Details

sample21.0ms

Algorithm

intervals

Results

10.0ms	319×	body	80	valid
0.0ms	6×	body	320	valid
0.0ms	4×	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: 0.0b

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))

rewrite14.0ms

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:

11.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
2.0ms	(+ (* d1 3.0) (* d1 d2))

series81.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
40.0ms	(+ (* d1 3.0) (* d1 d2))

simplify106.0ms

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

prune63.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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-+r+` `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 (+ d2 d3))
3.0ms	(+ (* d1 3.0) (* d1 (+ d2 d3)))

series64.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* d1 (+ d2 d3))
40.0ms	(+ (* d1 3.0) (* d1 (+ d2 d3)))

simplify35.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	214	179
1	1012	161
2	5001	158

prune77.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* (* d1 d1) (- (* 3.0 3.0) (* d2 d2))) (* d1 (- 3.0 d2))) (* d1 d3))
0.0b	(* d1 (- 3.0 d2))
12.6b	(* (* d1 d1) (- (* 3.0 3.0) (* d2 d2)))
25.1b	(/ (* (* d1 d1) (- (* 3.0 3.0) (* d2 d2))) (* d1 (- 3.0 d2)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

20.0ms	(+ (/ (* (* d1 d1) (- (* 3.0 3.0) (* d2 d2))) (* d1 (- 3.0 d2))) (* d1 d3))
9.0ms	(* d1 (- 3.0 d2))
14.0ms	(* (* d1 d1) (- (* 3.0 3.0) (* d2 d2)))
15.0ms	(/ (* (* d1 d1) (- (* 3.0 3.0) (* d2 d2))) (* d1 (- 3.0 d2)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(+ (/ (* (* d1 d1) (- (* 3.0 3.0) (* d2 d2))) (* d1 (- 3.0 d2))) (* d1 d3))
34.0ms	(* d1 (- 3.0 d2))
68.0ms	(* (* d1 d1) (- (* 3.0 3.0) (* d2 d2)))
90.0ms	(/ (* (* d1 d1) (- (* 3.0 3.0) (* d2 d2))) (* d1 (- 3.0 d2)))

simplify108.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	540	891
1	3284	690
2	5002	667

prune198.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3.0 3.0) (* d2 d2))
0.0b	(+ (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)) (* d1 d3))
7.1b	(* d1 (- (* 3.0 3.0) (* d2 d2)))
8.6b	(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

3.0ms	(- (* 3.0 3.0) (* d2 d2))
21.0ms	(+ (/ (* 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))

series283.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* 3.0 3.0) (* d2 d2))
89.0ms	(+ (/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2)) (* d1 d3))
63.0ms	(* d1 (- (* 3.0 3.0) (* d2 d2)))
89.0ms	(/ (* d1 (- (* 3.0 3.0) (* d2 d2))) (- 3.0 d2))

simplify58.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	403	655
1	1899	570
2	5002	536

prune184.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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	12	4
1	12	4

end0.0ms

sample476.0ms

Algorithm

intervals

Results

240.0ms	9567×	body	80	valid
18.0ms	206×	body	640	valid
10.0ms	143×	body	320	valid
10.0ms	86×	body	1280	valid
4.0ms	93×	body	160	valid