Details

analyze306.0ms

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%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample18.0ms

Algorithm

intervals

Results

8.0ms	253×	body	80	valid
1.0ms	18×	body	80	invalid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	135	9
1	135	9

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
6×	`associate-r` `distribute-lft-out`
5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
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 → 25

Calls

1 calls:

9.0ms

(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))

simplify36.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4998	267
1	4998	267

prune40.0ms

Filtered

17 candidates to 28 candidates (-64.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 0b

Counts

30 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ d3 5.0) d1)
0.0b	(+ (* d1 d2) (* (+ d3 5.0) d1))
0.0b	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

7.0ms	(* (+ d3 5.0) d1)
4.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
6.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series19.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (+ d3 5.0) d1)
7.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
8.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5015	502

prune66.0ms

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 d1) (cbrt d1))
0.6b	(cbrt d1)
0.6b	(cbrt d1)
0.6b	(cbrt d1)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `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 → 73

Calls

4 calls:

5.0ms	(* (cbrt d1) (cbrt d1))
1.0ms	(cbrt d1)
1.0ms	(cbrt d1)
1.0ms	(cbrt d1)

series89.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt d1) (cbrt d1))
20.0ms	(cbrt d1)
20.0ms	(cbrt d1)
23.0ms	(cbrt d1)

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5165	356

prune77.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0)))
3.0b	(- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))))
10.6b	(* d1 (- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0)))))
16.3b	(/ (* d1 (- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))))) (- d2 (+ d3 (+ 5.0 32.0))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

12.0ms	(* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0)))
4.0ms	(- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))))
6.0ms	(* d1 (- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0)))))
13.0ms	(/ (* d1 (- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))))) (- d2 (+ d3 (+ 5.0 32.0))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0)))
7.0ms	(- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))))
20.0ms	(* d1 (- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0)))))
25.0ms	(/ (* d1 (- (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 32.0))))) (- d2 (+ d3 (+ 5.0 32.0))))

simplify53.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5035	1803

prune159.0ms

Filtered

82 candidates to 129 candidates (-57.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	129	4	133

Merged error: 0b

Counts

133 → 4

regimes225.0ms

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	13	9
1	13	9

end0.0ms

sample465.0ms

Algorithm

intervals

Results

268.0ms	7950×	body	80	valid
21.0ms	667×	body	80	invalid
3.0ms	25×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	4×	body	1280	valid
0.0ms	8×	body	160	valid

Details

analyze306.0ms

sample18.0ms

simplify4.0ms

prune10.0ms

localize7.0ms

rewrite10.0ms

series7.0ms

simplify36.0ms

prune40.0ms

localize8.0ms

rewrite19.0ms

series19.0ms

simplify42.0ms

prune66.0ms

localize10.0ms

rewrite10.0ms

series89.0ms

simplify48.0ms

prune77.0ms

localize10.0ms

rewrite40.0ms

series54.0ms

simplify53.0ms

prune159.0ms

regimes225.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample465.0ms

Profiling