Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

381×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune6.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

9.0ms	(+ (- d2 d3) (- d4 d1))
12.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (- d2 d3) (- d4 d1))
47.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))

simplify52.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	391	410
1	1841	378
2	5002	378

prune104.0ms

Filtered

64 candidates to 42 candidates (65.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	2	66

Merged error: 0.0b

Counts

66 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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:

3.0ms	(- (* d1 d2) (* d1 d3))
6.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
9.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

series125.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* d1 d2) (* d1 d3))
38.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
51.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

simplify36.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (30.0ms)

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

prune94.0ms

Filtered

54 candidates to 40 candidates (74.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	53	3	56

Merged error: 0b

Counts

56 → 3

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))
1.6b	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
1.6b	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

rewrite41.0ms

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:

6.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
23.0ms	(* (+ (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1) (- (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1))
5.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
5.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

series3.7s

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
3.2s	(* (+ (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1) (- (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1))
195.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
194.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

simplify63.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	461	1261
1	2249	1083
2	5002	1044

prune230.0ms

Filtered

91 candidates to 69 candidates (75.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	91	3	94

Merged error: 0b

Counts

94 → 3

regimes87.0ms

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	10	4
1	10	4

end0.0ms

sample810.0ms

Algorithm

intervals

Results

507.0ms

11910×

body

valid