Details

sample35.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

18.0ms

374×

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

prune10.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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

series29.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
13.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
7.0ms	(- (* d1 d2) (* d1 d3))

simplify34.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (29.0ms)

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

prune56.0ms

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

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))))

rewrite60.0ms

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)))
9.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
22.0ms	(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))

series216.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
52.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
50.0ms	(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 (38.0ms)

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

prune178.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

5.2b	(+ (pow (- d2 d3) 3) (pow (- d4 d1) 3))
5.5b	(- (* (- d4 d1) (- d4 d1)) (* (- d2 d3) (- d4 d1)))
6.9b	(* d1 (+ (pow (- d2 d3) 3) (pow (- d4 d1) 3)))
41.7b	(/ (* d1 (+ (pow (- d2 d3) 3) (pow (- d4 d1) 3))) (+ (* (- d2 d3) (- d2 d3)) (- (* (- d4 d1) (- d4 d1)) (* (- d2 d3) (- d4 d1)))))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

1341×	`flip3--` `flip--`
856×	`frac-times`
576×	`frac-sub`
572×	`frac-add`
562×	`associate-/r/`
494×	`associate-*r/`
446×	`associate-*l/`
108×	`*-un-lft-identity`
36×	`sub-div`
34×	`distribute-lft-out`
32×	`unpow-prod-down` `cube-prod` `distribute-lft-out--`
24×	`cube-div`
21×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1` `associate-/l/`
5×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
4×	`flip3-+` `associate--l+` `flip-+` `associate--r+`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `sum-cubes` `cbrt-unprod`
1×	`+-commutative` `distribute-rgt-out--` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 755

Calls

4 calls:

19.0ms	(+ (pow (- d2 d3) 3) (pow (- d4 d1) 3))
13.0ms	(- (* (- d4 d1) (- d4 d1)) (* (- d2 d3) (- d4 d1)))
29.0ms	(* d1 (+ (pow (- d2 d3) 3) (pow (- d4 d1) 3)))
82.0ms	(/ (* d1 (+ (pow (- d2 d3) 3) (pow (- d4 d1) 3))) (+ (* (- d2 d3) (- d2 d3)) (- (* (- d4 d1) (- d4 d1)) (* (- d2 d3) (- d4 d1)))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(+ (pow (- d2 d3) 3) (pow (- d4 d1) 3))
26.0ms	(- (* (- d4 d1) (- d4 d1)) (* (- d2 d3) (- d4 d1)))
126.0ms	(* d1 (+ (pow (- d2 d3) 3) (pow (- d4 d1) 3)))
157.0ms	(/ (* d1 (+ (pow (- d2 d3) 3) (pow (- d4 d1) 3))) (+ (* (- d2 d3) (- d2 d3)) (- (* (- d4 d1) (- d4 d1)) (* (- d2 d3) (- d4 d1)))))

simplify322.0ms

Algorithm

egg-herbie

Counts

767 → 767

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5001	34980

prune3.1s

Filtered

716 candidates to 767 candidates (-7.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	767	0	767
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	767	4	771

Merged error: 0b

Counts

771 → 4

regimes280.0ms

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

sample895.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

491.0ms

11850×

body

valid

Details

sample35.0ms

simplify81.0ms

prune10.0ms

localize6.0ms

rewrite12.0ms

series11.0ms

simplify40.0ms

prune42.0ms

localize10.0ms

rewrite18.0ms

series29.0ms

simplify34.0ms

prune56.0ms

localize10.0ms

rewrite60.0ms

series216.0ms

simplify70.0ms

prune178.0ms

localize18.0ms

rewrite269.0ms

series420.0ms

simplify322.0ms

prune3.1s

regimes280.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample895.0ms

Profiling