Details

analyze365.0ms

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

sample21.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	25×	body	80	invalid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4992	11
1	4992	11

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 0.75 (/ (- x z) y))
0.0b	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
0.0b	(/ (- x z) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`times-frac`
13×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`pow1` `associate-/r*`
2×	`+-commutative` `associate-+r+` `flip3-+` `div-sub` `sum-log` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `associate-+r-` `flip3--` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

9.0ms	(+ 0.75 (/ (- x z) y))
3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
6.0ms	(/ (- x z) y)

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ 0.75 (/ (- x z) y))
7.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
6.0ms	(/ (- x z) y)

simplify47.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5911	740

prune82.0ms

Filtered

54 candidates to 73 candidates (-35.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	3	74

Merged error: 0b

Counts

74 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 4.0 (* (- x z) (/ 4.0 y)))
0.3b	(* (- x z) (/ 4.0 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ 4.0 (* (- x z) (/ 4.0 y)))
9.0ms	(* (- x z) (/ 4.0 y))

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 4.0 (* (- x z) (/ 4.0 y)))
8.0ms	(* (- x z) (/ 4.0 y))

simplify44.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5417	557

prune62.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	55	3	58

Merged error: 0b

Counts

58 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x z)) (cbrt (- x z)))
0.5b	(cbrt (- x z))
0.5b	(cbrt (- x z))
0.5b	(cbrt (- x z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
3.0ms	(cbrt (- x z))
3.0ms	(cbrt (- x z))
3.0ms	(cbrt (- x z))

series108.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
28.0ms	(cbrt (- x z))
25.0ms	(cbrt (- x z))
26.0ms	(cbrt (- x z))

simplify59.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4967	1021
1	4967	1021

prune111.0ms

Filtered

77 candidates to 113 candidates (-46.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Merged error: 0b

Counts

116 → 3

regimes128.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

end0.0ms

sample510.0ms

Algorithm

intervals

Results

293.0ms	8000×	body	80	valid
31.0ms	882×	body	80	invalid

Details

analyze365.0ms

sample21.0ms

simplify51.0ms

prune7.0ms

localize8.0ms

rewrite19.0ms

series18.0ms

simplify47.0ms

prune82.0ms

localize6.0ms

rewrite14.0ms

series15.0ms

simplify44.0ms

prune62.0ms

localize13.0ms

rewrite23.0ms

series108.0ms

simplify59.0ms

prune111.0ms

regimes128.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample510.0ms

Profiling