Details

sample36.0ms

Algorithm

intervals

Results

19.0ms

375×

body

valid

simplify87.0ms

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

prune11.0ms

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

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)))

simplify40.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (8.0ms)

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

prune42.0ms

Filtered

22 candidates to 33 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Merged error: 0b

Counts

35 → 4

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:

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

series31.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
7.0ms	(- (* d1 d2) (* d1 d3))
10.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify38.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (32.0ms)

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

prune63.0ms

Filtered

40 candidates to 54 candidates (-35.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize11.0ms

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)))
0.6b	(* (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:

11.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
8.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
8.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
23.0ms	(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))

series220.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
52.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
54.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
63.0ms	(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))

simplify71.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (38.0ms)

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

prune171.0ms

Filtered

106 candidates to 195 candidates (-84.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	195	4	199

Merged error: 0b

Counts

199 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (- d2 d3) (- d4 d1)))
0.1b	(* (sqrt d1) (sqrt (+ (- d2 d3) (- d4 d1))))
0.1b	(* (sqrt d1) (sqrt (+ (- d2 d3) (- d4 d1))))
0.1b	(* (* (sqrt d1) (sqrt (+ (- d2 d3) (- d4 d1)))) (* (sqrt d1) (sqrt (+ (- d2 d3) (- d4 d1)))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

102×	`sqrt-div` `associate-*r/`
68×	`pow1` `flip3--` `frac-add` `flip--`
49×	`*-un-lft-identity`
41×	`pow-prod-down`
36×	`frac-times`
35×	`sqrt-prod`
30×	`add-sqr-sqrt`
21×	`sqrt-pow1` `pow1/2` `associate-r`
20×	`add-exp-log` `add-cbrt-cube`
17×	`flip3-+` `flip-+`
13×	`add-cube-cbrt` `associate-l`
12×	`distribute-lft-out` `distribute-lft-out--`
10×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-up` `unswap-sqr`
7×	`sqrt-unprod`
6×	`associate-*l/` `pow-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`pow-plus`
1×	`pow2` `rem-sqrt-square` `swap-sqr` `rem-square-sqrt`

Counts

4 → 195

Calls

4 calls:

10.0ms	(sqrt (+ (- d2 d3) (- d4 d1)))
14.0ms	(* (sqrt d1) (sqrt (+ (- d2 d3) (- d4 d1))))
14.0ms	(* (sqrt d1) (sqrt (+ (- d2 d3) (- d4 d1))))
27.0ms	(* (* (sqrt d1) (sqrt (+ (- d2 d3) (- d4 d1)))) (* (sqrt d1) (sqrt (+ (- d2 d3) (- d4 d1)))))

series246.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt (+ (- d2 d3) (- d4 d1)))
89.0ms	(* (sqrt d1) (sqrt (+ (- d2 d3) (- d4 d1))))
99.0ms	(* (sqrt d1) (sqrt (+ (- d2 d3) (- d4 d1))))
21.0ms	(* (* (sqrt d1) (sqrt (+ (- d2 d3) (- d4 d1)))) (* (sqrt d1) (sqrt (+ (- d2 d3) (- d4 d1)))))

simplify103.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	816	3220
1	3650	2985
2	5001	2954

prune165.0ms

Filtered

119 candidates to 207 candidates (-73.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	207	0	207
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	207	4	211

Merged error: 0b

Counts

211 → 4

regimes285.0ms

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

sample902.0ms

Algorithm

intervals

Results

511.0ms

11932×

body

valid

Details

sample36.0ms

simplify87.0ms

prune11.0ms

localize6.0ms

rewrite12.0ms

series11.0ms

simplify40.0ms

prune42.0ms

localize9.0ms

rewrite17.0ms

series31.0ms

simplify38.0ms

prune63.0ms

localize11.0ms

rewrite63.0ms

series220.0ms

simplify71.0ms

prune171.0ms

localize9.0ms

rewrite78.0ms

series246.0ms

simplify103.0ms

prune165.0ms

regimes285.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample902.0ms

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