Details

sample43.0ms

Algorithm

intervals

Results

16.0ms

396×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	25	6
1	69	5
2	195	4
3	461	4
4	969	4
5	1760	4
6	2455	4
7	3258	4
8	3451	4
9	3451	4

prune12.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
0.0b	(- (* d1 d2) (* d1 d3))
0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`diff-log`
4×	`add-sqr-sqrt` `sum-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip--`
1×	`+-commutative` `associate--l-` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 45

Calls

3 calls:

7.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
3.0ms	(- (* d1 d2) (* d1 d3))
5.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series123.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
34.0ms	(- (* d1 d2) (* d1 d3))
38.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify36.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	256	378
1	1060	326
2	5001	293

prune217.0ms

Filtered

54 candidates to 40 candidates (74.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* d1 (- d2 d3)) (* d4 d1)) (* d1 d1))
0.0b	(+ (* d1 (- d2 d3)) (* d4 d1))
0.0b	(* d1 (- d2 d3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

8.0ms	(- (+ (* d1 (- d2 d3)) (* d4 d1)) (* d1 d1))
6.0ms	(+ (* d1 (- d2 d3)) (* d4 d1))
6.0ms	(* d1 (- d2 d3))

series120.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (+ (* d1 (- d2 d3)) (* d4 d1)) (* d1 d1))
34.0ms	(+ (* d1 (- d2 d3)) (* d4 d1))
36.0ms	(* d1 (- d2 d3))

simplify49.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	275	349
1	1318	319
2	5002	295

prune225.0ms

Filtered

65 candidates to 45 candidates (69.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	65	4	69

Merged error: 0.0b

Counts

69 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* d1 (+ (- d2 d3) d4)) (* d1 d1))
0.0b	(* d1 (+ (- d2 d3) d4))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

8.0ms	(- (* d1 (+ (- d2 d3) d4)) (* d1 d1))
9.0ms	(* d1 (+ (- d2 d3) d4))

series83.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- (* d1 (+ (- d2 d3) d4)) (* d1 d1))
31.0ms	(* d1 (+ (- d2 d3) d4))

simplify35.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	221	239
1	1027	205
2	5001	202

prune140.0ms

Filtered

45 candidates to 31 candidates (68.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	45	4	49

Merged error: 0.0b

Counts

49 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
0.2b	(* (+ (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1) (- (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1))
1.5b	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
1.5b	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

7.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
28.0ms	(* (+ (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1) (- (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1))
6.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
5.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

series5.5s

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
4.7s	(* (+ (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1) (- (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1))
373.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
373.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

simplify74.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	498	1271
1	2496	1115
2	5001	1087

prune400.0ms

Filtered

91 candidates to 71 candidates (78.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	91	4	95

Merged error: 0.0b

Counts

95 → 4

regimes245.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample999.0ms

Algorithm

intervals

Results

482.0ms

11847×

body

valid

Details

sample43.0ms

simplify84.0ms

prune12.0ms

localize9.0ms

rewrite17.0ms

series123.0ms

simplify36.0ms

prune217.0ms

localize8.0ms

rewrite21.0ms

series120.0ms

simplify49.0ms

prune225.0ms

localize10.0ms

rewrite17.0ms

series83.0ms

simplify35.0ms

prune140.0ms

localize12.0ms

rewrite47.0ms

series5.5s

simplify74.0ms

prune400.0ms

regimes245.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample999.0ms

Profiling