Details

sample15.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 23.520795%

Guaranteed chance to sample good point: 65.377249%

Results

7.0ms	256×	body	80	valid
0.0ms	7×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

prune2.0ms

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.2b	(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `sqrt-prod` `add-cbrt-cube`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `sqrt-div` `associate-/r/` `flip-+` `add-log-exp`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `div-inv`

Counts

2 → 49

Calls

2 calls:

3.0ms	(sqrt (+ x 1.0))
8.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series26.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(sqrt (+ x 1.0))
17.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify43.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	412	473
1	1774	450
2	5002	447

prune132.0ms

Filtered

42 candidates to 55 candidates (-31.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.1b	(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
0.1b	(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out`
7×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r*` `sqrt-prod` `associate-/r/`
3×	`flip3-+` `associate-l` `flip-+` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `sqrt-div` `1-exp` `cbrt-unprod` `div-inv`
1×	`rem-sqrt-square` `pow-flip` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 94

Calls

3 calls:

3.0ms	(sqrt (+ x 1.0))
8.0ms	(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
12.0ms	(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

series34.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(sqrt (+ x 1.0))
13.0ms	(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
17.0ms	(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

simplify73.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	633	895
1	3098	811
2	5001	772

prune143.0ms

Filtered

62 candidates to 103 candidates (-66.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Merged error: 0b

Counts

106 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
0.0b	(sqrt (+ x 1.0))
0.2b	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
55×	`add-sqr-sqrt`
52×	`times-frac`
39×	`sqrt-prod`
38×	`add-cube-cbrt`
30×	`associate-r`
14×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-l` `associate-/l*` `unswap-sqr`
4×	`associate-/r*` `associate-/r/`
3×	`flip3-+` `flip-+` `add-log-exp`
2×	`cbrt-undiv` `sqrt-div` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

3 → 120

Calls

3 calls:

8.0ms	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
4.0ms	(sqrt (+ x 1.0))
18.0ms	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series55.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
4.0ms	(sqrt (+ x 1.0))
20.0ms	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify94.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	808	1382
1	4005	1273
2	5001	1249

prune175.0ms

Filtered

80 candidates to 129 candidates (-61.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	129	3	132

Merged error: 0b

Counts

132 → 3

regimes61.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample368.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 23.520795%

Guaranteed chance to sample good point: 65.377249%

Results

222.0ms	7998×	body	80	valid
4.0ms	174×	body	80	nan
0.0ms	2×	body	1280	valid

Details

sample15.0ms

simplify4.0ms

prune2.0ms

localize5.0ms

rewrite13.0ms

series26.0ms

simplify43.0ms

prune132.0ms

localize8.0ms

rewrite26.0ms

series34.0ms

simplify73.0ms

prune143.0ms

localize7.0ms

rewrite35.0ms

series55.0ms

simplify94.0ms

prune175.0ms

regimes61.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample368.0ms

Profiling