Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	287×	body	80	valid
1.0ms	12×	body	640	valid
0.0ms	4×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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))

rewrite42.0ms

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:

42.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify92.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (7.0ms)

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

prune48.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

44.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify77.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	125	120
1	576	103
2	4103	103
3	5003	103

prune45.0ms

Filtered

25 candidates to 15 candidates (60.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

5.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify80.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	119	102
1	475	86
2	2601	84
3	5001	84

prune39.0ms

Filtered

17 candidates to 13 candidates (76.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ 3.0 d2) d3))
0.0b	(sqrt (+ (+ 3.0 d2) d3))
0.2b	(* (sqrt (+ (+ 3.0 d2) d3)) d1)
0.3b	(* (sqrt (+ (+ 3.0 d2) d3)) (* (sqrt (+ (+ 3.0 d2) d3)) d1))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

16.0ms	(sqrt (+ (+ 3.0 d2) d3))
17.0ms	(sqrt (+ (+ 3.0 d2) d3))
38.0ms	(* (sqrt (+ (+ 3.0 d2) d3)) d1)
74.0ms	(* (sqrt (+ (+ 3.0 d2) d3)) (* (sqrt (+ (+ 3.0 d2) d3)) d1))

series194.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt (+ (+ 3.0 d2) d3))
40.0ms	(sqrt (+ (+ 3.0 d2) d3))
91.0ms	(* (sqrt (+ (+ 3.0 d2) d3)) d1)
26.0ms	(* (sqrt (+ (+ 3.0 d2) d3)) (* (sqrt (+ (+ 3.0 d2) d3)) d1))

simplify44.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	335	740
1	1140	646
2	5001	638

prune191.0ms

Filtered

103 candidates to 65 candidates (63.1%)

Pruning

5 alts after pruning (2 fresh and 3 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	10	3
1	10	3

end0.0ms

sample489.0ms

Algorithm

intervals

Results

240.0ms	9496×	body	80	valid
19.0ms	205×	body	640	valid
11.0ms	98×	body	1280	valid
10.0ms	147×	body	320	valid
5.0ms	95×	body	160	valid