Details

analyze282.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample19.0ms

Algorithm

intervals

Results

8.0ms	241×	body	80	valid
1.0ms	8×	body	640	valid
1.0ms	23×	body	80	invalid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	74	7
1	74	7

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: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ 3.0 (+ d2 d3)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

10.0ms

(* d1 (+ 3.0 (+ d2 d3)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* d1 (+ 3.0 (+ d2 d3)))

simplify41.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5548	218

prune43.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* d1 (+ 3.0 (+ d2 d3)))) (cbrt (* d1 (+ 3.0 (+ d2 d3)))))
0.5b	(cbrt (* d1 (+ 3.0 (+ d2 d3))))
0.5b	(cbrt (* d1 (+ 3.0 (+ d2 d3))))
0.5b	(cbrt (* d1 (+ 3.0 (+ d2 d3))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* d1 (+ 3.0 (+ d2 d3)))) (cbrt (* d1 (+ 3.0 (+ d2 d3)))))
6.0ms	(cbrt (* d1 (+ 3.0 (+ d2 d3))))
6.0ms	(cbrt (* d1 (+ 3.0 (+ d2 d3))))
6.0ms	(cbrt (* d1 (+ 3.0 (+ d2 d3))))

series176.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (cbrt (* d1 (+ 3.0 (+ d2 d3)))) (cbrt (* d1 (+ 3.0 (+ d2 d3)))))
38.0ms	(cbrt (* d1 (+ 3.0 (+ d2 d3))))
41.0ms	(cbrt (* d1 (+ 3.0 (+ d2 d3))))
39.0ms	(cbrt (* d1 (+ 3.0 (+ d2 d3))))

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5112	1265

prune183.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ d2 d3) (+ d2 d3))
8.5b	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
19.0b	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

8.0ms	(* (+ d2 d3) (+ d2 d3))
6.0ms	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
11.0ms	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))

series55.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* (+ d2 d3) (+ d2 d3))
22.0ms	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
29.0ms	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))

simplify61.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4959	1100
1	4959	1100

prune118.0ms

Filtered

63 candidates to 103 candidates (-63.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	103	4	107

Merged error: 0b

Counts

107 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ d2 d3) (+ d2 d3))
0.0b	(* 3.0 (+ d2 d3))
6.1b	(* d1 (+ (pow 3.0 3) (pow (+ d2 d3) 3)))
31.7b	(/ (* d1 (+ (pow 3.0 3) (pow (+ d2 d3) 3))) (+ (* 3.0 3.0) (- (* (+ d2 d3) (+ d2 d3)) (* 3.0 (+ d2 d3)))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
21×	`associate-r`
20×	`add-sqr-sqrt` `distribute-lft-out`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt`
10×	`flip3-+` `associate-l` `flip-+`
8×	`unpow-prod-down` `cube-prod` `associate-*r/`
6×	`swap-sqr`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `pow-prod-down` `associate-/r` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `pow-sqr` `sum-cubes` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 120

Calls

4 calls:

8.0ms	(* (+ d2 d3) (+ d2 d3))
6.0ms	(* 3.0 (+ d2 d3))
17.0ms	(* d1 (+ (pow 3.0 3) (pow (+ d2 d3) 3)))
28.0ms	(/ (* d1 (+ (pow 3.0 3) (pow (+ d2 d3) 3))) (+ (* 3.0 3.0) (- (* (+ d2 d3) (+ d2 d3)) (* 3.0 (+ d2 d3)))))

series128.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (+ d2 d3) (+ d2 d3))
5.0ms	(* 3.0 (+ d2 d3))
40.0ms	(* d1 (+ (pow 3.0 3) (pow (+ d2 d3) 3)))
78.0ms	(/ (* d1 (+ (pow 3.0 3) (pow (+ d2 d3) 3))) (+ (* 3.0 3.0) (- (* (+ d2 d3) (+ d2 d3)) (* 3.0 (+ d2 d3)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5048	1603

prune191.0ms

Filtered

78 candidates to 132 candidates (-69.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	132	4	136

Merged error: 0b

Counts

136 → 4

regimes144.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	30	7

end0.0ms

sample514.0ms

Algorithm

intervals

Results

252.0ms	7455×	body	80	valid
22.0ms	203×	body	640	valid
20.0ms	627×	body	80	invalid
14.0ms	103×	body	1280	valid
13.0ms	154×	body	320	valid
5.0ms	85×	body	160	valid

Details

analyze282.0ms

sample19.0ms

simplify4.0ms

prune10.0ms

localize5.0ms

rewrite11.0ms

series7.0ms

simplify41.0ms

prune43.0ms

localize9.0ms

rewrite26.0ms

series176.0ms

simplify46.0ms

prune183.0ms

localize9.0ms

rewrite29.0ms

series55.0ms

simplify61.0ms

prune118.0ms

localize15.0ms

rewrite62.0ms

series128.0ms

simplify57.0ms

prune191.0ms

regimes144.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample514.0ms

Profiling