Details

analyze202.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.292737%

Guaranteed chance to sample good point: 90.846488%

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	22×	body	80	overflowed

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp a) (+ (exp a) (exp b)))
0.0b	(+ (exp a) (exp b))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

7.0ms	(/ (exp a) (+ (exp a) (exp b)))
4.0ms	(+ (exp a) (exp b))

series21.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(/ (exp a) (+ (exp a) (exp b)))
6.0ms	(+ (exp a) (exp b))

simplify89.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	163	384
1	486	357
2	1209	355
3	4128	355
4	5003	355

prune46.0ms

Filtered

37 candidates to 51 candidates (-37.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Merged error: 0b

Counts

52 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (exp a) (+ (exp a) (exp b))))
0.0b	(+ (exp a) (exp b))
0.0b	(+ (exp a) (exp b))
0.4b	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

116×	`sqrt-prod`
104×	`*-un-lft-identity`
83×	`add-sqr-sqrt`
79×	`times-frac`
52×	`add-cube-cbrt`
29×	`swap-sqr`
23×	`distribute-lft-out`
21×	`associate-r` `associate-l`
20×	`pow1`
10×	`associate-/r/`
9×	`sqrt-pow1` `pow1/2` `unswap-sqr`
8×	`add-log-exp`
7×	`flip3-+` `flip-+`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sqrt-div` `pow-prod-up` `div-inv`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `rem-sqrt-square` `sum-log`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 162

Calls

4 calls:

7.0ms	(sqrt (/ (exp a) (+ (exp a) (exp b))))
4.0ms	(+ (exp a) (exp b))
4.0ms	(+ (exp a) (exp b))
26.0ms	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (/ (exp a) (+ (exp a) (exp b))))
5.0ms	(+ (exp a) (exp b))
6.0ms	(+ (exp a) (exp b))
12.0ms	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	321	1773
1	1411	1634
2	5002	1581

prune139.0ms

Filtered

103 candidates to 174 candidates (-68.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	174	3	177

Merged error: 0b

Counts

177 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp a) (* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.0b	(+ (exp a) (exp b))
0.4b	(* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
26×	`add-sqr-sqrt` `sqrt-prod`
24×	`sqrt-div`
19×	`pow1`
14×	`add-cube-cbrt` `flip3-+` `flip-+`
11×	`swap-sqr` `add-cbrt-cube`
9×	`add-exp-log`
8×	`frac-times` `sqrt-pow1` `pow1/2` `associate-/r/` `distribute-lft-out` `add-log-exp`
7×	`associate-r` `associate-l`
5×	`pow-prod-up`
4×	`associate-r/` `associate-l/` `unswap-sqr`
3×	`times-frac` `pow-prod-down` `pow-sqr` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `div-exp` `prod-exp` `sum-log` `cbrt-unprod`
1×	`pow2` `frac-2neg` `pow-plus` `sqrt-unprod` `clear-num` `associate-/r` `rem-square-sqrt` `-commutative` `div-inv`

Counts

4 → 115

Calls

4 calls:

15.0ms	(/ (exp a) (* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b)))))
4.0ms	(+ (exp a) (exp b))
4.0ms	(+ (exp a) (exp b))
13.0ms	(* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b))))

series33.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (exp a) (* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b)))))
5.0ms	(+ (exp a) (exp b))
9.0ms	(+ (exp a) (exp b))
6.0ms	(* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b))))

simplify42.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	264	1034
1	1096	899
2	5001	877

prune104.0ms

Filtered

72 candidates to 127 candidates (-76.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	127	3	130

Merged error: 0b

Counts

130 → 3

regimes185.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

end0.0ms

analyze199.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.292737%

Guaranteed chance to sample good point: 90.846488%

sample379.0ms

Algorithm

intervals

Results

225.0ms	8000×	body	80	valid
16.0ms	691×	body	80	overflowed

Details

analyze202.0ms

sample15.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series21.0ms

simplify89.0ms

prune46.0ms

localize10.0ms

rewrite50.0ms

series44.0ms

simplify56.0ms

prune139.0ms

localize8.0ms

rewrite41.0ms

series33.0ms

simplify42.0ms

prune104.0ms

regimes185.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze199.0ms

sample379.0ms

Profiling