+ (* d1 3.0) (* d1 d2))

series78.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
42.0ms	(+ (* d1 3.0) (* d1 d2))

simplify109.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	187	191
1	787	163
2	3595	151
3	5001	151

prune73.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:

26.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify92.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	146	117
1	739	103
2	4443	103
3	5002	103

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ d3 d2) (+ d3 d2))
8.0b	(* d1 (- (* 3.0 3.0) (* (+ d3 d2) (+ d3 d2))))
15.2b	(/ (* d1 (- (* 3.0 3.0) (* (+ d3 d2) (+ d3 d2)))) (- 3.0 (+ d3 d2)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

16.0ms	(* (+ d3 d2) (+ d3 d2))
10.0ms	(* d1 (- (* 3.0 3.0) (* (+ d3 d2) (+ d3 d2))))
21.0ms	(/ (* d1 (- (* 3.0 3.0) (* (+ d3 d2) (+ d3 d2)))) (- 3.0 (+ d3 d2)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* (+ d3 d2) (+ d3 d2))
60.0ms	(* d1 (- (* 3.0 3.0) (* (+ d3 d2) (+ d3 d2))))
95.0ms	(/ (* d1 (- (* 3.0 3.0) (* (+ d3 d2) (+ d3 d2)))) (- 3.0 (+ d3 d2)))

simplify80.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	509	816
1	2640	706
2	5003	702

prune183.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ d3 d2) (+ d3 d2))
0.3b	(/ d1 (/ (- 3.0 (+ d3 d2)) (- (* 3.0 3.0) (* (+ d3 d2) (+ d3 d2)))))
18.6b	(/ (- 3.0 (+ d3 d2)) (- (* 3.0 3.0) (* (+ d3 d2) (+ d3 d2))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 229

Calls

3 calls:

18.0ms	(* (+ d3 d2) (+ d3 d2))
22.0ms	(/ d1 (/ (- 3.0 (+ d3 d2)) (- (* 3.0 3.0) (* (+ d3 d2) (+ d3 d2)))))
23.0ms	(/ (- 3.0 (+ d3 d2)) (- (* 3.0 3.0) (* (+ d3 d2) (+ d3 d2))))

series175.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* (+ d3 d2) (+ d3 d2))
95.0ms	(/ d1 (/ (- 3.0 (+ d3 d2)) (- (* 3.0 3.0) (* (+ d3 d2) (+ d3 d2)))))
66.0ms	(/ (- 3.0 (+ d3 d2)) (- (* 3.0 3.0) (* (+ d3 d2) (+ d3 d2))))

simplify149.0ms

Algorithm

egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	866	3191
1	4952	2933
2	5002	2908

prune488.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes75.0ms

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	14	5
1	14	5

end0.0ms

sample513.0ms

Algorithm

intervals

Results

249.0ms	9608×	body	80	valid
19.0ms	216×	body	640	valid
11.0ms	101×	body	1280	valid
10.0ms	152×	body	320	valid
4.0ms	86×	body	160	valid