Details

analyze288.0ms

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

sample22.0ms

Algorithm

intervals

Results

8.0ms	242×	body	80	valid
1.0ms	24×	body	80	invalid
1.0ms	6×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune9.0ms

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 (+ 3.0 (+ d2 d3)))

rewrite8.0ms

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:

8.0ms

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

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5254	218

prune37.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
0.4b	(cbrt (+ 3.0 (+ d2 d3)))
0.4b	(cbrt (+ 3.0 (+ d2 d3)))
0.4b	(cbrt (+ 3.0 (+ d2 d3)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

14.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
5.0ms	(cbrt (+ 3.0 (+ d2 d3)))
5.0ms	(cbrt (+ 3.0 (+ d2 d3)))
5.0ms	(cbrt (+ 3.0 (+ d2 d3)))

series75.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
17.0ms	(cbrt (+ 3.0 (+ d2 d3)))
17.0ms	(cbrt (+ 3.0 (+ d2 d3)))
20.0ms	(cbrt (+ 3.0 (+ d2 d3)))

simplify53.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4909	1369
1	4909	1369

prune163.0ms

Filtered

71 candidates to 117 candidates (-64.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Merged error: 0b

Counts

120 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))
0.0b	(* (+ d2 d3) (+ d2 d3))
9.0b	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
13.6b	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate-/r` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `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 → 108

Calls

4 calls:

4.0ms	(- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))
8.0ms	(* (+ d2 d3) (+ d2 d3))
7.0ms	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
14.0ms	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))

series63.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))
3.0ms	(* (+ d2 d3) (+ d2 d3))
20.0ms	(* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
30.0ms	(/ (* d1 (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (- 3.0 (+ d2 d3)))

simplify52.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4990	1357
1	4990	1357

prune129.0ms

Filtered

80 candidates to 120 candidates (-50.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Merged error: 0b

Counts

123 → 3

regimes132.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample485.0ms

Algorithm

intervals

Results

236.0ms	7480×	body	80	valid
26.0ms	213×	body	640	valid
23.0ms	682×	body	80	invalid
12.0ms	150×	body	320	valid
11.0ms	73×	body	1280	valid
5.0ms	84×	body	160	valid

Details

analyze288.0ms

sample22.0ms

simplify3.0ms

prune9.0ms

localize6.0ms

rewrite8.0ms

series7.0ms

simplify43.0ms

prune37.0ms

localize9.0ms

rewrite34.0ms

series75.0ms

simplify53.0ms

prune163.0ms

localize9.0ms

rewrite36.0ms

series63.0ms

simplify52.0ms

prune129.0ms

regimes132.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample485.0ms

Profiling