Details

analyze1.5s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 15.076957%

Guaranteed chance to sample good point: 58.704541%

sample32.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
3.0ms	80×	body	80	invalid

simplify82.0ms

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 2 expressions with local error:

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

rewrite21.0ms

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:

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

series34.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (- d2 d3) (- d4 d1))
15.0ms	(* d1 (+ (- d2 d3) (- d4 d1)))

simplify49.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (9.0ms)

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

prune64.0ms

Filtered

42 candidates to 64 candidates (-52.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	63	3	66

Merged error: 0b

Counts

66 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))
0.6b	(cbrt (+ (- d2 d3) (- d4 d1)))
0.6b	(cbrt (+ (- d2 d3) (- d4 d1)))
0.6b	(cbrt (+ (- d2 d3) (- d4 d1)))

rewrite61.0ms

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:

26.0ms	(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))
8.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
8.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
8.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))
52.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
55.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))
51.0ms	(cbrt (+ (- d2 d3) (- d4 d1)))

simplify73.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	489	3392
1	1591	3327
2	5001	3062

prune174.0ms

Filtered

106 candidates to 195 candidates (-84.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	195	3	198

Merged error: 0b

Counts

198 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

8.0ms	(+ (- d2 d3) (- d4 d1))
12.0ms	(* (sqrt d1) (+ (- d2 d3) (- d4 d1)))
14.0ms	(* (sqrt d1) (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))

series59.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ (- d2 d3) (- d4 d1))
29.0ms	(* (sqrt d1) (+ (- d2 d3) (- d4 d1)))
21.0ms	(* (sqrt d1) (* (sqrt d1) (+ (- d2 d3) (- d4 d1))))

simplify65.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	529	757
1	2550	682
2	5002	682

prune81.0ms

Filtered

68 candidates to 102 candidates (-50.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	102	3	105

Merged error: 0b

Counts

105 → 3

regimes212.0ms

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

analyze1.5s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 15.076957%

Guaranteed chance to sample good point: 58.704541%

sample705.0ms

Algorithm

intervals

Results

353.0ms	8000×	body	80	valid
94.0ms	2164×	body	80	invalid

Details

analyze1.5s

sample32.0ms

simplify82.0ms

prune11.0ms

localize6.0ms

rewrite21.0ms

series34.0ms

simplify49.0ms

prune64.0ms

localize10.0ms

rewrite61.0ms

series223.0ms

simplify73.0ms

prune174.0ms

localize9.0ms

rewrite38.0ms

series59.0ms

simplify65.0ms

prune81.0ms

regimes212.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.5s

sample705.0ms

Profiling