Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

398×

body

valid

simplify86.0ms

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

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

localize13.0ms

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))

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:

3.0ms	(- (* d1 d2) (* d1 d3))
5.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
8.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

series30.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(- (* d1 d2) (* d1 d3))
10.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
13.0ms	(- (+ (- (* 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

prune178.0ms

Filtered

54 candidates to 40 candidates (25.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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)))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (8.0ms)

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

prune91.0ms

Filtered

33 candidates to 22 candidates (33.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (- d2 d3) (- d4 d1)))
0.5b	(cbrt (+ (- d2 d3) (- d4 d1)))
0.5b	(cbrt (+ (- d2 d3) (- d4 d1)))
0.5b	(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

203×	`*-un-lft-identity`
102×	`cbrt-div`
93×	`cbrt-prod`
68×	`flip3--` `frac-add` `flip--`
60×	`distribute-lft-out` `distribute-lft-out--`
36×	`frac-times`
30×	`swap-sqr`
23×	`add-sqr-sqrt`
17×	`flip3-+` `flip-+`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log` `associate-r/` `associate-l/`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 183

Calls

4 calls:

8.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
8.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
8.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
24.0ms	(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
55.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
56.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
65.0ms	(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))

simplify70.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	489	3392
1	1599	3327
2	5002	3062

prune1.2s

Filtered

195 candidates to 106 candidates (45.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	195	5	200

Merged error: 0b

Counts

200 → 5

localize11.0ms

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))
1.1b	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
1.1b	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

rewrite37.0ms

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))
19.0ms	(* (+ (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)))

series1.8s

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
1.7s	(* (+ (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1) (- (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1))
73.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
74.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

simplify69.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	498	1273
1	2496	1115
2	5001	1087

prune457.0ms

Filtered

91 candidates to 71 candidates (22.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	91	5	96

Merged error: 0b

Counts

96 → 5

regimes355.0ms

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	15	7
1	15	7

end0.0ms

sample982.0ms

Algorithm

intervals

Results

481.0ms

12037×

body

valid

Details

sample37.0ms

simplify86.0ms

prune13.0ms

localize13.0ms

rewrite17.0ms

series30.0ms

simplify36.0ms

prune178.0ms

localize6.0ms

rewrite12.0ms

series11.0ms

simplify41.0ms

prune91.0ms

localize10.0ms

rewrite63.0ms

series229.0ms

simplify70.0ms

prune1.2s

localize11.0ms

rewrite37.0ms

series1.8s

simplify69.0ms

prune457.0ms

regimes355.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample982.0ms

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