Details

analyze497.0ms

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
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

sample18.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	20×	body	80	invalid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	673	7
1	673	7

prune3.0ms

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 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

8.0ms

(* (+ x y) (- 1.0 z))

series8.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (+ x y) (- 1.0 z))

simplify39.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5170	379

prune45.0ms

Filtered

25 candidates to 34 candidates (-36.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0b

Counts

35 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (+ x y) (sqrt (- 1.0 z)))
0.1b	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 82

Calls

2 calls:

9.0ms	(* (+ x y) (sqrt (- 1.0 z)))
14.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

series21.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(* (+ x y) (sqrt (- 1.0 z)))
8.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4954	1418
1	4954	1418

prune123.0ms

Filtered

61 candidates to 88 candidates (-44.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Merged error: 0b

Counts

91 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

1.9b	(* (+ x y) (- (* 1.0 1.0) (* z z)))
10.4b	(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

9.0ms	(* (+ x y) (- (* 1.0 1.0) (* z z)))
11.0ms	(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

series40.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* (+ x y) (- (* 1.0 1.0) (* z z)))
23.0ms	(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

simplify43.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5052	966

prune83.0ms

Filtered

52 candidates to 69 candidates (-32.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	69	3	72

Merged error: 0b

Counts

72 → 3

regimes259.0ms

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	19	7
1	19	7

end0.0ms

sample388.0ms

Algorithm

intervals

Results

190.0ms	7997×	body	80	valid
14.0ms	619×	body	80	invalid
3.0ms	1×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze497.0ms

sample18.0ms

simplify25.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series8.0ms

simplify39.0ms

prune45.0ms

localize7.0ms

rewrite27.0ms

series21.0ms

simplify55.0ms

prune123.0ms

localize9.0ms

rewrite22.0ms

series40.0ms

simplify43.0ms

prune83.0ms

regimes259.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample388.0ms

Profiling