Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

306×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	6
1	46	6
2	73	6
3	99	6
4	119	6
5	145	6
6	178	6
7	253	6
8	333	6
9	467	6
10	467	6

prune2.0ms

Filtered

1 candidates to 0 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 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b	(/ (* y z) 2.0)
0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `sub-neg` `associate-+l+` `diff-log` `div-exp` `sum-log`
1×	`+-commutative` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `associate-l/` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l`

Counts

3 → 50

Calls

3 calls:

6.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
4.0ms	(/ (* y z) 2.0)
8.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

series127.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
17.0ms	(/ (* y z) 2.0)
55.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

simplify33.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	282	355
1	1056	330
2	5001	330

prune310.0ms

Filtered

59 candidates to 43 candidates (72.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	4	60

Merged error: 0b

Counts

60 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z)))
0.0b	(+ (- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z))) t)
0.2b	(/ y (/ 2.0 z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
47×	`*-un-lft-identity`
45×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-/r*`
10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*`
2×	`sub-neg` `associate-+l+` `diff-log` `sum-log`
1×	`+-commutative` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `associate-*l/` `clear-num` `associate-/r/` `frac-sub` `flip--` `flip-+` `distribute-lft-out`

Counts

3 → 99

Calls

3 calls:

12.0ms	(- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z)))
14.0ms	(+ (- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z))) t)
7.0ms	(/ y (/ 2.0 z))

series128.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z)))
57.0ms	(+ (- (* (/ 1.0 8.0) x) (/ y (/ 2.0 z))) t)
18.0ms	(/ y (/ 2.0 z))

simplify53.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	497	723
1	1847	693
2	5001	692

prune213.0ms

Filtered

108 candidates to 86 candidates (79.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Merged error: 0b

Counts

112 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* (/ 1.0 8.0) x) (* (sqrt y) (/ (sqrt y) (/ 2.0 z)))) t)
0.1b	(* (sqrt y) (/ (sqrt y) (/ 2.0 z)))
0.2b	(/ (sqrt y) (/ 2.0 z))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

285×	`times-frac`
183×	`add-sqr-sqrt`
153×	`*-un-lft-identity`
151×	`add-cube-cbrt`
93×	`sqrt-prod`
83×	`associate-r`
17×	`add-exp-log` `add-cbrt-cube`
15×	`div-inv`
13×	`associate-/r*`
10×	`unswap-sqr`
8×	`add-log-exp`
6×	`cbrt-undiv` `div-exp` `associate-l` `associate-/l*`
5×	`pow1`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-+l+` `sum-log` `associate-/r/`
1×	`+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+` `distribute-lft-out`

Counts

3 → 243

Calls

3 calls:

7.0ms	(+ (- (* (/ 1.0 8.0) x) (* (sqrt y) (/ (sqrt y) (/ 2.0 z)))) t)
26.0ms	(* (sqrt y) (/ (sqrt y) (/ 2.0 z)))
7.0ms	(/ (sqrt y) (/ 2.0 z))

series236.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ (- (* (/ 1.0 8.0) x) (* (sqrt y) (/ (sqrt y) (/ 2.0 z)))) t)
55.0ms	(* (sqrt y) (/ (sqrt y) (/ 2.0 z)))
112.0ms	(/ (sqrt y) (/ 2.0 z))

simplify111.0ms

Algorithm

egg-herbie

Counts

252 → 252

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	941	2142
1	4353	1920
2	5002	1907

prune491.0ms

Filtered

252 candidates to 159 candidates (63.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	252	0	252
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	252	3	255

Merged error: 0b

Counts

255 → 3

regimes155.0ms

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	16	6
1	16	6

end0.0ms

sample566.0ms

Algorithm

intervals

Results

340.0ms	9103×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample23.0ms

simplify28.0ms

prune2.0ms

localize9.0ms

rewrite19.0ms

series127.0ms

simplify33.0ms

prune310.0ms

localize9.0ms

rewrite37.0ms

series128.0ms

simplify53.0ms

prune213.0ms

localize13.0ms

rewrite54.0ms

series236.0ms

simplify111.0ms

prune491.0ms

regimes155.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample566.0ms

Profiling