Details

sample1.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.036621%

Guaranteed chance to sample good point: 61.21016%

Results

15.0ms	256×	body	80	valid
5.0ms	110×	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

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

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))

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:

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

series29.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(- (+ (- (* 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 (30.0ms)

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

prune62.0ms

Filtered

40 candidates to 54 candidates (-35.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Merged error: 0.0b

Counts

56 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

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

series22.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify35.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	221	239
1	1027	205
2	5001	202

prune44.0ms

Filtered

32 candidates to 45 candidates (-40.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	45	3	48

Merged error: 0b

Counts

48 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- d2 d3) (- d2 d3))
6.2b	(- (* (- d2 d3) (- d2 d3)) (* d4 d4))
11.0b	(* d1 (- (* (- d2 d3) (- d2 d3)) (* d4 d4)))
24.6b	(/ (* d1 (- (* (- d2 d3) (- d2 d3)) (* d4 d4))) (- (- d2 d3) d4))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `associate--l+` `distribute-lft-out--`
11×	`sub-neg`
10×	`flip3--` `flip--`
9×	`associate-r`
8×	`associate-l` `difference-of-squares`
7×	`swap-sqr`
6×	`times-frac` `associate-r/` `associate-/r` `add-log-exp`
4×	`frac-times`
3×	`prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 126

Calls

4 calls:

9.0ms	(* (- d2 d3) (- d2 d3))
9.0ms	(- (* (- d2 d3) (- d2 d3)) (* d4 d4))
16.0ms	(* d1 (- (* (- d2 d3) (- d2 d3)) (* d4 d4)))
19.0ms	(/ (* d1 (- (* (- d2 d3) (- d2 d3)) (* d4 d4))) (- (- d2 d3) d4))

series94.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- d2 d3) (- d2 d3))
14.0ms	(- (* (- d2 d3) (- d2 d3)) (* d4 d4))
37.0ms	(* d1 (- (* (- d2 d3) (- d2 d3)) (* d4 d4)))
39.0ms	(/ (* d1 (- (* (- d2 d3) (- d2 d3)) (* d4 d4))) (- (- d2 d3) d4))

simplify80.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	511	1070
1	2642	931
2	5001	927

prune96.0ms

Filtered

79 candidates to 138 candidates (-74.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	138	3	141

Merged error: 0b

Counts

141 → 3

regimes257.0ms

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	11	5
1	11	5

end0.0ms

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.036621%

Guaranteed chance to sample good point: 61.21016%

Results

340.0ms	8000×	body	80	valid
170.0ms	3914×	body	80	invalid

Details

sample1.9s

simplify82.0ms

prune10.0ms

localize9.0ms

rewrite18.0ms

series29.0ms

simplify38.0ms

prune62.0ms

localize7.0ms

rewrite17.0ms

series22.0ms

simplify35.0ms

prune44.0ms

localize12.0ms

rewrite58.0ms

series94.0ms

simplify80.0ms

prune96.0ms

regimes257.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

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