Details

sample29.0ms

Algorithm

intervals

Results

16.0ms

388×

body

valid

simplify81.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

11.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	298	214
1	1486	191
2	5003	191

prune60.0ms

Filtered

33 candidates to 22 candidates (66.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Merged error: 0.0b

Counts

35 → 2

localize10.0ms

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))

rewrite22.0ms

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))
11.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

series128.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* d1 d2) (* d1 d3))
41.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
50.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 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

prune100.0ms

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`swap-sqr`
8×	`flip3--` `flip--`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 103

Calls

4 calls:

11.0ms	(+ (* (sqrt (- (* d1 d2) (* d1 d3))) (sqrt (- (* d1 d2) (* d1 d3)))) (* d4 d1))
12.0ms	(* (sqrt (- (* d1 d2) (* d1 d3))) (sqrt (- (* d1 d2) (* d1 d3))))
4.0ms	(sqrt (- (* d1 d2) (* d1 d3)))
4.0ms	(sqrt (- (* d1 d2) (* d1 d3)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* (sqrt (- (* d1 d2) (* d1 d3))) (sqrt (- (* d1 d2) (* d1 d3)))) (* d4 d1))
36.0ms	(* (sqrt (- (* d1 d2) (* d1 d3))) (sqrt (- (* d1 d2) (* d1 d3))))
59.0ms	(sqrt (- (* d1 d2) (* d1 d3)))
58.0ms	(sqrt (- (* d1 d2) (* d1 d3)))

simplify57.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	306	903
1	1382	760
2	5002	718

prune211.0ms

Filtered

115 candidates to 71 candidates (61.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	115	3	118

Merged error: 0b

Counts

118 → 3

regimes83.0ms

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

sample767.0ms

Algorithm

intervals

Results

489.0ms

11766×

body

valid